November 2, 2024
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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 […]

R3 – Cube Roots

Similar to R3 Division, cube roots in R3 are solved using simultaneous equations. Simultaneous Equations Needed The following is a method for finding R3 cube roots using simultaneous equations. For example, take the cubic equation: As described in an earlier post, the square of the expression (a? + bi? + cj?)2  is (a2? +  b2i2 + c2j2). This allows […]

R3 – Division – Simultaneous Equations

Why Simultaneous Equations are Needed According to the theorem of multiplicative inverses, R3 lacks multiplicative inverses. Therefore, the Wave Number system employs an alternative method to compute the result of division in R3, using simultaneous equations. Consider the following equation: To obtain the result of the division, you need to solve the following equation: The […]

R3 – Reciprocals and Multiplicative Inverses

This post covers multiplicative inverses and the reciprocals of Opposite Values in R3. Need for Multiplicative Inverses As stated in the theorem in an earlier post, multiplicative inverses are not available in R3. Multiplicative inverses do not exist, as multiplication is not commutative in R3. The main use of the multiplicative inverse is to avoid […]

R2 – Division – Advanced

This post covers more advanced math division in R2 including multiplicative inverses and the use of simultaneous equations. R2 Division Table / 1^ 1v i^ iv 1^ 1^ 1v iv i^ 1v 1v 1^ i^ iv i^ i^ iv 1^ 1v iv iv i^ 1v 1^ Inverses The theorems of multiplicative inverses describe the features […]