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 […]
R2 – Rotation – Rotvision
What is R2 Rotvision? The R2 rotvision operation is the inverse of rotation. Rotation requires an amount of rotation, a single point axis and a starting point in order to calculate the new location of a point. In contrast, rotvision requires a current point, a single point axis and an original starting point that are […]
R1 – Division – Flipping
Flipping in division can be applied to the individual Opposite Values or to the result to reverse their signs.
R1 – Division – Simple
Division by Opposite Values is guided by the Rotation Division table for R1.
R1 – Division – Advanced
This post covers more advanced math division in R1 such as with expressions, long division and multiplicative inverses. Division of Expressions using Long Division The element of the result above the line is multiplied with the divisor. As the subtraction operation does not exist, the result is flipped and added to the numerator. In the […]
R3 – Division – Examples
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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 […]
R3 – Division – Self Division and Unitaries
This post covers self division in R3. It looks at the cases where the result of division is a unitary and where it is not. Self Division In quaternions, R1 and R2, the division of an expression by itself results in the answer 1^. For example in R2: However, in Wave Numbers R3, division of […]
R3 – Division – Definition
What is R3 Division? In the context of R3, division is defined as the inverse operation of multiplication. The result of dividing an operand by an operator is an expression such that when the operator is multiplied by this result, it yields the original operand. R3 division is a scalar operation that incorporates rotation through […]