Math Archives - wymhacks

Unit of Measure Conversion Factors

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Menu (linked Index) Unit of Measure Conversion Factors Last Update: July 13, 2025 Introduction Exponentials, Scientific Notation, and SI Prefixes Volume Equivalents (Conversion Factors) Mass Equivalents (Conversion Factors) Length Equivalents (Conversion Factors) Pressure Equivalents I.(Conversion Factors) Pressure Equivalents II. (Conversion Factors) Energy Equivalents I. (Conversion Factors) Energy Equivalents II. (Conversion Factors) Power Equivalents I. (Conversion […]

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Integration Definition and Rules

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Menu (linked Index) Integration Rules Last Update: July 1, 2025 Introduction Integral Definition Integral Notation Integration: Basic Formulas Beyond basic integration Introduction Finding the area under a curve in physics is very useful. For example, the work done on an object that is displaced a distance d is computed as W = force x distance.

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Geometry and Trigonometry Rules

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Menu (linked Index) Geometry and Trigonometry Rules Last Update: October 20, 2024 Introduction Similar Triangles Exterior and Interior Angles of Triangles Law of Cosines and Sines Right Triangle Trigonometric Functions Small Angle Approximations Radius of Curvature Normal (Perpendicular) Line to Circle Surface Introduction This post summarizes some useful geometric and trigonometric functions and rules. Return

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Exploring Euler’s Formula

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Exploring Euler’s Formula Exploring Euler’s Formula Last Update: December 18, 2024 Euler’s Identity It all started for me when I came across the formula below. It’s called Euler’s Identity. If you are a mathematician, you are getting pretty excited right now just seeing this equation. Kind of like a sportscaster’s reaction when you talk about

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Unit Circle

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Menu (linked Index) Unit Circle and Definitions of Radian and π Last Update: June 9, 2025 Introduction Properties of a Circle The Unit Circle and The Radian Conclusion Introduction In this post we’ll review some of the important mathematical formulas and properties derived from the circle. You probably know that the constant pi = π

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Number Classifications

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Menu (linked Index) Number Classifications Last Update: November 25, 2024 Introduction Number Classification Organization Chart Number Classification Description Number Classification – Venn Chart – High Level Number Classification – Venn Chart – Real Numbers Number Classification – Venn Chart – Full Chart Introduction Understanding the various number types (classifications) is critical to gaining a deeper

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Euler’s Formula Derivation

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Menu (linked Index) Euler’s Formula Derivation Last Update: December 12, 2024 Introduction The Derivative Derivative Rules Derivatives of Useful Functions Taylor and Maclaurin Power Series Euler Formula Derivation Summary of the Derivation Conclusion Appendix 1 – Graphical meaning of (x-a) Appendix 2 – Full Derivation of Taylor and Maclaurin Power Series Appendix 3 – Unit

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Euler’s Number

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Menu (linked Index) Euler’s Number Last Update: December 11, 2024 Introduction What is e e History Outline e Definition As A Limit Derivation of the Continuous Compounding Equation e Definition as an Infinite Series Summation Unique Properties of e Conclusion Introduction In this article we’ll describe and define Euler’s constant e, which is a non

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Complex Numbers

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Menu (linked Index) Complex Numbers Last Update: November 29, 2024 Introduction Multiplying by -1 The Imaginary Unit i Multiplying by i Complex Numbers and Complex Plane Multiplying by i in the Complex Plane Polar / Trigonometric Form of a Complex Number Polar / Exponential Form of a Complex Number Euler’s Formula is All about Rotation

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Complex Number Math

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Menu (linked Index) Complex Number Math Last Update: December 5, 2024 Introduction Complex Number Addition Complex Number Subtraction Complex Number Multiplication Introduction In this post, we’ll see how addition, subtraction , and multiplication of Complex Numbers can be shown geometrically in the Complex Plane. This will help visualize what is going on with these math

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