R3 – Multiplication Links to Rotation and Rotication – Part 2
R3 Multiplication Link between Formulae: The R3 multiplication and rotication formulae also demonstrate how multiplication links to rotication. The post on multiplication use of trigonometry gives the formula for multiplication as: Part 1 of this post shows how the rotication formula can be rewritten in terms of Opposite Value types as: The multiplication calculations below […]
R3 – Multiplication Links to Rotation and Rotication – Part 1
Introduction: This post starts with a description of long multiplication in R3. It then describes the R3 multiplication links to rotation and rotication and how the different operations move a point. Long Multiplication Calculate (5^ + 7iv + 2j^)*(4v + 6iv + 4jv) = (20^ + 30iv + 66jv) by long multiplication and using the R3 multiplication table. For example: 4v […]
R2 – Rotation – Roticvision
What is R2 Roticvision? The R2 roticvision operation is the inverse of rotication. As seen in an earlier post, rotication requires an amount of rotation, an axis and a starting point to calculate the new location of a point. In contrast, roticvision requires a current point, an axis and an original starting point that are […]
R2 – Rotication
This post defines the new concept of the R2 rotication operation. It also provides examples. What is Rotication in R2? The R2 rotication operation is supported by the facts expressed in its axiom definition of operations. Rotication is a two-step operation. The first part of the operation is the same as rotation and results in a […]
R3 – Rotation – Roticvision
The R3 roticvision operation is the inverse of rotication. As seen in an earlier post, rotication requires an amount of rotation, an axis and a starting point in order to calculate the new location of a point. In contrast, roticvision requires a current point, an axis and an original starting point that are all Opposite […]
Wave Number Calculator – Guide
Introduction This is the online Wave Number calculator guide. The calculator supports the R1, R2, and R3 dimensions. Chose from these using the top menu bar of the calculator. Wave Numbers use Opposite Values. Each Opposite Value consists of 3 parts. The first is the Counter. This gives the magnitude. The second part is […]
Operations
Introduction Wave Numbers require a re-evaluation of general mathematical operations such as addition, subtraction, rotation, multiplication and division. Operators, operations, and operands need new definitions within this system. In Wave Number mathematics, the key distinction between 1^ and 1v is that through interference they cancel each other out when they combine. Subtraction is not […]
R3 – Rotication
This post defines the new concept of the R3 rotication operation. It also provides examples. What is Rotication in R3? The rotication operation is grounded in the principles outlined in its axioms. Rotication consists of two steps. The first step is identical to rotation, resulting in a circular movement of a point. The second step takes […]
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 […]