Gallery — Math

Primality Tests and Factoring Algorithms

A proof of the improper integral that defines the gamma function that I have derived for \(R \geq 0\).

For an electron moving in a circular path in a magnetic field, if we know the magnetic field strength, accelerating voltage, and radius of the electron's trajectory, then we can make an estimation of the electron's charge to mass ratio. We calculated an average charge to mass ratio of \(2.08 \times 10^{11} \pm 1.81 \times 10^8\) Coulombs per kilogram.

A simple algorithm paper for the sake of practice.

Homework template for UW AMATH 582 Winter Quarter 2020

We describe what mimetic interpolation is and why it is critical for some pre- and post-processing tasks. A simple test case shows how using bilinear interpolation for a flux calculation introduces numerical errors that depend on the grid, the number of segments and the number of quadrature points. In contrast, mimetic interpolation will return the exact result regardless of the grid resolution and the number of segments.

Math 453 HW 1 (with solutions)

Template for use in the University of Iowa course MATH:3900 Introduction to Math Research.

This is a template for students in MATH 3000 at Fitchburg State University. This is for formal write-ups of results presented in class. It also contains many comments to give a brief intro to LaTeX. Anyone else is also free to use this template, but some things will be silly for you.