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JT
Posts:
1,267
Registered:
4/7/12


Numbersystems, bijective, padic etc
Posted:
Sep 30, 2013 11:57 AM


When i've played with constructing *zeroless* numbersystems i've come a cross terms like bijective and padic, 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 padic base 10?
My native language is not english so what does a numbersystem being padic 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 padic??? numbersystem converter and some basic arithmetic working for any padic +,,*,/ 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 padic 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 Padic and comma separated decimal notation?



