JUN
ǹȺκ򣱤飴ޤǹͤơ줾ξȹ礻פޤ
Sapporo 720ڡ 0:07:15 27862
ޥ
ᥤǤβ򸫤ȡ5070ˣʬƤ...ʸϤ̤ɤ᤿ꤹȤ..Ǥ礦԰...
PowerBook G4 720ڡ 0:07:51 MAIL:masaru-y@sansu.org HomePage:27863
Ȥ
FOR a=1 TO 5
FOR b=1 TO 5
FOR c=1 TO 5
FOR d=1 TO 5
IF a<=b AND a<=c AND a<=d AND c<=b AND d<=b AND c<b AND a<d THEN PRINT a;b;c;d
NEXT d
NEXT c
NEXT b
NEXT a
END
50̤
˭ԡ 720ڡ 0:09:23 MAIL:fttnm528@ybb.ne.jp 27864
Ҥ
70ʤǤ
ĥ襷ϡ餱ƤʤפȤȤƱDz̤⤢Τ
720ڡ 0:09:31 27865
Ҥ
ȡäƤ⣵θˣޤ
720ڡ 0:10:19 27866
ޥ
#27865
ޤä...־äפˤʤ㤤ʤä..m(__)m
PowerBook G4 720ڡ 0:11:28 MAIL:masaru-y@sansu.org HomePage:27867
ߥƥ
ԿʤȤäǤ礦͡ġġ
70̤꤫ǹ⡦˥ޤޤʤ20̤꤫ȡ
720ڡ 0:13:56 27870
kasama
󡣻⣷äΤǤɡ
720ڡ 0:14:10 27871
ޥ
Ȥ櫓ǡȤꤢ70פޤm(__)m

ϡǽ֥ĥ襷ϥޥˤϾäפĤΤǤʸϲȤˡ餱ƤʤᾡäפȤƤޤޤޤǤm(__)m
PowerBook G4 720ڡ 0:14:13 MAIL:masaru-y@sansu.org HomePage:27872
kasama
()ʥåȥǤ!!(^/)
720ڡ 0:15:25 27873
sugitakukun
Ϥꡢʸβ˼ּä¿ǡ

ֺǹ⡢㤬ñȤʤ飲̤עƱͥ⤢飵̤ע֡餱Ƥʤ٤飷̤פޤorz
720ڡ 0:16:06 27874
إ饯쥹ԡ
ǹΥĥ襷ȺΥޥ뤵ꤷƾ櫓ޤ
ޥҥ餱ʤäᾡorƱȤȤ
ޥ뤵ƱͤäݤΤ̵뤷ޤ
ĿŪˤϡޥ뤵󡦥ޥҥ̾׻ѻ˽񤯤ΤݤäǤʤܤ
¾Σͤϥĥ襷ġȥ⥨󢪥ȡʤǤ
軲̻ԡ 720ڡ 0:16:13 HomePage:ɥԥ27875
ե륳
餱ƤʤפȤɽݥȤȻפäΤǤ
720ڡ 0:17:36 27876
Ҥ
ĥ襷ȥޥܤ
Σͤȥ⥨ĥ襷
ΤȤߡߡ
ΤȤߡߡ
ΤȤߡߡ
ΤȤߡߡ

720ڡ 0:21:29 27877
Ȥ
#27864
ifξc<bǤʤc<=bȤ
FOR a=1 TO 5
FOR b=1 TO 5
FOR c=1 TO 5
FOR d=1 TO 5
IF a<=b AND a<=c AND a<=d AND c<=b AND d<=b AND c<=b AND a<d THEN PRINT a;b;c;d
NEXT d
NEXT c
NEXT b
NEXT a
END
run70̤

⥪ղ˻äƤޤ
Υ󥭥󥰤ͥåȾ!!ǤΤܳФޤǵޤ
6̤ϸΤ褦ʴǤꤲƤä̵ʤΤ
轵ܳФޤǤȻפޤ
˭ԡ 720ڡ 0:22:39 MAIL:fttnm528@ybb.ne.jp 27878
ʸ
ǹͤȤפߤ򤷤ƤǤ͡

A<D<C<B5
A<C<D<B5
A<C=D<B10
A=C<D<B10
A=C<D=B10
A<C<D=B10

ä50̤

餱Ƥʤ=Ʊ⤢ʤ
A=D<C<B10
A=D=C<B10

70̤

5Ĥο4Ĥޤ3ġ2Ĥ٤ϼưŪ˷ޤȤäƷ׻®Ǥ
720ڡ 0:23:25 MAIL:kyorofumi@msn.com HomePage:ʸ27879
ޥ
Ǥ򤪤ƤߤޤǤ...ʥå­Ǥʴñˤ褦ȷƤΤǡȴƤޤ..˿ޤǤm(__)m

#27874
äΡ֥ݥȥ󥭥󥰤Ϫܡפν˥ߥäƤޤäƿޤ󡣤ˤƤʻ䤬ߥäƤȤ⡢ˣ̤äƤΤϥǤ
PowerBook G4 720ڡ 0:22:46 MAIL:masaru-y@sansu.org HomePage:27880
Melvy
ʤۤɡȤǤ
70 äΤǤȥåפˤ̾ФʤǼĤˤʤȤȤɬ˴ְ㤤õ򤷤Ƥޤ
˹ͤΤϤϤ ֺǹ⡦㤬ñȡ 20 Ǥ (׻ְ㤨Ƥޤ)50 ϻפĤޤǤ͡
720ڡ 0:23:30 HomePage:رMelvy27881
sugitakukun
#27880
餳ťƤβǽĤ֤褦򤷤Ƥߤޤ^^;

ơޥ뤵ĤäƤޤݥȥ󥭥󥰤ޤ
Ūˤϡƣפ󤬽פƤääΤƱΤǡǯ֡ʬʺ⽸׺ѤߡˤȾǯȤˤޤȤƤޤ
ɤ٤ˤʤäƤʤƤߤ

http://www.geocities.jp/sugitakukun/
720ڡ 0:35:10 27882
⡼ޥ
ޥ=ޥҥȥ⥨ĥ襷
ޥ=ȥ⥨=ޥҥĥ襷ˤʤޤ͡

ĥ襷2,3,4,5 ξ礷ͤʤΤǡ
2-1,1,1


3-2,2,2
-2,2,1
-2,1,1
3Ĥ+1=4ġ

4-3,3,3
-3,3,2
-3,3,1
-3,2,2
-3,2,1
-3,1,1
6Ĥ+4=10ġ

5-4,4,4
-4,4,3
-4,4,2
-4,4,1
-4,3,3
-4,3,2
-4,3,1
-4,2,2
-4,2,1
-4,1,1
10+10=20ġ

=1+4+10+20=35
ܤ顢2*35=70 ̤ꡣ

äȴñˤǤͽ
720ڡ 0:36:04 27883
Ҥ
󥭥󥰸ĺޤ
ǡ䤪ҤǤ̤ˤʤäȤʤΤˡ󥫥ȤƤޤ
ΥߥǤϡȻפΤǤ
720ڡ 0:37:54 27884
sugitakukun
#27884
äƤޤ裳Ǥ

ȤμƻΣȣФǤꤤޤ^^;
720ڡ 0:42:57 27885
tomh
#27882
餷! (^0^)

sugitakukun󡢤줫³ƤäƲ͡ (^.^)
ԡ 720ڡ 0:44:55 MAIL:tomh@yahoo.co.jp HomePage:H to M27886
fumio
ޤäʡϤϤϡ
720ڡ 0:51:28 27887
fumio
ݥȥ󥭥衪ǤȤޤ
Ǥ͡sugitakukun󡢤ФäƤ
720ڡ 1:07:35 27888
fumio
ݥȥ󥭥衪ǤȤޤ
Ǥ͡sugitakukun󡢤ФäƤ
720ڡ 1:08:49 27889
ӥ塼ƥե롼WITHॿɲ
ܤľǤ
򣲲⴪㤤ƤޤۤǤ
ӥ塼ƥ硡 720ڡ 1:29:11 27890
̥ʡ ֥꡼

ݤ߹ߤΤǡν񤭹ߤɤǤäƤФ餯𤷤ƤΤǤ
ɡȰʲΤ褦ˤʤǤ礦

ޥ뷯ޥҥȥ⥨ĥ襷 ʡֺǹȤ͡ס
ޥ뷯=ȥ⥨=ޥҥĥ襷 ʡֺǹϰͤϰͤȤϤʤס
ޥ뷯ȥ⥨=ޥҥ=ĥ襷 ʡֺϰͤǹϰͤȤϤʤס

ֺǹͤ͡ϡ5C4*2+5C3ᣲ̤
ֺǹ͡ʣϡ5C3*2+5C2ᣳ̤
ֺǹʣʥޥҥĥ襷ˡͤϡ5C3ᣱ̤
ֺǹʣʥޥҥĥ襷ˡʣϡ5C2ᣱ̤

ֺǹͤ͡ʤ飲̤
Ф
ƱDz̤ޤƱͥϴޤʤˤȣ̤
ƱͥޤƱDz̤ϴޤʤˤȣ̤
ƱͥƱDz̤ޤȣ̤

ʤߤ˻ϣ̤ꡢ̤ꡢ̤ꡢ̤ꡢɤäƤޤޤ

720ڡ 1:56:42 27891

ʡϡ˥󥸡äѤɤǤ
720ڡ 1:56:27 27892
uchinyan
ϤϤ褦ޤơǤ
餱ޤǤ⾡ޤפݥȤʤΤʡȤפޤäȤ͡
ϡơޥ뤵󤬣飱ޤDzǽʤȤդС
1 * 2 + (1 * 2 + 2 * 3) + (1 * 2 + 2 * 3 + 3 * 4) + (1 * 2 + 2 * 3 + 3 * 4 + 4 * 5)
= 2 + (2 + 6) + (2 + 6 + 12) + (2 + 6 + 12 + 20)
= 2 + 8 + 20 + 40
= 70 ̤
§Ȥ⤢ޤޤۤȤ餫ʤΤǤǤ礦
ȤƤϺĤʤΤǤƤΤʡ
#27892
ʡϡ˥󥸡äѤɤǤ
Ϥäȸ᤮ʤȤפޤΤˤʴ⤷Ƥޤ
ͥνȡ 720ڡ 9:27:09 MAIL:uchi@sco.bekkoame.ne.jp 27893
ޥ
#27892
> ʡϡ

Ϥι˼ʬȤҤääƤޤޤ...

#27893
> ȤƤϺĤʤΤǤƤΤʡ

..ƸСnȤȤΰ̲Ǥɡ⤵ۤ򤤤ΤǤϤʤǤꡢǯεϸꤷΤǤơϤ̲ΤǤ

ݤȤƤϡ󤬡֥ǥ⤫ФʤȲ򤱤ʤפäΤǡʻʿȤɸȤƻȤв򤱤ޤˡϡִñ꤫ĺȤв򤱤פˤ褦Ȥտޤäƺޤʤ櫓ǤäȵȴƤޤޤ...m(__)m
PowerBook G4 720ڡ 10:25:37 MAIL:masaru-y@sansu.org HomePage:27894
uchinyan
Ǽġɤߤޤ#27894˥ޥ뤵󤬽񤫤Ƥ褦ˡǼĤˤä򤽤äϤʤ褦Ǥ
Ǥ⡢ۡܦ ʤɡ

#27872
Ȥ櫓ǡȤꤢ70פޤm(__)m
ϡǽ֥ĥ襷ϥޥˤϾäפĤΤǤ
ʸϲȤˡ餱ƤʤᾡäפȤƤޤޤޤǤm(__)m
䤬ݥȤʤΤʡȻפäɽϡޥ뤵νߥäǤ
ΤˡդǤɽ񤷤Ǥ͡
ʤߤˡ־ޤפˤС
1 * 1 + (1 * 1 + 2 * 2) + (1 * 1 + 2 * 2 + 3 * 3) + (1 * 1 + 2 * 2 + 3 * 3 + 4 * 4)
= 1 + (1 + 4) + (1 + 4 + 9) + (1 + 4 + 9 + 16)
= 1 + 5 + 14 + 30
= 50 ̤
ޤޤ§Ƥޤ͡

ϡɤβǤɤäƿ뤫ޤޤɤФǤ롢ȤʤΤǡάޤ

ʤߤˡޤǤ⤴ͤǤ
#27894
䤤..ƸСnȤȤΰ̲Ǥɡ⤵ۤ򤤤ΤǤϤʤǤ

n ȤС(Ѥߤޤ󡣾ߥޤޤ)

餱ޤǤ⾡ޤפξ
ޥ뤵ϡ(n-1) 1 Ȥơޥ뤵 k ΤȤξο a(k)
a(k) = 1 * 2 + 2 * 3 + ... + (n-k) * (n-k+1) = [i=1,n-k] {i(i+1)} = [i=1,n-k] {i^2 + i}
= (n-k)(n-k+1)(2n-2k+1)/6 + (n-k)(n-k+1)/2
= (n-k)(n-k+1)(n-k+2)/3
= 2 * C(n-k+2,3)
ˤʤΤǡΤξο S ϡ෸δط C(n,r) = C(n-1,r-1) + C(n-1,r) Ȥä
S = [k=1,n-1] {a(k)} = [k=1,n-1] {2 * C(n-k+2,3)} = 2 * [k=1,n-1] C(n-k+2,3)
= 2 * (C(n+1,3) + C(n,3) + ... + C(5,3) + C(4,3) + C(3,3))
= 2 * (C(n+1,3) + C(n,3) + ... + C(5,3) + C(4,3) + C(4,4))
= 2 * (C(n+1,3) + C(n,3) + ... + C(5,3) + C(5,4))
= 2 * (C(n+1,3) + C(n,3) + ... + C(6,4))
= ...
= 2 * C(n+2,4) ̤
or
= (n+2)(n+1)n(n-1)/12 ̤

餱ޤǤޤפξ
ޥ뤵ϡ(n-1) 1 Ȥơޥ뤵 k ΤȤξο a(k)
a(k) = 1 * 1 + 2 * 2 + ... + (n-k) * (n-k) = [i=1,n-k] {i^2}
= (n-k)(n-k+1)(2n-2k+1)/6
ˤʤΤǡΤξο S ϡ
S = [k=1,n-1] {a(k)} = [k=1,n-1] {(n-k)(n-k+1)(2n-2k+1)/6}
= 1/6 * [k=1,n-1] {(k^2 - (2n+1)k+ n(n+1))(-1)(2k - (2n+1))}
= 1/6 * [k=1,n-1] {- 2 * k^3 + (6n+3) * k^2 - (2n(n+1) + (2n+1)^2) * k + n(n+1)(2n+1)}
= 1/6 * {- 2 * 1/4 * (n-1)^2 * n^2 + (6n+3) * 1/6 * (n-1)n(2n-1) - (2n(n+1) + (2n+1)^2) * 1/2 * (n-1)n + n(n+1)(2n+1) * (n-1)}
= 1/12 * n(n-1) * {- (n-1) * n + (2n+1) * (2n-1) - 2n(n+1) - (2n+1)^2 + 2(n+1)(2n+1)}
= 1/12 * n(n-1) * {- n(n-1) + 2n(2n+1) - 2n(n+1)}
= 1/12 * n^2 * (n-1) * (n+1) ̤
or
= 1/12 * n^2 * (n^2 - 1) ̤
or
= C(n^2,2)/6 ̤
(ɲ)
ñ˷׻äǤ餱ޤǤ⾡ޤפξ硢򤦤ޤȤȡ
1 * 2 + 2 * 3 + ... + (n-k) * (n-k+1) = {1 * 1 + 2 * 2 + ... + (n-k) * (n-k)} + {1 + 2 + ... + (n-k)}
1 * 1 + 2 * 2 + ... + (n-k) * (n-k) = {1 * 2 + 2 * 3 + ... + (n-k) * (n-k+1)} - {1 + 2 + ... + (n-k)}
= (n-k)(n-k+1)(n-k+2)/3 - (n-k)(n-k+1)/2
= 2 * C(n-k+2,3) - C(n-k+1,2)
ʤΤǡ
S = [k=1,n-1] {1 * 1 + 2 * 2 + ... + (n-k) * (n-k)} = [k=1,n-1] {2 * C(n-k+2,3) - C(n-k+1,2)}
= 2 * C(n+2,4) - {C(n,2) + C(n-1,2) + ... + C(4,2) + C(3,2) + C(2,2)}
= 2 * C(n+2,4) - {C(n,2) + C(n-1,2) + ... + C(4,2) + C(3,2) + C(3,3)}
= 2 * C(n+2,4) - {C(n,2) + C(n-1,2) + ... + C(4,2) + C(4,3)}
= ...
= 2 * C(n+2,4) - C(n+1,3)
= C(n+2,4) + C(n+1,3) + C(n+1,4) - C(n+1,3)
= C(n+2,4) + C(n+1,4)
= (n+2)(n+1)n(n-1)/24 + (n+1)n(n-1)(n-2)/24
= (n+1)n(n-1){(n+2) + (n-2)}/24
= 1/12 * n^2 * (n+1) * (n-1)
Ȥʤꡢη׻㴳Ǥڤˤʤޤ
(ɲý)

줾졢n = 5 κξˤϡ
餱ޤǤ⾡ޤס(5+2)(5+1)5(5-1)/12 = 7 * 6 * 5 * 4 / 12 = 70 ̤
餱ޤǤޤס1/12 * 5^2 * (5^2 - 1) = 1/12 * 25 * 24 = 50 ̤
ǡפޤ

ʤ̤μ򸫤Ƥȡ
餱ޤǤ⾡ޤס2 * 7C4 ̤
餱ޤǤޤס1/6 * (5^2)C2 ̤
ʤΤǡ칩פǤʴ⤹ΤǤ˲򤤤ȤʤΤʡ
ޥ뤵󡩡
ͥνȡ 720ڡ 15:50:51 MAIL:uchi@sco.bekkoame.ne.jp 27895
⡼ޥ
Ȥơ
ʸϤ顢֥ޥҥĥ襷פ֥ȥ⥨ĥ襷פβǽ錄ˤɤ߼ޤǤ
äѤꡢɲ­(^^;

720ڡ 12:48:00 27896

ĥ襷ȥޥκǾʬޤ

ΥƥȤξ硢

kΤȤϡ
ĥ襷aΤȤϡ
ޥ(ak)1̤
ȥ⥨(ak)(a1)Ρ̤
ޥҥ(ak)aΡ(1)̤
ĥ襷aϡ(1)ޤǤ(nk)̤
äƺkΤȤϡ1k(1)(nk)k(1)(nk)̤

kϡ1(n1)ޤǤʤΤǡƤξοϡ

[i=1,n-1]{k(1)(nk)}(1)(n1)(2)/12 (̤)

̤ϡuchinyanƱʤΤǡͤOKʡ

720ڡ 15:34:56 27897
ϥ饮㡼ƥ
ۤǤ椬­Ƨ߾ʤȤ
ѥưƥץDz򤭤ޤ

ܸä񤷤
̶彣 720ڡ 15:43:01 HomePage:ĩ27898
uchinyan
#27897
ƱˤʤޤΤ⤢äƤ褦Ǥ褫ä ^^/
ͤϡΤȤϾ㤤ޤȻפޤ
¿ʬ#27877ƱǤ͡

ʤߤˡιͤϡ⡼ޥ󤵤#27883΢֤Τ褦ʴǡޥ뤵١ˤơ
ĥ襷ȥ⥨ޥ롡ĥ襷ޥҥޥ롡
ʤΤǡɬޥҥξοȥ⥨ξο礭ʤ뤳Ȥܤơ
ޥ뤵󤬣ΤȤ
ĥ襷ǡȥ⥨ϣ̤ꡢޥҥϣ̤
ޥ뤵󤬣ΤȤ
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
ޥ뤵󤬣ΤȤ
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
ޥ뤵󤬣ΤȤ
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
ĥ襷ΤȤȥ⥨ϣ̤ꡢޥҥϣ̤
Ȥޤܤξʬϡɡĥ襷ȥޥ뤵ܤƤΤƱǤ

餱ޤǤޤפξ(ΤȤϡޥҥξοȥ⥨ξο)̲⡢ۤȤ餫Ȼפޤ
ͥνȡ 720ڡ 16:37:02 MAIL:uchi@sco.bekkoame.ne.jp 27899
???
Sub Macro1()
Cells(1, 1).Value = 0
Dim A As Integer 'ޥ뤵֤󡢤ޤͤκ...
Dim B As Integer 'ĥ襷֤äȣͤκǹȤ줿衪
Dim C As Integer 'ȥ⥨֥ĥ襷ˤ餱
Dim D As Integer 'ޥҥ֥ޥ뤵ˤ餱ޤǤ
For A = 1 To 5
For B = A To 5
For C = A To B - 1
For D = A To B
Cells(1, 1).Value = Cells(1, 1).Value + 1
Cells(Cells(1, 1).Value, 2).Value = A
Cells(Cells(1, 1).Value, 3).Value = B
Cells(Cells(1, 1).Value, 4).Value = C
Cells(Cells(1, 1).Value, 5).Value = D
Next D
Next C
Next B
Next A
End Sub
720ڡ 16:44:27 27900
DrK
ñǤñ˺1ŤĤˤƤޤä24äƤޤޤ
ˤĤƤϡ
ĥ襷ޥҥȥ⥨ޥ

ĥ襷ȥ⥨ޥҥޥ
Υѥ󤬹ͤޤ
ս꤬1սξ5C2=10
ս꤬2սξ5C3=10
3սꤢ5C4=5
1սξϤ줾ξ1ѥ
2սξ2ѥ
3սξ1ѥʤΤ
2(5C2+25C3+5C4)=2(10+210+5)=235=70
٤Ͼγڱࡡ 720ڡ 18:23:05 MAIL:satoka@star.odn.ne.jp 27901
DrK
ݥȥ󥭥󥰤ǤؤɥݥȤϤʤʤȻפäƤΤǤճ¿äΤ˶äޤ
٤Ͼγڱࡡ 720ڡ 18:37:04 MAIL:satoka@star.odn.ne.jp 27902
uchinyan
#27901
ʤۤɡΤˡβˡϡ֤ޤΤᡢʷdzĥ⤯ʤäƤȻפޤ
̤ξǤƱͤǡ
2 * (C(n,2) + 2 * C(n,3) + C(n,4))
= 2 * (C(n,2) + C(n,3) + C(n,3) + C(n,4))
= 2 * (C(n+1,3) + C(n+1,4))
= 2 * C(n+2,4) ̤

ʤ餱ޤǤޤפξϡ
ĥ襷ޥҥȥ⥨ޥ

ĥ襷ȥ⥨ޥҥޥ
ˤʤΤǡǽȤϰäơܤǤϡ
սξΥѥϤʤ
սξϣѥ
սξϣѥ
Ȥʤꡢ
(C(n,2) + 2 * C(n,3) + C(n,4)) + (C(n,3) + C(n,4))
= C(n+2,4) + C(n+1,4)
= 1/12 * n^2 * (n+1) * (n-1) ̤
Ȥʤޤ
ͥνȡ 720ڡ 21:28:54 MAIL:uchi@sco.bekkoame.ne.jp 27903

ꡡ߼NĤäƤNѷȤȤʤΤϤɤξ礫ޤƤNѷξ硡ά;򤬤ޤƽ񤱤ʤĤäƤʬǾɡ⤦˺ä
720ڡ 23:18:34 27904
⡼ޥ
#27904
>ꡡ߼NĤäƤNѷȤȤʤΤϤɤξ礫ޤƤ

⤷äΤǥ󥸤Ƥߤޤ

ƱΤФƤʤʱˡ٤СˤǤ뻰ѷʬ롣ĤޤꡢܤƱΤǤǤ̣γѷѺ硣
ΤȤΤξ硢ĺбդȤǤǤ뻰ѷѤϡ餫ˤλѷĺդؤοߤ濴̤Ȥ硣Ϥ٤ƤĺǸΤǡγѷˤʤ롣
Τξ硢ƱĺȤդǤǤ뻰ѷѤϡĺդؤοߤľ¤λǤ뤬Ʊդбĺ2Ĥ롣21鷺ΥƤФ褤ΥʤۤѤ礭ˤդˤ2ǤǤդб2ϺǽդʤΤǡդεΥΥ줿2ξ礬ΤϤϤɤդˤƤΤǡɤΥڥˤʤƱΤȤʤꡢϤγѷ

錄ξ硢̤ͤ롦ʥХȤʤΤˡ(^^;
721ʶ 8:24:57 27905

䥹⡼ޥ󤵤󡡤
721ʶ 8:56:44 27906
uchinyan
2 * 7C4 ľŪȤʬޤ ^^;

#27901Ʊͤˡʡͤޤ
ĥ襷ޥҥȥ⥨ޥ

ĥ襷ȥ⥨ޥҥޥ
ĤΩʤΤǡ̡˹ͤOKǤǡޤϡǽǤ
ĥ襷ޥҥȥ⥨ޥ
Фơ
ĥ襷ܣޥҥܣȥ⥨ܣޥܣ
ȤѴͤޤȡϡƱΤκ㣱
ĥ襷ܣޥҥܣȥ⥨ܣޥܣ
ȤʤäƤޤ
դˡͤĤοäƤС礭顢ݣݣݣݣȤСǽޤ
ĤޤꡢѴˤäơĤϡабޤǡοʤޤ
Ѵˤοϡᣵܣοȹ礻ʤΤǡ7C4 ˤʤޤ
ǡǽξο⡢7C4 ˤʤޤ
ˡ
ĥ襷ȥ⥨ޥҥޥ
Ǥϡ
ĥ襷ܣޥҥܣȥ⥨ܣޥܣ
ȤѴͤƱȤơϤꡢ7C4 ˤʤޤ
ɡĤξפơϡ2 * 7C4 = 2 * 35 = 70 ̤ˤʤޤ

餱ޤǤޤפξƱͤǡ
ĥ襷ޥҥȥ⥨ޥ

ĥ襷ȥ⥨ޥҥޥ
ǤǽƱ 7C4ܤϡ
ĥ襷ܣޥҥܣȥ⥨ܣޥܣ
ȤѴͤƱȤơ6C4 ˤʤޤ
ɡĤξפơϡ7C4 + 6C4 = 35 + 15 = 50 ̤ˤʤޤ

̤ΣξƱǡ
餱ޤǤ⾡ޤפξϡ2 * C(n+2,4) ̤
餱ޤǤޤפξϡC(n+2,4) + C(n+1,4) ̤
ˤʤޤ
ͥνȡ 721ʶ 9:24:23 MAIL:uchi@sco.bekkoame.ne.jp 27907
uchinyan
#27905, #27906
ʤ褯ʬʤʤȤ⡢⤦٤ɬפȻפޤ

ƱΤФƤʤʱˡ٤СˤǤ뻰ѷʬ롣
ĤޤꡢܤƱΤǤǤ̣γѷѺ硣
ޤǤϡȤʬ뤷ΰ̣ǤȻפޤ
ܤƱΤФʤϡηФʤä򡢷Ф줿˴ؤȿ¦ˤȷФʤʤΤǡ
դ򺹤ƤޤޤΤϡ̾ϡγѷȤϸʤΤǤϤʤʡȤפޤ
ĤޤꡢͤʤƤ⤤ΤǤϤʤʡȤ⤷ޤ

䤽ΤȤΤξ硢ĺбդȤǤǤ뻰ѷѤϡ
ޤ̤ΣγѷˤĤƤΡաפΤˤƤǤ礦ޤϤȤơ
餫ˤλѷĺդؤοߤ濴̤Ȥ硣
ĿŪˤϡޤ餫ǤϤʤǤ
ޤλѷι⤵ФդĹϡѤޤ͡ϤɤͤΤǤ礦
¿ʬդĹȤФϰϤǺ硢ȤȤǤ礦
ǡξˡäȤˤʤꤽΤϡޤǤϤ褵Ǥ餫פȸڤΤʡȿۡ
䤳Ϥ٤ƤĺǸΤǡγѷˤʤ롣
ƤǤĺդѷѤˤʤСγѷѤˤʤΤϡ餫פǤ礦
ʤȤפΤǤϡ

Τξ硢ƱĺȤդǤǤ뻰ѷѤϡ
䤽ĺդؤοߤľ¤λǤ뤬Ʊդбĺ2Ĥ롣
褯ʬʤߤľ¤˿ľϡߤǤ͡ä褦ʻѷäƤǤΤǤ礦
䤽21鷺ΥƤФ褤ΥʤۤѤ礭ˤդˤ2ǤǤդб2ϺǽդʤΤǡ
䤽դεΥΥ줿2ξ礬ΤϤ
ϡʬʤΤǡʬʤǤ
䤳ϤɤդˤƤΤǡɤΥڥˤʤƱΤȤʤꡢϤγѷ
⡢ʬʤΤǡʬʤǤ

ʬǤξϡγѷγդФ濴Ѥͤơsin¤Ѥɽ
濴Ѥ¤360٤ȤβǤСǤޤ
̩ˤʬȤإ٥äˤʤޤ
ʬݤˡĤѿʳȻפäʬȤƥ˥åȤС⹻٥ǤǤȻפޤ
ǧƤʤޤꥭ쥤ǤϤʤʡȤäޤ
(ɲ)
äꤷƤޤsin 򼨤ѤΤñǤ
ξΤˤϡʬʤɤȤȤˤʤȻפޤ
(ɲý)

ΰ̣ǡ޷ŪˤǤФ줷Ǥ͡
ͥνȡ 721ʶ 21:05:01 MAIL:uchi@sco.bekkoame.ne.jp 27908
⡼ޥ
#27908
uchinyanء
Ĥäߤ꤬Ȥޤ(^^)

Ĥλϡդбĺ1¸ߤޤ͡
դǹͤ⤵ϱߤ濴̤ľߤȸդбĺλˤʤ롣դξüб̤ΣĤդͤƤߤȡǽդбĺξ˱Ӥ룲ĤդǤꡢդбĺǽդξüˤʤΤǡޤäƤơߤ濴դ˿򲼤ƤǤ룲ĤιƱľѻѷǤƤȤˤʤꡢĤޤϡդ٤ѷˤʤ롣

ĤξϡĤο޷2Ȥ߹碌ơ餬Ǥʤʤ褦ˤȺѤˤʤޤ͡
4Ĥξϡгľ򤹤Ȥߤ濴ǤǤ4ĤλѷѤιפˤʤΤ餫ʤΤǡ٤ƤζĤξγѷλȤ뤫ʡ

äΤ˿޷Ū˸ʤΤʡ
ʼʬǤŤʤʬǾλʤƤΤǤϤʤȡ(^^;
721ʶ 14:40:20 27909
Melvy
ȯƤޤ

ޤδ˴ؤ餺N-1 Ĥϴ֤ƤȤȡĤ 1 ưȤѤѤΤϤξ٤ȷФ줿ѷʬǤ͡ȡ 1 ξ٤ȵΥ褦֤Ȥ (⤵ˤʤΤ) Ѥˤʤޤ (*)

ˡΤȤդޤ N-2 ꤵ졤٤礦 2 ꤵƤʤͤޤȡΤΤɤ餫ˤĤ ξ٤ȵΥ ֤ǤʤȤȡ(*) ˤꤳλͳѷʬѺǤʤȤˤʤޤ 2 ưȤɤѺˤʤ 2 ΰ֤ȹ礻Τ餫Ǥ顤Ϥ 2 ˴ؤξ٤εΥ줾Ȥˤʤޤ

򷫤֤Ƥȡ٤Ƥֳ֤¤ǤȸȻפޤǤ礦
722ڡ 1:16:07 HomePage:رMelvy27910
⡼ޥ
#27910
Melvyء

ʤۤɡ
ץޡȤǤ͡
յǼˡʡˤߤʹͤǤ͡OrZ
722ڡ 8:27:58 27911
uchinyan
#27910ʤ
ˡϡ餫פȤƵ뤫̯ʤǤ
ֻפ˥󥸤ηǼĤȤǤϡ
¿ʬʤдȤäƤ⤤ΤȻפޤ ^^
ͥνȡ 722ڡ 14:18:45 MAIL:uchi@sco.bekkoame.ne.jp 27912
粬ҹ
פ֤ޤϹ˥󥸤äݤäǤ͡ʡ
ȤʤƱȤΤƬˤʤơʡ
ƾ
Уܡʣܣˡܡʣܣܣˡܡʣܣܣܣˡѡߣ᣷
ʴǤޤ¤Ѥ꤫ʤȻפޤʡ
726ʿ 19:32:55 MAIL:toshi009@land.hokuriku.ne.jp 27913