Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Replies: 23   Last Post: Oct 1, 2013 3:22 PM

 Messages: [ Previous | Next ]
 JT Posts: 1,448 Registered: 4/7/12
Posted: Sep 30, 2013 12:34 PM

Den måndagen den 30:e september 2013 kl. 18:33:14 UTC+2 skrev jonas.t...@gmail.com:
> Den måndagen den 30:e september 2013 kl. 17:57:49 UTC+2 skrev jonas.t...@gmail.com:
>

> > When i've played with constructing *zeroless* numbersystems i've come a cross terms like bijective and p-adic, since my formalised knowledge of math terms is null. I wonder what these terms really mean and their origin, and is there a difference between bijective base 10 and p-adic base 10?
>
> >
>
> >
>
> >
>
> > My native language is not english so what does a numbersystem being p-adic and bijective really refer to?
>
> >
>
> >
>
> >
>
> > Basicly i wonder what does these term bring to the properties and understanding of the numbersystem that is missing by simply using zeroless bases?
>
> >
>
> >
>
> >
>
> > I do realise that zeroless basesystem may indeed end up with a different set of arithmetic and calculus. But what does these terms bring that zeroless base can not encapsulate?
>
> >
>
> >
>
> >
>
> > I will implement some general purpose p-adic??? numbersystem converter and some basic arithmetic working for any p-adic +,-,*,/ SQR,SQRT maybe
>
> >
>
> >
>
> >
>
> > Also i wonder about radix notation, when you use decimals to represent numbers in higher bases then 10, what is this type of numerical notation of a base called.
>
> >
>
> >
>
> >
>
> > Base 10 number 1344556
>
> >
>
> > Base 77 number 2,72,59,59,
>
> >
>
> >
>
> >
>
> > I have a feeling that radix notation is not the correct term for what i use above or is it?
>
> >
>
> >
>
> >
>
> > If i write a basechanging function constructed using p-adic and this comma separated decimal notation system, what should i call it so people in math understand the notation?
>
> >
>
> >
>
> >
>
> > A general purpose base changing algorithm using
>
> >
>
> > P-adic and comma separated decimal notation?
>
>
>
> I know see that p may mean prime, so the question was maybe illformed better would have been using ternary.
>
>
>
> If anyone has a comment on the base changing algorithm or the notation before i change it to bijective it is welcome.
>
>
>
> Once i implemented basic arithmetic i will change it not be restrained by the limitations of the integer type in javascript. Basicly i will probably implement a very odd looking bignumber library, only using chinese remainder theorem, and basicly no math primitives just strings.

http://web.comhem.se/jonasth/nyan.html

Date Subject Author
9/30/13 JT
9/30/13 JT
9/30/13 JT
9/30/13 FredJeffries@gmail.com
9/30/13 JT
9/30/13 Brian Q. Hutchings
9/30/13 JT
9/30/13 JT
9/30/13 Rock Brentwood
9/30/13 JT
9/30/13 Michael F. Stemper
9/30/13 JT
9/30/13 JT
9/30/13 JT
9/30/13 Virgil
9/30/13 JT
9/30/13 Virgil
9/30/13 JT
9/30/13 Virgil
10/1/13 Brian Q. Hutchings
10/1/13 Brian Q. Hutchings
10/1/13 Michael F. Stemper
10/1/13 Brian Q. Hutchings
10/1/13 Karl-Olav Nyberg