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Topic: Is there any webpage or math program that can write fracitons,
numbers into bijective enumeration?

Replies: 68   Last Post: Apr 8, 2013 11:40 PM

 Messages: [ Previous | Next ]
 JT Posts: 1,448 Registered: 4/7/12
Re: Is there any webpage or math program that can write fracitons,
numbers into bijective enumeration?

Posted: Apr 7, 2013 6:16 AM

On 7 Apr, 11:25, KBH <emptyp...@hotmail.com> wrote:
> I meant this of course:
>
> 1:    3000
> 1/3:  1000
> 2/3:  2000
> 1/9:  0100
> 2/9:  0200
> 1/27: 0010
> 2/27: 0020
> 1/81: 0001
> 2/81: 0002
>
> 3/9: 0300 -> 1000
> 3/27: 0030 -> 0100
> 3/81: 0003 -> 0010

I have no idea what you are on about but in NyaN (and here i assume
3/9=.(1)3 that is 1/3=.1 you find that strange why? 3/9=1/3 but it is
not the same expression.

NyaN is zeroless so you can remove empty brackets.

So what is your question? Do you ask me if 3/9 -> .(1)3 have same
magnitude as 1/3 -> .1 in ternary, yes of course it has but the sizes
and partitioning of the collection is different. I guess you did draw
3/9 vs 1/3 in grade school.

.3 equals 1 in ternary it is a full collection of first digit, in this
numbersystem there is a full representation of 1 in the fractionals
thus 3/3=.3
I have not thought about representing base1(unary?) fractionals becase
fractionals is superior to partitioning into base, but possible .{1}
for 1/3 and 3/9 .{{1,1,1} 9/27 .{{{1,1,1,1,1,1,1,1,1} what do you
think.

Binary 1=.2 1/2=.1 2/2=.2 1/4=.(1)1 2/4=.(1)2
Ternary 1=.3 1/3=.1 2/3=.2 1/9=.(1)1 2/9=.(1)2 1/27=.
(2)1 2/27=.(2)2 1/81=.(3)1 2/81=.(3)2
Quaternary 1=.4 1/4=.1 2/4=.2 1/16=.(1)1 2/16=.(1)2
Quinary 1=.5 1/5=.1 2/5=.2 1/25=.(1)1 2/25=.(1)2
Senary 1=.6 1/6=.1 2/6=.2 1/36=.(1)1 2/36=.(1)2
Septenary 1=.7 1/7=.1 2/7=.2 1/49=.(1)1 2/49=.(1)2
Octal 1=.8 1/8=.1 2/8=.2 1/64=.(1)1 2/64=.(1)2
Nonary 1=.9 1/9=.1 2/9=.2 1/81=.(1)1 2/81=.(1)2
Decimal 1=.A 1/10=.1 2/10=.2 1/100=.(1)1 2/100=.(1)2

Date Subject Author
3/19/13 JT
3/19/13 JT
3/20/13 JT
3/20/13 Robin Chapman
3/20/13 Brian Q. Hutchings
3/20/13 JT
3/20/13 JT
3/20/13 JT
3/20/13 JT
3/20/13 Brian Q. Hutchings
3/20/13 JT
3/20/13 Brian Q. Hutchings
3/21/13 JT
3/23/13 Brian Q. Hutchings
3/24/13 JT
3/21/13 JT
3/21/13 JT
3/24/13 David Petry
3/25/13 JT
3/25/13 JT
3/25/13 JT
3/26/13 JT
3/28/13 JT
3/31/13 Brian Q. Hutchings
4/2/13 JT
4/2/13 JT
4/2/13 JT
4/2/13 JT
4/2/13 JT
4/2/13 JT
4/4/13 JT
4/6/13 KBH
4/6/13 JT
4/6/13 JT
4/6/13 JT
4/6/13 JT
4/5/13 Brian Q. Hutchings
4/6/13 JT
4/6/13 JT
4/6/13 JT
3/20/13 JT
3/22/13 JT
3/22/13 JT
3/23/13 JT
3/23/13 JT
3/23/13 JT
3/23/13 JT
3/26/13 JT
3/31/13 JT
3/31/13 Brian Q. Hutchings
4/7/13 KBH
4/7/13 KBH
4/7/13 KBH
4/7/13 KBH
4/7/13 JT
4/7/13 JT
4/7/13 KBH
4/7/13 JT
4/7/13 JT
4/7/13 JT
4/8/13 Brian Q. Hutchings
4/7/13 KBH
4/7/13 JT
4/8/13 Brian Q. Hutchings
4/7/13 JT
3/31/13 Frederick Williams
3/31/13 JT
4/7/13