Science

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Lens Ray Diagrams

Menu (linked Index) Lens Ray Diagrams Last Update: October 21, 2024 Introduction Convex and Concave Lens Basics Ray Diagram Drawing Rules Convex and Concave Lens Ray Diagram (O>2F) Convex and Concave Lens Ray Diagram (O=2F) Convex and Concave Lens Ray Diagram (2F>O>F) Convex and Concave Lens Ray Diagram (O=F) Convex and Concave Lens Ray Diagram […]

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Lens Equations

Menu (linked Index) Lens Equations Last Update: October 21, 2024 Introduction Symmetrical Concave and Convex Lens Using Ray Diagrams to Determine the Lens Equations Lens Magnification Equation Thin Lens Equation Curved Surface Refraction Equation Derivation Lens Maker’s Equation Introduction In this post we’ll derive the following key lens equations: The Lens Magnification Equation The Thin

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Complex Number Math

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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Complex Number z = a + bi icon

Complex Numbers

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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Unit Circle

Menu (linked Index) Unit Circle and Definitions of Radian and π Last Update: December 15, 2024 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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Euler’s Formula Derivation

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 as Infinite Series 2

Euler’s Number

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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Number Classification Letters

Number Classifications

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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Metabolic Pathways

Menu (linked Index) Metabolic Pathways Last Update: October 31, 2024  Introduction Metabolism Defined Cellular Respiration Central Metabolism – Proteins, Fats Metabolic Routes 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 reactions that

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