General Mathematics

    

"Wave" Arithmetic Versus "Standard" Arithmetic

Authors: Marko V. Jankovic

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.

Comments: 4 Pages.

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Submission history

[v1] 2023-10-28 17:15:53

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