٥륯åĥ
13dz1;
2ܤ23dzä;2
2ܤ4ǡ3dzä;1
ʲ12ߤ˽ФƤΤǡ1/3Ǥ
123ڡ 0:13:10 49816
kyorofumi
4x = x+n
x = n/3

X = 1/3
123ڡ 0:15:12 49817
鯤ο
2ʿɽ
0.010101....1/(2^2-1)1/3
ޤ
0.110101...1/3+1/25/6
123ڡ 0:17:54 49818
̻
۴ľ꡼Ǥ͡
123ڡ 0:20:10 49819
鯤ο
2ʿɽʤΤ˺/99ȤäƤޤְ㤤˵Ť򷫤֤ޤ
123ڡ 0:22:38 49820
⡼ޥ
2/3,8/3=2/3...ʲ4=8/3
4/3=1/3,16/3=1/3...ʲ4=4/3
ȤϤ狼뤱...
ʤΤɤ褯狼ʤäǤ...
ͤβˡǼ
5/6ȤƤ櫓ǤΤ ^^v
123ڡ 0:35:45 49821
ֿء׾ι
1/4̵¤ȽǤޤ
123ڡ 0:43:44 49822
٥륯åĥ
#49818
5/62ܤ2/3+1ˤˤʤꡢ01ξˤ礤ޤ͡ŤޤǤ
123ڡ 0:57:16 49823
٥륯åĥ
ǰΤᥦξˤĤƤɤʤΤͤƤߤޤϤ5/6Ǥ͡
2򤫤ʤ0󤫤פĤޤ󤫤Ȳ᤹ΤϤ̵ޤ
123ڡ 1:04:45 49824
ޥ
5/6¸ߡޤäŤƤޤǤ
iMac 123ڡ 1:24:01 HomePage:49825
鯤ο
#49824
¤ϡǽ0󤫤ͤơ0.0abcdȤơͤϤޤ
θ塢̤ϡ2ܤǷ夬ˤʤä㤦Ǥդȵդλϡǽ0󤫤ǹͤϤƤȤ˺Ƥޤ
123ڡ 1:24:51 49826
ɥȥ
2ĤäǤ͡
äȤ뤫ΤƤߤޤ
2/3ˤĤʤΤʬ줬3ζܤǤǤꡢ5/6ˤʤΤǡ
¿ʬ1/35/6Ǥ͡
123ڡ 7:38:40 49827
ˤ
۴ĤȻפäΤʬǹͤޤ1/3Ȥޤ
5/6⤢äΤǤ͡
123ڡ 8:13:42 49828

1/3,5/6äΤǤ̾Фޤ
123ڡ 8:45:08 49829
ߤ
ܤƾʥˤ˹礦Τϣȡġʤ
ܤƾʥˤ˹礦ΤϡʤˤϰϤǤϣ


ʹߤϽ۴ľdzȤ줤ʿ夯ΤǤϡȤ
ͽۤǧڤޤʣοͤ褦ս񤭤ʤΤǡ
򣰲󤫤ʣؤΤޤޡ˾ޤळȤȤޤ

Ȥ櫓ǡʸοؤξ
ʥˡ礭꾮
ϡ֣礭꾮פȤɬפޤ͡
123ڡ 11:20:38 49830

ʿǹͤФʤȤϻפäΤΤɤͤФΤ狼ʤä
ʬǹͤ4ܤʬˤʬʬƱˤʤȹͤ1/3ϻפĤޤ5/6Ϥ狼ʤä
123ڡ 13:42:19 49831
ޥ
#49829Jޥޤ
ߤޤ󡢽ޤm(__)m
Mac 123ڡ 14:59:24 HomePage:49832
ǯ
ʬҤ2^nܤʬdz;꤬nȤȤ˽۴Ĥ롣
⤷۴ĤʤС졢()()ξ狼鳰롣
ο2ܤaȤȡ
2ܤ2a1<2a<1.5
Τޤ2ܤϡ2<4a<3
4aξa
3a=2
a=2/3
οϡa/2뤤ϡ(1+a)/2
Τˡο=1/3뤤5/6
123ڡ 18:33:51 49833

칩礢򸫤褦ʵޤ
123ڡ 23:37:50 49834

#49832ޥ꤬͡Ȥޤm(_ _)m
124ʶ 1:01:29 49835
٥륯åĥ
2244-13ʤΤǡ1/32/3ߤ˽ФƤ롣
ο2ܤ2/3ξ1+2/3ξ礬ꡢοϤ줾1/35/6
ǤͤƤдñǤ

ޤ鯤οͤ2ˡִñdzμ¤ʤǤɤ͡Ǥ
125ڡ 1:57:22 49836
ɥȥ
#49818
2ˡá褦䤯Ǥޤ
1/4+1/16+1/64+1/256+ĤaȤȡ
4a1+1/4+1/16+1/64+1/256+ĤȤʤäơ
3a=1a=1/3ȤäǤǤ͡
¨̵µ¤2ˡɽʤΤǤ
1/(2^21)Ȥλ׹ͤ®ˤĤƤǤäƤޤޤ
βˡפĤΤǤ͡
125ڡ 11:34:31 49837
M
python1/xηʬ򸡺1/3Ϥ狼ޤ

import math
for i in range (1,10000):
list = []
num = 1/i
for t in range (1,20,2):
a = num*(2**t)
f, i = math.modf(a)
if 0.5 < f < 1:
list.append (a)
if len(list) == 10:
list=[]
for t in range (2,1002,2):
b = num*(2**t)
f, i = math.modf(b)
if 0.5 > f:
list.append (b)
if len(list) == 500:
print (num)
125ڡ 12:27:53 49838
ֿء׾ι
عۤ륿֥åȤΣףţ¥ե륿ǡi-filterȤΤ
äơΥȤˤĤƤϡΥڡϱǽʤΤǤǼĤ
Ȥ˻ߤ褦Ǥ
ʻҶˤϤɤɤȤǤۤΤ˻ǰǤ
125ڡ 13:04:10 49839
鯤ο
­ʤ顢2ʿɽˡ򤭤Ƚ񤤤Ƥޤ

ݥȤϡʲ
2ܽαưǤࡣ
0.5ȤӤ̤򸫤Ф狼뤳ȡ

Xʥˣ礭꾮
Ȥ顢X2ʿɽɽȡX0.abcd
(abcdϤ0or1ǡƤ0ǤϤʤ)

2Xa.bcdǤꡢʬϡ0.bcd
()ꡢ줬.礭꾮ʤ뤫顢b=1

4Xab.cdǤꡢʬϡ0.cd
()ꡢ줬礭.꾮ʤ뤫顢c0

֤ǡ
X=0.a101010

aǤդʤΤϡa=0ޤ1˱ơʲ2̤ꡣ
(a)X0=0.01010101/(2^2-1)1/3
(b)X1=0.11010101/3+1/25/6

X01/3ˤĤƤϡ4X01+X0ʤΤǤ
夬10ɽä顢1/991/(10^2-1)轵ǤäФʤΤǡ
2ɽʤ1/(2^2-1)ȹͤޤ

126 13:07:19 49840