ޥ
ꥸʥʸͥϤޤʤΤǡʤ԰¤Ǥ...ߥϤʤǤ礦䳧
PowerBook 1026ڡ 0:12:43 MAIL:masaru-y@sansu.org HomePage:28526
㡼ߡ
Ƥʤ򤷤Ƥʤͤ 1 ͡
ʪι׶ۤ 18600 ߤʤФ褤褦˻פΤǤġ
𡡡 1026ڡ 0:13:01 MAIL:ojamaru@amber.plala.or.jp 28527
ޥ
ޤäξˤΤ˽񤯤Τ˺Ƥ.........
PowerBook 1026ڡ 0:14:06 MAIL:masaru-y@sansu.org HomePage:28528
㡼ߡ
2 ब 15 ĤġȤʤΤʡȾ˲ᤷޤ
𡡡 1026ڡ 0:15:45 MAIL:ojamaru@amber.plala.or.jp 28529
إ饯쥹ԡ
ΰ̣򤹤Τˣʬ餤ޤ||
ºݤ˿ѥ񤭽ФƤߤ顢ʤˤ飳ξʤιפ
18,600ߤˤʤꤽʤΤǡʿ͡620ߤƤȤäݤ
ʬФΤʤȻפޤ
ְ¤Τ230ߡμϤʤ
ǺߤĤIJޤ
ŹΥѥ 1026ڡ 0:15:46 HomePage:ɥԥ28530
ڼ
郎­ʤ褦Ǥ

͡ 1026ڡ 0:16:33 MAIL:iida@ae.keio.ac.jp 28531
⡼ޥ
Ωޤ͡
ɤξʤǤȤʤȤƱʤλΩʤ褦ʡ㤦ʡ
1026ڡ 0:16:41 28532
sugitakukun
#28527
ġƱ֤Ȥϡorz

ɤˤ祤ƤʤǤ
Ȥäͤޤġ
1026ڡ 0:18:11 28533
ڼ
ʤι׶ۤϽ񤫤ʤƤ⤤ϤǤ
ĤĥڥȡƱʤˤʤ룱Ȥ롦Ǥ礦
͡ 1026ڡ 0:19:32 MAIL:iida@ae.keio.ac.jp 28534
ޥ
Ȥꤢޤˤֹפ18,600ߡפȤΤϥХå񤫤ƤΤˡHTMLȤ˺Ƥޤޤ...餫ʥå­ǤޤǤm(__)m
PowerBook 1026ڡ 0:20:10 MAIL:masaru-y@sansu.org HomePage:28535
ޥ
#28534
ȡƾʤζۤľɽȤȡ620ߤˤĤоݷ¤֡ȤǤƱȤǤ
PowerBook 1026ڡ 0:21:41 MAIL:masaru-y@sansu.org HomePage:28536
sugitakukun
#28534,#28535
ĤζۤĤΣĤζۤ¤Ȥȡդ

ʣݣ¡ˡܣ
Σܣ¡ᣱ

äơ׶ۤϰդޤ롣

ȥ˽񤭤ޤɲ㤤ޤ͡
1026ڡ 0:23:57 28537
㡼ߡ
оΤǤʤƤ⡤פ 18600 ߤʤפȻפޤ衣
#28537 ƱǤ
𡡡 1026ڡ 0:26:11 MAIL:ojamaru@amber.plala.or.jp 28538
ޥ
#28537
μˤ...äƤȤϡ׶ۤϤʤƤפäꡩ
PowerBook 1026ڡ 0:26:47 MAIL:masaru-y@sansu.org HomePage:28539
إ饯쥹ԡ
Ǥդ15ĤäȤιס

Ĥ15ĤäȤλĶ⡡ݣ
ĤޤꡡĤ15Ĥιס15000ݡʣݣˡ18600ݣ

30Ĥξιסܡ18600ݣˡ18600äƤȤǤ͡

18600˽񤤤ƤȡϢåȥ꡼
ʤߤ뵤ʤǤʤ褦ʵ
ŹΥѥ 1026ڡ 0:27:24 HomePage:ɥԥ28540
ե륳
ʤι׶ۡ
15Ĥι׶ۡ
ݡʣءݣ١ˡܣ
ݣءܣ١
ءᣱ
ʤΤǡߤɽפǤϡ
1026ڡ 0:29:01 MAIL:hiro-w@jttk.zaq.ne.jp 28541
ե륳
ǤĤΤ٤Τǡȥ֤äƤޤޤ<(__)>
1026ڡ 0:30:50 MAIL:hiro-w@jttk.zaq.ne.jp 28542
Ҥ
ޤͤǤϰϤ褦ʡ
1026ڡ 0:31:49 28543
⡼ޥ
x-(15000-y)=3600 顢
x+y=18600 ϼưŪ˽ФƤޤ
áμ顢ɤ15ĤȤ߹碌xˤʤȡΩ뤳Ȥ狼ޤ͡餷ޤOrz
1026ڡ 0:32:00 28544
ܥإߥ
դİΤˤäȸǤޤ
ĤᣱߡĤäĤܣߡ
ʪĤʡᣱߡʿѣߡ㤬ߤ
ǹͤξʤϡʿͣߡܡʿͣߡͣߡˡᣱߡñ˹ͤޤ

⡼Τ褦ˡɤΤ褦ʥѥǼºݤ¸ߤΤϡ򤤤Ƥߤ伫ȳοƤޤ
ٳؤΡؤʸϿذԤˤǤ롢⤪ꤤޤ
1026ڡ 0:32:07 28545
ޥ
28538
ȡ֤ɤΣĤƤפȤ狼顢㤨ĤΥ롼פФʤä롼פ¤Ȥơȣ¤ǤդξʤؤǽäƤȤˤʤΤǡ620ߤˤĤоΡȤƤޤäȸڤޤ
PowerBook 1026ڡ 0:32:13 MAIL:masaru-y@sansu.org HomePage:28546
Ҥ
߰ʾ壸߰ʲȤΤǤϡ
1026ڡ 0:35:05 28547
sugitakukun
Ϥ礤ȡ6080ߡ380ߡ15ġ230ߡ14ġѤ30ĤǸ
줬֤ɤ15Ĥ15000ߤ㤨ơǹͤȤʤ׾ʤΤϤˤǤġ
1026ڡ 0:35:24 28548
ޥ
㤤ͳʬޤɤˤʤ뤫ͤƤޤϥӥ...
PowerBook 1026ڡ 0:37:52 MAIL:masaru-y@sansu.org HomePage:28549
ݤ
ϤϼǼ򤱤ɡ
ʸξΩĤΤǤ礦
äѤ餤ŷ񡡡 1026ڡ 0:38:54 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ28550
Ҥ
Ǥ⤤ۤ㤤
ߤΤۣ߰ʳۤƱ
ʣݣˡࣲ᣶.
ǹۤϣ߰ʾ
Ǥ⤤ۤ⤤
ǹ۰ʳϣ
ξ硢ߣᣳ
Ĥ꤬ߤĶ
¤飱ܤޤǤ¤ϣʾǤʤФʤΤ
ʣݣˡࣱᣲ.
ܤ˰¤ۤϣ
ݣݣߣ᣸
1026ڡ 0:45:43 28551
sugitakukun
#28548
ߤޤ󡢸˴㤤orz
{11626ߡ241ߡ24ġ240ߡ4ġ230ߡѡ
ΩĤʡ
ܣ˻ԣӶ衡 1026ڡ 0:45:55 MAIL:sugitakuunikun@msn.com HomePage:White Shadow28552

㤤ʪˤǤФޤ
1026ڡ 0:48:44 28553
sugitakukun
#28551
ͤϤǤ褵Ǥ
ǹͤΤۤ
(3600-230)14240102404Ĥ24110
ȡǸμν18600ˤʤФʤȤǤ줿Ĥʡ
ܣ˻ԣӶ衡 1026ڡ 0:50:39 MAIL:sugitakuunikun@msn.com HomePage:White Shadow28555
ޥ
ϥӥ...
ꡢȤȤϡ500оμˤơ30Ĥο01000δ֤оݤ¤Ǥϡ15Ĥο0εΥ¤ȡФʤä15Ĥο1000εΥ¤ĤͤפȤȤäΤäǤפϡֵաפΩβݤʬǴְ㤨櫓Ǥ..оΤ¤֤Ȥɬ׾Ȥʤ褦ɲä񤷤ʤ...
PowerBook 1026ڡ 0:51:50 MAIL:masaru-y@sansu.org HomePage:28556
ޥ
äƤ⤽оΤɬפʤä...orz
PowerBook 1026ڡ 0:53:44 MAIL:masaru-y@sansu.org HomePage:28557
⡼ޥ
#28551
ʤۤɡ
ҤΤ˰ɼ
ŪʶۤΤ񤷤Ǥ͡(^^;
1026ڡ 0:56:55 28558
Ҥ
#28555
̤Ǥ
ޤ
1026ڡ 0:57:37 28559
BossF
տޤʬǤ
ɤ⤦ޤʤ褦Ǥ(^^;;

Tokio 1026ڡ 1:00:55 MAIL:fv2f-ftk@asahi-net.or.jp HomePage:BossF's Toy Box28562
ޥ
ޤɤξäƤ.ĤȤˤƹ׶ۤȤ٤Ʊˤʤ롢ȤˤϤʤꤽ⤢ޤ󡣡ʤ⤷СƤйǤ

Ȥ櫓ǡѤ򤵤餷ơʿޤˤƱ褦ʤȤޤˡֽߥˤꡢʤäȤˡפ뤳ȤˤޤԷǼĤˤĤƤϡΤޤޤΥѥɤdzˤޤ줸㤢ʹߤ˸ʤΤǡѥɤϡֽԤɤ㤤Τפ򻯤̣ǡTopڡ˽񤤤ƤȤˤޤʤ̤ˤϿޤ󤬡̤ϤĤޤ԰Ϥʤ...Ȥ褦ȻפäΤǤTopڡΥ󥯤פޤ⤤ä뤫ΤʤΤǡ̤ϤĤˤΤޤޡȤƤޤʤʤѤäƤ졢ȤϤ󤤤Фн褷ޤ

ϡ礭ʡ⤫ʤ٥㤤㤤Τˡ٤ޤǵƤäͤˤѤʤǤ򤪤ޤꤪͤӿ夲ޤˤߤޤǤm(__)m
PowerBook 1026ڡ 1:03:39 MAIL:masaru-y@sansu.org HomePage:28563
Ҥ
㤤ޤäƤ䤬ΤⲿǤ
ϰϤΤΤäƾλͥζȤʬʡȻפΤ
ŪˤϤ꤬Ĥ뤫⤷ʤǤäȻפޤ
1026ڡ 1:03:53 28564

ˤʤäƤȤǤ礦
1026ڡ 1:07:20 28565
BossF
ʤȤդˤϷޤޤ
Tokio 1026ڡ 1:12:57 MAIL:fv2f-ftk@asahi-net.or.jp HomePage:BossF's Toy Box28566
toby
ޥ뤵ͤǤϫΤۤɤޤ
ޤ轵ڤ򤪴ꤤޤ
1026ڡ 1:15:12 28567

λ줬Ԥ󤷤ġ()
1026ڡ 1:20:05 28568
⡼ޥ
#28555
sugitakukunΤǤΩޤ͡(^^)
βȤƤϡ11626 ߤȤȤˤʤΤʡ
ʤ顢᤬񤷤äǤʤꤪ⤷Ȼפޤ
1026ڡ 1:21:49 28569
ݡ
11626äСˤƤ褤ΤǤϡʤۤɳΤŪΤªȻפޤ
1026ڡ 1:27:19 28570
kasama
ͤǤʦġġ˥إءʡǡݡǡ˥ߥߢ
äΤ˻ǰǤ(/_<)ӥ
²λ 1026ڡ 1:27:28 28571
BossF
ȳǧƤޤ󤬡ľŪ
Ǥ⤤ʤʤκǾͤߤʡ
Tokio 1026ڡ 1:28:39 MAIL:fv2f-ftk@asahi-net.or.jp HomePage:BossF's Toy Box28572

ܤʤǯߥФäޤʤǴĥäƤ
ޥ뤵(^^)
1026ڡ 1:28:30 28573
sugitakukun
#28563
о˴ؤƸС֤ɤΣĤǤĤΣĤ򤦤ޤ֤ȹפ򤢤ۤˤǤפʤƤʴǤϤɤǤ礦ʤξ礵620ߤİʾ夢뤳ȤޤǸ뤫ʡ

Ƥʤ櫓ǡ

֤뤪Źˡߤä㤤ʪ˹ԤޤΤŹˤϡĤξʤ¤ǤǤ

椫顢ĤǹȤι׶ۤϡֻĤΣĤäƤλĶפ⣳ߤ¿äǤĴ٤ƤߤȤäȤˣĤξʤΤؤɤΣĤǤ⡢ĤΣĤ꤯٤ФιפۤɤξƱۤˤ뤳ȤǤ٤Ȥʬޤ

ƤξʤΤǤ¤ΤϡߤǤ
ʣ˺Ǥ⤤ΤϤǤ礦
ʣƱʤξʤϾʤȤ⤤ĤǤ礦


ࡢտޤѤäƤ롩
ȤˤʤäƤΤǤ礦

Ȥꤢ񤭻ĤƤޤϳˤǤʤ
ܣ˻ԣӶ衡 1026ڡ 1:33:37 MAIL:sugitakuunikun@msn.com HomePage:White Shadow28574
BossF
#28572 米Ǥ(^^;;
Tokio 1026ڡ 1:33:43 MAIL:fv2f-ftk@asahi-net.or.jp HomePage:BossF's Toy Box28575
sugitakukunν
#28574
ǽ15Ĥ¤ۤ15Ĥä顢
ؤɤΣĤǤ⡢ĤΣĤ꤯٤ФιפۤɤξƱۤˤ뤳ȤǤ
ȤϤʤǤ͡
1026ڡ 1:46:59 28576
sugitakukun
#28576
ǽΣĤϡǤդξפǤϤʤξפʤΤǡ֤ޤޤۤˤʤäפäƤΤĤǤɡ

Ȥǻ̤ˣǤˤΤǤʤϣο̿͡ˡȤΤο͡ˡ⤷̤ο͡곰ˡʥޥ
ܣ˻ԣӶ衡 1026ڡ 1:55:54 MAIL:sugitakuunikun@msn.com HomePage:White Shadow28577
sugitakukunν
#28577
֣θĤ椫ɤΣĤǤ⡢⤦Ĥ򤦤ޤ٤йפ򤢤ۤˤǤ
ʤ顢θĤоΤ¤ǡפʿͤΣܤȸǤġ
ʣ־ϤɤʤǤ礦͡

ǡ֤¾ͤͽۣǣգ١ĤǤϤʤ̿ΣǤ(^^)
ʤ顢Ǥ
1026ڡ 4:33:08 28579
uchinyan
ϤϤ褦ޤѤä褦Ǥ͡

狼龦ʤι׶ۤߤʤΤϤʬΤǡ
ʥ֤ˡʿѣߤоΤ˶֤ۤСդʤȻפޤ
ξκǹۤܡʣݣˡᣱߡǤ͡
Τˡ줬˺ǹ⤫ɤϡӸڤꤽǡ줬ޤʤäȹ⤤ۤǽʤΤǤ礦
ǼĤ򤸤äɤޤĺޤ ^^;

ޥ뤵󡢻⤤ĤߥФäǤޤΤӤޤ礦 ^^/

ʤȻä褦ˤʤäƤ顢ǯ餤ˤʤ뤫ʤоޤä褦˻פΤǡ
⻲äȤȤǡ᡼ä㤤ޤ (^^;
ͥνȡ 1026ڡ 9:03:12 MAIL:uchi@sco.bekkoame.ne.jp 28582
DrK
ϤʸϤϰΤ褦1Ĥ⤤ΤȤȤͤޤ
15ĤιפϺǾξ硢23015=3450ߤȤʤޤ
ξϡĤ15Ĥιפ15000+3600-3450=15150ȤȤˤʤꡢ15Ĥ㤦ȤϤǤޤ
1ñ̤ʤС1Ĥ230ߤˤơ28Ĥ241ߤˤ
230ߤΤ1Ĥ241ߤΤ14Ĥιפ
230+24114=3604ߤȤʤꡢĤ15ĤǤ15000߰˼ޤޤ
⤤ʪʳ29Ĥιפ230+28241=6978ߤȤʤ
⤤Τʤ18600-6978=11622
ꤨΤϤͤˤʤޤ
٤Ͼγڱࡡ 1026ڡ 9:53:41 MAIL:satoka@star.odn.ne.jp 28583
DrK
#28552
4Ĥ240ߤǤ⡢¾241߰ʾˤʤɬפϤʤǤ͡
ʤ11626ߤȤȤˤʤޤ͡
Ȥޤ
٤Ͼγڱࡡ 1026ڡ 10:00:43 MAIL:satoka@star.odn.ne.jp 28584
uchinyan
ǼĤɤߤޤ

#28538
оΤǤʤƤ⡤פ 18600 ߤʤפȻפޤ衣
Ǥ͡15000ߤ㤨뤳ȤɬפǤ

θȡ
#28552
{11626ߡ241ߡ24ġ240ߡ4ġ230ߡѡ
Τˡ줬ΰ̣ǡǹζۤͿ褦Ǥ
ơζۤͿϡ#28551餷ơ
{634ߡ13ġ633ߡ16ġ230}
Τ褦Ǥ

äơǤ
Ǥ⤤ʤϤǤ礦
ϡ 634ߡǹ 11626ߡȻפޤ
ֺǤ⤤ʤʤϺǹǤˤʤǤ礦
ȤС11626 ˤƤ⤤褦ʵޤ

ΰ̣Ǥϡʤʤͤ뤤ǡ#28563
ֽߥˤꡢʤäȤˡפ뤳Ȥˤޤ
ϡäޤäΤǤϤʤʤȤޤޥ뤵 (^^;
ͥνȡ 1026ڡ 11:11:18 MAIL:uchi@sco.bekkoame.ne.jp 28585
ޥ
#28585
> äޤäΤǤϤʤʤ

ȡ֤ʤäȤˡפǡͤʤ饢Ȥ񤭹ߤϤꡢη׻ˡ⤷ƤĤʤΤǤ󤻤ʬͤƤۤʤΤˤʤäƤޤˤʤꡢΤ褦ˤޤ
֤פȤƤε򤷤Ƥ⤽λäͤ⤤ޤΤǡʼºݤ˵ԤƤޤˤǤϰ¿ơ֤ʤäȤˡפޤ

ʤȤϺǽ˥ǥ꤭äƤޤڤºݤοǤ٤ƤΤǤʤȤʴ㤤򤷤ƤޤäƤơɥĥܤˤϤޤäȤݤǤ󡢸ڡʤλ֤Ū­ƤΤǤ뤳Ȥϵ褦⤢ޤ󡣡18,600ߤפǤ뤳Ȥ񤭤魯줿ȤФꡢ­ˤ뼫ΤʤϪ褷Ƥޤ
iMac 1026ڡ 11:53:11 MAIL:masaru-y@sansu.org HomePage:28586

ۤηбĤŹˤϣĤξʤޤ
ʤʤϰְ¤ʤ飱ߤĹ⤯ʤäƤǤ
ۤϲˤʤΤǣĤξʤ飱ĤξʤǽʤꡢޤƱȤ߹碌ʤ褦ӽФƾʤ¤ιפ׻ƤߤޤäȤˡ(|||)
ߤʤƤȤǤʤۤˤʤäƤޤޤʤΤʤǰʤ⤤ΤϲߤǤ礦
1026ڡ 17:15:45 28588

ֹ餻狼ʤorz
1026ڡ 17:25:34 28589

Τ㤤μǿޤ󤬡äγΨΤȤǤĤ󤬤ޤ
ФǣͤϻΤƱӤξ硢ͥԤޤξ磱ͤϻΤϢзꤷޤǤABCΣͤΤǽɶ˾夬ΤABȤABͥΨϤ줾5/14,CγΨ4/14ˤʤΤϤɤƤͶƱȤ롣
ɤʤ
1026ڡ 19:52:51 MAIL:sokuratets2001@yahoo.co.jp 28590

Τ㤤μǿޤ󤬡äγΨΤȤǤĤ󤬤ޤ
ФǣͤϻΤƱӤξ硢ͥԤޤξ磱ͤϻΤϢзꤷޤǤABCΣͤΤǽɶ˾夬ΤABȤABͥΨϤ줾5/14,CγΨ4/14ˤʤΤϤɤƤͶƱȤ롣
ɤʤ
1026ڡ 19:53:57 MAIL:sokuratets2001@yahoo.co.jp 28591

ФȤƤϡ

ͤϻΤ򤽤줾ϺϺϺȤɶ˾ͤϺȼϺȤ롣
ΤȤ⤷ǼϺ餱Ƥ⡢ϺлϺǻϺĤȡǼϺϻϺ˾Ƥͥ뤳Ȥ롣
ϺǡǤǤ˾äƤϺ餱ϺͥꤷƤޤᡢϺȰä餱ʤ

ʤȤǤ͡ġΤäƤ餹ޤ
ȳΨη׻νФ˺ޤ
1026ڡ 21:05:59 28592
sugitakukun
#28590
ľȤΤ
ܤˣܤ
ܤˣ¤ϣáμˣܤϢ롣
ˡã£Ⱦ
ˡ£ã£ãȾ
ˡã£ã£Ⱦ
ʰʲά
Ǥޤ
βܤξǣͥΨȤΤϡ줾쾡̤ꤷʤΤǡ(1/2)^NǤޤ
ȡͥΨ
(1/2)^2+(1/2)^4+(1/2)^5+(1/2)^7+
={(1/2)^2+(1/2)^4)}{1+(1/2)^3+(1/2)^6+}
¤
=(5/16)*(8/7)=5/14

¤ξϣƱͤʤΤǡ5/14

äξΨ;ݤȤäơ1-(5/14)*2=4/14ǤΤǤȡ
ǽϤɤ餬äƤ褯ϣáˣܤä
ˡáãäȾġʡϣ¤ǡϣ¤Ǥʤ
ˡááãäȾ

ȤȤǡξϣβܤͥȤξԤˤäƣ̤ꤺĤξ礬ޤ
äơ
2*(1/2)^3+2*(1/2)^6+
=(1/2)^2{(1+(1/2)^3+(1/2)^6+}
=(1/4)*(8/7)
=2/7=4/14

Ȥʤޤ
ܣ˻ԣӶ衡 1026ڡ 21:58:10 MAIL:sugitakuunikun@msn.com HomePage:White Shadow28593
uchinyan
#28590
̩ˤϡsugitakukun#28593ΤȤǤľŪˤϡΤ褦˹ͤ⤢ޤ

A ͥΨ p ȤA ǾäͥΨ q Ȥޤ
ȡA ͥǽΤϡΣ̤Ǥ
狼Ϣ롣
γΨϡ1/2 * 1/2
Ǿäܤ餱뤬θܤ꤬餱ơξԤȤ襤˾ġ
ξ硢θͥϡ˾äƱˤʤΤǡΨϡ1/2 * 1/2 * 1/2 * 1/2 * q ˤʤޤ
餱뤬θ꤬餱ơξԤȤ襤˾ġ
ξ⡢θͥϡ˾äƱˤʤΤǡΨϡ1/2 * 1/2 * 1/2 * q ˤʤޤǡ
p = 1/2 * 1/2 + 1/2 * 1/2 * 1/2 * 1/2 * q + 1/2 * 1/2 * 1/2 * q
ˡۤɤκǽȣܤξ礫顢򾡤äǡ
q = 1/2 + 1/2 * 1/2 * 1/2 * q
Ǥ򤤤ơ
q = 4/7, p = 5/14
ĤޤꡢA ͥΨ 5/14 ˤʤޤо顢B ͥΨƱ 5/14 Ǥ
C ͥΨϡA, B ͥʤΨƱʤΤǡ1 - 5/14 - 5/14 = 4/14 ˤʤޤ

βˡϡ¤ȴޤ
ϡºݤˤϾ餬䡹³ǽ⤢ꡢΨͤ˼«뤫ΤǤϤʤǤ
줬ݾڤƤСOKǤ

«⼨ƤsugitakukunβˡͥƤȻפޤ
ͥνȡ 1026ڡ 23:48:39 MAIL:uchi@sco.bekkoame.ne.jp 28594
uchinyan
#28588
39ߤǤ礦
ͥνȡ 1026ڡ 23:45:02 MAIL:uchi@sco.bekkoame.ne.jp 28595

39ߤǤ礦
ucinyanǤ(^^)

⤷ʤäǤ礦͡orz orz orz

1027ʶ 0:48:30 28598
ma-mu-ta
#28588
39ߤˤʤޤ
30Ĥι = (57005688600/30C15)*2 = 735
(A+B)*30/2 = 735 ꡢA+B = 49դꡢA-B = 29
äơA = 39B =10äơʤ⤤Τϡ39ߡ
ǤΤɤ
1027ʶ 1:47:00 28599

39ߤˤʤޤ
30Ĥι = (57005688600/30C15)*2 = 735
(A+B)*30/2 = 735 ꡢA+B = 49դꡢA-B = 29
äơA = 39B =10äơʤ⤤Τϡ39ߡ
ǤΤɤ

ma-mu-taǤ ͤ⤢äƤȻפޤ(^^)
1027ʶ 2:21:53 28600

ֹ梫äƤġϤɤΤ狼ʤ
1027ʶ 2:24:27 28601

äƤʤorz
1027ʶ 2:31:20 28602
ma-mu-ta
#28601
ɤʬʤΤǤ
#⤽θεֹȾѤϤȤ褦Ǥ
1027ʶ 2:40:09 28603

#28603
1027ʶ 3:07:22 28604

#28603 ۤȤǤޤ(^^)

ƤƤ꤬ȤޤäǤ͡줬orz
1027ʶ 3:11:31 28605

˲򤪴󤻤߽ܺsugitakukunȥͥνȤuchinyan˴դޤܤ餦ǤǤ⤳ΥȤˤ轵0:00ޤǸؤ˻ɴ᡼ȥΥȤ褦ˡ񤫤Ȥ󤻤ޤ褯ޤ轵ʤҤͤᤤͤǤ120sec˲򤤤Ƥޤ򴬤ƤޤΤʤǽ軻Ūˡä˿޷ˤ󼨤ˤƬ򲼤ʤޤषؤĹͤˤϡưФޤ
ؤ­ĤޤǸ᤮ޤƼϤ
1027ʶ 8:40:22 MAIL:sokurates2001@yahho.co.jp 28606
uchinyan
#28606
󡥡
Ǥϡ#28594μ«˴ؤơ̩ΤȤä­褦ȻפäƤޤƤޤ礦 ^^
ͥνȡ 1027ʶ 11:06:09 MAIL:uchi@sco.bekkoame.ne.jp 28607
uchinyan
#28598
䤪⤷ʤäǤ礦͡orz orz orz
ʤȤϤޤ衣׻Ѥä
ˡ񤤤Ƥȡ

Ǥ¤ʤߤȤȡ30ĤξʤʤϡܣܣǤ
Τ15ĤäƤ­ΤǤ¤ŪĴ٤Ƥߤȡ
ϡ30C15 * 15
ϡ줾졢29C14 Ĥ
ˤʤäƤޤ¤ϡ
30C15 * 15 * 29C14 * (1 + 2 + ... + 29)
ˤʤޤ줬57005688600 Τǡ
= (57005688600 - 29C14 * (1 + 2 + ... + 29))/(30C15 * 15)
򡢴ñˤʤ뤳Ȥ򿮤Ʒ׻ȡºݤˤ򤿤 (^^;
= 10
äȤǤ ^^/
ǡʤ⤤Τϡ10 + 29 = 39ߡˤʤޤ

֤ˡɤǤ礦Ȥ륵ȤǸΤǤˤ⻻餷꤫ʤȻפޤ
βˤäꤷơ


Ф⤯Υϣ⤭ޤޤФ⤯֤ϣ⤭ޤ
夬ˣ⤤Ƥ顢ФɤȡФɤĤޤǤ˲⤭ޤ
ͥνȡ 1027ʶ 11:58:57 MAIL:uchi@sco.bekkoame.ne.jp 28608
Ф⤯֤tȤ
140+2t=3t*5/4
t=80
3t=240
1027ʶ 13:00:01 28609
⡼ޥ
#28608

Ф⤯Υϣ⤭ޤޤФ⤯֤ϣ⤭ޤ
夬ˣ⤤Ƥ顢ФɤȡФɤĤޤǤ˲⤭ޤ

Фǽ夬ɤĤޤǤ⤤ x Ȥȡ
(140*4/5+x)/(1/3)=(x*5/4)/(1/2)ФɤĤޤǤλ=夬ɤĤޤǤλ
x=128
140*4/5+128=112+128=240
1027ʶ 13:33:49 28610
⡼ޥ
ߤʤ󤪤⤷¸ΤǤ͡(^^)ǡޤޤؾ褷ơ
錄ζꡦͧǤ


1nޤǰۤʤֹΤĤnĤΥܡ򡢶̤ΤĤʤ3ĤȢʶȢäƤ褤ΤȤ˾硢Dz̤ꤢ뤫

1027ʶ 13:42:06 28611
ma-mu-ta
#28608
ιͻˤ뻻ˡǤ(ϡС Ȥޤ)
1/41/554֤ 32
®(֤߰) (53)(42)158
夬˿ʤƻΤ 4140560
ФɤĤޤǤλ 560(158)80
ФɤĤޤǤ 380240()

1027ʶ 14:47:53 28612

īۤλ񤤤ơ˼ʤȤ񤤤ƤäΤǾǰǤ
1027ʶ 14:53:18 28613
uchinyan
#28611
դ򴪰㤤ƤǽΤǤ(3^(n-1) + 1)/2 ʡ
ͥνȡ 1027ʶ 15:26:46 MAIL:uchi@sco.bekkoame.ne.jp 28614
uchinyan
#28609, #28610, #28612
꤬Ȥޤ󡢳Ǥ
ȤʸȤдñʤΤǡ䤬ԤΤϡma-mu-ta#28612Τ褦ʻˡǤ
ʤβˡϡ®ޤǤƱǤȾ㴳äƤޤ

®椬 158 ʤΤǡФ⤤ΥȤδ֤夬⤤Υ 158 ˤʤꡢ夬˿ʤΥ 15 - 8 = 7 γˤʤޤ
ǡ 1 γ礬 140/7 = 20 ˤʤꡢФοʤΥϡ 20 * 15 = 300 ˤʤޤ
ǡФľȡ300 * 4/5 = 240 Ǥ

#28606ΤȽ⤢äΤǡޤˤϤ餷⤤ʤȻפäƽꤷƤߤޤ
äƻȤǤϡ (^^;
ͥνȡ 1027ʶ 15:25:14 MAIL:uchi@sco.bekkoame.ne.jp 28615
⡼ޥ
#28614
uchinyan
ˡ򡦡
Ȣ̤3^n̤ǡ
nĤȤ1Ȣ˽椹Τ3̤ꡡA
2ĤȢ˽椹Τ3C2*(2^n-2)B
ȢʤΤ3^n-A-BC
Ȣζ̤A3ŤˡBC3!Ť˿뤫
A/3+(B+C)/3!=(3^(n-1)+1)/2

϶(^^;

#28612
ma-mu-taβˡٶˤʤޤ
ɡä񤷡(^^;
1027ʶ 15:58:51 MAIL:crazy_tombo@yahoo.co.jp 28616
uchinyan
#28616
äƤơ褫ä (^^;Ǥ
ο a(n) Ȥޤ
Ȣ϶̤ʤΤǡ¤٤ơȢˤϡ˱¦ˤ褦˥ܡƤޤ
κݡܡֹ 1 ֤ƤȹͤƤ褯ǽʣϤʤȤʬޤ
(Ȣ֤ߥǤȢ˺ǽܡֹǡ롼פ̤ꤷޤ
㤨С138,257,46 ϲǽʰդʬۤǡؤ 138,46,257 Ȥäʬۤϡ
2 Ȥ˿˶ȢǤƤޤΤǡޤ)
ơֹ n ΥܡȤϡֹ n-1 Υܡ줿ξ֤ǡ
ܡ뤬Ȣ˽椷Ƥϡ2 ̤ꡣ
ʳ a(n-1) - 1 ̤ΥѥФƤϡ 3 ̤ꤺĤΤǡ3 * (a(n-1) - 1) ̤ꡣ
äơ
a(n) = 2 + 3 * (a(n-1) - 1) = 3 * a(n-1) - 1
a(1) = 1 Ǥ
Ϥ򤤤ơa(n) = (3^(n-1) + 1)/2 ˤʤޤ
ͥνȡ 1027ʶ 18:17:09 MAIL:uchi@sco.bekkoame.ne.jp 28617
ʤ
ܡʬ
ܡ뤬ġȢοǤաȤȤޤҤȤĤΥץ꤬Ǥޤ͡
a(1)=1, a(2)=2, a(3)=5 ޤǤϡ a(n) = (3^(n-1) + 1)/2ȰǤ
a(4)=15, a(5)=52, ȤʤäƤޤ
̾ĤƤƤ褵ʿǤ
̹񡡡 1028ڡ 0:09:32 MAIL:naka@sansu.org HomePage:naka's Home Page28618

ꡡפĹˤûˤŤʤȤλ֤򤹤٤Ƶʤ
1028ڡ 8:07:57 28619
uchinyan
#28618

ܡäƤȢο k ξο b(k,n) Ȥa(n) 򤽤ιפȤȡ
b(1,n) = b(1,n-1) = ... = b(1,1) = 1
b(2,n) = b(1,n-1) + 2 * b(2,n-1)
b(3,n) = b(2,n-1) + 3 * b(3,n-1)
...
b(k,n) = b(k-1,n-1) + k * b(k,n-1)
...
b(1,1) = 1, b(k,1) = 0 for 2 <= k
a(n) = b(1,n) + b(2,n) + ... + b(k,n) + ...
k ͭ¤ǻߤС㤨С3 ޤǤȤ#28611ʤɤˤʤޤ
ʤο󥵥Ȥˤϡid:A000110 Ǥޤ
A000110Bell or exponential numbers: ways of placing n labeled balls into n indistinguishable boxes
http://www.research.att.com/~njas/sequences/A000110
ˤȡ̾Ϥ褦Ǥ͡
ͥνȡ 1028ڡ 12:34:56 MAIL:uchi@sco.bekkoame.ne.jp 28620
uchinyan
#28619
ФäƤƤⲿʤΤǡܺ٤¾ˤǤޤ720/11 ʬݥȤǤ礦
ͥνȡ 1028ڡ 12:38:35 MAIL:uchi@sco.bekkoame.ne.jp 28621
⡼ޥ
#28619
Ʊ360/(360/60-30/60)=720/11
(720/11)*n<=60*24
n<=22
1028ڡ 14:10:31 28622

ҥȡĹˡᣱϣáûˡᣱϣäǤ
1028ڡ 15:31:58 28623

˺ƤޤÿޤǵƾϻͼθɽƤ
1028ڡ 15:35:05 28624
⡼ޥ
#28624
׻Ƥߤޤ(^^)
720/11=65+5/11=15ʬ+5*60/11=1ʻ:5ʬ:27á (3/11)
=2:10:55
=3:16:22
=4:21:49
=5:27:16
=6:32:43
=7:38:51
=8:43:38
=9:49:5
=10:54:33
=12:00:00 ʥ㥹ȥߡȡˤʤΤǡ

Ȥϡλ֤ 12 ֤­Τ롣
65+5/11=60+60/11 ʤΤǡ11ޤä顢1־äƤޤǤ͡
1028ڡ 18:17:25 28625

⡼ޥ󤵤󤪸ȸȤǤȣ㤤ޤΤƤߤƤ
1029 8:59:52 28626
⡼ޥ
#28625
ޤ
6:32:44
7:38:11
ǡʡ(^^)
1029 12:24:13 28627
ʤ
#286201, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644437,,

٥Ǥ
Ǥˤʤä褦ʵޤ
̹񡡡 1029 21:16:23 MAIL:naka@sansu.org HomePage:naka's Home Page28628
ޥ
⣳̤餳μޤ

2^329 10ΰ̤οϤĤ

ʤɤ򤭤ޤǤ礦3̤ۤɲˡͤơɤ줬ϲʤΤä¤äƤΤǤ..ʤ⤷ɤϲǤϤʤΤ
PowerBook 1030ʷ 12:59:49 MAIL:masaru-y@sansu.org HomePage:28629

#28629
ΰ̤飱ΰ̤ȣΰ̤طƤΤǡΰ̤ȣΰ̤Ȥꤢ񤭽ФƤߤ롣ǣǤƤΤǡʹߤΣΰ̤ȣΰ̤ϣ飲Σΰ̤ȣΰ̤Ʊˤʤ롣Ĥǽ۴ĤΤǣᣲʣܣߣܣˤѷ롣
۴ĤΣܤ飱ʥ󥻥󥹤ʤ꤫Ǥ͡()
1030ʷ 17:13:45 28630
⡼ޥ
#28629
2^10=1024
(2^10)^2=2^20,(2^20)^2=2^40,(2^40)^2=2^80,(2^80)^2=2^160,(2^160)^2=2^320
24^2=76^2=76^2=η׻βΤߤɽƤ
2^329=2^320*2^9=76*12=12Ʊ
ɲϡ12 ʤΤǡ10ηϡ1
ŪǤ褦Ǥ

2褷ƤƱˤʤΤϡ01,25,76 Τ褦Ǥ͡
2褷 76 ˤʤΤϡ24,74
2褷 24 ˤʤΤϡ18,68,32,82
2褷 74 ˤʤΤϡʤ
Ĥޤꡢ
32=2^5
2^329=(((2^5)^2)^2)^(2^4)*2^9=76*16=12
Ȥ¤Τ褦Ǥ͡
1030ʷ 20:14:47 28631
uchinyan
#28629
äǤ괺⻰ĻפĤޤ

(ˡ1)
ۤβˡȡͤϡۤƱȻפޤ
mod 100 ǹͤޤʲ=פ mod 100 Ȥޤ
2^10 = 1024 = 24, 2^20 = (24)^2 = (2 * 12)^2 = 4 * 144 = 576 = 76, 2^22 = 2^20 * 2^2 = 76 * 4 = 304 = 4
2^329 = 2^(22 * 14 + 21) = (2^22)^14 * 2^21 = 4^14 * 2^21 = 2^28 * 2^21 = 2^44 * 2^5
= (2^22)^2 * 2^5 = 4^2 * 2^5 = 2^4 * 2^5 = 2^9 = 512 = 12
ʤΤǡ1

(ˡ2)
mod 10 ͤޤʲ=פ mod 10 Ȥޤ
2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 6, 2^5 = 2, ... ʲ֤
ʤΤǡ
2^329 = 2
ǡ2^8 = 256 = 6, 6^n = 6 դơ
(2^329 - 2)/10 = (2^328 - 1)/5 = ((2^8)^41 - 1)/5 = (2^8 - 1)((2^8)^40 + (2^8)^39 + ... + 2^8 + 1)/5
= 255/5 * ((2^8)^40 + (2^8)^39 + ... + 2^8 + 1) = 51 * (6^40 + 6^39 + ... + 6 + 1)
= 1 * (6 * 40 + 1) = 1
ʤΤǡ1

(ˡ3)
mod 100 mod 25 mod 4 ʬ䤷ƹͤޤ
2^329 = (2^20)^16 * 2^9
ǡեޡξγĥΥ顼ꡢդ򥪥顼ؿȤơ(25) = 20 ʤΤǡ2^20 = 1 (mod 25) Ȥʤꡢ
2^329 = 2^9 = 512 = 12 (mod 25)
ޤ
2^329 = 0 (mod 4)
Ĥޤꡢ2^329 = 25n + 12 = 100k + 12 ʤΤǡ1

ʳˤ⤢Τ⤷ޤ
⡼ޥ󤵤#28632 76^2 = 76 (mod 100) ϡ򤤤Ǥ͡¤Ϥϡ(ˡ3)طʤˤȻפޤ
ޥ뤵βˡϡɤʤΤǤ
ɤ줬ּʲˡʤΤϡ褯ʬޤ󤬡ƻʤΤϡ⡼ޥ󤵤ήޤơ(ˡ1)Ǥ礦
(ˡ2)ⰭʤȻפޤ
(ˡ3)ϡΤޤޤǤϡ顼㳲⡣⡼ޥ󤵤ήΥ󥸤⤷ޤ
ͥνȡ 1030ʷ 23:24:31 MAIL:uchi@sco.bekkoame.ne.jp 28633
Ҷ˥ޥ
Ҥ֤򤷤ޤ
1030ʷ 21:58:56 28634

νΰ̤ȡΰ̤Ϥ줾줤ĤǤ礦
1030ʷ 22:45:53 28635
uchinyan
#28635
01
ͥνȡ 1030ʷ 23:35:20 MAIL:uchi@sco.bekkoame.ne.jp 28636
ʤ
ۤΡܤƻ˷׻ܤǣ롢˰ɼ

¾ˡ˰̣ŤˡȤơ
^ βʣˤȤ롣ʣˤϣܿǤ롣
οθĿˤϸ¤꤬ΤǣʣˤϽ۴Ĥ롣
۴ĤμȤȡʣˡᣲܣʣ
裴ߡʣܣˡᣱܣʣ
ʣˤϣܣģܿʤΤǣ¾ʤʤ
ʣˤĴ٤ơʣˡ᣷ǥӥ󥴡
ᣲǤä
äơʣˡʣˡᣱ
̹񡡡 1030ʷ 23:49:15 MAIL:naka@sansu.org HomePage:naka's Home Page28637

#28636
uchinyanǤ(^^)
1030ʷ 23:50:40 28638

#28637
꤬Ȥޤ(^^)
ۤʤΤǡ줷ˡפӤޤǤ orz orz orz
1031ʲС 0:04:28 28639
ޥ
Τո꤬Ȥޤ

ι̤ͤβˡϰʲ̤Ǥ

ʲˡmod 100ˤƱDz׻
ʲˡ˲ν۴ĤͤƲ롣
ʲˡ
Ǥ뤳ȤʣȽ۴ĤΤǴñѤơ
(2^329-2)/10
=(2^328-1)/5
=(4^164-1)/5
=(16^82-1)/5
=(16-1)(16^81+16^80+16+1)/5
=3 (16^81+16^80+16+1)

βͤɤΤǡ
3 x (1+681) 3 x 7 1 (mod 10)

ʴǤ虜虜֣ΰ̡פƤΤǡʲˡˤͤΤǤʲˡˤΤۤ饯Ǥ...
iMac 1031ʲС 8:09:14 MAIL:masaru-y@sansu.org HomePage:28640
⡼ޥ

0=(00)<(11)<(22)<(33)<(1111)<(44)<(1010)<(55)<(66)<(99)<(88)<(77)<180
οϡ

äפĤǤ
111ʿ 23:13:11 MAIL:crazy_tombo@yahoo.co.jp 28641
ݤ
٤ߤʤ
ޤ󡣤⤦ͤ޼
äѤ餤ŷ񡡡 111ʿ 23:23:46 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ28642