https://davidan.dev/tags/mathematics/ Recent content in mathematics on David An Hugo -- gohugo.io en-us Wed, 14 Dec 2022 00:00:00 +0000 https://davidan.dev/posts/inequalities/ Wed, 14 Dec 2022 00:00:00 +0000 https://davidan.dev/posts/inequalities/ This article assumes the reader has basic knowledge of calculus and analysis. Covers topics ranging from basic Cauchy Schwarz to Lipschitz, culminating in us pulling out a mathematical rabbit out of an algebraic hat. 1. What is an Inequality? An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. Literally, it does not get more simpler than that. For example: \(3 \leq 5\) directly reads “3 is less than or equal to 5. https://davidan.dev/posts/harmonic/ Sat, 03 Dec 2022 00:00:00 +0000 https://davidan.dev/posts/harmonic/ Some introductions into harmonic functions. This post is meant to be an approchable read into these phenomena. 1. Introduction on Harmonic Functions A mass on a spring, measuring fluid flow, even the cosine wave, are all examples of where harmonic functions can be found within our world. The name itself stems from an object or force going through some type of harmonic (or oscillating) motion from a steady state equilibrium. From a graphical standpoint, it is merely an oscillation between two points, in an infinitesimal manner.