Blog

  • Numerical Solution of the Fundamental Equation of Udwadia and Kalaba

  • VisualDSolve (First Post!)

    I’ve always been intrigued by differential equations. Here’s an example of use of the VisualDSolve package for plotting the phase of a differential equation.

  • Quantum Theory of Atoms in Molecules: Wolfram Language Edition

    I have been developing a QTAIM package for the Wolfram Language. It won a “Staff Pick” prize! Here is a notebook that contains some of the highlights of the package’s capabilities. The package is made in honor of my friend and mentor the late Prof. Richard F. W. Bader. You can follow this project at Github.
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  • Interest as a Differential Equation

    These are some rough notes that demonstrates how interest can be expressed as a differential equation. As a bonus, the differential equation is discretized to handle discrete payments.

  • CircuiTikZ and QuickLaTeX

    This is a schematic of 18W MOSFET amplifier with an NPN transistor. It is taken from Ramon Jaramillo’s excellent example on TeXample.net.

    Rendered by QuickLaTeX.com

  • FAFO

    This is a relationship that I often need to demo.

  • Quantum Stochastic Master Equation

    Way back when I was a postdoc, the Lindblad equation was where all the action was. People had creaky Fortran codes which they used to generate their results. I was amazed that they worked, being full of strange constants and fudge factors. Here is a Mathematica/Wolfram Language notebook–taken from Mohammed Bahrami at Wolfram Research–with a few minor modifications that solves the Quantum Stochastic Master Equation and plots the results in an easily understandable self-contained form.
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  • List of Neural Network Models in Wolfram Language

    It’s often useful to get a fresh list of the new models published in the Wolfram Language. This notebook will do it. (Warning, it downloads all the models, too!)
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  • US National Debt

  • Farewell to Lena

    I was saddened to see that the famous “Lena” test image is slated to be removed from Wolfram’s ExampleData.