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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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
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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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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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
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
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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Menu (linked Index) Metabolic Pathways Last Update: March 4, 2025 Introduction Metabolism Defined Cellular Respiration Central Metabolism – Proteins, Fats Metabolic Routes Fructose Metabolism Pentose Phosphate Pathway Glycogen Pathway Fat Metabolism Path Lactic Acid Glucose Pathway Protein Metabolism Paths Acetyl CoA Metabolic Routes Summary of Biosynthesis Routes Tissue Specific Metabolic Routes Conclusion Introduction The chemical
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Menu (linked Index) Cellular Respiration (V) Oxidative Phosphate Addition (Phosphorylation) Last Update: October 30, 2024 Introduction ATP is Life Oxidative Phosphorylation Overview Oxidative Phosphorylation Steps ATP Synthase and Chemiosmosis Summary Conclusion Introduction This is part V of a 5 part series on Cellular Respiration. You can access the other posts via the links below. Cellular
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Menu (linked Index) Cellular Respiration (IV) Krebs Cycle Last Update: October 29, 2024 Introduction Krebs Cycle Schematic Krebs Cycle Reactions FADH2 Molecular Balance Through 3 Stages Conclusion Introduction This is part IV of a 5 part series on Cellular Respiration. You can access the other posts via the links below. Cellular Respiration (I) Overview Cellular
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