Melvy
ޥ뤵󡤥ѥľ˺Ƥޤ衼
1025ڡ 0:51:28 HomePage:رMelvy31039
ޥ
ߥޥ󡢺ꤤޤ...m(__)m
iMac 1025ڡ 3:23:46 MAIL:masaru-y@sansu.org HomePage:31040
cocolo
ǤΤޤοƤʤΤǤ

1ΰ̤09ޤѲƤ
(01239Ȥ褦ˡǤ)
10Ĥοˤ֤줿˽ϤȤ߹碌ϡ

1ΰ̤0,1,2,3,4,5,6,7,8,9ѲˤĤ졤

0,1,2,3,4,5,6,7,8,9
1,2,3,4,5,6,7,8,9,10
2,3,4,5,6,7,8,9,10,0
3,4,5,6,7,8,9,10,0,1
4,5,6,7,8,9,10,0,1,2
5,6,7,8,9,10,0,1,2,3
6,7,8,9,10,0,1,2,3,4
7,8,9,10,0,1,2,3,4,5
8,9,10,0,1,2,3,4,5,6
9,10,0,1,2,3,4,5,6,7
10,0,1,2,3,4,5,6,7,8

ΤΤɤ줫ΥѥȤꡤ
(ȸڤϤǤƤޤ)ɴΰ̰ʾοؤη夬꤬
ʤ¤ꡤ嵭νǷ֤ΤǤϤʤȡ

Ȥȡ
0ʳο³ĹΥѥ
(ɴΰ̰ʾη夬)
Ȥʤꡤ38פȤʤΤʡȡ
(Ūˤ999981100018ʤɡǤ礦)

Ĺ塤դǡξ狼ˤʸϤǤޤ󡦡

ɤʤΥ쥬ȤʲˡڤߤˤƤޤ
ʼˡ 1025ڡ 3:59:01 31041
cocolo
Ρ100018ע1000018פǤ͡
ޤ󡦡
ʼˡ 1025ڡ 4:03:04 31042
㡼ߡ
#31041 ƱˡǤ٤⴪㤤Ƹޤġ
Ȥ礦Ȥᤰ 1025ڡ 5:47:53 MAIL:ojamaru@amber.plala.or.jp 31043
ߥƥ
äޤ͡
1025ڡ 7:17:25 HomePage:ߤ31045
ǧ
ɤͤƤ 38 ʤɤʡȻפĤĤ
ǧڤǤϤͤ줿ͦϽФʤä
1025ڡ 8:15:02 31046
ϥ饮㡼ƥ
Ϥ褦ޤ

ץǣޤää
οޤǷ׻Ф褤ΤɤοϰϤ
38³Τ
1025ڡ 8:42:34 HomePage:湩ؤ˥31048
kasama
äȷǼĤޤ(^^) #31041 ƱǤ
ҡ 1025ڡ 9:13:46 31049
uchinyan
Ϥˤϡơϡ

ϴԤǤ񤭽ФƤߤȡ夬ѲˤĤ;꤬ĤĤƵʤʤ
Ȥ餤ǡʬޤǤ
ʤΤǡץͻҤĴ٤ʤǧڤǤ
A ץǥߥ졼ȤΤϴñǤϤο˾¤ʤΤǡϷޤޤ
ǡǸǧڤȤ櫓Ǥ
ʤץǤ⡤Ϥ 1000000 ޤǤǤ 28 ǡ10000000 ޤǤǤä 38 ˤʤޤ
ºݡǽ 38 ͿΤϡ999981 1000018 ʤΤǡ1000000 ޤǤǤϥǤ͡

ˡϡǼĤ򸫤ٶޤ
ͥνȡ 1025ڡ 10:55:05 MAIL:uchi@sco.bekkoame.ne.jp 31050
uchinyan
( (^^;)
ǼĤɤߤޤĿŪˤϡޤꥹåꤷˡν񤭹ߤϤʤǤ

#31041
˴ؤƤϻ褦ʤȤפĤޤʤ
0ʳο³ĹΥѥ
䭡(ɴΰ̰ʾη夬)
դ꤬褯ʬʤǤ
⡤ʾĹΤʤΤ餫ʤΤǤ礦
--->
Ƚ񤭤ޤľƤƾʬޤ (^^;
;꤬ 0 Ϥޤä 0 ǽǤ顤ǽȤ ʤ
夬ޤưĿФȤȤǤ͡
ФΤϡˤΥѥ󤷤ʤΤʡ
--->
פǤ (^^;

ޥ뤵ˡϤɤʤΤʡ
ͥνȡ 1026ʶ 11:04:34 MAIL:uchi@sco.bekkoame.ne.jp 31051
uchinyan
#31036
˿ڼԤ#31038βޤåĤȡĤ
(a^2 + b^2)(c^2 + d^2) >= (ac + bd)^2 a/c = b/d
Ȥ⤢ޤ͡
a = 1, b = 1, c = x, d = y Ȥơ
(1^2 + 1^2)(x + y) >= (x + y)^2
x + y <= 2 * (x + y) x = y
ǡk >= 2 ʤ
x + y <= 2 * (x + y) <= k * (x + y)
ˤΤǡk κǾͤ 2 Ǥ
ͥνȡ 1025ڡ 11:22:12 MAIL:uchi@sco.bekkoame.ne.jp 31052
ǥ
#31046ǧɤƱ
ΤȻפǧڤǤƤȲ⸡򤷤ʳ˹ͤ줺
áäޤʼӼ褫ä

ˡϡcocolo#31041ƱǤcocoloΥѥֹ򤽤Τޤ޻Ȥȡ

(ɴΰ̰ʾη夬) Ȥʤˤ
夬00Ǥϡɴ̰ʾγư̤ο¡ᣱ(mod11)
夬99Ǥϡɴ̰ʾγư̤ο¡ᣳ(mod11)ǤʤФʤʤ

(ɴΰ̰ʾη夬)巫夬ФΤ褦ˤʤ뤫Ǥ
ɴ̰ʾ夬1000Ǥ ϡɴ̰ʾγư̤ο¡ᣱ(mod11)
ɴ̰ʾ夬9Ǥϡɴ̰ʾγư̤ο¡9*(mod11)
9*(mod11)3(mod11) ǤǾΣϡᣴ
äơɴ̰ʾ夬 9999 ,10000 ΤȤʤ 9999811000018 ϰϤǣ³
Ȥʤޤ
ʾΤ褦ˡcocolo#31042Ʊ̤Ǥޤ

³礭ϰϤϡ3899998139000018ס4799998148000018ס5699998157000018
6599998166000018סǤ͡

1025ڡ 12:30:23 MAIL:cacrh525@hcn.zaq.ne.jp 31053
X
Τ٤ʤ򤱤ޤ...̣ʡĤʤ飱dzäȤ;꤬äƴDz򤭤ޤ
1025ڡ 13:05:19 31054
25no12
cocoloƱ
1025ڡ 13:13:42 31055
ޥ
դԷǼĤΥѥߥˤ곧ͤˤǤ򤪤ޤޤǤm(__)m

¤Ϥäȳʤݤ߲񤬤ޤơưåȤƽФƤΤǤκݤԷǼĤΥѥɤְ㤨ȤΤǤPHSŸʤʤäƤޤäƤơˤĽŤΤפФʤ...ˡƱʤΥ꤬Ƥ뤳ȤȡԤ̾ФƤ뤳ȤޤǤϳǧΤǤԷǼĤ뤫ݤΥåϤƤޤǤm(__)m
1025ڡ 13:22:10 HomePage:31056
ϣ
Ǥ͡
繥Ǥ

99999鲼򸺤餷ƹͤȡ9981Ϸιפ11dzä;8ʳǡ808о졣11dzˤФ褤

Ǿξ999980(ιפ44
1000010018ޤǤϷιפ10ФƤʤ

ä9999811000018ޤǤ38ĤǤ

μ99999999999999981100000000000000018ޤǤ38ġ

999999999μ10000˥ꥻåȤ뤳ȤݥȤʡ
1025ڡ 13:30:35 31057
uchinyan
#31053
³礭ϰϤϡ3899998139000018ס4799998148000018ס5699998157000018ס6599998166000018סǤ͡
ϤץϤ 100000000 ޤĴ٤Ȥ38 ³Τ
999981 100001838999981 3900001847999981 48000018
56999981 5700001865999981 6600001874999981 75000018
83999981 8400001892999981 93000018
Ȥʤ褦Ǥޤ
ͥνȡ 1025ڡ 14:13:25 MAIL:uchi@sco.bekkoame.ne.jp 31058
uchinyan
#31057
䤽μ99999999999999981100000000000000018ޤǤ38ġ
ޤǤϹԤʤƤ褦Ǥ衣
ͥνȡ 1025ڡ 13:35:49 MAIL:uchi@sco.bekkoame.ne.jp 31059
banyanyan
ʤʤʤΤDz٤ͤľƤޤޤǡդ԰򸫤̾ܤäƤΤ(Ρ)ΤӤä!!
Ф餯ơä뤳ȤǤޤʤΤDz֤ͤľƤޤޤ
ȤʤǼĤ˽񤭹ߤǤ֥饦Ѥʤ
1025ڡ 13:36:55 HomePage:뤤²ײݻ31060
abcba
28ͤ뤫⤷ޤͤ͡ǽ餳򸫤ľ28ˤʤäǤɡ2ɴΰ̰ʾˤ櫓ơɴΰ̰ʾ¤11dzä;꤬3ξɴΰ̰ʾο9ξ
ǹ̤夬10000...Ȥʤ뤳Ȥͤ
19+19=38ȵޤ
ɴΰ̰ʾ¤11dzä;ͤޤ
;07ξϺ28
;2ξϺ37
;1ξϺ36
;3ξϺ38ĤǤ
1025ڡ 16:39:49 31061
⡼ޥ
ä줿^^;
øʹͤǤ
28Ǥʤ顢夬ϤޤäƤ1󤷤2ܤϡ夬ʤ顢+(11-1)38ȡ^^;
ߤʤθٶޤ Orz
1025ڡ 22:53:17 31062
Х륿
ϤꣳǤäƤΤǤ͡ƤʤäΤ
Ƥޤޤ
ܿˤʤˤ礦ɷ夬ˤä;꤬ˤʤΤ򸫤Ĥ롣
夬Ȥΰ̤ǤϣξϡܣĸΤ
ܣߣᣵλѲȤʤ롣
ʤλ夬ǹϢ³ˤʤȹͤޤ
줺ǺƬˤʤäƤޤ
⤦ƺƥ󥸤Ǻޤ˺ѤǤȤϡ
1025ڡ 23:59:36 MAIL:barutanace@yahoo.co.jp 31063
abcba
#31061
>;07ξϺ28
>;2ξϺ37
>;1ξϺ36
>;3ξϺ38ĤǤ
ƤƥܡɤǤǤΤǾ;ʬʤΤ
񤤤ޤƤޤޤ

ɴΰ̰ʾʬǵޤΤ
Ʒ¤11+kdzä;ɽ
BͤǡʳϢ³ƸĿ
2(10k+9)ĤǤ롣
Kϣʾ8ʲ
1026ʶ 0:36:33 31064
abcba
#31064
>Kϣʾ8ʲ
Kϣʾ7ʲδְ㤨Ǥ

1026ʶ 0:38:38 31065
⡼ޥ
ʤȤʤ̣ʬäʡ^^
Ϣ³28μο29夬ФäϢ³ǽʤȤʬꡢ
ΤȤϡ81+29=100
ΤȤϡ118ޤǤʤ
ɡ81118ޤǤ38ġ
ǽ818ϡο8¤11ܿˤʤäƤФ褯夬äȤ100ˤʤΤФ褤Ĥޤꡢ9998=11m ʤ褤
9a+8=11m 顢a=m+(2m-8)/9 顢2m-8=9tm=4t+(t+8)/2t=2k
m=9k+4a=11k+4 顢ȤСǾ a=4
9999811000018
Ǥ⤳Ǥϡη夬99ξ礷ʤ
夬äƤʹߤϡ118ޤǤǹ顢Ϣ³28μο29夬礬ǹΤϤ^^v
1026ʶ 4:05:24 31066
⡼ޥ
#31066
錄η׻ְäƤ뤷 Orz^^;
1026ʶ 9:08:09 31067
⡼ޥ
夬ϡ19,28,37,46,,,, 顢Ĺ19νǡ
19+81=100
100 ϡ1+18=10 顢118ޤǡ
99811018 ޤǤĹ38ġ
998 ¤11ܿˤʤΡ
ǤǤ͡
1026ʶ 9:42:32 31068

ޤ狼ޤ
ļˡ 1027ڡ 8:39:26 31069

򤱤ʤݵˤʤޤץǤ
줫ٶޤ
ļˡ 1027ڡ 9:10:05 31070
⡼ޥ
򤫤ä
2/3! + 3/4! ++ 11/12! ʬηɽȤʬҤ2002dzä;衣
1027ڡ 9:29:30 31071
ǥ
#31071 ⡼ޥ󤵤
2/3! + 3/4! ++ 11/12!(1/2!-1/3!)+(1/3!-1/4!)++(1/10!-1/11!)+(1/11!-1/12!)
1/21/12(3*4*5**11*121)/12!

3*4*5**11*12 212dz뤫顢ʬҤ212ΤɤǤ줺ʬϴʬǤ롣
äơ3*4*5**11*121 2002dzäޤФ褤
20022*7*11*13
3*4*5**11*122*7*11*{3*4*5*(6/2)*8*9*10*12}
3*91(mod13),4*101(mod13),5*81(mod13),(6/2)*1210(mod13)
3*4*5*(6/2)*8*9*10*1210(mod13)
äơ3*4*5**11*12ݣ2*7*11*(13+10)1ʣ
2*7*11*13*(2*7*11*101)20021539
ȤʬҤ 2002dzä;ϡ1539 ǤפȤʤޤ
1027ڡ 21:34:23 MAIL:cacrh525@hcn.zaq.ne.jp 31072
⡼ޥ
#31072
ǥءOrz Ǥ͢
>2/3! + 3/4! ++ 11/12!(1/2!-1/3!)+(1/3!-1/4!)++(1/10!-1/11!)+(1/11!-1/12!) 1/21/12(3*4*5**11*121)/12!

ˤϵդʤä^^;
錄Ϥ˽񤯤ΤѤ褦ʤ䤳׻򤷤Ƥޤޤ
ǹԤȡ20022*7*11*13 顢
2/3!+3/4!++11/12!=1/2!-1/12!
=(3*4*5**12-1)/12!
3*4*5**12=3*4*5**11*(13-1)
=-3*4*5*6*7*8*9*10*11
-3*4*5*6*7*8*9*10*11/2*7*13
=-3*2*5*6*8*9*10/13ʲʴάޤޤ^^;
=-3*2*5*6*(-5)*(-4)*(-3)/13
=3^2*2*5^2*6*4/13
=(-4)*2*(-1)*6*4/13
=-5*6*4/13
=-4^2/13
=-3/13
Ĥޤꡢ
-3*2*7*11=-462
-462-1=-463
Ĥޤꡢ
2002-463=1539

ʤߤˡ錄ѻʷ׻ϡ
׻Фιפǡ^^;

2/3!+3/4!=(2*3+3)/4!
11/4!+4/5!=((2*3+3)*5+4)/5!
59/5!+5/6!=(((2*3+3)*5+4)*6+5)/6!
359/6!+6/7!=((((2*3+3)*5+4)*6+5)*7+6)/7!
ʬҤϤޤǤʬΰҤʤ
(((((2*3+3)*5+4)*6+5)*7+6)*8+7)*9+8)*10+9)*11+10)*12+11
2002=2*1001=2*7*11*13 ʤΤǡ
μͤ롣
((((((2*3+3)*5+4)*6+5)*7+6)*8+7)*9+8)*10+9)*11+10)*12+11)*13+12
((5*7+6)*8+7)*9+8)*10+9)*11+10)*12+11)*13+12
6*8+7)*9+8)*10+9)*11+10)*12+11)*13+12
6*8)*9+8)10+9)*11+10)*12+11)*13+12
6*8*9+8=440*10+9=4409=405*11+10=4465=461*12+11=5543=1539


1028 8:19:23 31073

ǥ
⡼ޥ󤵤
2/3!=1/2!-1/3!ˤդޤǤ
ȤȤ׻ȤȤʻǤ
ʤΤ˷äƤ롣դߤǤ
ļˡ 1028 8:38:52 31074
粬ҹ
פ֤ޤʡˡϤƤޤʤΤǥץǤäƤޤޤʡˤƤ⺣ϻŪˤǤ͡ڤޤ
1029ʷ 11:01:26 31075
Ѥ
äޤ
꤬ȹͤޤ
֡ 1029ʷ 19:18:07 HomePage:31076