JT
Posts:
1,148
Registered:
4/7/12


Re: Is there any webpage or math program that can write fracitons, numbers into bijective enumeration?
Posted:
Apr 6, 2013 8:35 PM


On 5 Apr, 20:22, 1treePetrifiedForestLane <Space...@hotmail.com> wrote: > I really don't know what this is all about, but > the cannonical baseone accounting isn't "hash marks," > as you can easily see by induction on baseten. > > > > > > > > > Counting 5={1,1,1,1,1}
Well as i said any natural number is really a collection of discrete entities that csn be partitioned into bases. The partioned base form subsets or subcollections for each digit, thus you can see by visual inspection that 5 in ***binary*** have 2 groups of 1s for the second digit place and one for the first digitplace. So there can be no other representation then 21 for 5. To represent 5 as 101 will just not do it.
Counting 5={1,1,1,1,1} Binary 5={{1,1}{1,1}1} Ternary 5={{1,1,1}1,1} Quaternary 5={{1,1,1,1}1} Senary 5={1,1,1,1,1} Septenary 5={1,1,1,1,1} Octal 5={1,1,1,1,1} Nonary 5={1,1,1,1,1} Decimal 5={1,1,1,1,1}

