Holly
6ΰ֤ƻ˾ʬ

ȤǡǶν郎ޤäƤ뵤Τϼʬ
Ⱥ󡢡ֽޤǸ50áפȥȥ󤬽ФƤ뺢ˤϴ꤬ƤΤǤ
419ڡ 0:09:59 29717
ޥ
#29717
ߥޥ󡢹ץ˥ߥޤ...m(__)m
轵ϤȤȻפޤ
PowerBook 419ڡ 0:11:35 MAIL:masaru-y@sansu.org HomePage:29719
ʸ
6ΰ֤Ǿʬޤ

5!+2*4!+5*3!+9*2!+9*2!=225
Ȥʤޤ
419ڡ 0:18:21 MAIL:kyorofumi@msn.com HomePage:ʸ29720
Taro
6˷13355225äƤȤǤ礦
ɤ˼οޤ뤫ͤޤ
ϤΤȤκüʳ˳ޤ뤳Ȥˤʤޤ
ϤɤƤ⤤Ǥ

ͤϤȻפ֤ꤹorz

#ְ㤨ƤΤޤ()
419ڡ 0:59:08 29721
Ҥ
üʬޤ







ǣ
ˡꤽǤ͡ʹͤĴ٤Ƥޤޤ
419ڡ 0:20:25 29722
Melvy
ä3 ܤΥ󥯥 (4/19 16:50 ^^;)

ϤȲˡǤν 6 ̤˾ʬĤ 5 3 1 ν֤ޤ
ղΤꤿǤ͡
419ڡ 16:49:51 HomePage:رMelvy29723
missk
#29718#29720ƱͤǤ!ȴ¿ơ4ݤäƤޤޤ
Ͻ񤭤ʤʡ
Ͼγڱࡡ 419ڡ 0:22:39 MAIL:jjyhr530@yahoo.co.jp 29724
Ҥ
#29721ʤۤɡήФǤ
419ڡ 0:24:48 29725
ޥ
#29721ˤTaroβˡꤷƤޤ
PowerBook 419ڡ 0:25:37 MAIL:masaru-y@sansu.org HomePage:29726
㡼ߡ
ξοϷ׻ǤǤΤܳŪʤߤĤ֤⤢Τ
ˡ򤬽פǤ͡

ޤ¤٤Ƽ˶¤٤롤Ȥ鲿٤äƤ 165 ˤʤä
̾ФʤΤǡޤ 1234 ¤٤Ƽ 56 ¤٤롤Ȥ
ФޤɤǥߥΤٸľƤ狼ޤġ
𡡡 419ڡ 0:33:13 MAIL:ojamaru@amber.plala.or.jp 29727
banyanyan
οϤǤ(>_<)
Իԡ 419ڡ 0:35:27 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ29728
sugitakukun
ü6ξ硢4ξ硢2ξȾʬƤޤ

6ξ硧Ĥ5ϤɤäƤ褤Τǡ5!=120̤
4ξ硧Ĥ5Τȣν¤٤Ф褤Τǡ5!/2=60̤
2ξ硧
a) 2٤6ʤСĤ4ĤͳʤΤǡ4!=24̤
b) 2٤4ʤСĤ4Ĥ65νˤʤФ褤Τǡ4!/2=12̤
c) 2٤1ʤС٤6ΤȤ3!̤ꡢ4ΤȤ3!/2̤ʤΤǷ9̤

120+60+24+12+9=225̤ġ

¤ťġ#29721Τ褦ʹͤФƤΤ餷Ȼפޤ^^;
ܣ˻ԣӶ衡 419ڡ 0:37:49 MAIL:sugitakuunikun@msn.com HomePage:White Shadow29731
banyanyan
#29721ϼˤʬ褦ƤäƤ
Իԡ 419ڡ 0:42:44 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ29732
ߤ
ΰ֤ˤޤܤơ줫麸üοܤƾʬ

̤






ƻʾ塢ȤФݤǤʴˡ

419ڡ 0:44:14 29733
missk
ιͤ#29733ȤۤƱǤ
Ǥ⡢ȴ¿ޤǤ4äƤޤޤ
ˤȤäƤ#29731βˡǤ¤˸˻פΤǤ#29721Τ褦˥ץˤʤϤɤнФƤΤǤ礦?
Ͼγڱࡡ 419ڡ 0:48:35 MAIL:jjyhr530@yahoo.co.jp 29734
missk
ιͤ#29733ȤۤƱǤ
Ǥ⡢ȴ¿ޤǤ4äƤޤޤ
ˤȤäƤ#29731βˡǤ¤˸˻פΤǤ#29721Τ褦˥ץˤʤϤɤнФƤΤǤ礦?
Ͼγڱࡡ 419ڡ 0:51:18 MAIL:jjyhr530@yahoo.co.jp 29735
⡼ޥ
ƻˡ^^;v
2,4,6 ¤ǡ

246 δ֤5311*3*5=15
2642*3*5=30
4622*4*5=40
4261*4*5=20
6243*4*5=60
6423*4*5=60
=15+30+40+20+60+60=225

äȥޡȤʲˡϤٶޡ^^v
419ڡ 0:52:56 29736
Taro
#29732
ϼʤƤȤǤʤǤ¤ϡۤɤβ6ΰ֤ʤɤǤ
ʬǥߥ򤷤ޤäƤ뤦ȯޤ
Ȳ򤱤Ƥ餭äȯǤʤäǤ礦()
äȻ䤳ϼԤǤ礦

ޤ򤪤ʸΤ줾οͤޤ
ΰ֤ͤȣκ뤷ޤ(̤)
֤餢ȤοɤޤƤդޤ
Σϡκȣδ֡α뤳Ȥͤޤ(̤)
Σϣ¤٤줾οδ֤üȹͤޤ(̤)
üȤȤȤϣȣʤΤǣαˤϤ礭
Ϥʤʤޤ(̤)
Σϡ¤٤Ĥοδ֤Ӻüüˤޤ(̤)
ǸΣ¤٤Ĥοδ֤ӱüˤޤüˤϤޤ󡣡ʣ̤

ä13355225Ȥޤ

419ڡ 1:05:47 29737
doba
#29721ǽ鲿äƤΤ狼ޤǤ
ʤΤäơ٤ιͤȥ졼ǤƤޤȡ
٤ʬʤȸͤɤʬʤΤʬʤʤΤ
äǤ͡

̣Ǥ͡

ܣ飶ޤǤΣݣĤοξ褦¤٤ƤȤ
üʤ顢餫˾ȿΤǡü϶

ˣޤơϤ褦ʡγޤͤȡ

ξ
ɤ˳ޤƤΤǡξüޤᡢ
ݣ̤γޤ¸ߤ롣
ξ
κˤϣ礭¸ߤʤФʤʤ
üǤꡢʤġܣʾʤΤǡ
üʳʤɤ˳ޤƤ褤Ȥˤʤꡢ
ɣݣ̤γޤ¸ߤ롣

ʾꡢ

Τߤ¤٤ˡ
̤
¤٤ˡ
嵭̤Фޤˡ
Σ̤ʤΤǡ
ߣᣱ̤
¤٤ˡ
嵭̤Фޤˡ
Σ̤ʤΤǡ
ߣᣳ̤
¤٤ˡ
嵭̤Фޤˡ
Σ̤ʤΤǡ
ߣ᣹̤
¤٤ˡ
嵭̤Фޤˡ
Σ̤ʤΤǡ
ߣ45̤
¤٤ˡ
嵭45̤Фޤˡ
Σ̤ʤΤǡ
45ߣ225̤
419ڡ 1:24:29 29738
doba
ΤӤ񤤤Ƥ顢ܿͤν񤭹ߤȤ֤äƤޤޤ(^^;
äʤΤǡΤޤ޻ĤƤޤ͡
419ڡ 1:27:59 29739
banyanyan
#29737,#29738
꤬Ȥޤm(__)m
Իԡ 419ڡ 2:17:50 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ29740
missk
#29737#29738
¤˸Ǥ
ΤˤäȤǤ͡ܤڤȤϤΤȤǤ͡
simple is best!
˿Ԥޤ͡
⤷ƤơäȵŤȤϡ
Ͼγڱࡡ 419ڡ 2:50:05 MAIL:jjyhr530@yahoo.co.jp 29741
⡼ޥ
#29737,#29738
ʤۤɢ
ľŪˤϤʴƤΤ ^^; Ǥäꤷޤ Orzv
419ڡ 8:44:22 29742
ǥ
Ƥ裱̤ȤʤޤȤäƤ⡢Τ˿Ǵäˤ
裱̤ȤˤⲿˤʤʤΤǤ
ˤɤ失ʤΤʺˤŻ٤ߤȤȤ⤢äǴäǴäƵĤ 326
Ǵ궯ȤΤ忴ȤϼȤϼذȰʳ鸫а۾

#29733Τߤ󤵤ƱˡǤƤΤǤפߤΤᲿ󤷤Ƥ 222 ̤
ˤʤ餺ƮĤ㤦ˡǹͤƤߤƤä225 ̤ˤʤޤ
ʽ褿üˡˡȴƤ̤ʬΥѥ󤬤狼Ȥ֤ΰ
ˤƤ#29737 Taro ˡϸǤ͡ٶˤʤޤ
419ڡ 9:31:20 29743
uchinyan
Ϥˤϡơϡ
ǽ򸫤ȤϡݤʤפȻפäΤǤͤƤߤʳ˴ñǤ ^^v
餫ˡü˴ʤ65 Ȥʤ롤ϤﲼǤϤɤˤǤ롤ʤɤʬΤǡ
Ƨޤơ6 5, 4, 3, 2, 1 ΰ֤ƤФ褦Ǥ
ޤ6 򤪤ޤ
5 Ǥ餫 65 ʤΤǡ1 ̤ꡣ
4 Ǥ65 κü6 5 δ֡üΤɤˤǤΤǡ3 ̤ꡣ
3 Ǥüϴ 5 ˤϤʤ餺 4 6 ˤʤäƤΤǡüʳΤɤˤǤơ3 ̤ꡣ
2 Ǥ4 ƱͤˤɤˤǤΤǡ5 ̤ꡣ
Ǹ 1 Ǥ3 Ʊͤ˺üʳΤɤˤǤơ5 ̤ꡣ
ʾǽǤ
äơ1 * 3 * 3 * 5 * 5 = 225 ̤ ˤʤޤ
1 2n ǤƱͤǤ͡
ͥνȡ 419ڡ 12:07:39 MAIL:uchi@sco.bekkoame.ne.jp 29744
uchinyan
ǼĤɤߤޤ

#29717#29720#29724#29733#29734
6 νи֤Ǿʬ񤷤ϤʤȻפޤ빽ݤǤ͡

#29721#29726#29737#29738#29744
6 ˷ƤˡϤꡤñǤ͡

#29722#29731
üǤξʬ⡤񤷤ϤʤȻפޤݤǤ͡

#29723#29736
¤ӤǾʬ褦ʴʡ

#29727
ޤ 1234 ¤٤Ƽ 56 ¤٤롤ȤˡϤʬˤʤΤǤ礦

ʤȤϴطʤǤ
#29706¾
ѥ󥳲ʪγΨꡤɤߤޤ
ΨȤΥŪʾ礬¿Ǥʤۤɡ򤤹ͤǤ͡⡤ΥŪʾαĹǤϲ򤱤ˤʤ
ޤǥ#29710Τ褦άΩƤȳΨ夬ȤΤ򤤤Ǥ
ٶˤʤޤ
ͥνȡ 419ڡ 12:45:50 MAIL:uchi@sco.bekkoame.ne.jp 29745
cocolo
ˤϽƽ񤭹ߤޤ
äȡ˽񤤤Ƥɤťʬ򤷤ϤDz򤤤ΤǤ
#29721ܤڤǤ
ʤޤ
419ڡ 15:21:48 29746
Ȥ
ץ(basic)ǰʲǤ

FOR a=2 TO 6 step 2
for b=1 to 6
IF (mod(b,2)=1 and b>a) OR b=a THEN GOTO 60
for c=1 to 6
IF (mod(c,2)=1 and ((c>a) and (c>b))) OR ((c=b) or (c=a)) THEN GOTO 50
for d=1 to 6
IF (mod(d,2)=1 and ((d>a) and (d>b) and (d>c))) OR ((d=a) OR (d=b) OR (d=c)) THEN GOTO 40
for e=1 to 6
IF (mod(e,2)=1 and ((e>a) and (e>b) and (e>c) and (e>d))) or ((e=a) OR (e=b) OR (e=c) OR (e=d)) THEN GOTO 30
for f=1 to 6
IF (f=a) OR (f=b) OR (f=c) OR (f=d) OR (f=e) THEN GOTO 20
PRINT a;b;c;d;e;f
20 next f
30 next e
40 next d
50 next c
60 next b
70 next a
END
˭ԡ 419ڡ 16:22:07 MAIL:fttnm528@ybb.ne.jp 29747

Ʋ򤤤Ƥߤޤ
ǸƤߤ餫ʴְ㤤ȯ

Ǥ򤬽ФƤޤäΤʴ

#29721
Ϥꤳ줬ʬ䤹ڤɤǤͤ
420ʶ 1:55:15 HomePage:륯Υ֥29748
ϥ饮㡼ƥ
ץǤץߥǶ줷ߤޤ
421ڡ 9:32:03 HomePage:湩ؤ˥29749
⡼ޥ
ͧǤ



Rn1դ1/nǤ
ơR2R3R4..Ȥ̵¸Ĥ1դ1
ñ˽Ťͤ뤳Ȥʤ¤٤ˤϤɤΤ褦
Ф褤
423ʷ 18:52:30 29750
doba
#29750
ޤ񤫤ˤޤ뤫ɤ狼ޤ󤬡
ʴǤ礦

ѥǤʬˤΤǡʲR2,R3ĤR(2),R(3)ĤȽ񤭤ޤ

Ĺդ2/(2^n)ûդ1/(2^n)ĹT(n)
դ1/(2^n)ʤʤR(2^n)ˤS(n)Ȥȡ

դϡĤT(1)ʬ졢
T(1)ϣĤS(1)ʬ졢
S(1)ϣĤT(2)ʬ졢

T(n)ϣĤS(n)ʬ졢
S(n)ϣĤT(n+1)ʬ졢

Ȥ褦ˤơ
դ
ĤĤT(1),S(1),T(2),S(2),,T(n),S(n),
̵ʬ䤹뤳ȤǤޤ

ˡ
T(n)ϡR(2^(2n-1))2^(2n-1)ĤʬǤ
S(n)ϡR(2^(2n))2^(2n)ĤʬǤޤ

ʾꡢդϡ
T(1)ΰR(2)ߣĤˡ
S(1)ΰR(4)ߣĤˡ
T(2)ΰR(8)ߣĤˡ
S(2)ΰR(16)16Ĥˡ

T(n)ΰR(2^(2n-1))2^(2n-1)Ĥˡ
S(n)ΰR(2^(2n))2^(2n)Ĥˡ

Ȥ褦ʬǤ뤳Ȥˤʤޤ

ǡ
ĤR(2)Τ줾˼ޤ褦ˡR(2)R(3)
ĤR(4)Τ줾˼ޤ褦ˡR(4)R(7)
ĤR(8)Τ줾˼ޤ褦ˡR(8)R(16)

2^mĤR(2^m)Τ줾˼ޤ褦ˡR(2^m)R(2^(m+1)-1)

Ȥ褦˽缡֤С
R(2),R(3),ĤȤ̵¸Ĥ
Ťʤʤ褦¤٤뤳ȤǤޤ
423ʷ 23:25:09 29752
⡼ޥ
#29752
doba󡢤Ĥ⥹ޡȤʲ꤬ȤޤOrz
Ʊ̣Ȼפޤͧͤβʲˡ

R2R31ܡ
R4R7ޤǤ2ܡR8R15ޤǤ3ܤȤƤ
󲼤ۤɷ֤Ǥ뤬ȤˤŤʤʤ

褦ϡ
1/2+1/4+1/8=1 ǡ1 ۤʤ
ġ1/2^m+1/(2^m+1)+1/(2^m+2^m-1)<1/2^m*2^m=1 ǡ1 ۤʤäƤȤǤ͡^^v

424ʲС 13:44:54 29753
doba
#29753 ⡼ޥ󤵤
ñ˽Ĥˣʬ򷫤֤ƤФΤǤ͡
ʤǡ虜虜IJߤˣʬ䤷ƤäΤʶСˡ伫ʬ
פߤäơݤǤ͡
424ʲС 15:08:48 29754
⡼ޥ
#29754
dobaء
錄ʤ󤫡1/2+1/3+1/4+ ϡȯ뤫顢ü¤٤Ƥä顢ޤޤꡢĤޤꡢޤäơޤä㤦ʡ̵ʤʤƻפǤޤ^^;
ߤƤʤۤɢǤ^^
ľ¤٤ȯΤˡʬ䤷¤٤Ƥȼ«뤳Ȥ˸ʤơ̵¤äԻ׵ĤǤv
425ʿ 6:36:49 29755
uchinyan
#29750¾
⡼ޥ󤵤ꡤɤߤޤ
ηäǤ
ľ¤٤ȯΤˡʬ䤷¤٤Ƥȼ«뤳Ȥ˸ʤơ̵¤äԻ׵ĤǤv
ȡˤʤäƤΤդĹǤϤʤѤʤΤǡ
S = (1/2)^2 + (1/3)^2 + (1/4)^2 + ...
Ǥ礦ϡƴؿȤäơ
S = (1/2)^2 + (1/3)^2 + (1/4)^2 + ... = (2) - 1 = ^2/6 - 1 < 3.15^2/6 - 1 = 0.65375 < 1
ɾǤΤǡޤ֤ФǤʡȤϤĤޤƼºݡ
(1/2)^2 + (1/3)^2 = 1/4 + 1/9 < 1/4 * 2 = 1/2
(1/4)^2 + (1/5)^2 + (1/6)^2 + (1/7)^2 = 1/16 + 1/25 + 1/36 + 1/49 < 1/16 * 4 = 1/4
(1/8)^2 + (1/9)^2 + (1/10)^2 + (1/11)^2 + (1/12)^2 + (1/13)^2 + (1/14)^2 + (1/15)^2 = 1/64 + 1/81 + 1/100 + 1/121 + 1/144 + 1/169 + 1/196 + 1/225 < 1/64 * 8 = 1/8


S = (1/2)^2 + (1/3)^2 + (1/4)^2 + (1/5)^2 + (1/6)^2 + (1/7)^2 + (1/8)^2 + (1/9)^2 + (1/10)^2 + (1/11)^2 + (1/12)^2 + (1/13)^2 + (1/14)^2 + (1/15)^2
< 1/2 + 1/4 + 1/8 + ... = 1
ʤΤǡɾξ޷ŪɽФ褦Ǥ͡
¾ˤϤꤽǡͤĤʬ䤷鱦ؼФᡤν˼äƤȤ򷫤֤
ԥ󥹥åȤΤ褦ʥե饯ŪʼǽǤ
ͥνȡ 425ʿ 11:15:58 MAIL:uchi@sco.bekkoame.ne.jp 29756
BossF
#29756
"ԥ󥹥ڥå"夦Τޤ
Tokio 425ʿ 13:23:12 MAIL:fv2f-ftk@asahi-net.or.jp HomePage:BossF's Toy Box29757