Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
Drexel University or The Math Forum.


JT
Posts:
1,150
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 that your base i ternary) 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



