baLLjugglermoka
5Ĥο­55ֿ֤Ƥ()
322ڡ 0:13:31 47100
٥륯åĥ
420ǹͤơ210+105+60+30+15420򸫤Ĥä2+4+14+2844
ǽ307餢Ĥ210ǤäΤ420Ǥޤ
123
420210140
ʴǽ񤤤õΤǤäȤʤͤƤߤޤ
322ڡ 0:19:47 47101
ǯ
ľǤ
ܣܣ ϡϣܿʬȤʬҤιפܿõޤ᣷ߣᣱ᣷ߣᣲ
ǶᡢץȤñʬؤʬĴ٤ƤޤΤǡľǵޤ
ϡäơޤ­Ƥޤ̵̤ʻ֤䤷ޤ

322ڡ 1:11:56 47102
鯤ο
٤ơ11ʬ٤Dz򤭻Ϥޤ
30ꡢ1/+1/2/29
äơ1/1/160/2030.8
1/2+1/30.83...
ꡢ1/2+1/4ͤƤߤȡ1/+1/3/281/14+1/28
顢ƤΤǡ2+4+14+2848
//
322ڡ 0:29:55 47103
Sueh
Ϥ7ܿǤʤΤǡξʤȤ7ܿ
14, 21, 281/7Ȥεտ¤7ʬʤΤǡΤ7ܿ
1/14, 1/21, 1/28ʣ2Ĥ¡1/7򤹤٤ƹͤȡ
7ʬΤ1/7+1/14+1/28=1/4Τߡ
Ȥ3/41/6ʾ2Ĥñʬ¤ɽok.
ȤäȤǤ
322ڡ 0:43:55 47104
⡼ޥ
ƻˤޤ޵ޤޤ...ͤƤߤޤ...

1-(1/7+1/8+1/8)=1-1/7-1/4=17/28
so...
a=2

1/2-1/7=5/14
1/2+1/4+1/7+(5/14-1/4)
5/14-1/4=3/28=2/28+1/28=1/14+1/28
ߤˤФ褫ä...^^;
322ڡ 0:55:38 47105

ʤߤˡ̵硢ʤȤ߹碌ꤽǤ¤κͤ18552+3+43+1806ˤǤ͡¿ʬ
㣷ĥ䣷ʤβ̵Ǥ͡
322ڡ 1:03:40 47106
Sueh
򤭽Ƶ褯ƤΤǤ촰Ǥ͡
ĤнֻǤΤˡ
322ڡ 1:06:07 47107
ˤ⡼
ʬϡͤƤޤޤ
#47104Τ褦ˡȥΤɤ餫ܿǤ뤳Ȥ꤬ˤ
ͤƤäۤ褫äȻפäƤޤ

ȥ˶ᤱСȥ礭ʤȹͤ뤬
ȥϣ꾮ΤǡȥϾ夲ޤ
ᣲᣳξ硢ܣᣱȤʤꡢʤ
ᣲᣴξ硢ܣᣳȤʤ롣
ȥɤ餫ܿˤʤꡢޤ˥ᣱᣲĤä
322ڡ 1:31:38 47108
ǯ
¾˲򤬤ʤbasicĴ٤ޤ1ĤΤߡ2+4+14+28=48
FOR a=1 TO 5
FOR b=a+1 TO 6
FOR d=8 TO 29
FOR e=d+1 TO 30
IF b*7*d*e+a*7*d*e+a*b*d*e+a*b*7*e+a*b*7*d=a*b*7*e*d THEN PRINT a,b,d,e,a+b+d+e
NEXT E
NEXT D
NEXT B
NEXT A
END
322ڡ 1:50:11 47109
ϥ饮㡼ƥ
ץǤ

ȥۤʤȤθʤä
ޤäǤ

ʬοͷ׻Ǥ˴פ
ʤȤ˺Ƥޤ
322ڡ 4:23:06 HomePage:湩ؤ˥47110
ϥ饮㡼ƥ
ץǤ

ͷ׻Ǥ˴פʤȤ
˺Ƥޤ
322ڡ 4:27:27 HomePage:湩ؤ˥47111
(Keigei)
1/71/1/ ׻ʬ줬ܿˤʤäƤϤʤΤǡ
142128 ֤Ȥˤʤꡢ{}{1428}
ΤȤ1/1/3/4 顢{}{24} ˤʤꡢܥܥܥ48 Ǥ
322ڡ 5:32:32 47112

᥽ݥߥǤäʬʬҤ1οɽΤϡ
ΡᣱܣȤäͷΤפФޤ
Ϻꡡ 322ڡ 6:48:41 47113
̴
#47112 (Keigei)ͤβˡήФǤ͡
ϥȥȤ߹碌10Ĥ׻1/7
ФƤʬĤʬҤ1οʬʬȤ߹
Ƿ׻äȤ241428é夭ޤ

ٻΤ桡 322ڡ 7:20:38 47114
hrgn
MathematicaǤޤ

For[a = 2, a < 7, a++,
For[b = a, b < 7, b++,
For[c = 8, c < 30, c++,
For[d = c, d < 30, d++,
If[1/a + 1/b + 1/c + 1/d == 6/7,
ans = a + b + c + d]]]]];
ans
322ڡ 7:15:11 47115
ޤ
ּʬ˾׺®Ǥ(^^;

ᥪ᣸ȥᥪᣲǸʤäƤƻ˹ͤޤ

#47112 (Keigei)ޡʤۤɡ
#47107 SuehޡطʤʤǤ礦͡äȡ

ǡ
http://www.osaka-ue.ac.jp/zemi/nishiyama/math2010j/unitfraction_j.pdf
ʤ󤾤ͥåȤǽޤ¾ˤ⤤ΤǤ礦ɡ

Ĥ⡢餤ޤǺȴƤΤǤ
ϡ곰Ǥ(^^;

ο޷褦ȻפäƤΤǤ
ͤγΡּ̤ΰפ
Ҳ𤤤йӤǤޤ( )
ʤĤ黲äƤʤΤǤ
ΤܰʹߤΥϥǤޤ
somewhere in the world 322ڡ 8:57:10 47116
ä
Ǥ
1+2+3=61+2+4+7+14=28
ξդդοdz
1/6+1/3+1/2=11/28+1/14+1/7+1/4+1/2=1
顤ξդ496dzñʬ¤μǤޤ
1/496+1/248+1/124+1/62+1/31+1/16+1/8+1/4+1/2=1
322ڡ 10:03:18 47117
ä
Ǥ
1+2+3=61+2+4+7+14=28
ξդդοdz
1/6+1/3+1/2=11/28+1/14+1/7+1/4+1/2=1
顤ξդ496dzñʬ¤μǤޤ
1/496+1/248+1/124+1/62+1/31+1/16+1/8+1/4+1/2=1
322ڡ 10:04:27 47118
ϺĹ
ʥפäΤǡѤäޤ
Ǥ⺣ȸΤ˺Ƥ
322ڡ 10:36:48 47119

1/7 ȤݤʬΤǡ꾮ʬ¤ 1/4 ȤʤȹͤǤä夲ޤϿ٤ְ㤨ϤΤϤȡ
322ڡ 11:13:52 47120

1/7 ȤݤʬΤǡ꾮ʬ¤ 1/4 ȤʤȹͤǤä夲ޤϿ٤ְ㤨ϤΤϤȡ
322ڡ 11:31:55 47121
baLLjugglermoka
϶¿ǤδäƤޤ
322ڡ 12:10:09 47122
ä
ޤǤȯƤ봰ƶΤϤǤ
δȯꡤδ¸ߤʤȤǤХӥå˥塼ˤʤ
֤Ǥǿ꤬оҲ𤷤Ƥ
322ڡ 12:26:05 47123
dyslexia
ʤȤ˸¤ä ǰ
פϴäƤȤǤ
6,28,496餤ϳФƤޤ
Ǻ28 2,4,7,14,28 48
εդꡡ 322ڡ 15:30:00 47124
ֿء׾ι
Ĥλɤ졢ˤʤޤ
2,4,14,28 ƽ졢ʤˤʤˡ
­Τ2+4+14+28=50 Ȥƽ졢
ܣ᣸ȤƤΤ˵դäȡ()
322ڡ 17:27:39 47125
(Keigei)
ˤʤäƤޤε
https://blogs.yahoo.co.jp/oka_yadokary/38326805.html
322ڡ 18:20:54 47126
Ϸ
ǽ˥ȥĴ٤ޤ
κǾܿ⣳ʲΤΤϣȣȣǤ
ܣᣱݡʣܣܣ

ᣱܣʤΤ
ܣܣܣᣴȤʤޤ
323ʶ 8:51:23 MAIL:takaaki-k@aqr.bbiq.jp 47127
ֿء׾ι
wordpress Mathjax ץ饰󤷤Ʋ񤤤Ƥߤޤ
https://chafima.org/wp/2018/03/23/1052/
323ʶ 10:27:25 47128
Ѥ
ҤȤޤʣ£ӣɣäǡ
323ʶ 10:36:09 47129
cocogoo
7ǿǤΤǡ1/71/+1/77äʬˤʤʤФʤʤȤȤǡ14,28Ǥ뤳Ȥޤꡢꤢ2,4ޤޤ
323ʶ 10:47:12 47130
ߤ
פ֤褿褦ʵޤ

Ⱦüʣ򤦤ޤޤȤ᤿Τǡ
ĤȤäƤ줤ʿˤ뢪ܣܣᣱ
ĤΣᣱܣ

ʾꡢܣܣܣᣴ
323ʶ 17:08:43 47131
ä
ǤʤȤű󤷤ޤ
Ūˡ,,,,ϣΤǡ
++++=ΡΩĤȤξդΤdz
1/'+1/'+1/'+1/'+1/'ᣱȤʤꡤ',',',','ϣΤǤ
ξ硤ΤϣܿǤꡤ򣶸İʾģ̤οȤȤˤʤ
ġġĤǤꡡΡᣲ
14+7+4+2+1=28 ꡡ1/2+1/4+1/7+1/14+1/28=1
Ǥ뤿ᡤȤ񤭹ߤޤ
ΤǤñʬ¤ȤɽȤϲǽǤ
狼ϤޤΡᣴġˤξ
21+14+6+1=42ꡤ1/2+1/3+1/7+1/42=1
Ǥ򤪤ޤ
323ʶ 17:12:43 47132
ޥ
ǯ奪դǤ6/24ˤˤʤޤī⾾ԤηΤ񤤤˹Ԥθ˰ưư߲񡢤Ȥʤޤꤤޤ
MBP 331ڡ 19:06:51 HomePage:47133