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¡ ‚±‚̃XƒŒƒbƒh‚͉ߋŽƒƒO‘qŒÉ‚ÉŠi”[‚³‚ê‚Ä‚¢‚Ü‚·

‰~Žü—¦

1 F‚P‚R‚Ql–Ú‚Ì‘f”‚³‚ñF2006/11/03(‹à) 23:15:57
—]Œ·’藝‚©‚琳‚ŽŠpŒ`(’PˆÊ‰~‚É‹ß‚­‚È‚é‚悤‚É‚µ‚Ä)‚ōl‚¦‚Ä
‚Žã2|2cos(360/n)=2X
@@@X=‰~Žü—¦‚̋ߎ—’l@@‚Á‚Ä‚È‚è‚Ü‚¹‚ñ‚©H
•¶Í‰ºŽè‚ȃoƒJ‚Å‚·‚¢‚Ü‚¹‚ñc

2 F‚P‚R‚Ql–Ú‚Ì‘f”‚³‚ñF2006/11/03(‹à) 23:17:24
ƒtƒ@ƒ~ƒ|ƒe‚¤‚ß‚¦

3 FiElƒÄ‚à‚Ý‚à‚Ý ŸMomi/T3ouE F2006/11/03(‹à) 23:18:37
‘ʃXƒŒ•ÛŽç

4 F‚P‚R‚Ql–Ú‚Ì‘f”‚³‚ñF2006/11/03(‹à) 23:27:45
—ǃXƒŒ•ÛŽç

5 F‚P‚R‚Ql–Ú‚Ì‘f”‚³‚ñF2006/11/03(‹à) 23:32:17
•³ƒXƒŒ•ÛŽç

6 F‚P‚R‚Ql–Ú‚Ì‘f”‚³‚ñF2006/11/04(“y) 01:01:58
³2‚ÌnæŠpŒ`‚Å‚â‚é‚Æ”¼Šp‚ÌŒöŽ®‚ª‚‚©‚¦‚Ä•Ö—˜

7 FKingOfUniverse Ÿ667la1PjK2 F2006/11/04(“y) 13:37:23
iElƒÄ‚à‚Ý‚à‚Ý
@@@ª
@ƒ‚ƒAƒC

8 F‚P‚R‚Ql–Ú‚Ì‘f”‚³‚ñF2006/11/04(“y) 13:46:37
‚Å‚à—ݏ捪‚ðŒvŽZ‚·‚é•K—v‚ª‚ ‚鎮‚­‚ç‚¢‚È‚çA
‚®‚ꂲ‚è[•‚ç‚¢‚Õ‚É‚Á‚‚̌öŽ®‚Ì•û‚ª‚Í‚é‚©‚Ƀ}ƒVB


9 F‚P‚R‚Ql–Ú‚Ì‘f”‚³‚ñF2006/11/04(“y) 15:23:12
ƒÎ‚ÌŒvŽZ

ƒÎ = 3 + 4‡”[k=1,‡) {(-1)^(k-1)}/{2k(2k+1)(2k+2)},

ƒÎ = 6¥arctan(1/ã3) = 2(ã3) ‡”[k=0,‡) {(-1/3)^k} /(2k+1),@@@@@@Sharp(c.a.1717)

ƒÎ = ‡”[k=0,‡) {4/(8k+1) -2/(8k+4) -1/(8k+5) -1/(8k+6)}¥(1/2)^(4k),@@@BPP

ƒÎ = ‡”[k=0,‡) {4/(8k+2) +2/(8k+3) +2/(8k+4) -0.5/(8k+7)}¥(1/2)^(4k),@@BPP

ƒÎ = (1/64)‡”[n=0,‡) (-1)^n¥{-32/(4n+1) -1/(4n+3) +256/(10n+1) -64/(10n+3) -4/(10n+5)
-4/(10n+7) +1/(10n+9)}¥(1/2)^(10n),

ƒÎ = 72¥S_1 -96¥S_2 +24¥S_4,@S_k = ‡”[n=1,‡) 1/{n(exp(knƒÎ)-1)}.@@@Plouffe(2006)

‚¤[‚ށA’x‚¢....

http://mathworld.wolfram.com/PiFormulas.html

10 F‚P‚R‚Ql–Ú‚Ì‘f”‚³‚ñF2006/11/04(“y) 15:24:24
1/ƒÎ ‚ÌŒvŽZ

1/ƒÎ = (1/16)‡”[n=0,‡) C[2n,n]^3¥(42n+5)¥(1/2)^(12n),@@@@@Ramanujan

1/ƒÎ = {1/(882¥4)}‡”[n=0,‡) (-1)^n¥(1123+21460n)¥{(4n)!/(n!)^4} {1/(882¥16)}^(2n),

1/ƒÎ = {(ã8)/(99^2)}‡”[n=0,‡) (1103+26390n) {(4n)!/(n!)^4}¥(1/396)^(4n),

1/ƒÎ = {12/(640320^(3/2))}‡”[n=0,‡) (-1)^n¥(13591409+545140134n){(6n)!/[(n!)^3¥(3n)!]} (1/640320)^(3n),

‚¤[‚ށA’x‚¢....

http://mathworld.wolfram.com/PiFormulas.html

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¡ ‚±‚̃XƒŒƒbƒh‚͉ߋŽƒƒO‘qŒÉ‚ÉŠi”[‚³‚ê‚Ä‚¢‚Ü‚·

šƒXƒ}ƒz”Łš ŒfŽ¦”Â‚É–ß‚é ‘S•” ‘O100 ŽŸ100 ÅV50

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