ޥ
ʤ˴ñä...orz

ꤷˡ...ۤɡ
iMac 28ڡ 0:02:11 MAIL:masaru-y@sansu.org HomePage:29295
㡼ߡ
2 头Ȥ˶ڤäƲäΤ 99 ܿΤȤ
ȤܿȽˡѤޤ
𡡡 28ڡ 0:06:46 MAIL:ojamaru@amber.plala.or.jp 29296
ߤ
¤⣳ܿȤ߹碌ϣ̤Ǥ͡
礭dzΤ᤿飱ȯܤǥҥåȡ

ܿθʬϤɤʤΤǤä

ɵ
ܿʤƣܿäȤȤϣ̤ꤷͤʤ
櫓ϤääƤ

28ڡ 0:35:29 29298
̽ʬ
ܿȽ꤫顢ܥᣰʣ䣹
ܿȽ꤫顢ᥤʣ䣱
Ԥ饢ᥤ
Ԥ饢ᥤ᣹
28ڡ 0:10:45 29300
Holly
142857ä99ܿäǤ͡
142857ᥢ000000ᥢ(mod 99) Dz򤭤ޤ

ɵ:1428577999999ä 򤯤ȤǷ׻㤤ޤ^^:
28ڡ 0:24:13 29301
DrK
#29296#29297ƱǤ
ʳˡפĤޤ
٤ϾγڱΤϤ 28ڡ 0:11:07 MAIL:satoka@star.odn.ne.jp 29302
Taro
#29296ƱǤ
100,10000,100000099dzäޤϤɤ1Ǥ뤳ȤѤޤ
28ڡ 0:11:27 29303
̽ʬ
ġˣФƤ顢
ȣˤߤޤ

Ǥ͡
28ڡ 0:11:52 29304
DrK
Ϥñä褦Ǥ͡3ʬ33äǤۤɽ̤ʤơ٤̿Ǥ͡
٤ϾγڱΤϤ 28ڡ 0:12:55 MAIL:satoka@star.odn.ne.jp 29305
ޥ
99ܿȽˡפäƥ᥸㡼äΤ...

֣ܿפġ֣ܿפǤȤݤǡ#29296ȽˡѤȽֻȤˤ褦ȤΤǤ...ߥޥϴˤϤޤ
Ωľֽ˻ƤơȴäΤϻ¤Ǥ...m(__)m
iMac 28ڡ 0:12:59 MAIL:masaru-y@sansu.org HomePage:29306

ܿģܿǹͤȤ߹碌ˤʤޤ
ִ1/7Ƭˤ褮ޤϴطʤΤǤ礦
褽40٤餤 28ڡ 0:13:09 29307
Ѥ
ȣܿθʬȤäƲ򤭤ޤ
֡ 28ڡ 0:13:56 HomePage:ʥڡ29308
ݤ
򤷤Ƥʬä
Ȥǡ꽸ޤ
ɤääĺסߡǡ¤Ǥ硣
ߤhttp://www21.ocn.ne.jp/~hopes/hon.htmޤǡԤ
äѤ餤ŷ񡡡 28ڡ 0:14:02 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ29309
Shin Koba
¤ȶ¤ȤκܿǤ͡
28ڡ 0:15:13 29310
missk
黲äǤ
äʹΤĩ路Ƥߤޤä񤷤ʤȻפäƿȹΤǤñǤ褫äǤ
轵ñäǡ
Τ褦ʽ鿴ԤˤϴñʤۤǤ
٤ϾγڱΤϤ 28ڡ 0:17:04 MAIL:jjyhr530@yahoo.co.jp 29311
ǥ
ߤ󤵤μ䡦ʶܤΰ̤ο¡-ʴܤΰ̤ο¡
ܿǤФȤο⣱ܿ
28ڡ 0:17:20 29312

󥭥󥰤Ϥ䤯
28ڡ 0:21:10 29313

󥭥󥰤Ϥ䤯
28ڡ 0:21:29 29314
⡼ޥ
ߤʤƱ911ܿˤʤΤͤޤ
99ܿθʬƤߤСǤ͡Orz
28ڡ 0:22:44 29315

29sᤤǤ͡׻ɤĤޤ
28ڡ 0:24:00 29316
Taro
Τ2003ǯˡΤ褦꤬ޤ
65ABC15999ܿȤʤȤ3ABCʤ
28ڡ 0:25:58 29317
sugitakukun
#29306
餯˳ݤ줿ͤǤޤ
ȣܿȽΤäƤޤϡġ

äϤκʤǤ礦^^;
ܣ˻ԣӶ衡 28ڡ 0:25:54 MAIL:sugitakuunikun@msn.com HomePage:White Shadow29318
㡼ߡ
#29317
Ǥ (ܺ٤ϳФƤޤ)
Ϥ꤬ä 99,999, ܿȽˡΤޤ
𡡡 28ڡ 0:29:17 MAIL:ojamaru@amber.plala.or.jp 29321

844
28ڡ 0:32:18 29322
sugitakukun
äޤ

Taro󡢥󥭥̻PtsǤȤޤ
ޤ裱Ǥ顢줫礦ɣǤ͡

ޣ󡦣̣ȤȤǡˣ᤯TOPäƤ뤳Ȥˤʤޤ
줫ĥäƤ^^
ܣ˻ԣӶ衡 28ڡ 0:34:39 MAIL:sugitakuunikun@msn.com HomePage:White Shadow29323
ʸ
٤ޤ

ä911ܿȽǡ
99ȽΤʤä䡰
28ڡ 0:35:36 MAIL:kyorofumi@msn.com HomePage:ʸ29324
DrK
8Ǥ0,0ȤϤꤨޤ͡
9,9ʤ0,0⤢뤫ʤȤդȻפäΤǤƬηǤΤǤꤨޤ͡
Ͼγڱࡡ 28ڡ 0:40:23 MAIL:satoka@star.odn.ne.jp 29325
ѥ
Ʊ99ܿȽΤޤ
ɤǤ(
28ڡ 0:40:55 29326
DrK
ȤȤϡ14285799dzڤȤȤǤ͡ޤ99999999dz뤷7dzäǤΤǡ99ȤǤϻĤäƤޤ͡
ܤǤФäᤫäǤ͡
Ͼγڱࡡ 28ڡ 0:42:15 MAIL:satoka@star.odn.ne.jp 29327

14285799dzäΤ򡢣οabcdefȤabcdef00-abcdef142857ˤʤ褦碌ޤĤޤŪ˲򤭤ޤ֤äƤޤޤ
28ڡ 0:46:43 29328

14285799dzäΤ򡢣οabcdefȤabcdef00-abcdef142857ˤʤ褦碌ޤĤޤŪ˲򤭤ޤ֤äƤޤޤ
28ڡ 0:47:40 29329
ʸ
Фϡ
28ڡ 1:01:46 29330
ߤ
#29310#29312
ܿθʬפФޤ
󤢤꤬Ȥޤ
28ڡ 1:02:47 29331
sinoza
11ܿθʬ狼ޤޤͤޤ
28ڡ 6:57:59 29332
ϥ饮㡼ƥ
Ϥ褦ޤ
ץǤ
28ڡ 7:05:04 HomePage:湩ؤĩ29333
BossF
+9n
|(8+)-(19+)|=11m Ǥ

14285799dzڤ뤫ɤͤäȴñäˤ
Tokio 28ڡ 9:09:26 MAIL:fv2f-ftk@asahi-net.or.jp HomePage:BossF's Toy Box29334

פ֤ǡ^^)/ʤΤǤФ餯ƤޤǤϣdzΤǣǤȤȤˤĤޤdzϤ٤Ƥη⣳dzޤ狼äƤפϣʤΤǥȥ¤ܿˤʤФΤǡ̤Ĵ٤ޤֺǸˤʤäƤޤޤʥˡ
28ڡ 10:02:21 29335
uchinyan
Ϥˤϡơϡ
԰ʬ褦ˡϤפ褦Ǥ͡
ΤˡܿΥåλϤ褯ΤƤΤǡΤäƤдñǤ礦
ΤʤȤ⡤ǰ9 * 10 = 90 ̤ꤷǽʤΤǡåΤԲǽǤϤʤǤ礦
ơβˡǤ¿ʬƱȤϻפޤ

(ˡ1)
99 = 9 * 11 ʤΤǡ9 ܿ 11 ܿȹͤޤ
9 ܿϡ
1 = 110 = 9 + 1100 = 90 + 10 = 99 + 11000 = 990 + 10 = 999 + 110000 = 9990 + 10 = 9999 + 1
ʤΤǡƷο¤ 9 ܿǤ뤳Ȥɬ׽ʬǤǡ
+ 1 + 4 + 2 + 8 + 5 + 7 + = + + 27 = 9 ܿ
+ = 9 ܿ
11 ܿϡ
1 = 110 = 11 - 1100 = 11 * 9 + 11000 = 11 * 90 + 10 = 11 * 91 - 110000 = 11 * 910 - 10 = 11 * 909 + 1
ʤΤǡƷο򣱤ΰ̤ߤˡ­򷫤֤Τ 11 ܿǤ뤳Ȥɬ׽ʬǤǡ
- 7 + 5 - 8 + 2 - 4 + 1 - = - - 11 = 11 ܿ
- = 11 ܿ
ǡϣοΣΰ̤οȣΰ̤οʤΤǡ
= 1, 2, 3, 4, 5, 6, 7, 8, 9
= 1, 2, 3, 4, 5, 6, 7, 8, 9, 0
ǡ - = 11 ܿ ˤϡ = ꤨޤ
ꡤ2 * = 9 ܿ ȤʤΤǡ = = 9 ˤʤޤ

(ˡ2)
(ˡ1)ǵդΤǤ
1 + 4 + 2 + 8 + 5 + 7 = 277 - 5 + 8 - 2 + 4 - 1 = 11
ʤΤǡ¤ϡ142857 99 ܿǤ͡
ȤʤС10^7 = 10000000 = 9999990 + 10 = 99 * 101010 + 10 ʤΤǡ
142857 = 10000000 * + 1428570 + = (99 ܿ) + 10 * + = (99 ܿ) + = 99 ܿ
= 99 ܿ
μϰϤ餹ȡ = 99 ꤨޤ
ǡ = = 9 ˤʤޤ

(ˡ3)
ޤǤȡ֤ǽ餫ľܤ 99 ܿǹͤФפȵդޤ(դٲ᤮)
99 ܿϡ
1 = 110 = 10100 = 99 + 11000 = 99 * 10 + 1010000 = 99 * 100 + 100 = 99 * 101 + 1100000 = 99 * 1010 + 10
ʤΤǡΰ̤飲夺Ķڤä­Τ 99 ܿǤ뤳Ȥɬ׽ʬǤǡ
7 + 85 + 42 + 1 = 70 + + 85 + 42 + 0 + 1 = + 198 = + 99 * 2 = 99 ܿ
= 99 ܿ
μϰϤ餹ȡ = 99 ꤨޤ
ǡ = = 9 ˤʤޤ

ʤ142857 ϤɤǸʤפȻפäΤǤ1/7 򾮿ˤݤν۴ʬ˸¤ӤǤ͡
1/7 = 0. 142857 142857 142857 = 142857 * 0. 000001 000001 000001 = 142857 * 1/999999
7 * 142857 = 999999 = 99 * 10101
7 99 ϸߤǤʤΤǡ줫 142857 99 ܿʬޤ
äȤ⡤ȤΤϡˡȤƤϾ̵ꤽʡȤϻפޤ (^^;
ͥνȡ 28ڡ 11:13:42 MAIL:uchi@sco.bekkoame.ne.jp 29336
ʥʥ
īǡʣˤȸäƤޤä

Ф餯̼ʼʡˤơʸȲ͡
ֻˡְִäƤ衢ܥ󤸤ʤפȤΤޤä
ȥäΤʤɤͤΤפФޤ˴ְ
äƤʡ

ˡʤȺĩ(1,8)(2,7)(3,6)(4,5)(5,4)(6,3)(7,2)(8,1)(9,0)(9,9)ʤ͡ɤʣˤƳ󤿤Ǥ礦

ȡ̼ޤޤ֤ޤǤ狼иޤǤʤ(9,9)
狼äƤ͡פȤ

ƤϥܥΰӤéꡢ̼äƤȸäǤ
28ڡ 11:01:20 29337
uchinyan
ǼĤɤߤޤ

#29296, #29302, #29303
#29336(ˡ3)Ʊ

#29298, #29335
3 ܿ 9 ܿΤߤǥåˡȡå˼֤ޤ͡

#29300, #29307, #29308, #29315, #29318, #29324, #29334
#29336(ˡ1)Ʊ
#29307丫ִ1/7Ƭˤ褮ޤϴطʤΤǤ礦
142857 99 ܿפȤΤˤϻȤޤʳϤɤǤ礦

#29301, #29341, #29343, #29349
§#29336(ˡ2)Ʊ

#29306
䤤֣ܿפġ֣ܿפǤȤݤǡ#29296ȽˡѤȽֻȤˤ褦ȤΤǤ...
䥹ߥޥϴˤϤޤ
ϡͤdz褦˼¹ԤľɤҤǤ (^^;

#29317, #29322
65ABC15999ܿȤʤȤ3ABCʤ
դࡣ1000 = 999 + 1 Ȥ櫓Ǥ͡
5ABC15 = 5AB * 999 + 5AB + C15 = 999ܿ
5AB + C15 = 999ܿ
ǡA, B, C μϰϤͤȡդ 999 ޤ󡣤Ĥޤꡤ
5AB + C15 = 999
ǡA = 8B = 4C = 4 ȷޤꡤABC = 844 Ǥ͡

#29328
䥢14285799dzäΤ򡢣οabcdefȤabcdef00-abcdef142857ˤʤ褦碌ޤ
ĤޤŪ˲򤭤ޤ
ʤۤɡǤ⡤ΤˤǤϵѤäݤǤ͡

#29333
ץࡣΤ˥ץʤڤǤ

#29337
ࡤ̼ϥӥ
ȡ̼ޤޤ֤ޤǤ狼иޤǤʤ(9,9)Ȥ狼äƤ͡פȤ
ָޤǤʤפȤΤϤɤƤʤǤ礦11 ܿθơȤȤǤ礦Ȥ¾ˡ
㤵 11 ܿθʤäȤȤǤ礦
ͥνȡ 211 13:00:57 MAIL:uchi@sco.bekkoame.ne.jp 29338
banyanyan
סʤΤǡ˸ȤΤ˺Ƥޤ
28ڡ 22:15:04 MAIL:banyanyanmi@yahoo.co.jp 29339

äѥȥ뤵⣵̤ˤƤƤäǤ
28ڡ 22:35:20 29340
粬ҹ
ϥԡɾäǤ͡
ϣν۴ľοʤΤǡ鹶ΤȻפäǤޤǤ
ϣܿϣܿ򣹣ܿˤΤǡߣǣ
äƣܿ
28ڡ 23:33:22 MAIL:toshi009@land.hokuriku.ne.jp 29341

ߤ󤵤˰ܿʤ飳⤢Τǣ̤Ǥ衣
29ʶ 15:27:04 29342
⡼ޥ
0.999=7*0.142857
999999=7*142857 顢դ 99 dzΤǡդ 142857 99dzϤ
99999999 99dz롣
99999999-09999990=90000009 99dz롣
äơ91428579 99dz롣
ˡȤʳʤȤϸʤ褦ʡ
29ʶ 15:30:10 29343

סꡧַ꤬ڤΣܡܡܡܤΣĤޤοˤҤǺĤĶʵΥ˷򳫤򤫤뤳ȤΤǤŷĤޤǤϤΤ٤ƤΤȤäŷ餬礦Ȥ߹碌ϲ̤ꤢ뤫ʣˤˤϤʤΤȤ롣ƱȤˤ⤤ĤǤ⤫뤳ȤȤ롣

29ʶ 16:02:43 29344
⡼ޥ
#29344 ŷ
12345ǤǤȤ߹碌ϡ
񡢶񡢶ʤΤǡɤäƤϤʤ
οˡ1,2,3 ݤȤοͤ롣
ܴ񡡤ΤȤ
ܴ񡡤ΤȤ
ΤȤʤΤǡ

5*3=15,5*2=10,5*1=5
3*3=9,3*2=6,3*1=3
1*3=3,1*2=2,1*1=1
2,4 ϡ2,4,64,8,12

ʤΤǡ
10+6+2=6+122
10+6=2+2+12
=2+6+82
10+2=6+2+42
15=3+2+2+8
=3+2+6+4
=3+6+2+4
15+6=3+6+12 2
15+2=3+2+122
=3+6+8
=1+4+12
10+3=3+2+82
=3+6+42
10+9=3+4+12
=1+6+12
10+3=3+2+82
=3+6+42
5+6=3+4+4
5+6=1+2+8
=1+6+42
5+2=1+2+42
9+2=5+2+42
15+3=2+4+12
15+3=6+4+8
15+1=6+2+8
=6+6+4

̤ʤʤ顢ʾ38̤ꡣʡޤȴƤ롩(^^)v

ޡȤˡޤ

29ʶ 18:31:55 29345

ñ
210ڡ 18:49:15 29346

99ϡ9ܿǤ⤢ꡢ11ܿǤ⤢롣顢ޤư̤¤9ܿˤʤͤФ11dzäƤФΤ¾ιͤͭ롩
210ڡ 18:55:54 29347
ͶϺ
ά

᡼ǡɤɤ򶵤ꡢäƸޤ

üʥ , ƳΤˤۤɤλ֤פޤǤ

ˤ餯ȤƤΡᤤä ˽꤬ɤäȤδꡣ

󥸤ʤΤǡɻ餷ɲ򤤤ƹԤȻפޤ

ʤʤ赤ǼĤȴפޤ


210ڡ 23:02:40 29348
missk
դȵŤΤǤ125˸ͽȤʤäƤޤ?!äƴǤ
1428577=99999914285799dzڤ뤳Ȥ˵Ťͤ¿ä褦Ǥ͡
Ȥϡ000000099dzä;ȥ­99dzФΤǤ100/99=;ϥˤʤޤ͡
10/99=0;ꥢ10Ǥ͡
2Ĥμ饢000000099dzä;ϥ10Ǥ͡
˥­Х10+99dzˤϡ1ξƧޤȡ=9=9⤷ϥ=0=02̤ˤʤޤ͡
8οȤĤС=9=9ΰդ˵ޤޤ͡
Ͼγڱࡡ 211 12:27:10 MAIL:jjyhr530@yahoo.co.jp 29349
٤ڥ󥮥
ñǡ!!!!!!!!!!!!!
211 21:49:52 29350
Ѥ
142857äƤɤǸȤʤȻפäƤΤǤפФޤ
1428571=142857
1428572=285714
1428573=428571



ȤäǤ
֡ 212ʷ 13:31:46 HomePage:ʥڡ29351

٤ʤޤ⡼ޥ󤵤ˤƤְ㤨ǤҥȤ㤨кˤꣵФ¦ˤ磴̤ꤢޤ
ʣܣˡʣܣ
ʣܣܣˡʣܣܣ
ιͤĤΤǤ줬̤ƤΤȻפޤ
ʤߤͤϤ٤Ƥ̤Τޤ
212ʷ 14:51:31 29352
⡼ޥ
#29352
礵ء
䡢褯ְ㤨ʤǤ(^^;
ȤǤ⤦ͤƤߤ褦ʡ
򤭤ȲдְʤȻפäƤޤ
212ʷ 19:13:28 29353

ͤϹäƤޤɬĤʤɤȤϸ¤ޤ衣ޤʬǤäǤɤɤƤ⤢ȣ­ʤǤʾС
212ʷ 19:30:49 29354
⡼ޥ
#29354 Ť
12345ǤǤȤ߹碌ϡ
񡢶񡢶ʤΤǡɤäƤϤʤ
οˡ1,2,3 ݤȤοͤ롣
ƤȤΤǡ1Ĥ4ġ2Ĥ3ġˤ櫓롣
ܶܶܶ
ܴܴܶ
ܶܶܶ
ܴܶܶ
ܴܶܶ
ܴܴܶ
ܶܶܶ
ܴܴܶ񡦡
ܶܶܶ
ܴܶܶ

5*3=15ʴ,5*2=10ʶ,5*1=5ʴ
3*3=9ʴ,3*2=6ʶ,3*1=3ʴ
1*3=3ʴ,1*2=2ʶ,1*1=1ʴ
2,4 ϡ2,4,64,8,12
顢3ĤȤȡ2Ĥˤʤʤ
ĤޤꡢξϤʤ
ޤ12, 34, 56, 8, 9, 10, 12, 13153+31+9, 9+3, 10+12, 15+8, 15+9 Ϥʤ

ܶܶܶ
15=1+6+4+4
=3+2+2+8
=3+2+6+4
=3+6+2+4
ܴܶܶ
15+3=2+4+12
=6+4+8
15+1=6+2+8
=6+6+4
5+9=2+4+8
5+3=2+2+4
ܶܶܶ
15+2=9+4+4
15+2=3+2+122
=3+6+8
15+6=3+6+122
9+10=3+4+12
9+2=5+2+42
5+6=3+4+4
=1+2+8
=1+6+42
5+8=1+6+6
5+12=9+2+6
3+12=1+10+4
=3+10+22
ܶܶܶ
10+6=2+6+82
=2+2+12
10+2=6+2+42
ܴܶܶ
15+1+2=6+12
5+9+2=4+12
5+3+2=2+82
=6+4
5+3+6=6+82
=2+12
٤ϡ43Ĥˤʤޤ
ܤ餷Ƥ(^^;
ޤȴƤ뤫͡
ȴʤ褤ˡޤ
212ʷ 22:05:38 29355
å
ޤġĺ˴ؤƤϡΤ褯Ĥ뤫ݥȤʤΤǤ礦
213ʲС 2:05:31 29356

󡣤ޤǤʤ񤭽Фۤ®⤷ޤ衣񤤤Ƥ椱ФΤˡ§狼뤫⤷ޤ衣ʤߤϤäȤ󤢤ޤߤʤΤϣ䣱Ǥ˸
ϤʤȤǸȤʤǤ
213ʲС 13:41:57 29357
⡼ޥ
#29357
礵ء
guve up (^^;
𤤤¸ޤOrz
ä¾β⤪ĺФɤ͡ (^^)
213ʲС 20:15:23 29358
Ĥ󥸥
ƤǤ











ȣܿǾʤޤ
213ʲС 22:10:10 29359
uchinyan
礵ŷ
ޤˡפĤ򼰤ˤƿ夲ȤݤΤʤˡʤΤǡθƤޤ
178̤ꡤȤƤޤ
ͥνȡ 213ʲС 23:05:42 MAIL:uchi@sco.bekkoame.ne.jp 29360
JUN
dzΤϣ¡dzΤϣܣ¡᣹ǵޤ
213ʲС 23:54:46 MAIL:jmrtk800@ybb.ne.jp 29361

uchinyanǤϤΤǤ㤨кΰֿˣꡢ¦ˣȤȿФˤƱΤʤΤǡ
ϣ̤Ǥ
214ʿ 13:13:48 29362

ּϣڡ˸ȤʤޤפˤʤäƤޤ衪
214ʿ 13:16:22 29363
⡼ޥ
#29362
礵ء
uchinyanǤ (^^)
ҹͤϪꤤޤOrz

ơ錄פ֤ͧ


(m,n)=1m,nȤƼ衣
(m+n-1)!/(m!n!)Ǥ롣
214ʿ 13:49:55 29364
ޥ
#29363

Ŧ꤬ȤޤˤɤʤˤŦƤ褦ʵ..ޤm(__)m
PowerBook 214ʿ 14:15:27 MAIL:masaru-y@sansu.org HomePage:29365
ʤꥹ
򸫤Τ145:50äorz
5ʬDz򤱤Τˡ

βˡ
99dzȤȤϡ9dz뤳ȡפġ11dz뤳ȡס
9dz׾ϳư̤ο­פ9dz뤳ȡǤϳư̤ο­ȥ++27Ĥޤꥢ+918
11dz׾ϰĤΰ̤ο­פ顢ȸߤ㤤ΰ̤ο­פ0ޤ11ܿǤ뤳ȡ
ξ硢ʥ+4+8+7-1+2+5+=-+11 11ܿǤ뤳ȡĤޤꥢ=

ʾĤξΤϥ==9Ȥʤޤ
214ʿ 18:00:09 29366
ʤꥹ
ʤդ˽񤤤顢ֲuchinyan̲դƱˡ⤷Ƥorz
ıƤʤĤȤο
214ʿ 18:13:45 29367
uchinyan
#29362
̤ʤΤǤ͡Ǥ⡤ʸϤɤʤäʡ
¤ϤΤȤʬäƤꡤȾʬ89̤夲ơ虜虜ܤƤޤ (^^;
ͥνȡ 214ʿ 21:51:49 MAIL:uchi@sco.bekkoame.ne.jp 29368
uchinyan
#29364

(m,n)=1m,nȤƼ衣
(m+n-1)!/(m!n!)Ǥ롣
m = 1 ΤȤϡ餫
ʳξϡ
(m+n)Cm = (m+n)!/m!n! = (m+n) * 1/m * (m+n-1)!/(m-1)!n! = (m+n) * 1/m * (m+n-1)C(m-1)
ǡ(m+n)Cm(m+n)(m+n-1)C(m-1)
ǡʬ m ϡ(m+n) (m+n-1)C(m-1) ڤʤȤޤ󤬡
mn κ 1 ʤΤǡm (m+n) ڤ뤳ȤϤꤨޤ
ǡm (m+n-1)C(m-1) ڤʤȤʤΤǡ
1/m * (m+n-1)C(m-1) = 1/m * (m+n-1)!/(m-1)!n! = (m+n-1)!/m!n!
ͥνȡ 214ʿ 22:21:08 MAIL:uchi@sco.bekkoame.ne.jp 29369
ޤˤ
#29365꤬Ȥޤ
214ʿ 23:40:33 29370