5ちゃんねる ★スマホ版★ ■掲示板に戻る■ 全部 1- 最新50  

■ このスレッドは過去ログ倉庫に格納されています

■■発売日前のもせ情報 part2■■

1 : :02/08/31 20:43 ID:xM70xHt2
大好評に付き第2弾です。
ちなみに前スレは俺の全勝で終了しました。

2 :asdf:02/08/31 20:43 ID:a6RyHbcy
このスレの削除依頼を出しました。

3 : :02/08/31 20:44 ID:xM70xHt2
>>2
のアク禁を申請しました。

4 :asdf:02/08/31 20:46 ID:a6RyHbcy
つーか、前スレはキティが埋め立ててたな

5 : :02/08/31 23:26 ID:xM70xHt2
どうやら今回も俺の全勝で終了しそうだな(w

6 : :02/09/01 16:24 ID:kJNPJo3y
part1とpart2両方俺の全勝で終了!

7 : :02/09/01 18:32 ID:hMgDve6D
悲惨なスレ記念かきこ

8 : :02/09/01 23:02 ID:y6kbNV9M
http://dempa.2ch.net/prj/page/heisa/news5.html

9 : :02/09/01 23:28 ID:kJNPJo3y
hMgDve6Dは悲惨な人生決定!

10 : :02/09/02 04:20 ID:nuNZ6e27
kJNPJo3yは死亡決定!

11 : :02/09/02 08:34 ID:Lj3DJPdP
nuNZ6e27は真性馬鹿だな(w人間だったらいつか死ぬのは当たり前だろ(wもっとまともな事言えないのかね。小学生以下だな(w

12 : :02/09/02 12:42 ID:GXxXGvm6
みんなお前の真似して馬鹿なこと言ってるんだよ。
からかわれてるのに気付かないんだな、頭悪いな。

13 : :02/09/02 20:00 ID:Lj3DJPdP
GXxXGvm6は自分が身体障害者ということに気づいていないキチガイ

14 : :02/09/02 21:39 ID:nuKCkoXC
Lj3DJPdPは根暗のうんこ

15 : :02/09/02 21:47 ID:HNHb3EAF
http://www.cotw.jena.co.uk/cotw/125-6ua3/green09a.jpg
>>1の顔


16 : :02/09/02 22:37 ID:Lj3DJPdP
nuKCkoXCは「うんこ」とか小学生並みのことしか言えない知恵遅れ
HNHb3EAFはグロ画像貼るのを快感としているレイプ犯殺人鬼

17 : :02/09/03 04:35 ID:EVCfRYWB


18 : :02/09/03 19:57 ID:S+d4C8hU


19 : :02/09/03 23:09 ID:g0Qf3CxN
またこの優良スレも1000まで行きそうだな(w

20 : :02/09/04 05:02 ID:3C8nkQTM


21 : :02/09/04 13:56 ID:Agk/05G4
結局夏厨は夏休みが終わると何も言い返せないのでした。


              完










22 : :02/09/04 13:56 ID:Agk/05G4
よって俺様の全勝で終了!

23 : :02/09/04 17:45 ID:MvLpZNAq
( ´,_ゝ`)プッ

24 :-:02/09/04 17:46 ID:5WWMEZBp
よって皆様の全勝で終了!

25 :( ´,_ゝ`)プッ :02/09/04 17:47 ID:zc1keTnb
Lj3DJPdPは根暗のくそったれヒッキー

26 : :02/09/05 02:41 ID:zzTVDLaD
>>1
悲惨な人間…

27 : :02/09/05 03:02 ID:8WbHJEYk
Agk/05G4は両親もカス

28 : :02/09/05 04:37 ID:nqvl7zr6
MvLpZNAqは( ´,_ゝ`) プッを覚えたての厨
5WWMEZBpはもう少し日本語の勉強をしましょう(w
zc1keTnbは一生童貞のアニメヲタ
zzTVDLaDは悲惨なゴミ
8WbHJEYkは先祖から末代までゴミカス人でなしキチガイ家族

29 : :02/09/05 13:25 ID:Bpag5iJw
nqvl7zr6は頭も性格も悪い嫌われ者

30 : :02/09/05 20:24 ID:QyuCtidk


31 : :02/09/05 21:33 ID:nqvl7zr6
Bpag5iJwは全身マヒの植物人間

32 : :02/09/05 22:30 ID:ewoUNTyu
>>1
(^Д^)ギャハ!
ははぁ・・・あなたもしかしたら施設から来た人ですね?
臭いですぐわかりますよ♪
この中学生のような書きこみは施設特有のものです(^^;ワラ
あなたもしかして「俺ってアングラ詳しいぜ」とか思ってませんか?
愛読書はもしかして「ハッカージャパンとゲームラボ」だったりして(^^;ワラ
あなたのようにインターネットを初めて数ヶ月の人には良くある事です♪
自分が裏の道に精通してるように錯覚してしまうようなことはね♪
小さいうちは悪人に憧れることはよくある事らしいですし♪
でもちょっと考えてみてください♪
それってものすごく恥ずかしいことなんですよ♪
あなたの書きこみをみてみんな笑ってます♪
「こいつガキだなー(^^;ワラ」って☆ミ
そう思われるのって悔しくないですか?
だったらそんなくだらないことは止めましょうよ♪
今だったら誰も本気で怒ってませんよ♪
まだ中学生なんだしいくらでもやり直しはできます♪
ほんのちょっと勇気を出すだけでいいんです♪
ほんのちょっとだけね(^^;ワラ

33 : :02/09/06 00:06 ID:nOiFFZau
ewoUNTyuは煽りのコピペと得意げに使う2ch初心者

34 : :02/09/06 01:04 ID:pu3lePUb
nOiFFZauは日本語が上手く話せない障害者

35 : :02/09/06 02:44 ID:nOiFFZau
pu3lePUbは掲示板に書き込むことを話すと思っている知恵遅れ

36 : :02/09/06 20:31 ID:AN/CEG4k


37 : :02/09/06 23:07 ID:AMVAhmcP
nOiFFZauは悲惨なスレしか立てられないクズ

38 : :02/09/06 23:11 ID:6gfDDAMU
>>1は本物のキチガイっぽいな、頭も悪そうだし。

39 : :02/09/06 23:12 ID:DkjQGzDA
AN/CEG4kは書き込み内容通り脳みそ空っぽのサル
AMVAhmcPは臆病でスレ立ても出来ないチキン野郎

お前ら人の真似ばっかで楽しいか?
創始者の俺様の全勝でこのスレは終了!


40 : :02/09/06 23:14 ID:QBvatXm8
>人の真似ばっか
お前がな、障害者君

41 :  :02/09/06 23:17 ID:1WDnz5t7
創始者?
( ´,_ゝ`)プッ

42 : :02/09/06 23:39 ID:RkG5kQAp
このスレ悲惨すぎて笑えないな

43 : :02/09/07 01:45 ID:6A3Rs/vO
AMVAhmcPは煽りしか楽しみのない引き篭もり。
6gfDDAMUは本物の奇形児っぽいな
DkjQGzDAは下手糞な騙り
QBvatXm8は「お前がな」という古典的なことしか言えない化石野郎
1WDnz5t7は「( ´,_ゝ`) プッ」を覚えたての2ch初心者
RkG5kQApはホームレス




44 :-:02/09/07 02:34 ID:y/NMBWXO
1の友達になってやるよ
ありがたく思えよゴミ

45 : :02/09/07 02:34 ID:urSw+v8D
>>43
それ全部お前自身のことじゃん



46 : :02/09/07 02:41 ID:o8PtJptd
こんなに馬鹿な>>1は珍しいな。
消防か?

47 : :02/09/07 07:26 ID:6A3Rs/vO
y/NMBWXOは性病なので友達になりたくありません。
urSw+v8Dは単レスの単純馬鹿。ユモーアセンス0
o8PtJptdは視覚障害と聴覚障害の医学会を驚かせた奇形児。


48 : :02/09/07 16:29 ID:VCSfsY/q
ワンパターンな煽りだな、もっとひねろよゴミ
毎日自分の馬鹿さ加減を晒して楽しいか?

49 : :02/09/07 21:39 ID:vj7JWWyP


50 : :02/09/08 01:03 ID:0utl7RX4
VCSfsY/qももっとひねれよ(w
つうか死ね(wwww

51 : :02/09/08 05:06 ID:U5XnUgi1


52 : :02/09/08 20:12 ID:2ssGTnQd


53 : :02/09/09 04:42 ID:BWDzuSsS


54 : :02/09/09 06:27 ID:K5TbbuSS
age荒らし必死だな(w

55 : :02/09/09 16:04 ID:GWkEIPiZ
一番必死なのは>>1

56 : :02/09/09 16:19 ID:okDU9O9U
本郷が自作自演してるスレはここですか?

57 : :02/09/09 20:09 ID:M0OxKkCW


58 : :02/09/09 20:41 ID:9hnYQibt
>>1
お前は間違いなく社会不適合者だな。
カスは社会に出てこなくていいから引き籠もったまま死んでしまえ。

59 : :02/09/10 00:51 ID:qVLhN4rA
GWkEIPiZは毎日残飯をあさる必死なホームレス
9hnYQibtは人間不適合者だな(w

60 : :02/09/10 04:55 ID:ojppz/zB


61 : :02/09/10 19:47 ID:qpPVq492


62 : :02/09/10 19:56 ID:ox607ksO
ベックゲト

63 : :02/09/11 03:07 ID:b6m8dbjE
もう全員ageる事しか抵抗のできない低脳腰抜けしかいないので。
俺の全勝で終了!

64 : :02/09/11 11:35 ID:oSVMkmAL


65 : :02/09/11 20:05 ID:hB3OrRd/


66 : :02/09/11 21:59 ID:oG7ml+iK
>俺の全勝で終了!

ホームラン級の馬鹿ですな(プ


67 : :02/09/11 23:21 ID:b6m8dbjE
oG7ml+iKはガチンコの大和龍門にあこがれる単純厨房

68 : :02/09/12 04:45 ID:T2RW1jvX


69 : :02/09/12 05:07 ID:8XUoB17P
空白スペースしか反論できないようなので俺の全勝で終了!!

70 : :02/09/12 13:56 ID:YrO5puJv


71 : :02/09/12 21:10 ID:ObZ3ATcG


72 : :02/09/13 04:18 ID:u8fyRkmQ


73 : :02/09/13 19:22 ID:oEjhi2xT
晒しage

74 : :02/09/13 23:23 ID:j6nutc+H


75 : :02/09/14 05:14 ID:oaXqHMae


76 : :02/09/14 06:30 ID:R+f0ILVB
ところで、もせってなんですか?
まさかMP3のことじゃないですよね。
そんな大昔の言葉を使ってるとは、とても信じられないので
違うと信じてます。

77 : :02/09/14 07:10 ID:/FBpxPsX
oEjhi2xTは晒しているつもりが実は保全になっていることに気づかない真性厨
R+f0ILVBは田舎者

78 : :02/09/14 12:43 ID:YFmN8Ws2
晒すために保守してるんだろ

79 : :02/09/14 13:40 ID:MeLHcKFf
>>77-78

>>73>>76に簡単に
釣られるお前らが一番見苦しい。

80 : :02/09/14 14:11 ID:PjkBxPjH
>>73 = >>78 ですが何か?

81 : :02/09/14 18:13 ID:/FBpxPsX
MeLHcKFfは釣られたくてレスする変態

82 : :02/09/14 18:14 ID:/FBpxPsX
YFmN8Ws2は保守の意味をわかっていない必死で言い訳をする馬鹿

83 : :02/09/14 19:49 ID:I1kznctk


84 : :02/09/15 04:26 ID:AmP1gZkA


85 :(;´Д`):02/09/15 04:37 ID:O0uZM16h
100取った奴が真の糞

86 : :02/09/15 05:44 ID:AwuP+6s+
悲惨なスレ見つけた。

87 : :02/09/15 07:08 ID:6mkEpsik
O0uZM16hは意味不明な事を言い出す馬鹿
AwuP+6s+は友達が1人もいない悲惨な人間

88 : :02/09/15 19:42 ID:CGd+foZd


89 : :02/09/16 06:37 ID:hXKai4dp
はい、つーことで誰も言い返せないので
俺の全勝で終了!


90 : :02/09/16 07:13 ID:Ulm0xmQ6
悲惨なスレ…

91 : :02/09/16 07:17 ID:MHdhHCJB


92 : :02/09/16 08:48 ID:hXKai4dp
Ulm0xmQ6は悲惨なウンコ

93 : :02/09/16 20:30 ID:Qz7ijA+T


94 : :02/09/16 22:26 ID:/e5BH18e
>>1は今年の夏厨の中で一番頭悪いな。

95 : :02/09/17 03:21 ID:2j8+Y2tI


96 : :02/09/17 03:24 ID:xOPiKT3R
そんなことないよ。僕の方が頭悪いから
1をいじめないで(泣)

97 : :02/09/17 04:04 ID:wLZhXgiV
 

98 : :02/09/17 05:46 ID:hxJkdmR+
>>96 = >>1
自己弁護に必死だな(w

99 : :02/09/17 07:00 ID:CyoKOOzf
/e5BH18eは2ch始まって以来の真性リアル厨だな。
xOPiKT3Rは下手糞な自作自演で1を装う単発ヒッキー。
hxJkdmR+はそれに騙される単純馬鹿

100 : :02/09/17 07:01 ID:CyoKOOzf
100ゲット。
よって俺の全勝で終了!!!!

101 : :02/09/17 21:04 ID:/5yeuTHf


102 : :02/09/17 21:08 ID:iGDfe2c9
BoA「奇蹟/NO.1」(AVCD-30378)
DREAMS COME TRUE「IT'S ALL ABOUT LOVE」(DCTR-5001)
HB「Do my thing」(TFCC-89039)
Lyrico「キセキノハナ」(SRCL-5438)
michico「the superstar」(SICL-25)
MIO「Mother's Eternity」(SRCL-5437)
Neo「You've Got A Friend」(PCCA-70017)
PENICILLIN「花園キネマ」(IOCD-11025)
shela「Himawari」(AVCD-30362)
The Spy "C" Dildog「パープルビーヘヴン」(MUCD-5018)
WHiTE「ピンクのボトル」(SRCL-5411)
WORD SWINGAZ「Let it go!〜炎の五回裏−O-Town Players E.P.−」(PCCA-70015)
うたいびと はね「未タイトル」(FLCF-7029)
キセル「ギンヤンマ」(VICL-35431)
ゴスペラーズ「Promise」(KSCL-480)
ゴスペラーズ「Two-way Street」(KSCL-483)
ゴスペラーズ「U'll Be Mine」(KSCL-481)
ゴスペラーズ「Winter Cheers!」(KSCL-482)
ゴスペラーズ「カレンダー」(KSCL-484)
ゴスペラーズ「待ちきれない」(KSCL-485)
なおと「あの素晴らしい愛をもう一度」(SRCL-5441)
ミニ塾。feat.塾長「SMALL WORLD」(SRCL-5426)
岡村靖幸と石野卓球「come baby」(KSCL-476)
京田未歩「Dear Mr.毎日」(PCCA-1764)
小島麻由美「愛しのキッズ」(PCCA-1762)
松浦亜弥「The 美学」(EPCE-5176)
上原多香子「Air」(AVCD-16024)


オマイラMXがなかったとして、どれか『買い』ますか?

103 : :02/09/17 21:19 ID:zWHtOGLL
>>102
スレ違い

104 : :02/09/17 21:28 ID:yPZuJ6Lr
>>102
ゴスペラーズは今までDLしまくったんでMXが使えなくなったら1枚くらいは買う


105 : :02/09/18 04:43 ID:6hiByPGV
>>104
スレ違い

106 : :02/09/18 07:54 ID:Uv5RxxiY
zWHtOGLLは自分がすれ違いに気づかない知障
6hiByPGVは必死で荒らそうとする真性厨

107 : :02/09/18 09:48 ID:kqgwqczR
Uv5RxxiYは母子相姦に毎日ふける時代錯誤な化石人間


108 : :02/09/18 18:29 ID:Uv5RxxiY
kqgwqczRは母子相姦が時代錯誤と勘違いしている恥ずかしい脳内電波


109 : :02/09/18 22:11 ID:5J3W6Xar


110 : :02/09/19 02:03 ID:X0qqYk1h
>>1以外の煽りは面白いな、>>1はカス

111 : :02/09/19 05:53 ID:LixqzuMq
X0qqYk1hの煽りは今までの中で一番カスゴミ

112 : :02/09/19 21:33 ID:YN0lR2qu


113 : :02/09/20 04:23 ID:/p5wqTAY


114 : :02/09/20 06:14 ID:2FJ1s0n6
Uv5RxxiYは本当に母子相姦やってる変質者

115 : :02/09/20 15:03 ID:OEMXc5V0
CyoKOOzfは100ゲットして全勝した神

116 : :02/09/20 21:28 ID:6qkxhtUy


117 : :02/09/21 04:38 ID:t7G6Swqj


118 : :02/09/21 07:33 ID:LamGpuxo
2FJ1s0n6は母子相姦の意味をわかっていない低脳

119 : :02/09/21 09:25 ID:TAol1M94
>>115
禿藁(w

120 : :02/09/21 10:07 ID:oYqhtCt8
>>1以外は面白いな

121 : :02/09/21 17:51 ID:LamGpuxo
oYqhtCt8は世界一つまらないハゲオヤジ

122 : :02/09/21 19:59 ID:VTRKvEc0


123 : :02/09/21 21:04 ID:YITqIW1s
VTRKvEc0はIDに"VTR"が入っていて運のいい奴

124 : :02/09/22 05:55 ID:qvAVQJlG


125 : :02/09/22 19:33 ID:UyrfVGeV


126 : :02/09/23 04:44 ID:mHzbk7xa


127 : :02/09/23 09:04 ID:6TBQ7JZA
1の全勝で終了!

128 : :02/09/23 11:21 ID:bEWnZTob
>>1は普通に頭が悪いだけで面白みがない

129 : :02/09/23 19:00 ID:6TBQ7JZA
bEWnZTobは普通に童貞で知障者だから煽る価値無し

130 : :02/09/24 02:08 ID:aANKad4D
1の全勝で終了!

131 : :02/09/24 02:33 ID:mdgugHjT
ryosure

132 : :02/09/24 02:41 ID:LVMZ1yHC
いや・・・










もせは発売しないだろ?

133 : :02/09/24 02:49 ID:OsN83qW8
クールなツッコミ…


しかし相変わらず歴代で悲惨なスレだなw

134 : :02/09/24 03:03 ID:5BDEKnwg
1は全勝で
■■■■■■■■■■■■■■■■■終了■■■■■■■■■■■■■■■■■■

135 : :02/09/24 08:40 ID:aANKad4D
LVMZ1yHCは日本語を理解できない言語障害者
OsN83qW8は日本一悲惨な人生を送るホームレス

136 : :02/09/24 21:06 ID:Wvf4Cmjz
相変わらずつまらん煽りだな、もう少し考えろよゴミ
ひねった煽りに何も返してないとこをみると相当読解力のない障害者だな(プ

137 : :02/09/25 00:48 ID:524T44Ud
Wvf4Cmjzは誰にレスするかも書けない2ch初心者( ´,_ゝ`) プッ

138 : :02/09/25 04:28 ID:XmIH1EeM


139 : :02/09/25 04:46 ID:AWiaEz3Y
      .┌┐
        / /
      ./ / i
      | ( ゚Д゚) <そんなバナナ!
      |(ノi  |)
      |  i  i
      \_ヽ_,ゝ
        U" U


140 : :02/09/25 21:27 ID:pxUOCgXX


141 : :02/09/26 00:43 ID:RuTs99MO
1の全勝で終了!

142 : :02/09/26 04:46 ID:DsKrToY5


143 : :02/09/26 21:03 ID:JJbGMMQn


144 : :02/09/26 21:37 ID:vn00n0Dg
>>1は下手な揚げ足取りしかできない低学歴

145 : :02/09/26 23:57 ID:RuTs99MO
vn00n0Dgはワンパターンな煽りしかできない単細胞

146 : :02/09/27 01:17 ID:WNPLnABU
ワンパターンな煽りしかできないのは>>1だろ、幼稚園児並( ´,_ゝ`) プッ

147 :sage:02/09/27 01:22 ID:AuQIKxDH
常連スレなんだからマターリいこうや( ´ー`)y-~~

148 :hage:02/09/27 02:10 ID:nwJGaNvB
age

149 : :02/09/27 08:57 ID:k6YoRSTY
WNPLnABUは人の言われたことをそのまま返すことしかできない思考能力0の中卒

150 : :02/09/27 10:28 ID:yvevcn4e
関連スレ

清春(Sads&黒夢) VS 松岡(SOPHIA)【part2】
http://cocoa.2ch.net/test/read.cgi/musicj/1032319948/

松岡 VS 清春 VS Gackt VS hyde VS 河村隆
http://cocoa.2ch.net/test/read.cgi/musicj/1031660489/

151 : :02/09/27 17:00 ID:Z3cte2Pa
>>1
>人の言われたことをそのまま返すことしかできない思考能力0の中卒
100%お前の事じゃないか、自分を煽ってんのか?(プ

152 : :02/09/27 18:06 ID:UwKr7qjk
電波2chでなぜかこのスレが良スレとして紹介されてる…
ttp://dempa.2ch.net/prj/page/ura2ch/news002090511667.htm

153 : :02/09/27 20:28 ID:k6YoRSTY
Z3cte2Paは発狂した人格障害者


154 : :02/09/28 05:12 ID:hQlVEagC


155 : :02/09/28 21:09 ID:zfJ0JDZP


156 : :02/09/29 05:35 ID:VKhjfC0m


157 : :02/09/29 05:54 ID:Ohjb18w/
レポート元 [Godsloop2] godsloop.dyndns.tv:7777
Sunday, September 29, 2002 05:44:30

ユーザ名 : BOSS
アクセスレベル : Human
オンライン時間 : 0:06:35
入室チャンネル :
状態 : Remote
共有ファイル数 : 5416
現在のダウンロード : 0
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接続種類 : T3+
クライアントバージョン : WinMX v2.6j Notice:


  

158 : :02/09/29 13:51 ID:Y8ArxHut
ビビって誰も言い返せないので1の全勝で終了!

159 :age:02/09/29 18:07 ID:dZtowiC6
age

160 : :02/09/30 05:47 ID:H/yk+wlD
1の全敗で終了!!!!!!1

161 : :02/09/30 19:11 ID:HCUqqDnw
H/yk+wlDは根性なしの腰抜けインポ野郎。


162 : :02/10/01 00:10 ID:J8UvQU1b
1の全勝で終了!

163 : :02/10/01 00:11 ID:J8UvQU1b
↓毎日午前4時〜6時にageる引き篭もり童貞キチガイ馬鹿

164 : :02/10/01 04:07 ID:wU3yqZKK


165 : :02/10/01 10:13 ID:J8UvQU1b
予想通りキタ━━━━(゚∀゚)━━━━ !!!!!
ぎゃははは最高!

166 :( ゚Д゚)<うぐぅ ◆dKanonKQ :02/10/01 16:02 ID:TuheOqRM
ID:J8UvQU1bは引き篭もり童貞キチガイ馬鹿

ID:wU3yqZKKは人の誘いもいやだぁっと断れないいいやつ。

167 : :02/10/01 18:10 ID:J8UvQU1b
TuheOqRMは毎日2chしか楽しみのないDQN

168 : :02/10/01 19:26 ID:X2bmeJ6D


169 :1:02/10/02 01:55 ID:OcdiW5qd


170 :( ゚Д゚)<うぐぅ ◆dKanonKQ :02/10/02 05:10 ID:kf9IiYV7
ID:OcdiW5qdはネタがないくせに保守する糞

171 : :02/10/02 05:12 ID:4/IEIHFL
kf9IiYV7は169を1と勘違いする恥ずかしい香具師

172 : :02/10/02 05:15 ID:4/IEIHFL
「うぐぅ」←この響きがオタク丸出し(w
秋葉原で狩られるなよ(w

173 :1:02/10/02 05:50 ID:bkPXeDqA


174 :1(本物):02/10/02 15:29 ID:4/IEIHFL


175 :1(本物):02/10/02 20:08 ID:qIqEnP5d


176 : :02/10/03 02:30 ID:2TaXqhMb
↓毎日午前4時〜6時にageる引き篭もり童貞キチガイ馬鹿




177 :( ゚Д゚)<うぐぅ ◆dKanonKQ :02/10/03 02:37 ID:M7EgxnS9
↑は☆ず☆れ〜☆残念でしたぁ〜☆ば〜かば〜か☆

178 :1:02/10/03 05:26 ID:YEn7RGAT


179 : :02/10/03 09:46 ID:WmVyBEPC
LIVの「SOUL」って検索してもHITしないね。3.3WPN

180 : :02/10/03 11:31 ID:2TaXqhMb
M7EgxnS9は自分に↑を付けてば〜かば〜か☆と言う知的障害者


181 :( ゚Д゚)<うぐぅ ◆YgdKanonKQ :02/10/03 18:39 ID:wwHWDXxx
↑ちげぇよ、糞がぁ〜お前盲目すぎだゾ〜ID:2TaXqhMbに言い返してやったんだぃ

182 : :02/10/03 20:05 ID:KtHr/qIk
>>181
糞ワラタw


183 : :02/10/04 00:17 ID:Xz944BiZ
177 :( ゚Д゚)<うぐぅ ◆dKanonKQ :02/10/03 02:37 ID:M7EgxnS9
↑は☆ず☆れ〜☆残念でしたぁ〜☆ば〜かば〜か☆

181 :( ゚Д゚)<うぐぅ ◆YgdKanonKQ :02/10/03 18:39 ID:wwHWDXxx
↑ちげぇよ、糞がぁ〜お前盲目すぎだゾ〜ID:2TaXqhMbに言い返してやったんだぃ



184 :1:02/10/04 04:44 ID:eIpbZ9mK


185 :1:02/10/04 20:19 ID:cxI+ZD2v


186 : :02/10/04 20:21 ID:Dc/Sva1J
 






187 :  :02/10/04 20:23 ID:Dc/Sva1J
zzzzzzzzz










188 :1:02/10/05 06:03 ID:V3vJMg+A


189 : :02/10/05 18:09 ID:ETunqVPQ
モセは2.6の子鯖と3.3どっちが数多い?

190 : :02/10/06 05:54 ID:1kEiPxGL
>>189
スレ違い

191 : :02/10/06 06:56 ID:oFPkGCyM
3.3でWPNへ逝きつつ2.6申請して子鯖へ逝けばいいだろ

192 : :02/10/06 20:07 ID:ta59VNPb


193 :_:02/10/07 03:49 ID:zlzoirJk
前スレの>>1がまた糞スレ立てて悲惨な目にあってます↓
※洋楽動画専門情報局※
http://tmp.2ch.net/test/read.cgi/download/1033574413/l50



194 : :02/10/07 03:51 ID:JSVa9wG5
新作情報
http://tmp.2ch.net/test/read.cgi/download/1033754497/

195 : :02/10/07 05:53 ID:l++5CmN4


196 : :02/10/07 12:21 ID:lfv1Qn3d
zlzoirJkは妄想で現実逃避している夢遊病患者

197 : :02/10/07 14:17 ID:lfv1Qn3d
http://www.need4xxx.net/asian/hamedori/data/099/dir/

198 :1:02/10/07 22:27 ID:RB3J4wGC


199 : :02/10/07 22:27 ID:fHpy7xG2
199

200 : :02/10/07 22:28 ID:fHpy7xG2
未だ!

 2 0 0 下 っ ト !

201 :( ゚Д゚)<うぐぅ ◆YgdKanonKQ :02/10/07 22:32 ID:NQTjJyAd
くっ!!!俺様が200とろうとカキコボタンおそうと思ったらおす直前に回線切れやがったあぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁ

ID:fHpy7xG2はほんと、カコワルイネ!

202 : :02/10/07 22:33 ID:fHpy7xG2
>>201
あなたがいちばんこっこ悪いですが何か?

203 :( ゚Д゚)<うぐぅ ◆YgdKanonKQ :02/10/07 22:35 ID:NQTjJyAd
こっここ〜ここここ〜こいはこいはこい

204 : :02/10/08 00:29 ID:li/ERLW5
NQTjJyAdダサッ( ´,_ゝ`)

205 :1:02/10/08 05:29 ID:TNcOaC2A


206 :1:02/10/08 20:05 ID:0nJ27vtV


207 :1:02/10/09 04:34 ID:MWeypArE


208 :1:02/10/09 21:34 ID:QPPel4aB


209 : :02/10/09 23:36 ID:HNPOhVic
200 :  :02/10/07 22:28 ID:fHpy7xG2
未だ!

 2 0 0 下 っ ト !


201 :( ゚Д゚)<うぐぅ ◆YgdKanonKQ :02/10/07 22:32 ID:NQTjJyAd
くっ!!!俺様が200とろうとカキコボタンおそうと思ったらおす直前に回線切れやがったあぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁ


210 : :02/10/10 04:33 ID:cgzPTgDU


211 :1:02/10/10 20:13 ID:iz2xZlKv


212 :1:02/10/11 04:50 ID:y2xR9N5b


213 :1:02/10/11 20:58 ID:4Naw5TDO


214 :1:02/10/12 05:05 ID:d2SrF1tR


215 :1:02/10/12 19:51 ID:HBXQpbJL


216 :1:02/10/13 05:19 ID:BJFaw+86


217 :1:02/10/13 19:31 ID:PqW7xtXI


218 : :02/10/14 05:01 ID:SvgLFPIm
↓今日は来ないのかな

219 :1:02/10/14 19:51 ID:quT2Wcac


220 :( ゚Д゚)<うぐぅ ◆YgdKanonKQ :02/10/14 23:27 ID:mYfxfBR7
↑来た




↓次はいつかな

221 : :02/10/15 04:14 ID:WBEllCv0
↓そろそろ来るぞ

222 : :02/10/15 05:51 ID:WBEllCv0
↓19時〜21に来るぞ

223 :1:02/10/15 21:30 ID:WBEllCv0
もうバカしかいないので俺様の全勝で終了!

224 :1:02/10/16 05:16 ID:B6NfFWkU


225 :( ゚Д゚)<うぐぅ ◆YgdKanonKQ :02/10/16 05:20 ID:34NynnRk
↑出た!

226 : :02/10/16 17:32 ID:I5I8GrNL
↓今日も19時〜21に来るぞ

227 :ナナシサソ:02/10/17 00:19 ID:Bppn5ep/
浜崎のCMで
「BOSS,君がそばにいてて、BOSS、〜〜〜〜〜〜〜」
あれって曲名あるの?

228 : :02/10/17 03:41 ID:nn9RwTES
↓今日も4時〜6時に来るぞ

229 :-:02/10/17 07:32 ID:5lKnxRfr
オリコンより今週の気になる新譜を・・・(個人的ですが)

10/16 My Own Destruction - ELLEGARDEN
エモコア&メロディックパンク。情緒的エモ好き必聴の一枚。

10/16 黒盤 - マスラヲコミッショナー
インディーズで話題沸騰中・・・・かもしれない爽やかパンクス・マスラヲコミッショナーの1stアルバム。
名曲「追風」を含む全11曲。

10/16 TERMINAL BOREDOM ver.2 - REGISTRATORS
ラフでポップなパンクロック。
格好良すぎるREGISTRATORSの新アルバム。

10/17 一期一会 Sweets for my SPITZ
コアなロックリスナーも愛聴という日本の宝スピッツのカバーアルバム。
椎名林檎やLOST IN TIME、ポリシックス、中村一義などが参加。

230 :1:02/10/17 23:34 ID:sxI/+SPz
>>227 >>229
スレ違い

231 : :02/10/18 00:44 ID:DQuqQAuw
もうバカしかいないので1の全勝で終了!

232 :1:02/10/18 05:30 ID:a79vV64a


233 ::02/10/18 15:35 ID:DQuqQAuw
馬鹿がキタ━━━━(゚∀゚)━━━━ !!!!!


234 : :02/10/19 00:36 ID:/Wbq9AS2
ピンポンほすぃ

235 :1:02/10/19 05:40 ID:ASVSLLzK


236 :ナナシサソ:02/10/19 05:58 ID:NmliIG1k


237 :ナナシサソ:02/10/19 06:53 ID:ofK+WK/s
諸君!DLが好きだ 諸君!!DLが好きだ 諸君!DLが大好きだ。
lriaが好きだ 偽装解凍ツールが好きだ WinMXが好きだ 
もせが好きだ ロムが好きだ エロ画像が好きだ ムービーが好きだ
割れずが好きだ
学校で 会社で 自宅で 地球で 幸福都市で ほめすてで WPNPで 
ネット上で行われる ありとあらゆるDL行動が大好きだ
諸君 私はDLを 地獄のようなDLを望んでいる
諸君 私に付き従うワレザー諸君 君達はいったい何を望んでいる?
更なるDLを望むか? 情け容赦のない糞のようなDLを望むか?
回線速度と時間の限りを尽くし 飯を食うのもわすれ 永遠に続く
テレホのようなDLを望むか?
DL!! DL!! DL!!

238 : :02/10/19 15:28 ID:69gH8plS
>>234

>ピンポンほすぃ
( ´,_ゝ`) プッ馬鹿じゃねーの?

239 :1:02/10/19 20:30 ID:S7U4ED/p


240 : :02/10/19 22:10 ID:69gH8plS
自分で1とか言って毎日午後9時前後と午前4時前後にageてる奴って
頭悪いよね引き篭もりなんじゃないの?病院行けって感じ(w

241 :1:02/10/20 05:50 ID:U4yYQvuO


242 ::02/10/20 06:22 ID:dwdByhbY
低脳キタ━━━━(゚∀゚)━━━━ !!!!!

243 :1:02/10/20 21:14 ID:0/Qi7r4o


244 ::02/10/20 21:15 ID:dwdByhbY
低脳キタ━━━━(゚∀゚)━━━━ !!!!!

245 : :02/10/20 21:16 ID:dwdByhbY
↓次は4時ごろかな(w

246 :1:02/10/21 04:56 ID:N6B/EyHE


247 ::02/10/21 05:27 ID:24DW7VLd
106 :番組の途中ですが名無しです :02/10/21 01:05 ID:pg2/gNLj
http://www2.strangeworld.org/uedakana/sahra6138.jpg
コレマジ?


248 : :02/10/21 08:04 ID:UVp1Wj+H
低脳予想通りキタ━━━━(゚∀゚)━━━━ !!!!!
↓今度は9時ごろかな?(w

249 :-:02/10/21 18:36 ID:hHVB3BBz
        ▄██     ▀▄             █▄  ▀█▄
  ▄▄▄████▀       █ ▄ ▄███▄      █▄   ▀▄
   █▀  █  ▄▄   █▄██ █▀  ▀█   ▄   █ ▄████▄▄
   █▄▄████▀      █▀█▀    █   ██▄██▀▀    ▀██
   █▀▀ ▀▄       ▄██      █    ▀▀ █       █▀
   █    █▄  █   ██   ▄████       ▀█   ▀██▀
   █▄▄█▀ █▄██  █ █   █   ██▄      █▄
  ███▀    ██▀    █   ▀███▀ ▀▄      ██


250 : :02/10/22 00:16 ID:1r51zkv7
↓今度は4時ごろかな?(w

251 : :02/10/22 06:02 ID:UgiflVvW
↓今度は21時ごろかな?(w


252 : :02/10/22 21:06 ID:ATxSND3f
↓今度は4時ごろかな?(w

253 :ナナシサソ:02/10/22 23:16 ID:f2eHcD76
落ち目倉木手に入れマスタ!!(・∀・)
皆さんQよろw

254 : :02/10/23 04:57 ID:15udnl1B
>>253
スレ違い

255 : :02/10/23 05:52 ID:bjsj/Lxz
もうバカしかいないので1の全勝で終了!

256 : :02/10/23 19:15 ID:iPnZRlRZ
>>237
よろしいならばDLだ。
われわれは満身の力を込めて今順番待ちした糞共有だ

だがこのくらい闇の底で並びつづけてきた我々に
多少のもせでは物足りない

DOMを!
一心不乱のDOMを!!

われらはわずかな少数派。子鯖の隅に追いやられる存在かもしれない
だが私は君らが一騎当千のDOMだと信じている
ならば君らと私で総量100TのDOMになろうではないか

DOMを忘却の彼方へと追いやり
眠りこけている連中を叩き起こそう

髪の毛をつかんで引きずり降ろし
眼を開けさせ思い出させよう

連中に恐怖の味を思い出させてやる
連中に寝起きの見知らぬ青い文字を思い出させてやる

天と地のはざまには奴らの哲学では思いもよらない事がある事を思い出させてやる
総兵力100TのDOM信者の戦闘団で
良共有のファイルの価値を壊し尽くしてやる

「行くぞ諸君!」

257 : :02/10/23 20:52 ID:bjsj/Lxz
PnZRlRZはキチガイ

258 :1:02/10/24 04:19 ID:e9rQDS94


259 :1:02/10/24 21:17 ID:gdhBZgHx


260 : :02/10/24 22:18 ID:dqiVTwhQ
>PnZRlRZはキチガイ
>>1はこんな返ししかできないのか?障害者?( ´,_ゝ`)プッ

261 : :02/10/24 22:23 ID:bYx/7UIL
>>1は1行レスしかできない知恵遅れ

262 : :02/10/25 01:33 ID:o7rWCBFF
dqiVTwhQはアルツハイマー病
bYx/7UILは一生童貞

263 :1:02/10/25 04:29 ID:MoaFkrz0


264 ::02/10/25 16:13 ID:589SK39r
4時9時キチガイキタ━━━━(゚∀゚)━━━━ !!!!!

265 :1:02/10/26 05:13 ID:YtAyIrL5


266 ::02/10/26 06:27 ID:9ZNikLjU
4時9時キチガイキタ━━━━(゚∀゚)━━━━ !!!!!

267 :ナナシサソ:02/10/26 06:29 ID:9ZNikLjU
毎日夜9時に起きて朝の5時に寝てるのかな(w
完全な引き篭もりだね。
てゆうか知的障害者かな?( ´,_ゝ`) プッ

268 :1:02/10/26 22:33 ID:DAvKLqCy


269 :ナナシサソ:02/10/27 00:39 ID:95Wx0wzC
>>1は本物の知的障害者っぽいな。
文章を考えることができないらしい。
死んでもいい人間。

270 :ナナシサソ:02/10/27 00:41 ID:PrEHrFC7
>4時9時キチガイキタ━━━━(゚∀゚)━━━━ !!!!!

こんなレス堂々とできるなんて障害者以外ありえないだろ。

271 : :02/10/27 01:09 ID:ZsPk29AN
>>1(キチガイ)の悲惨な1行レス

272 : :02/10/27 06:25 ID:f0kIgu8m


273 : :02/10/27 15:26 ID:GWH7KQ/v
ID:PrEHrFC7=4時9時キチガイ

274 : :02/10/27 15:27 ID:GWH7KQ/v
95Wx0wzCは死んでも地獄に迷惑がかかる価値0の生物

275 :1:02/10/27 21:44 ID:ETbsT2zC


276 : :02/10/27 21:55 ID:GWH7KQ/v
1の偽者4時9時キチガイキタ━━━━━━(゚(゚∀(゚∀゚(゚∀゚)゚∀゚)∀゚)゚)━━━━━━!!!!!!
毎日夜9時に起きて朝の5時に寝てるのかな(w
完全な引き篭もりだね。
てゆうか知的障害者かな?( ´,_ゝ`) プッ

277 : :02/10/28 04:36 ID:zCPZYA4O


278 ::02/10/28 05:49 ID:B4szCDrN
4時9時キチガイキタ━━━━━━(゚(゚∀(゚∀゚(゚∀゚)゚∀゚)∀゚)゚)━━━━━━!!!!!!
毎日夜9時に起きて朝の5時に寝てるのかな(w
完全な引き篭もりだね。
てゆうか知的障害者かな?( ´,_ゝ`) プッ

279 :ナナシサソ:02/10/28 16:14 ID:wFzqvLRs
1です。改心しました。
いま病院に行って来ました。
入院が正式決定しました。
医師に「今日にも入院したほうがいい」と勧められましたが、
準備などがあるので来週の火曜日から入院します。
治療方法があるかどうかさえわからない状態ですが、
まずいろいろと検査を受けてみます。

今日も体中の筋肉がだるくて体の置き場のない状態が続いています。
特に激しい運動をしているわけでもなく、
栄養も何とかそれなりにとれてはいるのに、
体だけが不調で日常生活がきちんと送ることができません。
これも皆さんに迷惑をかけた当然の報いだと痛感いたしております。
誠に申し訳ございませんでした。皆さんにこれ以上ご迷惑をかけないためにももう二度とここには来ません。さようなら。


280 : :02/10/28 16:28 ID:B4szCDrN
>>279

ネタにしてはツマランな

281 : :02/10/28 23:16 ID:PfdIbF2X


282 : :02/10/29 00:44 ID:F1SXa/LK
↓4時〜5時キチガイ

283 : :02/10/29 05:22 ID:IX8bLjMW


284 ::02/10/29 06:55 ID:F1SXa/LK
4時〜5時キチガイ予想通りキタ━━━━(゚∀゚)━━━━ !!!!!
↓次は9時かな?(w


285 : :02/10/29 21:30 ID:Zm15ImLN
↓次は9時かな?(w



286 ::02/10/29 23:13 ID:V77iE9TT
9時キチガイ予想通りキタ━━━━(゚∀゚)━━━━ !!!!!

引くに引けなくなった5時9時キチガイに激藁

287 :ナナシサソ:02/10/30 01:44 ID:QxsZu7n9
情報はこっちにあります
http://tmp.2ch.net/test/read.cgi/download/1035714872/

288 : :02/10/30 04:34 ID:cZY9efrr
↓6時11時キチガイ

289 : :02/10/30 21:28 ID:c5RGoC3x
↓6時11時キチガイ

290 : :02/10/31 04:04 ID:3OfvBXOR
↓6時11時キチガイ

291 : :02/10/31 21:54 ID:6lMehnlU
↓6時11時キチガイ

292 : :02/11/01 03:20 ID:iOfmnPRt
↓6時11時キチガイ

293 : ↓  ↑:02/11/01 05:04 ID:AmTEtDSR
↓   ↑
↓   ↑
↓   ↑
→→→↑
誰もこねーよ(´`c_,'` ) プッ
5時9時キチガイ必死だな( ´,_ゝ`) プッ
1人でやってろよ中卒暇人童貞引き篭もりが(w



294 : :02/11/01 09:08 ID:Je5iug04
293 : ↓  ↑ :02/11/01 05:04 ID:AmTEtDSR

↑5時9時キチガイ

295 : :02/11/01 10:55 ID:AmTEtDSR
Je5iug04は知恵遅れ決定!

296 :ナナシサソ:02/11/01 10:55 ID:AmTEtDSR
288 : :02/10/30 04:34 ID:cZY9efrr
↓6時11時キチガイ


289 : :02/10/30 21:28 ID:c5RGoC3x
↓6時11時キチガイ


290 : :02/10/31 04:04 ID:3OfvBXOR
↓6時11時キチガイ


291 : :02/10/31 21:54 ID:6lMehnlU
↓6時11時キチガイ


292 : :02/11/01 03:20 ID:iOfmnPRt
↓6時11時キチガイ

↑どう見ても頭おかしい(www

297 : :02/11/01 22:57 ID:3zPyLvky
AmTEtDSRは知能障害

298 : :02/11/02 04:17 ID:yFNzbjUj
3zPyLvkyはパクリしか能のない猿真似野郎

299 : :02/11/02 20:32 ID:AACqLE23
yFNzbjUjはワンパターンの低脳

300 : :02/11/03 01:46 ID:cc3DiI5A
ここまで極端に頭の悪い>>1って珍しいね、なんか可愛そう・・・

301 : :02/11/03 06:23 ID:XmSLNk4X
>>300
チンパンジーのあいちゃんだからな

302 : :02/11/03 09:34 ID:LT6hGIRt
cc3DiI5AはIQ17
XmSLNk4Xはゴキブリのゴキちゃん

303 :1:02/11/03 10:20 ID:4w5Ocrtj


304 : :02/11/03 19:40 ID:JgqMDNsj


305 : :02/11/04 05:39 ID:2pt/oBuQ


306 : :02/11/04 19:44 ID:QNtjAvEB


307 : :02/11/05 05:18 ID:zjlHjs/b


308 : :02/11/05 20:36 ID:BHgphzUr


309 : :02/11/06 04:39 ID:xJwzboKx


310 :( ゚Д゚)<うぐぅ ◆YgdKanonKQ :02/11/06 05:18 ID:W8UL+NV4
おうおう、丁寧に4時、20時前後にご苦労さんなぁ。
こちとら、お前さんの無駄な努力に涙がちょちょぎれてくんべぇ。
まぁ、がんばってくんなはれや。

311 : :02/11/06 07:21 ID:VqvgTyI/
きっと、これしか楽しみがない香具師なんだろうね(w

312 : :02/11/06 15:34 ID:piNwnlU2
>>1
死ねよ障害者

313 : :02/11/06 23:44 ID:2z0ceaTX


314 : :02/11/07 00:01 ID:dOEiys/P
>>312
死ねよ障害者


315 : :02/11/07 06:34 ID:G73NuwCE


316 ::02/11/07 07:51 ID:dOEiys/P
お前友達いないんだろうね。いい加減社会復帰したら?(wwww

317 : :02/11/07 22:30 ID:1cRItW02


318 ::02/11/07 23:23 ID:dOEiys/P
お前毎日毎日暇人だね。
きっと友達いないんだろうね。いい加減社会復帰したら?(wwww


319 : :02/11/08 06:44 ID:sVMBiBlH


320 ::02/11/08 06:55 ID:rSBWF9Hl
ぎゃはは
怖くて言い返せないから無言でageるしかないんだね(w
ダサいよ。(´`c_,'` ) プッ

321 :ナナシサソ:02/11/08 08:27 ID:LUnKDZ4Y
障害者と遊んであげるスレはここですか?

322 :ナナシサソ:02/11/08 08:33 ID:4tsefHW1
>>321
ここは>>1が自動保守機能と会話するスレ

323 : :02/11/08 08:58 ID:e0Bkkcbv
>XmSLNk4Xはゴキブリのゴキちゃん

こんな寒くて頭悪そうなレスはじめて見たな

324 : :02/11/08 10:13 ID:VHQPdsCK
e0Bkkcbvは煽るしか楽しみのない一生童貞の引き篭もり無職キチガイ知障宗教信者

325 :ナナシサソ:02/11/08 12:39 ID:h7XCXyov
>>324
自動保守と遊んでろよ障害者(プ

326 :ナナシサソ:02/11/08 12:50 ID:JB7+7z7k
>e0Bkkcbvは煽るしか楽しみのない一生童貞の引き篭もり無職キチガイ知障宗教信者

>>1が知ってる全単語

327 : :02/11/08 21:57 ID:VHQPdsCK
JB7+7z7k
は在日

328 : :02/11/08 21:59 ID:VHQPdsCK
h7XCXyovは平日の昼間からやる事のないホームレス

329 : :02/11/08 22:32 ID:QHT8TjNj
>>322
手動

330 : :02/11/09 05:39 ID:Jh8FxdtL
>>1の全敗で終了!

331 : :02/11/09 07:59 ID:YgsT8IOO
Jh8FxdtLは世の中勝ち負けで判断する低脳

332 : :02/11/09 12:26 ID:8Hk3zYBc
1 名前:  投稿日:02/08/31 20:43 ID:xM70xHt2
大好評に付き第2弾です。
ちなみに前スレは俺の全勝で終了しました。

333 : :02/11/09 13:29 ID:qDuvEYbo
332 : :02/11/09 12:26 ID:8Hk3zYBc
1 名前:  投稿日:02/08/31 20:43 ID:xM70xHt2
大好評に付き第2弾です。
ちなみに前スレは俺の全勝で終了しました。


334 :ナナシサソ:02/11/09 14:04 ID:T+zUMVLD
333 名前: [sage]:02/11/09 13:29 ID:qDuvEYbo
332 : :02/11/09 12:26 ID:8Hk3zYBc
1 名前:  投稿日:02/08/31 20:43 ID:xM70xHt2
大好評に付き第2弾です。
ちなみに前スレは俺の全勝で終了しました。


335 :ナナシサソ:02/11/09 14:26 ID:qDuvEYbo
T+zUMVLDはコピペ猿

336 : :02/11/09 21:19 ID:wKHfQSyF
qDuvEYboは猿山のボス

337 :ナナシサソ:02/11/09 21:27 ID:KXpn0cwQ
wKHfQSyFは俺の彼女(猿)

338 :ナナシサソ:02/11/09 21:41 ID:olbicHhy
突然すいません! MXオンリーのバンド作りました!ぜひ聞いてください聞いてみて糞ならすぐ捨ててください 気に入った方は共有にいれてくださるとうれしいです バンド名はコイモですMP3 2曲あります たくさんのDLおまちしております 失礼しましたー逝きマース

339 :ナナシサソ:02/11/09 23:22 ID:qDuvEYbo
wKHfQSyFは象の糞

340 : :02/11/10 05:53 ID:s7gXZ39m
qDuvEYboの全敗で終了

341 : :02/11/10 09:30 ID:yGGrkqsa
s7gXZ39mは精神異常でドクターストップにより全敗

342 : :02/11/10 21:38 ID:9tCA3Gl5
>>1の全焼で終了

343 : :02/11/11 03:46 ID:csaDytiz
>>1の全勝で9tCA3Gl5の全灰で終了

344 : :02/11/11 15:12 ID:Ze4Ul2s5
>>1はパラリンピックで全勝

345 :ナナシサソ:02/11/11 15:21 ID:/B6/QYub
100 :  :02/09/17 07:01 ID:CyoKOOzf
100ゲット。
よって俺の全勝で終了!!!!

346 : :02/11/11 16:48 ID:X7y7YnyI
「パラリンピックで全勝」
だってよ。(´`c_,'` ) プッ馬鹿じゃねーの?
何それ?ギャグ?ツマンネー。死ねよ。ユーモア0だなw。

347 : :02/11/12 05:35 ID:Ijfq41TD
X7y7YnyIもちっとも面白くないから負けで終了

348 :ナナシサソ:02/11/12 10:43 ID:IUMQ/Ci+
Ijfq41TDは毎日夜9時に起きて朝5時に寝る引き篭もり

349 : :02/11/12 14:29 ID:L09PpyDD
IUMQ/Ci+は毎日このスレをチェックしてる>>1ということで終了!

350 : :02/11/13 05:43 ID:R6vDVplO
>>1は全敗

351 : :02/11/13 08:45 ID:8/7pnY+u
L09PpyDDは毎日2回チェックしてる引き篭もり
R6vDVplOは全敗以下のゴミ

352 : :02/11/13 18:15 ID:OYzZqh8H
>>1
つまんねー煽りだな。そんなのじゃ健常者はお前みたいに必死にならないぞ。
このスレはお前が可愛そうなだけだな( ´,_ゝ`)プッ
障害者は死ねば?

353 :ナナシサソ:02/11/13 18:29 ID:km7IUBIu
>L09PpyDDは毎日2回チェックしてる引き篭もり
>R6vDVplOは全敗以下のゴミ

ワンパターンでボキャブラリーが貧困。頭の悪さ丸出し。
こいつはリアル消防じゃないのか?


354 :ナナシサソ:02/11/13 18:33 ID:8cMBlr52
>>1は本当に知恵遅れとかじゃないのか?

355 :ナナシサソ:02/11/13 18:39 ID:Vw1PCxUL
新作もせ+PV*TV+LIVE情報【part@】
http://tmp.2ch.net/test/read.cgi/download/1035714872/

こっちはまともな人間が立てたので盛り上がってます

356 :ナナシサソ:02/11/13 20:00 ID:490S+TmG
ゴキブリのゴキちゃん

>>1にはこれが面白いのか?いかにも障害者だな

357 : :02/11/14 04:16 ID:UH+lu/K4
>>1の負けで終了

358 :ナナシサソ:02/11/14 16:02 ID:m6ifzTn2
粘厨キチガイに追われて>>1がかわいそう

359 : :02/11/14 17:55 ID:asYAHIVb
m6ifzTn2は引き篭もりのクズ

360 :ナナシサソ:02/11/14 18:38 ID:HDBEr649
ゴキブリのゴキちゃんって…発想が幼稚園児みたい

361 : :02/11/15 03:02 ID:SOgQStOm


362 :ナナシサソ:02/11/15 03:08 ID:ksdkpNmp
m6ifzTn2はいちいちモデムの電源を切って別人を装ってる大根役者

363 :ナナシサソ:02/11/15 12:51 ID:19/6FfH5
>>1はとっくの昔にいない罠

364 : :02/11/16 04:50 ID:+YHjgWaD
そろそろ>>1の負けが確定!

365 :ナナシサソ:02/11/16 05:51 ID:BRB2bxCY
>>355
ピエト炉がまともな人間・・・ (藁

366 : :02/11/16 13:11 ID:b+tzoGBV
>>1も馬鹿だが>>1にかまってもらおうと必死な奴はもっと馬鹿

367 :ナナシサソ:02/11/16 16:15 ID:vMUklkRB
b+tzoGBVはゴキブリのゴキちゃん

368 : :02/11/16 17:30 ID:szxF7xf+
>>1は自作自演も下手だな。頭悪ぅ

369 : :02/11/17 06:03 ID:AXBAB6H9
>>1は全敗

370 :ナナシサソ:02/11/17 10:28 ID:cJaRi5lC
悲惨なかまって君がいるスレ・・・

371 :ナナシサソ:02/11/17 18:43 ID:q+NCE9wZ
>>1の頭の悪さは病的だな

372 :ナナシサソ:02/11/17 22:37 ID:cJaRi5lC
>>1よ、早く言い返せよ、俺毎日、暇なんだからさあ

373 : :02/11/18 05:22 ID:dGvwucFq
悲惨な>>1がいるスレ

374 :ナナシサソ:02/11/18 12:29 ID:FOyL6q0/
>>1 出てこーい、暇だー >>1死ね >>1の負け ほら言い返してみろよ

375 : :02/11/19 04:31 ID:YI8PtbnO
>>1の全敗が確定!

376 : :02/11/20 05:03 ID:k5hNvEHg
>>1の全敗で終了!

377 :ナナシサソ:02/11/20 19:28 ID:+bMBixHq
1は氏んだか

378 :ナナシサソ:02/11/20 22:28 ID:aUzOU2EB
>>1 の負けなんだから出て来いよ。 毎日毎日暇だからさー俺と遊んでくれよ

379 : :02/11/21 03:45 ID:aDqEifLA
>>1は負け犬

380 :ナナシサソ:02/11/21 15:16 ID:WunsQdX7
>>1 のバーカバーカ!悔しかったら反論してみろ!!

381 : :02/11/22 00:58 ID:nTIKd2nf
>>1はゴキブリのゴキちゃん

382 :ナナシサソ:02/11/22 01:38 ID:mN4WUzMx
>>1 いい加減に反論しろ!!!殺すぞ!

383 :ナナシサソ:02/11/22 01:39 ID:mN4WUzMx
>>1はまだかー おーい 早くしろ

384 :ナナシサソ:02/11/22 13:46 ID:mN4WUzMx
今日も1日暇だなー。>>1はまだ来ないの?

385 :ナナシサソ:02/11/22 13:47 ID:mN4WUzMx
>>1死ね
ほれ悔しいだろ?このままじゃお前の負けで終了になっちゃうぞ。

386 :ナナシサソ:02/11/22 16:36 ID:mN4WUzMx
>>1 よーお前がいないとつまんないよ

387 :ナナシサソ:02/11/22 16:37 ID:mN4WUzMx
>>1 何とか言えよ たのむから

388 :ナナシサソ:02/11/22 16:38 ID:mN4WUzMx
このスレの>>1だけが楽しみで生きてるのに

389 :ナナシサソ:02/11/22 16:39 ID:mN4WUzMx
>>1はチョベリバ

390 : :02/11/23 05:04 ID:/gmdrFao
そろそろ>>1の葬式が始まる

391 :ナナシサソ:02/11/23 08:17 ID:dp9z+Pdt
>>1 氏ね知恵遅れ

392 :ナナシサソ:02/11/23 15:27 ID:XoakmFiA
>>1 の母ちゃんでべそ

393 :ナナシサソ:02/11/23 15:31 ID:XoakmFiA
>>1早く出てこーい終了するぞ

394 :ナナシサソ:02/11/23 21:54 ID:XoakmFiA
>>1 マジでもう出てこないの?かなり暇なんだけど。

395 : :02/11/24 06:04 ID:LUEgv/oS
>>1の死亡確定!

396 :ナナシサソ:02/11/24 19:52 ID:p4UywlwH
>>1はまだかよ!今日俺だけ飲み会誘われなくて暇なんだYO!

397 : :02/11/25 04:47 ID:w1wjL+dj
>>1は負け犬で終了!!!

398 :ナナシサソ:02/11/25 06:09 ID:6CZ0XUtN
【ピエト炉鯖】
pietro.dip.jp : 8888
041
備考

100file 10GB




399 : :02/11/25 22:52 ID:WwH9VAAw
>>1の亡霊まだ〜?

400 :1:02/11/26 00:16 ID:3XCq3bcF
400ゲット

401 : :02/11/26 04:11 ID:2XkoSaFJ
>>1の全敗、俺の全勝で終了!

402 :ナナシサソ:02/11/26 04:34 ID:ZtGq3SZD
>>1 知恵遅れは死ね

403 :ナナシサソ:02/11/26 20:16 ID:XIZohOjy
ゴキブリのゴキちゃんまだ〜?

404 :ナナシサソ:02/11/27 04:00 ID:9Xb1P/5D
>>1は怖くなって出て来れなくなったんだろ

405 : :02/11/27 08:50 ID:xQg3V+9E
>>1は精神病院に入院しますた

406 :ナナシサソ:02/11/27 13:01 ID:6K05XjNc
>>1 が来ないと平日の昼間が暇になるな。早く帰ってこーい

407 :ナナシサソ:02/11/27 15:34 ID:6K05XjNc
あー暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ暇だ
>>1出て来い>>1出て来い>>1出て来い>>1出て来い>>1出て来い>>1出て来い>>1出て来い
>>1氏ね>>1氏ね>>1氏ね>>1氏ね>>1氏ね>>1氏ね>>1氏ね>>1氏ね>>1氏ね>>1氏ね>>1氏ね>>1氏ね
>>1の負け>>1の負け>>1の負け>>1の負け>>1の負け>>1の負け>>1の負け>>1の負け
速く戻って来いやぁぁぁぁあぁぁぁぁぁぁぁぁあああああああああ!!!!!!あsfqsふ

408 :ナナシサソ:02/11/27 19:40 ID:6K05XjNc
夜も暇だ・・・

409 : :02/11/28 04:06 ID:3ahKPQ8F
>>1の全敗で終了しますた!!!

410 :ナナシサソ:02/11/28 21:07 ID:KBKTU6M0
大好評に付き第2弾です。
ちなみにこのスレは>>1の全敗で終了しました。

411 : :02/11/29 04:12 ID:t6h/cmZj
>>1は負け犬

412 :ナナシサソ:02/11/29 19:25 ID:SmwSsLh+
>>1まだ〜?

413 :ナナシサソ:02/11/30 04:33 ID:X5cTFCOT
>>1の負けで糸冬了

414 : :02/11/30 18:14 ID:C2nuqJrq
>>1は1勝もできなかった

415 : :02/12/01 04:10 ID:6dJflItd
おいおい、マジで>>1は氏んだのか?

416 : :02/12/02 00:21 ID:clffXYDB
( ´,_ゝ`) プッ

417 :ナナシサソ:02/12/02 05:42 ID:9gaFwIkl
悲惨なスレ…

418 :ナナシサソ:02/12/02 15:02 ID:clffXYDB
ホント悲惨なスレだな、そんなに>>1にかまってもらいたいのか(w

419 :ナナシサソ:02/12/02 21:51 ID:clffXYDB
かなり爆笑させてもらったよ。このスレ

420 : :02/12/03 00:08 ID:DJG/RsmX
悲惨なかまって君がいるスレ・・・

421 :ナナシサソ:02/12/03 02:49 ID:vhnrS72n
>ゴキブリのゴキちゃん

( ´,_ゝ`) プッ

422 :ナナシサソ:02/12/03 04:13 ID:DJG/RsmX
>おいおい、マジで>>1は氏んだのか?

( ´,_ゝ`) プッ

423 :ナナシサソ:02/12/03 06:57 ID:QYRxXqx/
>>1は真似しかできない知恵遅れ

424 :ナナシサソ:02/12/03 15:20 ID:DJG/RsmX
で?>>1はどこいった?

425 :ナナシサソ:02/12/03 21:14 ID:DJG/RsmX
( ´,_ゝ`) プッ
晒しage

426 :ナナシサソ:02/12/03 21:14 ID:DJG/RsmX
( ´,_ゝ`) プッ

427 :ナナシサソ:02/12/03 21:14 ID:DJG/RsmX
( ´,_ゝ`) プッ 

428 :ナナシサソ:02/12/03 21:15 ID:DJG/RsmX
プププ

429 :ナナシサソ:02/12/03 21:15 ID:DJG/RsmX
(  ̄,_√):::プッ

430 :ナナシサソ:02/12/03 21:15 ID:DJG/RsmX
(´゚c_,゚` ) プッ

431 :ナナシサソ:02/12/03 21:15 ID:DJG/RsmX
(´`c_,'` ) プッ

432 :ナナシサソ:02/12/03 21:16 ID:DJG/RsmX
プッ━━━━(゚∀゚)━━━━ !!!!!

433 :ナナシサソ:02/12/03 21:16 ID:DJG/RsmX
(゚Д゚)プッ

434 :ナナシサソ:02/12/03 21:17 ID:FioTSTIy
(|||゚Д゚)!!ブリッ

435 :ナナシサソ:02/12/03 21:22 ID:DJG/RsmX
┌──────────────────────―─┐
│                                    |
│                                    |
│                ∧_∧               |
|                ( ;´∀`)               |
|                人 Y /                |
|               ( ヽ し                 |
|               (_)_)                |
|                                        |
│             Now Bokkiing. ...             |
│                                    |
│                                    |
│         しばらくちんちん勃ててお待ちください。      |
│                                    |
└───────────────────────―┘


436 :ナナシサソ:02/12/03 21:22 ID:DJG/RsmX
┌──────────────────────―─┐
│                                    |
│                                    |
│                ∧_∧               |
|                ( ;´∀`)               |
|               /,   つ                |
|               (_(_, )               |
|                 しし'                |
|                                        |
│             Now Kusoing. ...              |
│                                    |
│                                    |
│       しばらくうんちが出るまでお待ちください。     |
│                                   |
└───────────────────────―┘

437 :ナナシサソ:02/12/03 21:24 ID:04dxt3XM
ID:DJG/RsmX = >>1

438 :ナナシサソ:02/12/03 21:25 ID:DJG/RsmX
     ,,-''lllllllllllllllllllllllllllllllllllllll 、 
     /||||||||||||||||||||||||||||||||||||||ii;、        
   / ̄ ̄\||||||||||||||||||||||||||||||||||||ii;゙ヽ,      
  /       ヽ!!||||||||||||||||  ||||||||||!!,/    
 /        / ゙!!!||||||||||||  |||||||!!  
 \____/     ゙゙ヽ、ll,,‐''''""   

         ______
       /          `ヽ
     /              `、       \   ___|_|」
  / ̄ ̄\              | ヽ      /  |__  |
'" ̄ヽ     ヽ!!           |,," ヘ    <       | |
ヽ          ゙!!!、        ,,-'   iヽ── /      丿 /
|||l            ゙゙ヽ、ll,,‐''''""     | ヽ|||||||||      ヽ/
|||l     ___,,,,,,   ゙l    ,,,,,    \|||||||||      _ 
||!'    /ヽ、 ;::''“”“~`゙>┴<;''“”~` /\ |'" ̄|     | |
\  /  |ミミヽ──‐'"ノ≡- ゙'──''彡| |、 |    |     | |
   ̄|    |ミミミ/"~( ,-、 ,:‐、 ) '彡|| |、/   /      | |
 ヽ、l|    |ミミミ|  |、─\\\\ |彡l| |/  /_     | |
  \/|l    |ミミミ| \_/ ̄\\\\''|l/    ̄/     | |
  \ ノ   l|ミミミ|  \二二\\\\     フ      | |
    ̄\  l|ミミミ|    ̄ ̄ ̄\\\\    \     | |
    | \ ヽ\ミヽ    ̄ ̄"'  \\\\   /    |_|
    /  \ヽ、ヾ''''ヽ、_____//\\\\ /
  /  ヽ ゙ヽ─、──────'/|   \\\\ ̄/
. /       ゙\ \     / / \__\\\\
   ───'''" ̄ ̄ ゙゙̄ヽ、__,,/,-'''"      \\\\


439 :ナナシサソ:02/12/03 21:26 ID:DJG/RsmX
>>437=↓
  r「l l h
  | 、. !j
  ゝ .f         _
  |  |       ,r'⌒  ⌒ヽ、   
  ,」  L_     f ,,r' ̄ ̄ヾ. ヽ. 
 ヾー‐' |     ゞ‐=H:=‐fー)r、) 
  |   じ、     ゙iー'・・ー' i.トソ
  \    \.     l、 r==i ,; |'  
   \   ノリ^ー->==__,..-‐ヘ___
     \  ノ ハヽ  |_/oヽ__/     /\
      \  /    /        /  |.
        y'    /o     O  ,l   
      ,r(( (   ,r─、   ,,、zニ二ィ
    /rO ヾ==、/=ニ~∨∠´   O  ヽ
   /__,,,ィイ叮叮(O) |「叮叮-iト┬ェ─┘
       !シ┴┴ヾ==ノ`┴┴--、ノ-ヽ-、
     <´  _,,,,,,_    ,r┬─-、  ̄`'''",>
      `ー/;;;,, \  ( {  ;;;;;:;;;ヽー''´
       //,',';;  ノ--、>!, ',',;;::',',゙i
       /,',',';;" //_ | ̄| \ ',',',;;,'i
      i 、  / `ー┴┴'´ヽ ',;::'、|
      |   〈         ヽ''  {
      ト,   i          | 、 i
      |',',;;  }          ! ',',;;i
      |,','、 /          ヽ',',','|
      !;;', /            !,',;,;'|
      ゙i',';;;;i            |:::;;;i
       !'' {             }'' !
     /  i,             〉 ヽ、
    彡、,,,-‐┘           └ュュュュ

440 :ナナシサソ:02/12/03 21:27 ID:DJG/RsmX
ああっ、もうダメッ!
ぁあ…ウンチ出るっ、ウンチ出ますうっ!!
ビッ、ブリュッ、ブリュブリュブリュゥゥゥーーーーーッッッ!!!
いやああああっっっ!!見ないで、お願いぃぃぃっっっ!!!
ブジュッ!ジャアアアアーーーーーーッッッ…ブシャッ!
ブババババババアアアアアアッッッッ!!!!
んはああーーーーっっっ!!!ウッ、ウンッ、ウンコォォォッッ!!!
ムリムリイッッ!!ブチュブチュッッ、ミチミチミチィィッッ!!!
おおっ!ウンコッ!!ウッ、ウンッ、ウンコッッ!!!ウンコ見てぇっ ああっ、もうダメッ!!はうあああーーーーっっっ!!!
ブリイッ!ブボッ!ブリブリブリィィィィッッッッ!!!!
いやぁぁっ!あたし、こんなにいっぱいウンチ出してるゥゥッ!
ぶびびびびびびびぃぃぃぃぃぃぃっっっっ!!!!ボトボトボトォォッッ!!!
ぁあ…ウンチ出るっ、ウンチ出ますうっ!!
ビッ、ブリュッ、ブリュブリュブリュゥゥゥーーーーーッッッ!!!
いやああああっっっ!!見ないで、お願いぃぃぃっっっ!!!
ブジュッ!ジャアアアアーーーーーーッッッ…ブシャッ!
ブババババババアアアアアアッッッッ!!!!
んはああーーーーっっっ!!!ウッ、ウンッ、ウンコォォォッッ!!!


441 :ナナシサソ:02/12/03 21:28 ID:DJG/RsmX
    \     毛       /
  腿  \_  |   _/
          彡彡彡
          ミミミミ クリトリス
         ミミミミ / ̄ ̄ ̄ ̄
         ノ σ ヽ 尿道
       / / ゚ヽ ̄ ̄ ̄ ̄
大陰唇 / //\\ \ 
 ̄ ̄ ̄ ̄  ( ( 膣 ) ── 小陰唇
      \ \\// /
         `   \/  '
\         *──肛門
  \_____/\_____/

442 :ナナシサソ:02/12/03 21:28 ID:DJG/RsmX
己 嗚   己 嗚   己 嗚 求 男 強 日   己 嗚 歩 男 色 日
の 呼   の 呼   の 呼 め の  く 本   の  呼 み の 無 本
夢 男   道 男   夢 男 て 夢    男   道  男 て 道  し 男
を 塾    を 塾   を 塾    を 激 児    を 塾 明  を    児
魁      魁      魁    明 ひ し  の   魁    日  ひ 恋 の
よ 男   よ  男    よ 男 日 た く  魂   よ 男 を  た 無 生
   意      意      意 を す    は      意 魁  す し き
   気      気      気 魁 ら 温        気 る  ら    様
                   る に か              に 情 は
                        く                 け
                                         有
                                         り

  ,.-'" ̄ ̄ヽ、 . ,.-'" ̄ ̄ヽ、   ,.-'" ̄ ̄ヽ、  ,.-'" ̄ ̄ヽ、  ,.-'" ̄
 /ヽ____ゝヽ /ヽ____ゝヽ /ヽ____ゝヽ ./ヽ____ゝヽ /ヽ__
 |  } ニ ニ | | |  } ニ ニ | | |  } ニ ニ | | |  } ニ ニ | | .|  } ニ
 ヽ_|  /」  |_ノ .ヽ_|  /」  |_ノ .ヽ_|  /」  |_ノ ヽ._|  /」  |_ノ ヽ_|  /
 ̄ヽ、 -==.,.'" ̄ ̄ヽ、 -==,..'" ̄ ̄ヽ、 -==,..'" ̄ ̄ヽ、 -==,.'" ̄ ̄ヽ、 -=
__ゝヽ /ヽ____ゝヽ ./ヽ____ゝヽ ./ヽ____ゝヽ ./ヽ____ゝヽ ./
. ニ | | |  } ニ ニ | | |  } ニ ニ | | |  } ニ ニ | | |  } ニ ニ | | .|
'」  |_ノ  ヽ_|  /」  |_ノ .ヽ_|  /」  |_ノ .ヽ_|  /」  |_ノ .ヽ_|  /」  |_ノ. ヽ
=‐ /    .ヽ、-==‐ /    ヽ、-==‐ /    ヽ、-==‐ /   .ヽ、-==‐ /
‐‐'〉、     _}ー‐‐‐'〉、.    _}ー‐‐‐'〉、.    _}ー‐‐‐'〉、    _}ー‐‐‐'〉、

443 :ナナシサソ:02/12/03 21:30 ID:DJG/RsmX
    」´ ̄`lー) \
    T¨L |_/⌒/   ← >>1
     `レ ̄`ヽ〈
       |  i__1
     _ゝ_/ ノ
      L__jイ´_ )
        |  イ
         |  ノ--、        ,,;;;;;;;;;;;;、〜
        ゝ、___ノ二7    {;;;;;;;;;;;;;;}〜
         |ーi |   l_/   . '::;;;;;;;;;::' 〜
        __〉 {       ,r''''"~    ""''ヽ
       'ー‐┘       i'           'i  ← >>2-999
                |             'i,
                   !        i'>  }
                ,.`!       ; _ノ
                __,,,... 'i, `'i'''―--―''''i'ニ-'""ノ -- ...,,,__
        _,, -‐ ´      ヽ.i' "'    '''"';  _/´       ` ‐- ,,_
    , ‐ ´           `ゝ_,.i、__ _,;..-'"   ,,..i'"':,        ` ‐ 、
                              |\`、: i'、
 .                             \\`_',..-i
                                \|_,..-┘


444 :ナナシサソ:02/12/03 21:31 ID:DJG/RsmX
2ちゃんねるの文字絵はアスキーアートAAではありません。
2ちゃんねるの文字絵はAAでもないのにAAと
嘘の情報を垂れ流すことは犯罪行為です。

■ 文字絵(テキストアートtext art)の内のアメリカのアートがアスキーアートAA asciiartである。
■ 文字絵(テキストアートtext art)の内の日本のアートがJISアートJapanOriginalityartである。
■ テキストアート(文字絵)のジャンルの中の内のひとつがアスキーアートAAである。
■ テキストアート(文字絵)のジャンルの中の内のひとつがascii picturesである。
■ テキストアート(文字絵)のジャンルの中の内のひとつがJISアートである。
■ テキストアート(文字絵)のジャンルの中の内のひとつが顔文字(フェイスマーク)
■ テキストアートtext artとはすべて(世界の文字絵)の文字絵の総称 → 世界共通名。
   なぜならば文字(text)絵(art)はすべて(必要条件)→text(文字記号)で作られている由縁。
  文字絵(text art)とは それぞれ各々の国の文字(text)環境で作った文字絵(art)のこと。
  だから それぞれの国の文字環境でしか作れないし それぞれの国の文字環境でしか
  正しく見えないのである。
■ 文字(text ←必要条件)で作った絵(art)のことすべてをテキストアート(text art)と言う。
■ なぜならば文字絵(text art)は それぞれ各々の国の文字記号(text)で出来ている由縁である。
■ テキスト(text)とは→ 文書(文字記号の集合体)のことで制御コードを含まない文字記号列。
■ つまり文字絵(世界の文字絵)は それぞれ各々の国の文字環境でしか見えない作れないのです。
■ つまりアスキーアートは我々日本の漢字カナ混じり環境では正しく見えない作れないのである。
■ アスキーアートはwindowsの英語版(アスキー文字)でしか描けないし英語版でしか見えないのです。我々日本人のパソコンは日本語版でありアスキーアート(AA)を作ることも見ることも出来ません。


445 :ナナシサソ:02/12/03 21:32 ID:DJG/RsmX
 lllllll;l|||lll;;;;;|ミ;|;;(》厂 '''''''エー⌒^゙^^リl|uz,,,,,、,i´_アrミ!‐゙¨ミ;》ミ「冖'!「|l;|l;《;ll
 lllll;;;;lll;;;l|;;l;;;l|厂′ , .二y,. .:(v‐  ┐.⌒¨了爻iy,¬rli;hriizy,,,,ア《lミllll
 ll;llll;》;;;|;;l;;⌒|゙‐¬llリlア巛》リミリ(;.,  イ¨゙゙゙^^^ミ厂 .,yv《'_.¨,、 ,ブミ;|ト|;|i|;;
 l|l》lll;;;;;;||リ .} ^' .‐ .、   .′゙″ ノ/、  . .,个 ,,l);l)|《》》ミ《lllレ(>,〔ミ;iミ;l
 llllllll;||》|^|゙.、.},           ¨‐′  .{|彡.´. ,..,,. ,,;.  ^゙'^‐´〔;i;ll;
 lllllll;ll;|ll}′ .゙()、          、^ ´    '〕′   .´厂   .′<ミ《;ll
 llll;lll》レ彡   ` .、  .、、 .、. . -       ゙|!ー        .ヾ..(ミ|ll
 llll;ll;;;ト;リ゙:            ... .,、..-    .ノ>vy,..      . :》「:{lll
 lll;;ll|l;》ミ_、           .ノ厂      .´.┐ .゙¨^冖^.ヾ'冖 .丁|ll
 lllllllll》(《レ            「‐、 _   、 :v  '゙-         .hzllllll
 lllllllllll||l|(`,            ヽ'゙゙'ア>ur‐' ‐_uァ         ._:(|;lll;l;
 llll;l|;;;;l;;|!               ゙ .⌒ .'┘ ′        ,r巛;lllll;ll
 lllllllll;lllll|h-,                           .:ソ(|;;lllllll;ll|
 llllllllllllllllll》;ァ,,., .′    ¬llWiW;;!フ厂)l^''7)(liyyァ   ' .r.,.();;;llllllllllllll
 lllllllllllllllllll;h(「「″       \、、‐.´゙¨゙ ´ :{r厂゙.′   /ー:{;;;;llll;lllllllll
こんな自分で良ければ使いたければ使え、という気分があったんです。
写真はわざとデブって見えるものを送りましたが、それは本当の事を言うと、
「使ってほしく無い」という気持ちもあったのです。

446 :ナナシサソ:02/12/03 21:35 ID:DJG/RsmX
探し人は誰ですか  見つけにくい人ですか?
日本の中も北朝鮮も  探したけれど見つからないのに
まだまだ探す気ですか  それより米をよこしませんか?
米と金を 米と金を  援助したいと思いませんか?
ウフッフー  ウフッフー  ウフッフー  さーあー!

抗う事は許されず  金出すことを迫られて
這いつくばって  這いつくばって  いったい何をしようと言うのか
やっと探し当てた時  死んでることもよくある話で
忘れましょう!  米と金を  援助したいと思いませんか?
ウフッフー  ウフッフー  ウフッフー  さーあー!

探し人は誰ですか  見つけにくいひとですか?
米と金を 米と金を  援助したいと思いませんか?
ウフッフー  ウフッフー  ウフッフー  さーあー!
   ヽ、____ \\       ~\_____ノ|

447 :ナナシサソ:02/12/03 21:37 ID:DJG/RsmX
謝れとは言いませんがこちらもちょっと大人げないのですが
ムカついたので友達の川崎魔夜に頼んで 君の輪姦写真を
撮ってもらうことにしました。あ、もう遅いですよ。
もうすでに友達輪姦始めちゃってますから・・・(^^;
ちなみにこれは自慢じゃないんですがその友達は日本でも
5の指に入るくらい凄腕の腰の持ち主です 。
この前彼の家に遊びに行ったらものの5分で不感症のぞま本を
逝かせていました。
彼にとってそれくらい赤子の腕をひねるくらい簡単なんですよね(爆)
これで君もいっかんの終わりってやつですね(^^;
まあせいぜい後悔してくださいね。
それからもう二度と荒らしはしないこと(その友達は荒らしが大嫌いらしいです。
荒らしを見つけたら即輪姦に入るみたいです(^^;)
それでは、う〜ん二日後くらいかな?また例の所に来てくださいね。
あなたの性感帯その他もろもろのせておきますんで(笑)
あ、警察とかに言ったって無駄ですよ。
あなたは荒らし(犯罪)なんだから通報したところで捕まるのは
アナタです。私の友達は他人の肛門を自在に操ることができるんです。
と、いうことでbye♪(^0^)/~~


448 :ナナシサソ:02/12/03 21:41 ID:DJG/RsmX
勇者  「おいおまいら!! モンスターが現われますた。馬車前に集合しる」
ライアン 「詳細キボンヌ」
勇者  「メタルキングですが何か?」
ライアン 「メタルキングキタ━━━━━━(゚∀゚)━━━━━━ !!!!」
アリーナ 「キタ━━━━━━(゚∀゚)━━━━━━ !!!!」
マーニャ 「ケコーン!」
ライアン 「(;´Д`)ハァハァ」
ブライ  「ハァハァすんなヴォケ」
マーニャ 「オマエモナー」
勇者  「会心の一撃うpキボンヌ」
クリフト  「ザラキage」
ミネア  「聖水うp」
マーニャ 「↑誤爆?」
ブライ  「( ´,_ゝ`)プッ」
クリフト  「ザラキage」
アリーナ 「ザラキ厨uzeeeeeee!!」
魔物  「もうこねえよ! ヽ(`Д´)ノウワァァン!!」
勇者  「--------終了-------- 。・゚・(ノД`)・゚・。」
ミネア  「ヽ(゚ー゚*)ゲンキダシテ」
ピサロ  「イタイ導かれし者たちがいるパーティはここですか?」
アリーナ 「氏ね」
トルネコ 「そんなことより勇者よ、ちょっと聞いてくれよ。戦闘とは関係ないんだけどさ。
      昨日ふとんが吹っ飛んだんです。」

449 :ナナシサソ:02/12/03 21:42 ID:DJG/RsmX
Two hunters are out in the woods when one of them collapses.
He doesn't seem to be breathing and his eyes are glazed.
The other guy whips out his phone and calls the emergency services.
He gasps: "My friend is dead! What can I do?" The operator says:
"Calm down, I can help. First, let's make sure he's dead." There is
a silence, then a shot is heard. Back on the phone, the guy says:
"OK, now what?"


450 :ナナシサソ:02/12/03 21:42 ID:DJG/RsmX
Two hunters are out in the woods when one of them collapses.
He doesn't seem to be breathing and his eyes are glazed.
The other guy whips out his phone and calls the emergency services.
He gasps: "My friend is dead! What can I do?" The operator says:
"Calm down, I can help. First, let's make sure he's dead." There is
a silence, then a shot is heard. Back on the phone, the guy says:
"OK, now what?"Two hunters are out in the woods when one of them collapses.
He doesn't seem to be breathing and his eyes are glazed.
The other guy whips out his phone and calls the emergency services.
He gasps: "My friend is dead! What can I do?" The operator says:
"Calm down, I can help. First, let's make sure he's dead." There is
a silence, then a shot is heard. Back on the phone, the guy says:
"OK, now what?"



451 :ナナシサソ:02/12/03 21:44 ID:DJG/RsmX
┌─────────────────────────┐
│☆★☆★☆★☆―おいらの尻の心の愛 ―★☆★☆★☆★│
│★    ┏━┓┏┳┓      ┏┳━━━┳━┓┏┓    ☆│
│☆    ┣━┫┃┃┣┳━━┛┣━┳┓┣━┛┃┃    ★│
│★    ┗━┛┣╋┛┗┳┓┏┛  ┃┣┛    ┃┃    ☆│
│☆    ┏━━┛┣┓┣┛┃┃┏━┛┃┏━━┛┃    ★│
│★    ┗━━━┛┗┛  ┗┛┗━━┛┗━━━┛    ☆│
│☆      ┏━━━┓┏┓┏┓  ┏━━━┓       .★│
│★      ┗━━┓┣┛┗┫┃  ┃┏━┓┃       .☆│
│☆      ┏━━┛┣┓┃┃┗━┫┃  ┃┃       .★│
│★      ┃┏┓┏┛┃┃┃┏━┫┗━┛┃       .☆│
│☆      ┗┛┗┛  ┗┻┻┛  ┗━━━┛       .★│
│★       ┏┳┓┏┳┓    ┏┳━━┳┳┓         ☆│
│☆       ┃┃┣┛  ┗┳━┛┃ ━ ┃┃┃         ★│
│★       ┃┃┣┓┃┏┻┓┏┫┏┓┃┃┃         ☆│
│★       ┗┫┃┗┫┃  ┃┃┗┛┃┃┃┗┓       ★│
│☆         ┗┛  ┗┛  ┗┛    ┗┻┻━┛       ☆│
│★                             ▼▼▼▼   ★│
│☆    本日 PM 3:00 開演   場所 空地      ・__・    ☆│
│★          来ないやつは糞喰わす    〇     ..★│
│☆                            3     .☆│
│★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★│
└─────────────────────────┘

452 :ナナシサソ:02/12/03 21:46 ID:DJG/RsmX
+=*撮撮盗代代∀∀∀∀∀∀∀∀田代*∀∀∀****∀∀∀∀代田盗撮撮撮∀=
+==盗撮田田代代∀∀∀∀∀∀∀∀代*******∀∀∀∀∀∀盗盗撮撮盗==
+=*盗撮田代代代∀∀∀∀∀***∀**∀***∀代∀∀∀∀代田撮撮撮盗=:
++*田撮盗盗代∀∀∀∀∀∀******∀∀代田田代代代∀∀∀∀盗撮撮撮**
++*田撮盗盗∀∀∀∀∀代∀∀∀∀∀∀∀∀∀盗田田代代田撮撮撮盗田撮撮盗∀∀
+=*田撮盗盗代代撮撮撮撮撮撮代代代∀代代田撮撮撮撮盗撮撮撮撮盗撮撮撮田盗田
+:=*撮撮盗代田代田撮撮盗田田∀∀∀田盗撮∀∀田撮田代代代代田代盗田田撮田
++**田撮撮代田田田田代撮撮撮撮撮盗盗田代田田撮撮撮盗代代盗田撮撮田撮∀∀
++=*田撮撮田盗田∀∀∀∀田∀代撮盗盗撮∀代代代代∀∀代∀代代田盗田田∀∀
++=*∀撮盗盗田代撮撮撮撮撮撮代盗田∀撮田∀∀∀∀∀代∀∀田代代盗田代∀∀
++=*田田盗田代代田撮代∀代∀∀田∀∀田盗∀∀∀∀∀∀代盗田∀田田代代∀∀
++**代田盗田田代田代∀代∀∀田盗∀*∀田撮撮盗田代代盗∀∀代代盗代代∀∀
++**田撮盗代盗∀∀∀∀代∀∀撮∀∀*∀∀田田∀∀∀∀∀∀代代田代代∀∀∀
++**∀代撮撮撮撮代田代代代∀撮代∀*∀∀∀∀∀∀代∀∀∀∀∀代田田代代∀
++==∀∀田盗撮撮撮田∀∀∀∀∀∀∀∀∀∀∀∀**∀∀∀∀∀代代田∀***
++===代田田撮田代∀∀∀∀∀∀∀∀代田撮田代**∀代∀∀∀∀代田*==+
++*=*∀代田撮田代∀∀∀∀∀代撮撮盗撮撮撮代∀∀∀∀∀∀∀∀代田+==+
++=+==田代撮田代∀∀∀代∀∀田田代撮代代代代∀∀∀∀∀∀代代田+=++
++=*=**∀代撮代∀∀∀∀∀∀撮田田盗盗盗盗撮撮∀∀∀代∀代撮田==+:





453 :ナナシサソ:02/12/03 21:46 ID:DJG/RsmX
+=*撮撮盗代代∀∀∀∀∀∀∀∀田代*∀∀∀****∀∀∀∀代田盗撮撮撮∀=
+==盗撮田田代代∀∀∀∀∀∀∀∀代*******∀∀∀∀∀∀盗盗撮撮盗==
+=*盗撮田代代代∀∀∀∀∀***∀**∀***∀代∀∀∀∀代田撮撮撮盗=:
++*田撮盗盗代∀∀∀∀∀∀******∀∀代田田代代代∀∀∀∀盗撮撮撮**
++*田撮盗盗∀∀∀∀∀代∀∀∀∀∀∀∀∀∀盗田田代代田撮撮撮盗田撮撮盗∀∀
+=*田撮盗盗代代撮撮撮撮撮撮代代代∀代代田撮撮撮撮盗撮撮撮撮盗撮撮撮田盗田
+:=*撮撮盗代田代田撮撮盗田田∀∀∀田盗撮∀∀田撮田代代代代田代盗田田撮田
++**田撮撮代田田田田代撮撮撮撮撮盗盗田代田田撮撮撮盗代代盗田撮撮田撮∀∀
++=*田撮撮田盗田∀∀∀∀田∀代撮盗盗撮∀代代代代∀∀代∀代代田盗田田∀∀
++=*∀撮盗盗田代撮撮撮撮撮撮代盗田∀撮田∀∀∀∀∀代∀∀田代代盗田代∀∀
++=*田田盗田代代田撮代∀代∀∀田∀∀田盗∀∀∀∀∀∀代盗田∀田田代代∀∀
++**代田盗田田代田代∀代∀∀田盗∀*∀田撮撮盗田代代盗∀∀代代盗代代∀∀
++**田撮盗代盗∀∀∀∀代∀∀撮∀∀*∀∀田田∀∀∀∀∀∀代代田代代∀∀∀
++**∀代撮撮撮撮代田代代代∀撮代∀*∀∀∀∀∀∀代∀∀∀∀∀代田田代代∀
++==∀∀田盗撮撮撮田∀∀∀∀∀∀∀∀∀∀∀∀**∀∀∀∀∀代代田∀***
++===代田田撮田代∀∀∀∀∀∀∀∀代田撮田代**∀代∀∀∀∀代田*==+
++*=*∀代田撮田代∀∀∀∀∀代撮撮盗撮撮撮代∀∀∀∀∀∀∀∀代田+==+
++=+==田代撮田代∀∀∀代∀∀田田代撮代代代代∀∀∀∀∀∀代代田+=++
++=*=**∀代撮代∀∀∀∀∀∀撮田田盗盗盗盗撮撮∀∀∀代∀代撮田==+:
  

454 :ナナシサソ:02/12/03 21:47 ID:DJG/RsmX
ああっ、もうダメッ!
ぁあ…ウンチ出るっ、ウンチ出ますうっ!!
ビッ、ブリュッ、ブリュブリュブリュゥゥゥーーーーーッッッ!!!
いやああああっっっ!!見ないで、お願いぃぃぃっっっ!!!
ブジュッ!ジャアアアアーーーーーーッッッ…ブシャッ!
ブババババババアアアアアアッッッッ!!!!
んはああーーーーっっっ!!!ウッ、ウンッ、ウンコォォォッッ!!!
ムリムリイッッ!!ブチュブチュッッ、ミチミチミチィィッッ!!!
おおっ!ウンコッ!!ウッ、ウンッ、ウンコッッ!!!ウンコ見てぇっ ああっ、もうダメッ!!はうあああーーーーっっっ!!!
ブリイッ!ブボッ!ブリブリブリィィィィッッッッ!!!!
いやぁぁっ!あたし、こんなにいっぱいウンチ出してるゥゥッ!
ぶびびびびびびびぃぃぃぃぃぃぃっっっっ!!!!ボトボトボトォォッッ!!!
ぁあ…ウンチ出るっ、ウンチ出ますうっ!!
ビッ、ブリュッ、ブリュブリュブリュゥゥゥーーーーーッッッ!!!
いやああああっっっ!!見ないで、お願いぃぃぃっっっ!!!
ブジュッ!ジャアアアアーーーーーーッッッ…ブシャッ!
ブババババババアアアアアアッッッッ!!!!
んはああーーーーっっっ!!!ウッ、ウンッ、ウンコォォォッッ!!!
ムリムリイッッ!!ブチュブチュッッ、ミチミチミチィィッッ!!!
おおっ!ウンコッ!!ウッ、ウンッ、ウンコッッ!!!ウンコ見てぇっ ああっ、もうダメッ!!はうあああーーーーっっっ!!!
ブリイッ!ブボッ!ブリブリブリィィィィッッッッ!!!!
いやぁぁっ!あたし、こんなにいっぱいウンチ出してるゥゥッ!
ぶびびびびびびびぃぃぃぃぃぃぃっっっっ!!!!ボトボトボトォォッッ!!!
ぁあ…ウンチ出るっ、ウンチ出ますうっ!!
ビッ、ブリュッ、ブリュブリュブリュゥゥゥーーーーーッッッ!!!
いやああああっっっ!!見ないで、お願いぃぃぃっっっ!!!
ブジュッ!ジャアアアアーーーーーーッッッ…ブシャッ!
ブババババババアアアアアアッッッッ!!!!
んはああーーーーっっっ!!!ウッ、ウンッ、ウンコォォォッッ


455 :ナナシサソ:02/12/03 21:48 ID:DJG/RsmX
                        ,A、
                      /∧\
            ______//.^.\\______
            i_;,____///─\\_____;,_i
           /;;/;;;;;;;;;;;;;;;;;//-‐~ ̄ ̄~‐-\;;;;;;;;;;;;;;;;;ヽ;;ヽ
        ┌‐´‐´‐ ~//_ -‐~/ ̄二二 ̄\~‐-_ヽヽ~‐`‐`‐┐
    ┌‐ ~ ̄ ヽ~~~~~~~~~──~  ,〜(((((((〜、 ~──~~~~~~~~~/  ̄~ ‐┐
    `ー~~~~~~~ヽ´´´´´´´´´´´. ( __((((((__ )````````````/~~~~~~~-´
          l:::::::::::::::::::l´~~_~~l.|/^^ヽ)/ ^~ヽ|l~~~~~~~~ll::::::::::::::::::l
          l::::::::::::::::::l  ー‐ l(|-(//)-(//)-|) ─‐  ll::::::::::::::::::l
          l  l::::::l  l   ̄ ̄ l::|   ム、  |:l  ̄ ̄ l.l  l:::::l  l
         ,l二.l::::::l二l-‐~ ̄ ̄:::\ |||||| /:: ̄ ̄~‐-l.l二l:::::l二l、
∧ ∧      l;;;;/lトトトトトトトトトトトl__,`l.~~~.l´ヽ- _トトトトトトトトトトl\;;;;l     ∧ ∧
( ゚Д゚)     /三l/三三三 - ̄::::>:: ヽV/:::/::::::::::ヽ 三三三 \l三ヽ    (゚Д゚ )
/  |     ──────l\\:ヽ:::;l´/::::/:::::::::::::,:::::ヽ──────    |  ヽ
___/      /      /::::\\l::::V::/_,:_-‐ ´/:::::l      \      ヽ__)/
二二◎   /       /:::::::::::ヽ-‐:::~ ̄l l    ミヽ:::l        \    ◎二二l
l   l   /        /:::::::::::::::::::::::::::::::::l<-_ ミヽ::l         \   l   l

456 :ナナシサソ:02/12/03 21:49 ID:DJG/RsmX
2ちゃんねるの文字絵はアスキーアートAAではありません。
2ちゃんねるの文字絵はAAでもないのにAAと
嘘の情報を垂れ流すことは犯罪行為です。

■ 文字絵(テキストアートtext art)の内のアメリカのアートがアスキーアートAA asciiartである。
■ 文字絵(テキストアートtext art)の内の日本のアートがJISアートJapanOriginalityartである。
■ テキストアート(文字絵)のジャンルの中の内のひとつがアスキーアートAAである。
■ テキストアート(文字絵)のジャンルの中の内のひとつがascii picturesである。
■ テキストアート(文字絵)のジャンルの中の内のひとつがJISアートである。
■ テキストアート(文字絵)のジャンルの中の内のひとつが顔文字(フェイスマーク)
■ テキストアートtext artとはすべて(世界の文字絵)の文字絵の総称 → 世界共通名。
   なぜならば文字(text)絵(art)はすべて(必要条件)→text(文字記号)で作られている由縁。
  文字絵(text art)とは それぞれ各々の国の文字(text)環境で作った文字絵(art)のこと。
  だから それぞれの国の文字環境でしか作れないし それぞれの国の文字環境でしか
  正しく見えないのである。
■ 文字(text ←必要条件)で作った絵(art)のことすべてをテキストアート(text art)と言う。
■ なぜならば文字絵(text art)は それぞれ各々の国の文字記号(text)で出来ている由縁である。
■ テキスト(text)とは→ 文書(文字記号の集合体)のことで制御コードを含まない文字記号列。
■ つまり文字絵(世界の文字絵)は それぞれ各々の国の文字環境でしか見えない作れないのです。
■ つまりアスキーアートは我々日本の漢字カナ混じり環境では正しく見えない作れないのである。
■ アスキーアートはwindowsの英語版(アスキー文字)でしか描けないし英語版でしか見えないのです。我々日本人のパソコンは日本語版でありアスキーアート(AA)を作ることも見ることも出来ません。

457 :ナナシサソ:02/12/03 21:50 ID:DJG/RsmX
              □△△△△△△△
            ,, △△△△△△△△△△△△
           /△□¶¶¶¶¶¶¶¶ヾ  /¶¶¶¶¶¶¶¶¶△ヽ
         /¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶ヽ;:¶¶¶/"""ヾ¶¶¶¶ヽ
        /¶¶¶¶¶¶¶¶¶¶¶;:;;:≡≡≡l¶¶/;≡≡'  \¶¶¶¶
      /¶¶¶¶¶¶¶¶¶¶¶/≡≡≡≡  ■      ヽ¶¶¶¶
      ¶¶¶¶¶¶¶¶¶¶¶¶¶≡≡≡≡≡≡ ■     ヽ¶¶¶¶¶
      /000◯◯○0000≡≡≡≡ミミ■  ≡  00○○
     /00¶¶¶¶¶ ¶¶ ¶ヽ≡≡≡≡≡≡  ▼ ┏━━:¶¶¶0
     ¶¶¶¶¶¶¶¶¶ ¶¶ ¶/≡≡,,━━━━ミ   /≡__ ヽ¶¶¶
     ¶¶¶¶¶¶¶¶¶ ¶¶ ¶¶≡≡"≡≡≡::: \≡  《(・)〉'-¶¶¶
     ¶¶¶¶¶¶¶¶¶ ¶¶ ¶.≡≡ - '"〈 (・)》 ≡||  ≡   ¶¶¶
     ¶¶¶¶¶¶¶¶ ¶¶ ¶¶|≡≡≡"" ̄   ≡ミ |  ミ   ¶¶¶
      ¶¶¶¶¶¶¶ ¶¶ ¶¶ヽ.≡≡≡ミ    ( ,-、 〉,:‐、   ¶¶¶
      ¶¶¶¶¶¶ ¶¶ ¶¶ヾ..ミミミミミミ            ¶¶¶
      ¶¶¶¶¶¶¶ ¶¶ ¶¶ ミミミミミミミ __,-'ニニニヽ .  ¶¶¶ きさまら
..       ¶¶¶¶¶¶ ¶¶ ¶¶¶、ヽ≡≡≡≡ミミヾ━━ン"  ¶¶¶ 生きて
        ¶¶¶¶¶¶ ¶¶ ¶¶¶ヽ\≡≡≡≡ミ┗┳ ┛ /¶¶¶¶  帰れると思うなよ
        ¶¶¶¶¶¶ ¶¶ ¶¶¶¶ミミ`ー-::、≡≡ミ ■  ,,..¶¶¶¶

458 :ナナシサソ:02/12/03 21:51 ID:DJG/RsmX
 | |     /,'‐':::/::..;/;;/;:r:::l::: \:;;::|::::  .:|⌒)___)            / 砲艦外交を@
r===-、 ̄  /:// :/::../ /| i ヾ   ..i|:  .::|ー'ヾ \         / 警察庁を斬るA
|r―、| |   /:イ:::::i:::/:..::;イ:::./ |. |::..::.|、..::::::| ..:::::::|i 、   \      / 東京藝術大學のB
|;;;;;;;;;|| |  |/ |rー|:/i::/,-|- | |;' l ─|、|::::::||:::::::::::::| |    トゝ   / 小和田は駒井哲郎C
二二ー'      |/-|i  |  | ヽ  ,r‐、\:|'|::::i:::::::|ー`y⌒ヽ|   / 人権は敵だ熊本県庁D
ヾ::;;:::ノ     /::|::::ヽ ,=、     0i  |' |:::::|::::::i-、:|     / 少担空母機動部隊西大E
   ̄     //::/:::i::|    、   ー'   |:::/:::::/ ) l'   /  女が、肉体に一糸(いっし)F
        |'|::;|::イ:::、''''  ー‐   ''''  /;;ノi::;:/イ:|  /   纏(まと)わぬと生まれたままG
         |/i' |r'' i\  ー'   _, イ/::/::/|::;/:| <    姿になっていると、女の裸体H
     |ヽ、__     `  ー _'l    |;/:;ノ |ノヾ|  \   対して、「下品だ」と吐き捨てI
     |   ̄ l  / ̄ ̄  ! /  \__     \  輩に、美を語る資格はないJ
      |   __ | /   ヽ      _     \     \ 新幹線半島史観北海道K
      ,|/ __`) |/  ノ       ̄       |      \ 当時は難民受け入れL
__________ / //`l_| /   /            ,r' ̄ 〕___   \ 反対を主張することM
_______/||  ̄ _/7 /    /        |    / r‐ ' ___)    \ をできる雰囲気はN
三三|彡|\   ') |O)   |   (O)   |  __/ ´ j ̄ト、      \
三三|彡|  Tー'  ゝ    ヾ      ,, ヽ〔 __, -' ー'ノ



459 :ナナシサソ:02/12/03 21:52 ID:DJG/RsmX
 >>25-63>>64-65>>66-72までの原版は、ズレないようにしたつもりだから、
あとは、台詞(セリフ)を>>25-63>>64-65>>66-72の文字にそって、年賀状用
の台詞(セリフ)入れ直せば、ピッタリと合うはずだよ。

 年賀状に合う台詞(セリフ)を入れて、使ってね♪
 年賀状に合う台詞(セリフ)を入れて、使ってね♪

 
 >>25-63>>64-65>>66-72までの原版は、ズレないようにしたつもりだから、
あとは、台詞(セリフ)を>>25-63>>64-65>>66-72の文字にそって、年賀状用
の台詞(セリフ)入れ直せば、ピッタリと合うはずだよ。

 年賀状に合う台詞(セリフ)を入れて、使ってね♪
 年賀状に合う台詞(セリフ)を入れて、使ってね♪



460 :ナナシサソ:02/12/03 21:54 ID:DJG/RsmX
たった今、アパートの天井に向かって「キキのマンコ!キキのマンコ!」と怒鳴ってみました。
反応がありません。
しょうがないので全裸になり、自分の尻を両手でバンバン叩きながら白目をむき
「びっくりするほどユートピア!びっくりするほどユートピア!」
とハイトーンで連呼しながらベットを昇り降りしてみました。
これだけやってもまだ反応がありません。
これを10分程続けると妙な脱力感に襲われ、解脱気分に浸れます。
ヤキソバUFOのカップを舐めつつ「オスでよかった!!オスでよかった!!!」と絶叫。
クローゼットの扉の開け閉めを繰り返ししながら「バーバー、バーバー」と
鳩時計のように首を振りながら言い続けた事がよくある。
この行動に特に意味は無いのだが、自分は実はルンペンではないのかと度々考えることがある.

461 :ナナシサソ:02/12/03 21:58 ID:DJG/RsmX
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[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[

462 :ナナシサソ:02/12/03 22:00 ID:DJG/RsmX
ハモケム。ァメケサナムエ。テミキテヌァネヨ。ノメクヤ。メテ 猴郢、ヌメチハ
モ、ムュ。メティムエ。ヤィ。テテチハヌムハエヤ。メテタメツ羯ハ霽ケテメェ。メ
テハケヘァケ篦コメツテムーコメナ オメチテミ犲ユツコハモケム。ケメツ。テムー
チケオテユ セ.ネ. 2530 ケヘ。ィメ。ィムエ羯。ナメァ眷鯢 ツムァチヘ
コヘモケメィ耆鯡モケム。セムイケメ。メテネヨ。ノメマ 爐オ。メテネヨ。ノメ

オ靨ァ・キユ鞨サ郢ヒケ霽ツテメェ。メテハ霽ケ。ナメァサッヤコムオヤ
ヒケ鰓キユ鞳ケハ霽ケタルチヤタメ、 莇
鯏霽チ。ヤィ。テテチハヌムハエヤ。メテ爼雹。ムケ

コムエケユ・ハモケム。セムイケメ。メテネヨ。ノメマ 爐オ。メテネヨ。ノメ 7
莇鮟ッヤコムオヤ耆鰲。ヤエチヤオヤ耆チ・羯。テミコヌケ。メティムエ
。ヤィ。テテチハヌムハエヤ。メテ 耆鬘ムコ「鰓テメェ。メテ羯ハムァ
。ムエ 箒ツィムエ。ヤィ。テテチヒメテメツ莇鮖モ爰ヤケキユ鞴エ鯡ル陦
テミコヌケ。メテコテヤヒメティムエ。メテキユ霖ユテミ犲ユツコテヘァテムコ 爍
ヤエ、ヌメチェヘコクテテチキユ靉クヤコメツ莇・ナ鯢ケハ隗シナエ鰓ケ、靨、テヘァェ
ユセ。靉耆鰲。ヤエ「ヌムュ眷ミセナムァ羯。メテサッヤコムオヤヒケ鰓キユ
鞳ケハ霽ケテメェ。メテヘツ靨ァツヤ隗


463 :ナナシサソ:02/12/03 22:00 ID:DJG/RsmX
コムエケユ・ハモケム。セムイケメ。メテネヨ。ノメマ 爐オ。メテネヨ。ノメ 7
莇鮟ッヤコムオヤ耆鰲。ヤエチヤオヤ耆チ・羯。テミコヌケ。メティムエ
。ヤィ。テテチハヌムハエヤ。メテ 耆鬘ムコ「鰓テメェ。メテ羯ハムァ
。ムエ 箒ツィムエ。ヤィ。テテチヒメテメツ莇鮖モ爰ヤケキユ鞴エ鯡ル陦
テミコヌケ。メテコテヤヒメティムエ。メテキユ霖ユテミ犲ユツコテヘァテムコ 爍
ヤエ、ヌメチェヘコクテテチキユ靉クヤコメツ莇・ナ鯢ケハ隗シナエ鰓ケ、靨、テヘァェ
ユセ。靉耆鰲。ヤエ「ヌムュ眷ミセナムァ羯。メテサッヤコムオヤヒケ鰓キユ
鞳ケハ霽ケテメェ。メテヘツ靨ァツヤ隗コムエケユ・ハモケム。セムイケメ。メテネヨ。ノメマ 爐オ。メテネヨ。ノメ 7
莇鮟ッヤコムオヤ耆鰲。ヤエチヤオヤ耆チ・羯。テミコヌケ。メティムエ
。ヤィ。テテチハヌムハエヤ。メテ 耆鬘ムコ「鰓テメェ。メテ羯ハムァ
。ムエ 箒ツィムエ。ヤィ。テテチヒメテメツ莇鮖モ爰ヤケキユ鞴エ鯡ル陦
テミコヌケ。メテコテヤヒメティムエ。メテキユ霖ユテミ犲ユツコテヘァテムコ 爍
ヤエ、ヌメチェヘコクテテチキユ靉クヤコメツ莇・ナ鯢ケハ隗シナエ鰓ケ、靨、テヘァェ
ユセ。靉耆鰲。ヤエ「ヌムュ眷ミセナムァ羯。メテサッヤコムオヤヒケ鰓キユ
鞳ケハ霽ケテメェ。メテヘツ靨ァツヤ隗

464 :ナナシサソ:02/12/03 22:04 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})


465 :ナナシサソ:02/12/03 22:04 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
dgさg

466 :ナナシサソ:02/12/03 22:05 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
eat

467 :ナナシサソ:02/12/03 22:05 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeee

468 :ナナシサソ:02/12/03 22:06 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aaetqqqqqqqqq

469 :ナナシサソ:02/12/03 22:06 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
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470 :ナナシサソ:02/12/03 22:08 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeee333333333333333333333333333333333333333

471 :ナナシサソ:02/12/03 22:08 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeee51322222222222222222222222222222222

472 :ナナシサソ:02/12/03 22:08 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeeghaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

473 :ナナシサソ:02/12/03 22:09 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

474 :ナナシサソ:02/12/03 22:09 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhagaga

475 :ナナシサソ:02/12/03 22:10 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhageeeeeee

476 :ナナシサソ:02/12/03 22:10 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh22222222

477 :ナナシサソ:02/12/03 22:10 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhaeetatetat

478 :ナナシサソ:02/12/03 22:12 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhag

479 :ナナシサソ:02/12/03 22:12 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhaggae

480 :ナナシサソ:02/12/03 22:13 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay

481 :ナナシサソ:02/12/03 22:13 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452

482 :ナナシサソ:02/12/03 22:13 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452aet356

483 :ナナシサソ:02/12/03 22:14 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452tate3

484 :ナナシサソ:02/12/03 22:14 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452ageagag4

485 :ナナシサソ:02/12/03 22:15 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg5

486 :ナナシサソ:02/12/03 22:15 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg56

487 :ナナシサソ:02/12/03 22:15 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567

488 :ナナシサソ:02/12/03 22:16 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqg

489 :ナナシサソ:02/12/03 22:16 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr

490 :ナナシサソ:02/12/03 22:18 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafwe

491 :ナナシサソ:02/12/03 22:18 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaegggggggggggggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaa

492 :ナナシサソ:02/12/03 22:19 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

493 :ナナシサソ:02/12/03 22:19 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshawr

494 :ナナシサソ:02/12/03 22:20 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

495 :ナナシサソ:02/12/03 22:20 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

496 :ナナシサソ:02/12/03 22:24 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw2

497 :ナナシサソ:02/12/03 22:24 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \ge{(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw4

498 :ナナシサソ:02/12/03 22:25 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

499 :ナナシサソ:02/12/03 22:26 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

500 :ナナシサソ:02/12/03 22:26 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

501 :ナナシサソ:02/12/03 22:28 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrsh

502 :ナナシサソ:02/12/03 22:28 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhr

503 :ナナシサソ:02/12/03 22:29 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshs

504 :ナナシサソ:02/12/03 22:29 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrw

505 :ナナシサソ:02/12/03 22:30 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhr

506 :ナナシサソ:02/12/03 22:30 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwh

507 :ナナシサソ:02/12/03 22:31 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

508 :ナナシサソ:02/12/03 22:32 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsha

509 :ナナシサソ:02/12/03 22:32 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\fr}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

510 :ナナシサソ:02/12/03 22:32 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhw

511 :ナナシサソ:02/12/03 22:33 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrs

512 :ナナシサソ:02/12/03 22:33 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

513 :ナナシサソ:02/12/03 22:34 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw2

514 :ナナシサソ:02/12/03 22:34 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^p{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw3

515 :ナナシサソ:02/12/03 22:34 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\f{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw4

516 :ナナシサソ:02/12/03 22:35 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}rac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw5

517 :ナナシサソ:02/12/03 22:36 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw6

518 :ナナシサソ:02/12/03 22:36 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensur{(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw7

519 :ナナシサソ:02/12/03 22:36 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\fra{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}}\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw8

520 :ナナシサソ:02/12/03 22:37 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^rac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw9

521 :ナナシサソ:02/12/03 22:38 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwh

522 :ナナシサソ:02/12/03 22:38 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaah

523 :ナナシサソ:02/12/03 22:39 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsha

524 :ナナシサソ:02/12/03 22:39 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

525 :ナナシサソ:02/12/03 22:40 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaegggggggggggggggggggggggggggggggggggggggggg

526 :ナナシサソ:02/12/03 22:40 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsha

527 :ナナシサソ:02/12/03 22:40 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

528 :ナナシサソ:02/12/03 22:41 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrs

529 :ナナシサソ:02/12/03 22:41 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwh

530 :ナナシサソ:02/12/03 22:41 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}eq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

531 :ナナシサソ:02/12/03 22:43 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhh

532 :ナナシサソ:02/12/03 22:44 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhr

533 :ナナシサソ:02/12/03 22:44 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhr

534 :ナナシサソ:02/12/03 22:45 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhr

535 :ナナシサソ:02/12/03 22:45 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaa

536 :ナナシサソ:02/12/03 22:46 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhr

537 :ナナシサソ:02/12/03 22:48 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshs

538 :ナナシサソ:02/12/03 22:48 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaer

539 :ナナシサソ:02/12/03 22:49 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwh

540 :ナナシサソ:02/12/03 22:50 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\fr{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

541 :ナナシサソ:02/12/03 22:50 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhr

542 :ナナシサソ:02/12/03 22:51 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerh

543 :ナナシサソ:02/12/03 22:51 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrs

544 :ナナシサソ:02/12/03 22:52 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1es ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

545 :ナナシサソ:02/12/03 22:56 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

546 :ナナシサソ:02/12/03 22:57 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

547 :ナナシサソ:02/12/03 22:58 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

548 :ナナシサソ:02/12/03 22:59 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshs

549 :ナナシサソ:02/12/03 22:59 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhw

550 :ナナシサソ:02/12/03 23:01 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwah

551 :ナナシサソ:02/12/03 23:01 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrsh

552 :ナナシサソ:02/12/03 23:01 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwh

553 :ナナシサソ:02/12/03 23:02 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrsh

554 :ナナシサソ:02/12/03 23:02 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrh

555 :ナナシサソ:02/12/03 23:03 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrsh

556 :ナナシサソ:02/12/03 23:03 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrw

557 :ナナシサソ:02/12/03 23:04 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrh

558 :ナナシサソ:02/12/03 23:05 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

559 :ナナシサソ:02/12/03 23:07 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsha

560 :ナナシサソ:02/12/03 23:07 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrsh

561 :ナナシサソ:02/12/03 23:08 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsha

562 :ナナシサソ:02/12/03 23:08 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhh

563 :ナナシサソ:02/12/03 23:09 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ es ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

564 :ナナシサソ:02/12/03 23:09 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhr

565 :ナナシサソ:02/12/03 23:11 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

566 :ナナシサソ:02/12/03 23:11 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\fra})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

567 :ナナシサソ:02/12/03 23:12 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahr

568 :ナナシサソ:02/12/03 23:14 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

569 :ナナシサソ:02/12/03 23:15 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

570 :ナナシサソ:02/12/03 23:15 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshs

571 :ナナシサソ:02/12/03 23:16 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrw

572 :ナナシサソ:02/12/03 23:17 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^c{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

573 :ナナシサソ:02/12/03 23:20 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrsh

574 :ナナシサソ:02/12/03 23:21 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}ures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

575 :ナナシサソ:02/12/03 23:22 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

576 :ナナシサソ:02/12/03 23:22 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

577 :ナナシサソ:02/12/03 23:23 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhr

578 :ナナシサソ:02/12/03 23:23 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

579 :ナナシサソ:02/12/03 23:25 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \ge}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

580 :ナナシサソ:02/12/03 23:25 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

581 :ナナシサソ:02/12/03 23:27 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \ge)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

582 :ナナシサソ:02/12/03 23:27 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

583 :ナナシサソ:02/12/03 23:27 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2 \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

584 :ナナシサソ:02/12/03 23:28 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

585 :ナナシサソ:02/12/03 23:28 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaegggggggggggggggggggggggggggggggggggggggaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

586 :ナナシサソ:02/12/03 23:29 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

587 :ナナシサソ:02/12/03 23:33 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

588 :ナナシサソ:02/12/03 23:33 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsha

589 :ナナシサソ:02/12/03 23:34 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

590 :ナナシサソ:02/12/03 23:36 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

591 :ナナシサソ:02/12/03 23:36 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\f{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

592 :ナナシサソ:02/12/03 23:36 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}{(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

593 :ナナシサソ:02/12/03 23:39 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

594 :ナナシサソ:02/12/03 23:40 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

595 :ナナシサソ:02/12/03 23:40 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})rac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} ^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

596 :ナナシサソ:02/12/03 23:41 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

597 :ナナシサソ:02/12/03 23:42 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

598 :ナナシサソ:02/12/03 23:42 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

599 :ナナシサソ:02/12/03 23:43 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

600 :ナナシサソ:02/12/03 23:43 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\f$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

601 :ナナシサソ:02/12/03 23:45 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

602 :ナナシサソ:02/12/03 23:45 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fr{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

603 :ナナシサソ:02/12/03 23:45 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

604 :ナナシサソ:02/12/03 23:45 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

605 :ナナシサソ:02/12/03 23:46 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ esures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

606 :ナナシサソ:02/12/03 23:46 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \ge 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} c{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

607 :ナナシサソ:02/12/03 23:47 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frc{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

608 :ナナシサソ:02/12/03 23:47 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

609 :ナナシサソ:02/12/03 23:47 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

610 :ナナシサソ:02/12/03 23:49 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

611 :ナナシサソ:02/12/03 23:49 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

612 :ナナシサソ:02/12/03 23:50 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$es ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

613 :ナナシサソ:02/12/03 23:50 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ enss ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

614 :ナナシサソ:02/12/03 23:50 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

615 :ナナシサソ:02/12/03 23:52 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

616 :ナナシサソ:02/12/03 23:53 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

617 :ナナシサソ:02/12/03 23:53 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

618 :ナナシサソ:02/12/03 23:54 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrsh

619 :ナナシサソ:02/12/03 23:55 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

620 :ナナシサソ:02/12/03 23:55 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

621 :ナナシサソ:02/12/03 23:57 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

622 :ナナシサソ:02/12/03 23:58 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

623 :ナナシサソ:02/12/03 23:58 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensus ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

624 :ナナシサソ:02/12/03 23:59 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshs

625 :ナナシサソ:02/12/03 23:59 ID:DJG/RsmX
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrh

626 :ナナシサソ:02/12/04 00:00 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

627 :ナナシサソ:02/12/04 00:00 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

628 :ナナシサソ:02/12/04 00:01 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}es ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

629 :ナナシサソ:02/12/04 00:05 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

630 :ナナシサソ:02/12/04 00:05 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

631 :ナナシサソ:02/12/04 00:05 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsha

632 :ナナシサソ:02/12/04 00:08 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

633 :ナナシサソ:02/12/04 00:08 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

634 :ナナシサソ:02/12/04 00:09 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

635 :ナナシサソ:02/12/04 00:10 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhwhrwhrhhrshshaw1

636 :ナナシサソ:02/12/04 00:11 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

637 :ナナシサソ:02/12/04 00:11 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

638 :ナナシサソ:02/12/04 00:11 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

639 :ナナシサソ:02/12/04 00:13 ID:pfLzQlnP



640 :ナナシサソ:02/12/04 00:13 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

641 :ナナシサソ:02/12/04 00:13 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

642 :ナナシサソ:02/12/04 00:15 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r eq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

643 :ナナシサソ:02/12/04 00:15 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

644 :ナナシサソ:02/12/04 00:15 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

645 :ナナシサソ:02/12/04 00:18 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

646 :ナナシサソ:02/12/04 00:19 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

647 :ナナシサソ:02/12/04 00:19 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^fra{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

648 :ナナシサソ:02/12/04 00:22 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

649 :ナナシサソ:02/12/04 00:22 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

650 :ナナシサソ:02/12/04 00:23 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

651 :ナナシサソ:02/12/04 00:32 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

652 :ナナシサソ:02/12/04 00:32 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

653 :ナナシサソ:02/12/04 00:32 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

654 :ナナシサソ:02/12/04 00:35 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

655 :ナナシサソ:02/12/04 00:35 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

656 :ナナシサソ:02/12/04 00:35 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsh

657 :ナナシサソ:02/12/04 00:37 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

658 :ナナシサソ:02/12/04 00:37 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

659 :ナナシサソ:02/12/04 00:37 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geqr}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

660 :ナナシサソ:02/12/04 00:39 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

661 :ナナシサソ:02/12/04 00:39 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshsha

662 :ナナシサソ:02/12/04 00:39 ID:dgTWQMkP
晒しage

663 :ナナシサソ:02/12/04 00:40 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

664 :ナナシサソ:02/12/04 00:42 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

665 :ナナシサソ:02/12/04 00:42 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw

666 :ナナシサソ:02/12/04 00:45 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

667 :ナナシサソ:02/12/04 00:49 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

668 :ナナシサソ:02/12/04 00:51 ID:pfLzQlnP
${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p
\geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}}
B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{
2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}}}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$
ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $
(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$
for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac
{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^
{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\fr
ac{1}{q}}$ ensures ${(A^{\frac{r}{2}} A^pA^{\frac{r}{2}})}^fra\geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})}^frac{1}{q}}$ for $p \geq 0, q \geq 1, r \
geq 0$ with $(1+r)q${(A \geq B \geq 0)}^{\frac{1}{q}}$ ensures ${(A^{\c{r}{2}} A^pA^{\frac{r}{2}})}^frac{1}{q}} \geq {(A^{\frac{r}{2}} B^pA^{\frac{r}{2}})
aeeeeeeeeeeeeeeeeeehaqhreahreahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhayeayeay32452etaegaeggaeg567tgageeqgqgaerrrrrrrrrrrrr
afafweaegeaegeagaeggggggggggggggggggggggggggggggggggggggggggggggggeaaaaaaaaaahaerhrhrwahrwhrwhwhrwhrhhrshshaw1

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FOX ★ DSO(Dynamic Shared Object)