Friday, February 1, 2019

Reasons Why \(0! = 1\)

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Yesterday my wife asked me why \(0! = 1\) and I realized that I off the top of my head I only had two answers: (1) it's defined that way...
Saturday, September 2, 2017

Fourier Transforms Redux

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A while ago I wrote a blog post on developing some intuition behind the Fourier transform. Recently a Math Stack Exchange post came up about...
Monday, August 21, 2017

The frequencies of the frequency domain: \(f\), \(\omega\), \(s\), and \(z\)

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This is a note for myself (any anyone else interested) on the relationship between the four major frequencies \(f\), \(\omega\), \(s\), and ...
Sunday, July 31, 2016

The Gaussian Moment Integrals

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In this blog I want to document a useful technique for evaluating integrals of the form $$I_n(a) = \int_{-\infty}^{\infty}x^n e^{-ax^2}\ dx...
Thursday, June 2, 2016

Weekly blog 4: Derivations of the Fourier Transform

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I swear I'll get to the discussion of first and second order systems in a bit, but before leaving the topic of transforms altogether, I ...

Weekly Blog 3: More About Integral Transforms

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Welcome to the 3rd installment of the weekly controls blog! I was going to do a blog on first and second-order systems, but wow, those Lapla...
Saturday, May 28, 2016

(Late) Weekly Blog 2: Transfer functions and Their Compositions

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First: only one week into my project and I have already failed to reach my intended goal as the post slated for last week never happened. I ...