Gou
סΥꥢ륿Ǥλá
Ȥޤġ
1221ڡ 0:07:08 28869
ڼ
־꤫ʡ
ʤɤȹͤƤơ٤줿ʵ
͡ 1221ڡ 0:08:22 MAIL:iida@ae.keio.ac.jp 28870
ʸ
Ф
1221ڡ 0:12:24 28872
ʸ
ޥ뤵󡢤ˤʤޤ
1221ڡ 0:13:07 28873

ޥ뤵ˡ٤Ҥޤ
1221ڡ 0:14:01 28874
ݤ
ޥ뤵줿褦ܽ٤ܽ٤
Ϥϼߤޤޤ󡣤ޤäޤä
Ǥϡޤ褦
äѤ餤ŷ񡡡 1221ڡ 0:21:33 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ28875
o
ܸϮޤ orz
1221ڡ 0:24:27 28876
orz
ñäΤˡ
1221ڡ 0:25:38 28877
orz
⤦ܳŪʻ꤬ʡ
1221ڡ 0:26:49 28878
㡼ߡ
̤Ĵ٤Ф褫äΤˡͤǤޤޤ
եܥʥåι꤬Τǡ
𡡡 1221ڡ 0:34:09 MAIL:ojamaru@amber.plala.or.jp 28879
ߤ
ݤʤɡɻԺǡǤǤΤ򤤤ȤˡԤ
ŬǤڤäƣǤä줿

ĤפΤǤηǼĤDzźդǤ褦ˤϤǤʤ
ΤǤ礦޷βˡʤɡ񤭤ΤźդǤ餤Ȼפ
Ǥ
1221ڡ 0:40:56 28880
sugitakukun
˺ƽ٤줿orz

ʤȤɻԺǤ
ϻȤ鷺ŻǤäƤޤɡʤ

α˲ŹޤƤΤڤƤߤޤ
ܣ˻ԣӶ衡 1221ڡ 1:09:11 MAIL:sugitakuunikun@msn.com HomePage:White Shadow28881
⡼ޥ
1,1,2,3,5,8,13,21,34,55,89 줫顢
4,10,14,24,38,62,100 ɤƳФ褤Τʤ
錄ϡx,x,2x,3x,5x,8x,13x,21x,34x,55x,89x ޤǤǡ5x=100 顢x=20 ʤΤǡ20,20,40,60,100 ȻפäƤޤ
x,y,x+y,x+2y,2x+3y,3x+5y,5x+8y,8x+13y,13x+21y,21x+34y ǡ
5x+8y ʤ顢x=4,y=10 ʤ顢100 ˤǤʤäơ
錄Ժ(^^;
1221ڡ 1:17:06 28882
tomh
֤˥ĥĤȡ

(1)
100

(2)
M 0

(3)
100-M 0
100 M
100 M 0

(4)
M-(100-M) = 2M-100 0
M 50
100 M 50

(5)
100-M-(2M-100) = 200-3M 0
200/3 = 66+2/3 M
66 M 50

(6)
2M-100-(200-3M) = 5M-300 0
M 60
66 M 60

(7)
200-3M-(5M-300) = 500-8M 0
125/2 = 62+1/2 M
62 M 60

(8)
5M-300-(500-8M) = 13M-800 0
M 800/13 = 61+7/13
M = 62

ˤƤ⡢9ܤˤǤʤ.
ԡ 1221ڡ 1:32:13 MAIL:tomh@yahoo.co.jp HomePage:H to M28883
maverick
ܤä᤿飲ǤȻפäƤΥڡ򳫤ƿƬǻԺƤߤޤ򤱤Ƥޤޤ̲ʤʤޤɤ褤Ǥ礦
1221ڡ 2:51:46 MAIL:tetsuji_rai@yahoo.co.jp 28885
ޥ
޵𤷤ޤۤɤޤǻŻƤޤơ(^^;

äȴñʡȻפĤġĶĶĶ¿˻ʤˡʺϤۤܣȤǤ...ȥåʬǤʤʤǽ뤿ᡢ֤ޤñɤפȤȤǤŶƤνȤʤäƤޤޤm(__)m
iMac 1221ڡ 3:16:17 MAIL:masaru-y@sansu.org HomePage:28886
ʤ
ʤʤȤʤΤˤ
ߡʢ壵ݣˡࣲ⣶
̹񡡡 1221ڡ 4:43:30 MAIL:naka@sansu.org HomePage:naka's Home Page28887

ܤˤĿȤȡܤˣݣ
ݣݣݣݣݣȤ뤢̤ޤꡢ
棱ݣ棲ݣ棲ݣ棵ݣ棵ݣx棱ݣ
Ǥ¿ߤ褦ʣФΤǡ˺ü򤤤Ƥ
壱棵壶ġ棶壶ġ
棶ĤޤǡʣܤޤǡˤΩ᣶
Σ壶ĤϾ򣶣ȿΤǡܤοͤϤ̤館ʤ
äƺϣܤޤǤǤΤȤΤ̤ϣ
äȤ̤ѰդƤ͡󥿤󡪡
1221ڡ 4:58:03 28892
uchinyan
ϤϤ褦ޤޤϡޥ뤵󤬤ʤ줿褦DzǤ ^^
ơǤ֥ϥϥפȤǡեܥʥå٤礦桢桢Ǥ͡
äȤ⡢򤯤ΤˤɬפʤɤʤŦʤäƤȻפΤǾάޤ
ˡǤ⡢򸫤Ȥä륹ΤȤۤȤƱǤ
x >= 0, 100 - x >= 0, 2x - 100 => 0, 200 - 3x >= 0, 5x - 300 >= 0, 500 - 8x >= 0, 13x - 800 >= 0, 1300 - 21x >= 0, ...
缡򤤤ƤäơȤʤ x ¸ߤޤ줬62 Ǥ
äơǤϤʤǤ͡ޡ (^^;
ԸʿʬǤϡߤǼʤʤ
ͥνȡ 1221ڡ 9:07:27 MAIL:uchi@sco.bekkoame.ne.jp 28893
ϥ饮㡼ƥ
Ϥ褦ޤ
ץǤMATLABǤ
1221ڡ 9:17:23 HomePage:湩ؤĩ28894
uchinyan
ǼĤɤߤޤޤꤳȤäϤʤ褦Ǥ

䤵ơǤ֥ϥϥפȤǡեܥʥå٤礦桢桢Ǥ͡
äŪ˽Ҥ٤ƤʤäΤϾʳǤޤˤ餫餫ʡ
ܤ˽񤯤ȹ⹻ؤˤʤäƤޤޤȽ뤫⤷ޤ󤬡ݥȤ񤤤Ƥޤ礦
ޤǤ⡢͡Դ֤ϳǼͳäƤ (^^;

ϡn ܤۤ뤢̤θĿ a(n) ĤȤȡ
a(1) = p = 100, a(2) = q
a(n) = (-1)^(n-1) * f(n-1) * p + (-1)^n * f(n) * q
ˤʤäƤޤf(n) ϡ
f(n) = f(n-1) + f(n-2), f(0) = 1, f(1) = 0
Ǥf(2) = 1, f(3) = 1 ʤΤǡʹߤϡեܥʥåǤ
ơǤϡa(n) >= 0 Ȥʤ n Ȥʤ q 櫓Ǥ
a(n) >= 0 ϡn = 2k, 2k+1 ʤɤɤơ
f(2k-1)/f(2k) * p <= q <= f(2k)/f(2k+1) * p
ǤΥơp/q Ȥȡ
f(2k+1)/f(2k) <= p/q <= f(2k)/f(2k-1)
ǡn -> 硢Ĥޤꡢk -> Ȥȡ
p/q -> f(n)/f(n-1) -> (sqrt(5) + 1)/2
ˤʤޤǤϡ
q -> (sqrt(5) - 1)/2 * p 0.61803 * 100 = 61.803 62
Ǥ͡

äȤ⡢ºݤˤϡq ϰϤ̣褦 q ֤Ȥˤʤޤ
򤯾Ǥϡ嵭ΤȤɬפޤ
ͥνȡ 1221ڡ 12:11:37 MAIL:uchi@sco.bekkoame.ne.jp 28895
10ڥꥫ1
أǯ
ˤϤǤऺä
1221ڡ 16:07:54 28896
ʸ
˺Ƥޤ
񤭽Фʤ̵ʤʡ
եܥʥå󤬽ФΤǰ̹Τʤäɽʤä
ȤǤ褦Ǥ͡
Ǥʤۤɡ
1221ڡ 22:25:07 MAIL:kyorofumi@msn.com HomePage:ʸ28897
yurie
Ǥ
ñǤ͡
ھǤ
1223ڡ 14:52:07 28898
Ҷ˥ޥ
ΤϤҤ֤ǤϴñǤϳڤΤ轵äƤޡǤ⡢⤦1ʤΤǤĤޤǡֻפäƤ뤳Ȥ顦ޤ()
26⡡ 1224 15:25:32 28899
Ҷ˥ޥ
轵ϱ⡦(3轵äƤޤ)
26⡡ 1224 15:32:07 28900
Ѥ
ŪȻפΤǤ
ƨƤޤޤ
򤤤ץȤǤߤΤǤ
ܤޤǤۤʤǤ
ľȣͤۤۤ줽ʵǤ
ܤ襤Ǥ
Ĥޤդ޸ 1224 21:01:32 HomePage:ʥڡ28901

ꡧ⤦Ĥ꾯ʤǯȤȤǤߤ֤ˣ¤٤ޤοϹʤ褦¤٤ƤǤȤʤꤢϢ³ƤϤޤ󡣤ǤϡΤߤΤ˺㲿ܤβɬפǤ礦
1225ʷ 22:30:08 28902
LL
2007ǯϤ줫äƤΤǤ
1225ʷ 23:19:52 28903

ޤ󡣤⤦δְ㤨Ǥ
1226ʲС 10:50:12 28904
⡼ޥ
#28902
ߤ
1~2007 ޤǤΥߥ˲٤礦ˤʤʤ褦ˤФΤʤ顢4ĤοʤԲǽǡ1,2,3,4 ʤ顢3,1,4,2 ǡΤȤϡ1-2,2-3,3-4 3ܡ
1,2,3,4,5 ʤ顢Τޤޤǡ3,1,4,2,5 ǡϣˡ
1,2,3,4,5,6 ʤ顢4-5,5-6 С3,1,5,2,6,4 ǣϣˡ
1,2,3,4,5,6,7 ʤ餽Τޤޤǣϣˡ1~8 ʤ顢ޤ2䤹η֤ǡ(2006-4)/2=1001 顢3+1001*2=2005 ܤФΤʡ
2007 ϡ٤ȤβפʤϤ顦
դɤߴְäƤ뤫ʡ(^^;

ȡ2007/5=4012 ʤΤǡ3*401+2=1205 Ǥ褵ʡ
øʤȤǡ

ǽ鲣ʤƤ⤤Τǡ(2007-1)/5=4011
ξ⡢3*401+2=1205 ˤʤ뤫ʡ

1226ʲС 21:59:24 28905

ߡޥ󤵤󤪤ǸΤҤȤҤͤǤ
1227ʿ 10:52:44 28906

ޤ̾ޤäƤޤʤߤ˺Σ񤤤Ƥޤ
1227ʿ 10:59:49 28907
⡼ޥ
#28902
ߡޥ󤳤ȥ⡼ޥǤä(^^;
(2007-1)/5=4011
顢Ǹϡ5ĤΤȤͤơ4ܤǤ
ɡ3*401+1=1204 ܡʢ
1227ʿ 13:41:32 28909

ߤȡ⡼ޥ󤵤٤Τ򤤤ƤƤ꤬Ȥޤ
1227ʿ 14:48:08 28910
uchinyan
礵ءCC:⡼ޥ󤵤
ߤꡢɤߤޤǤ
1204ܤDzǽʤΤOKǤǾʤΤ餫ʤΤǤ
ͥνȡ 1227ʿ 18:35:06 MAIL:uchi@sco.bekkoame.ne.jp 28911
⡼ޥ
#28911
ʤƤΤǤ¿ͤФ褤Ϥǡ
Ǿñ̤4ܤǡʾñ(4+x)xܤ롣
2007/(4+x+1)*(3+x)=2007*(3+x)/(5+x)
(3+x)/(5+x)>3/5
1227ʿ 20:00:35 28912

أǯǤϤĤĤäƤߤޤǤǤäƤʤΤʡʤäȴñˡ˼ĥäȴñˡä鶵ơ(T_T)
1227ʿ 20:36:21 28913

⤦٤Ƥ餤ޤڥꥫ1ߤäѤ񤷤Ǥ͡(;O;)
1227ʿ 20:40:25 28914
uchinyan
#28912
Ǿñ̤4ܤǡʾñ(4+x)xܤ롣
ȤʤäꤿʬΤǤԥȤʤ
5ܤΤȤϲ3ܤǺѤफ顢xܤפΤǤ礦
Ȥ⡢5+x δְ㤤ʡȤƤ⡢xܤפ餫ʤΤǤ礦
Τˤ줬С(3+x)/(5+x) > 3/5 餫ǡޤǤ͡
ͥνȡ 1227ʿ 21:14:09 MAIL:uchi@sco.bekkoame.ne.jp 28915
⡼ޥ
#28915
Ǿñ̤4ܤǡʾñ(4+x)xܤ롣
䲿ȤʤäꤿʬΤǤԥȤʤ
5ܤΤȤϲ3ܤǺѤफ顢xܤפΤǤ礦

βÿϡߥȤΥߥ1ʬΤϤ顢xܥߥxܤβȹͤޤ
4+x ܤΥߥμΥߥϷФȤϣˤ顢2007 (4+x+1)=(5+x) ñ̤dzäΤˡο (3+x) ݤΤοˤʤȹͤơ
ȤƤ⡢xܤפ餫ʤΤǤ礦
5+x ܤΥߥξ硢ü 4+x ܤΥߥǤϡ 3+x ܤβɬפΤϤϡɤǼˡǤǤ礦褯ʬޤ(^^;

礵󡢤ʤǤ礦ʤȡꤲʤääꤷƤޤ(^^)
1227ʿ 21:47:47 28916
uchinyan
βÿϡߥȤΥߥ1ʬΤϤ顢

Τߤοߤο³Ƥʤäɬפʤ
Τߤοߤο³ƤǤҤä֤Ƥ⤽Ǥϰ̣ʤ
ñˤΤǤ礦
ͥνȡ 1227ʿ 22:31:17 MAIL:uchi@sco.bekkoame.ne.jp 28917

ޤĴ٤ޤܤİʾǤ⣵ܤİʲǤ⣵ܤΤȤ¿ʤäƤޤޤ⤷顢äȾʤǤΤ⤷ޤ󡣤⤷꾯ʤܿߤĤä鶵Ƥ館ޤ󤫡
1227ʿ 22:34:44 28918
⡼ޥ
#28917
䤽Τߤοߤο³Ƥʤäɬפʤ

Ǿñ̤ߥ4ܰʾξͤƤޤ顢Ϥʤ櫓Ǥ
䤽Τߤοߤο³ƤǤҤä֤Ƥ⤽Ǥϰ̣ʤ

ޤǤΥߥƱΤˤϺ1ܤʤΤǡߥΥߥοߥοȤɬۤʤäƤϤȻפޤ

#28918
ޤĴ٤ޤ
3ʲǤ̵顢6ʾĴ٤ФΤǤϡ
1227ʿ 22:48:32 28919

ȸäƤѤ⤷ޤ󤬡ͤιͤϤޤסʲ˹ԤˤΤޤ޲˹Ԥˤ¿ǤФܿޤ˶ڤˤĤơܤĶڤä硢פ򤤤줿ɬȤʤ꤬Ϣ³ƤޤޤܤĤξ硢ֱοפˤƣܤǹͤк㣳ܤǣ򤽤Τޤ޲ȣ̤Ĥ뤳ȤǤޤȣ;äƤޤΤǣ̤ˤƺǸܤǹͤޤΤȤפˤʤäƤΤǣפˤϤǤޤ󡣤ǣפˤƻĤΣܤϺ㣴ܤǤǤޤ׻ȣܣᣱܤˤʤޤʤ褦ˣܤĤǹͤȣܡܤĤȣܤƤäƤޤΤǺǾϣܤĶڤäܤȻפޤ
1227ʿ 23:04:57 28920

ʤߤˡͤιͤμϡʣݣˡڤܿ
ʶڤܿˡܻĤξĴǤ
1227ʿ 23:15:26 28921

줫Ĵ٤Ƥߤޤʹߤϣιͤ;ʬʲƤʤΤǤϤ꣱ܤǤäƤΤǤϤʤǤ礦
1227ʿ 23:24:42 28922