ޥ
ߤޤ󡢥å㤵ηäȴƤޤ...

ƥ٥륯åĥ󡢳Τˤä̤Ǥm(__)m
MBP 104ڡ 0:01:20 HomePage:47608
ޥ
դΡǤְٽꤷȤ褦...פȻפĤġ򸡺ƸĤʤäΤǽꤷƤޤޤ

ֽꤷ褦ȤơꤷʤäʤΤºݤ˽ꤷƤޤäƤʤΤ줫ȤϻפΤǤ.....ܤνä顢ߤޤ
MBP 104ڡ 0:02:35 HomePage:47609
Ȥ
Basic

FOR a=1 TO 10
FOR b=a+1 TO 10
FOR c=b+1 TO 10
FOR d=c+1 TO 10
FOR e=d+1 TO 10
IF MOD(a+b+c+d+e,5)=0 THEN LET s=s+1
NEXT e
NEXT d
NEXT c
NEXT b
NEXT a
PRINT s
END

f9ơ52()
˭ԡ 104ڡ 0:06:13 MAIL:fttnm528@ybb.ne.jp 47610
kyorofumi
1066ǤȻפޤ
104ڡ 0:14:42 47611
٥륯åĥ
5dzä;꤬04ΤΤ2示ġ
ޤǹ51015ˤʤΤ4+44+452̤ˤʤޤ
104ڡ 0:16:31 47612
ϥ饮㡼ƥ
פ֤˥ץǴ򤷤äǤ
OctaveȤޤ

ȯǤ
104ڡ 0:49:58 HomePage:湩ؤ˥47613
Mr.ǥ
5dzä;(+1,+2,-1,-2,0)5ĤΥ롼פʬ
¤+5....(2,2,1,0,0)(2,2,1,1,-1)
¤-5...(-2,-2,-1,0,0)(-2,-2-,1-1+1)
¤0.....0,1,2,-1,-2)...........
(0,0,+1,+1,-2)(0,0,-,1-1,+2)
(0,1,1,-1,-1)(0,2,2,-2,-2)
(1,1,2,-2,-2)(-1,-1,-2,2,2)

ϡ2^5=32̤¾2̤ꤺ

ס32+2*1052̤ˡȤޤ
104ڡ 1:39:04 47614
ǯ
basicǵޤ
ȤϡȣޤޤƤ뤫ʤʬơ
Τߤ򣲲ޤǻȤ뤳ȤȤƵ
ȣξ硢ĤΣĤΤƱɬסȤꡣ
ΰΤߤ硢ĤΣĤưۤʤ뤫ƱɬסȤꡣ
⣱ʤ硢ĤˡƱɬסȤꡣ
פǣȤꡣ
Ȥʤޤ

104ڡ 1:09:20 47615
鯤ο
ξ;ࡢ<0><1><2><3><4>Τ줾Ȣ˶̤ΤǤ븵Ĥ
ꡢļФ¤Ȥȡ0ȹƱȤʤΤϲ̤꤫ȤƱ

Ȣˤϡ2ĤĤʤΤǡ2ȢǡļФȤϤǤ
3Ȣ4Ȣ5ȢΤ줫ȤȤˤʤޤ

(I)5ȢȤ
ϡȢ顢1ĤļФ顢2^5=32̤ꡣ

()4ȢȤ
ξ硢3Ȣ1Ĥġ1Ȣ2ļФȤˤʤޤ
5¤0ȹƱˤʤޤ

ƾ;ɽa,b,c,d,eȤȤ
a+b+c+d+e0ʤΤǡ㤨Сa+b+c+2d0Ȥȡ
a+b+c+2d(a+b+c+d+e)+(d-e)d-e0
Ȥʤ̷Ǥ

()ȢȤ
ξ硢Ȣ飲Ĥġ1Ȣ飱ļФȤˤʤޤ
¤ϡ2ȢȤ߹碌Ϳ顢ĤΣȢ٣Ȣ
¤0ȹƱˤǤطˤޤ()
äơξȤ߹碌ϡ5C2*220̤ꡣ

(I)()ˤꡢ32+2052̤//

()ͳ
a,bۤʤ;ɽȤȡ
2(a+b)+x=0Ȥʤxϡx3(a+b)ǤΤȤxaxbǤ
ΤʤС㤨СxaȤȡ
a3(a+b)
2a-3b2b
2(a-b)0
Z5Τ顢abȤʤꡢ̷⡣

104ڡ 2:30:22 47616
ޥ
ʤߤ˸ϡpǿȤ12ppĤ֤Ȥ¤pܿǤ褦ʾο衢ȤݤΤΤǤ
iMac 104ڡ 3:14:18 HomePage:47617
ֿء׾ι
ȣñȤǣܿˤʤ롣УѡУѤϣĤǣܿˤʤ롣УѡУѡУѡУѤϣĤǣܿˤʤ롣Ȥ߹碌ͤޤ
104ڡ 6:20:02 47618
̴
ͤƤ̵֤̤ȡ15,20,25,30,3540Ȥ߹碌
夲뤳Ȥˤ®»ܡĿоΤˤʤȷƤޤ
(1+7+18)2=52Ȥޤ
ٻΤ桡 104ڡ 7:10:58 47619
Ѥ
BASICäƵޤθ塢ȣȹ礻dzǧޤ
104ڡ 9:05:18 47620
ǯ
#47617ˤϡ{(2*p)Cp-2}/p+23,5,7,11,13basicdzǧѤߡ
ϴְ㤤Τ褦ǤΤǺ
ʤ줬Ω뤫

104ڡ 21:37:01 47621
ˤ
ݤˤʤäƥץޤ
#47614 Mr.ǥ
#47616 鯤οͤ
ٶˤʤޤm(__)m
Ķļˡ 104ڡ 16:38:22 47622

;꤬ 1,2,3,4 ξ⸡ڤȤ٤ 50̤Ȥʤä
52+504=252=10C5 Ǥ뤫ʤ;꤬0ξ 2̤¿Τ
狼ä㤤ޤ?
104ڡ 18:19:28 47623

狼ʤΤǤ

(˽񤤤ƤäˡԳΤʤᡢޤ)

1kpޤǤp֤Ȥ(ά)
{(kp)Cp-k}/p+k
ǤϤʤǤ礦
ʬʬǤ­Ƥ뵤ΤǤޤ
ͭ񤤤Ǥ

109ʲС 9:28:42 47624

#47624ΡоȤɽk˰̲Ȥ
ʤȻפޤΤǡޤ
k=2ʤ2¸ߤ3ʤ3ܤˤʤޤ
ǿpˤĤơkȤƤʴطΩĤȤˤʤޤ͡
k{(kp-1)C(p-1)}=(kp)Cp
?(^_^;)

ʬʬǤϤǤʤޤޤǤ(--)
105ʶ 2:01:37 47625
cocogoo
ʤᡢðǰ˿ޤ5,10ޤޤʤȴޤʬޤ褺Ǿ1-4,6-102̤ꡣ5,10ޤޤʤơ32­5ܿˤʤȤ߹碌Ϥ줾8ġġȤ߹碌12̤ꡣ2ǣĤ5ޤ10Ȥ߹碌30̤ꡣǸ(5,10)3Ȥ߹碌8̤ꡣƲû52̤Ȥʤޤ
105ʶ 11:23:32 47626
cocogoo
ߥߥޤΤޤǾ1-5βûǤ2ǤθĿϣĤǤ餷ޤ
105ʶ 11:47:53 47629

#47625
k{(kp-1)C(p-1)}=(kp)Cp
ϡpǿǤʤȤˤ̤ΩĴطǤ
105ʶ 12:35:51 47630

㤨5dzä;꤬1ˤʤȤ2ˤʤȤƱ뤳ȤϡΤ褦Ǥ뤫Ȼפޤ
;1ȤäȤơ
1224314355
677986981010
Ȥִܤȡɬ;2Ȥˤʤ롣
105ʶ 12:50:39 47631

Ԥ
#47630 ꤬Ȥޤޤ򵭲Ƥ餺
äĴ٤Ф褫äǤ͡Ƥ꤬Ȥޤ

;14,23ɤˤĤƤϡ1Ȥ5Ĥο򡢤줾¤ꡢ㤨11ˤʤΤбС11бƱˤʤȤäƤǤ礦
㤨(1,2,3,4,6);1ۢ(10,9,8,7,
5);4
ǼԤ#47631ˡΤ褦ִȤС
;1=2=3=4ޤǼȤˤʤޤ͡
Ȥϥ󥰤Ƿ֤2Ȥ;0ɤΤ
ˤϤޤ狼ޤ
ԤΤäִιͤڤ򤤤äƤäꡢ
ʤ򸫤Ƥ褦ʴǤf(^_^)
ޤǿp̲ȤϤɤΤȤ⤢äꤷ(^_^;)
󡢤ɤΤǤ礦

ɵ
#47631ִλȤߤä򡩤ޤ
줾οܤΤƱǤ(^o^

105ʶ 18:18:43 47632
kyorofumi
#47632 #47631
ʤۤɡ

ͭGF(p)ͤȤ˵󤲤줿(23ġp1)ܤ;οǤդѤ뤳ȤǤ롣
ΤȤpǿǤʤн󡩤ˤʤʤȤp6ʤ顦
122436425466
Τʤʤ

GF(2p)ˤĤơ{x1x2...xp}#47631Τ褦ҤͿɬ㤦˼롣ΤȤ{12p}{p1p2...2p}ϼȤ˼̤롣

ʤΤǡ(2pCp-2)/p+2

ä5ĤǤϤʤ3ĤȤ4ĤȤ⼰ȤͿ줽Ǥ͡
105ʶ 20:47:28 47633
ǯ
#47631 #47632 #47633򤽤ʤȤҤƤΤǤ
#47631ִǤդpĤ֤ȤȤɤΤ褦ʴطˤΤǤޤ
פĺȻפޤΤǤ
#47621ǽ񤤤ϡ2pppdzpǿξ硢2;뤳Ȥ顢
;꤬1p-1θĿƱȤƷ׻ΤǤʺʤˡˡ
106ڡ 0:38:03 47634

p5ǤäʤС
Ǥդ5Ĥο㤨(1,4,6,7,8)=¤26;1
(2,3,7,9,6)=¤27;2ѴǤ򤷤Ƥޤ
Ǥ2ܤˤС¤(ɵ)Ʊ5dzä;2ܤˤǤޤ2ܤ򷫤֤
;1;2;4;3;1ȤʤΤ
ȿϡ;1=2=3=4Ǥ뤳ȤȤΤǤ
ϤŦȹǤ

#47633ǹԤͤޤäƤޤ
ͭGF(p)ͤȤ˵󤲤줿(23ġp1)ܤ;οǤդѤ뤳ȤǤ롣
ΤΤʤΤǤ{0}ϤǤɤͤΤʤΤǤ(^_^;)

106ڡ 1:19:04 47635
kyorofumi
#47635
ˡ;1234ϼƤޤڤϼƤޤ͡
106ڡ 0:45:47 47636

kyorofumi
{1,2,3,4,5}{6,7,8,9,10}¤5dz꤭Ȥϡ줾ޤ̤5dz꤭Ȥؼ̤ΤǤ
ȿ㤨;1ȿƱȸڤ뤳ȤǤpdzäƤΤ?ȤʤäƤޤΤǤ
ǯԤ󤬿¬줿褦ˡ2г꤭ʤ顢ä㤤YO!()Ȳ褫餫Ԥ񤭤ʹ褦Ǥw
106ڡ 1:31:34 47637
ǯ
#47635꤬Ȥޤ
2ܤȤ̣ȽޤִƤξޤǤȤȤϤɤΤ褦˹ͤΤǤ礦 ȯȤ510ޤǤƤƱϸʤΤǡ¿ʬʤȤϤΤǤ
106ڡ 1:40:11 47638

ǯԤ
ޤ뤫狼ʤΤǤ
2ܤִŬǤZȤ
Ǥ˴Τ⤢ΤZεո(2dz)ϤǤޤ
Z򷫤֤
50ȤƤ;1Z50Ȥۤʤ;2Z50Ȥۤʤ;4Z50(Ʊ);3Z50(Ʊ);1
β㤨;2Ȥ˼¤51ȤäȤ
;451ȢZ;351ȢZ;1¤51Ȥä
ȤȤˤʤꥹȤΡ50ȤƤ;1פ̷⤷ޤ
ۤʤ50ȤZˤۤʤ50Ȥˤʤ뤳Ȥϡ
55,1010ޤǤƤ¾3Ĥʤ4Ĥοꡢ
{14,69}11б¾οִΤǡ
ΤȤƤ11бǡۤʤȤ߹碌ZˤۤʤȤ߹碌
ѴȸƤʤǤ礦(ʤ)

106ڡ 2:42:02 47639

ޤ̤ιͤȤ3ܤִY, 4ܤִXƱͤ˺ޤΤǡ
;1Z;2Y;1
;1Y;3Z;1
;1X;4X;1
ä;1=2=3=4
ǸƤ뤫?Ȥޤ
106ڡ 3:04:43 47640
ǯ
#47639,#47640򤫤ޤա
褯ͤ⤷ʤǼ䤷ƤޤΤǡޤǤƤ򤷤äȹͤƤߤȻפޤ
106ڡ 8:07:56 47641

ǯԤ
⤷⤴μݤˤƤʤäȤ餴ʤ
106ڡ 15:10:57 47642
ޤ
夲ϳ줬äơ򤱤ޤorz
¤154020352530λƱȤ餤Ť
Ŭ˿ơˤäƤޤ

طʤܼϡڤĶ٤ʤΤǡ
ӥåꤷƤޤ(^^;

줫ǼĤҸٶޤ
somewhere in the world 106ڡ 18:42:01 47643
ݤä
פ֤Ǥ

ʤȤꡢ̤pξ1995ǯιݿإԥåκǽ˽ФߤǤСʶǯοإԥåϤä٤Ǥ

ʲβˡǤ⼫Ǥ礦

{1,2,,2p}pĤθʤʬΤAȤޤ
AθФ
12,23,,(p-1)p,p1,(p+1)(p+1),,2p2p֤ȤͤޤAθSФƤkܤΤS_kȽ񤭤ޤ礦
ޤưפʬ褦S_0=S_pǤ
S{1,2,,p},{p+1,p+2,,2p}ȰۤʤȤ,
S_0,S_1,,S_(p-1)γƽθ¤pdzä;꤬ߤۤʤ뤳Ȥ狼ޤ(S˴ޤޤ{1,2,,p}θοlȤȤ,mod pǹູlˤʤΤ)
ä,A{1,2,,p},{p+1,p+2,,2p}Ȱۤʤ븵ˤĤơ¤pܿˤʤΨ1/pˤʤ뤳Ȥ狼ޤʾ̤ޤ

¾ˤ(x^p-1)^2ʣǿϰϤǰʬ򤹤ȤȤƤ⥨쥬Ȥʾ⤢褦Ǥˤ϶Ϥľˡ{1,2,,kp}nʬפѤ̲ޤʼ¤ϺǽˤǤ⾯פȤ򼨤Ȥޤ

ʲΥڡͤˤʤȻפޤ(ѸǤ)

https://math.stackexchange.com/questions/314788/let-p-be-an-odd-prime-number-how-many-p-element-subsets-of-1-2-3-4-ldo
107 12:49:20 47644
ޤ
夲ˡѤơ̵^^;

#47612 ٥륯åĥ
#47614 Mr. ǥ
βˡ꤫顢ٶޤ

#47644 ݤäݤ
Ǥ
Ǥ⡢ˡطʡܼ狼뾮ϤʤΤǡ
ϡ֤ʤ֤ʤץȿ褦ˤʤޤ礦
ȤäȤǤ礦(^^;

#ˤƤ⡢ޥ뤵νǽϡʡϡˤˤϡ
æ˹Ǥޤ
somewhere in the world 107 20:08:30 47645
ޤ
#47611 kyorofumi
ʤۤ1066줹ΤǤ͡
ȡľ顢ʬ򤷤ƤȤ
ä˺ƤΤ餯Ĺ㡡
С󥵥ɤ⡢˺ѤĹ
somewhere in the world 107 20:20:31 47646

#47644ݤäݤ
ȤƤⶽ̣ɤޤִѤˡʣǿʿ̤Ѥˡİޤ
ĿŪˤϤɤβˡǤǽʳޤǸ̩˸ڤξڤʤΤǤĤǼǤ褦ʵŤ뤫⤷ʤǤ̵ΤΤ⤷줺Ĺ˹褦Ȼפޤ꤬Ȥޤ
(ɵäִβˡϲ褷ޤŤ٤ġ(ϡ)Ƥ褯ǤƤޤ!)

ɤȤޤơͤΥ󥹤餷Ǥ
ͤǤȤƤٶˤʤޤΤǡ줬衹ΩĤΤڤߤǤ
ĹĤ񤷼餷ޤ꤬Ȥޤ(^o^)

107 23:51:02 47647
Ф
ޤ110Υɤ5dzä;1,2,-1,-2,05ʬह
줾2示Ĥˤʤ
Υɤ¤0,5,-5Τɤ줫ˤʤ褦ˤФ褤
1,1-2,0,02̤
1,2-2-1,032̤
1,1,2-2-22̤
2,2-1-1-22̤
2,2-2-2,02̤
1,2,2,0,02̤
1,1,2,2,-12̤
-1,-2,-2,0,02̤
-1,-1,-2,-2,12̤
1,1,-1,-1,02̤
2,-1,-1,0,02̤
碌52̤Ǥ
1010ʿ 6:07:19 MAIL:hbmath1965@yahoo.co.jp 47648