General Mathematics

"Wave" Arithmetic Versus "Standard" Arithmetic

Authors: Marko V. Jankovic
Comments: 4 Pages.

In this paper, a comparison of "standard" arithmetic (S-arithmetic) [1] and newly proposed "wave" arithmetic (Warithmetic) is going to be performed. S-arithmetic stands for the arithmetic that is commonly used in mathematics, while theW-arithmetic is arithmetic based on slightly modified axioms of S-arithmetic. The basic change that is introduced in Warithmetic, is that operation of addition does not have only one "global" neutral element, but rather two neutral elements -one global and one "local" (one specific to each number). In the text that follows, only the set of natural number togetherwith zero is going to be considered.
Category: General Mathematics