Fractional Calculus and Taylor Series

Sun, 22 Aug 2021 00:00:00 +0000

Fractional calculus is the attempt to solve equations of the form $\sqrt{\frac{d}{dx}}f(x)$, where $\sqrt{\frac{d}{dx}}$ is some operator that when applied twice is equal to the...

Fluid Mechanics from Particle Motion

Sat, 28 May 2016 00:00:00 +0000

This post presents a derivation of the Euler equations of fluid mechanics from particle motion and is based on a paper I wrote, available

String Dynamics

Sat, 30 Apr 2016 00:00:00 +0000

Since finishing my first class on classical mechanics I have been interested in deriving the equations of motion for strings. Before I begin it should...

PsiPy: Schrodinger's Equation (part 1)

Sat, 07 Mar 2015 00:00:00 +0000

This past fall I was taking my second quantum mechanics class. In that class we learnt how to deal with discreet quantum system using linear...

Memory and Markov

Wed, 04 Feb 2015 00:00:00 +0000

In a previous post I discussed how to generate a Markov Chain with a basic algorithm, but using that algorithm memory usage was a limiting...

An Improbable Prime

Fri, 12 Sep 2014 00:00:00 +0000

Over the last couple years security and privacy on the internet has become significant issue due to constant hacking and spying from groups and individuals...

The Making of a Markov Chain

Sat, 19 Jul 2014 00:00:00 +0000

Before getting into how to make Markov Chains, lets quickly get a refresh on what a Markov Chain is. A Markov Chain is a set...

What is Momentum?

Fri, 13 Jun 2014 00:00:00 +0000

When you took your first physics class you where introduced to the concept of momentum, and the discussion likely revolved around Newton’s second law of...

An Introduction to Markov Chains

Sat, 07 Jun 2014 00:00:00 +0000

Markov chains are a statistical tool invented by Andrey Markov to model dependent statistical phenomenon. A Markov Chain is made from two components a discrete...

I-Process