Science

Electromagnetic Wave Wiki Commons

Wave Superposition

Menu (linked Index) Wave Superposition Last Update: October 20, 2024 Introduction  Electromagnetic Wave Superposition Why Light Slows Down Introduction Electromagnetic waves produced by different sources will combine in a process called superposition.  In this post, we’ll describe basic wave superposition and why light slows down when entering a medium with a higher refractive index.  Also […]

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Vision Correction

Menu (linked Index) Vision Correction Last Update: Feb 5, 2025 Introduction Anatomy of the Eye Near Sightedness and Far Sightedness A Normal Eye with Perfect Vision Far Sightedness and Its Correction Presbyopia Near Sightedness and its Correction Astigmatism Eye Glass / Contact Prescription Refractive Vision Error Corrective Procedures for Near Sightedness, Far Sightedness, Presbyopia, and

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Cataract Surgery: From Darkness, Light

Menu (linked Index) Cataract Surgery : From Darkness, Light Last Update: February 9, 2025 Introduction What are Cataracts? Couching for Cataracts History of Cataract Surgical Procedures Characteristics of a Modern Cataract Surgery Pre-Cataract Surgery Homework A Modern Cataract Procedure Conclusion  Also refer to my post: Understand Your Eyes where you can link to other eye and optics

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Cataract Tabulated History

Menu (linked Index) Cataract Tabulated History Last Update: January 21, 2025 Introduction  Cataract Historical Timeline Cataract References  Introduction In this post I’ve created a (roughly) chronological tabulated history of cataract procedures and surgery developments through the ages.  The first table is the historical listing, including a reference source number.  The second table provided can then

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Geometry and Trigonometry Rules

Menu (linked Index) Geometry and Trigonometry Rules Last Update: October 20, 2024  Introduction Triangle Drawings Similar Triangles Exterior and Interior Angles of Triangles 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.  These are used in

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Unit Circle with Radians Icon

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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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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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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