Applied Mathematics – Cantor's Archive

Mathematical Modelling

The Time Evolution of a Particle’s Position

To determine the position of a particle can be a very challenging task. The obvious way is to look at it and see where it is at that time. However, as one can expect, measuring the position of a particle at every instance of time is very difficult (impossible). (A

Chemistry

Salt on an Icy Road Lowers Its Temperature

So, how does it melt the ice?

Philosophy

Raymond L. Wilder’s Anthropology of Mathematics

Platonism and Applied Mathematics

Exponential Growth

To the Moon in No Time!

And the Answer Is… 42.

Analysis

Distributions: What Exactly is the Dirac Delta “Function”?

The theory of distributions , also known as generalized functions, often remains something of an enigma…

Game Theory

Implications Of Cheating In a Relative Grading System

Using Distributions and Game Theory

Physics

Approaches to Solving Problems in Physics

Becoming a master at physics requires a lot of work, but learning the techniques and guidelines in this article is taking the first step.

Applied Mathematics

Principal Component Analysis: The Basics of Dimensionality Reduction

In the era of big data, we frequently find ourselves manipulating high-dimensional data, whether it be image data (where the number of…

Relativity

Can Transatlantic Flight Paths explain General Relativity?

The Geometry of Great Circle Routes and the Curvature of Spacetime

Classical Mechanics

Applications in Physics and Elastic Collisions

Bouncing balls to space

Game Theory

The El Farol Bar Problem

“Oh that place. It’s so crowded nobody goes there anymore.” — Yogi Berra

Applied Mathematics

How Control-Allocation for Multirotor Systems Works

A mathematical explanation of how drones function.