Principles
The Wave Numbers system comprises of the ^ Opposite Values (called ‘Hat’ Opposites) and the v Opposite Values (called ‘Vee’ Opposites). All the Opposite Values in the Wave Numbers system start from 0.
Axioms and Primitives
Approach to Developing Axioms and Primitives The Axioms for Real Numbers from the Department of Mathematics at the University of Washington are presented in a meticulously structured format for defining axioms and primitives Similarly, the development of the Wave Number system’s axioms and primitives employs this well-considered methodology. Starting with Primitives The Axioms begin with […]
Axioms – Equality
Axioms for Real Numbers states the following about equality: “In modern mathematics, the relation “equals” can be used between any two “mathematical objects” of the same type, such as numbers, matrices, sets, functions, etc. To say that a = b is simply to say that the symbols a and b represent the very same object. […]
Definition – Operations
Introduction This post defines the Wave Number math operations: Addition, rotation, rotication, multiplication and flipping. Addition a + b denotes the result of adding two Opposite Values a and b. This result is referred to as the sum of a and b. Rotation (↺?) The second operation is rotation. a ↺? b denotes the result […]
Primitives – Various – Old
This post describes various other math primitives in the Wave Numbers System. Integer An integer is a whole number on any axis (?^, ?v or zero). Zero The symbol 0 represents the number zero. It is a special Opposite Value as it does not have an Opposite Type or Sign. It is less than all […]
Definition – Opposite Values
^ and v Opposite Values The Wave Number system utilizes two types of Opposite Values: ^ (called “Hat”) and v (called “Vee”). These are constructed using Counters, Opposite Types and Opposite Signs. The Wave Number system uses the term “Opposite Values” instead of “Opposite number” because an Opposite Value contains more information than a pure […]