The first step in solving a cubic equation is to apply a change of variables to reduce an equation of…

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## Building high frequencies out of low frequencies

If you have sines and cosines of some fundamental frequency, and you’re able to take products and sums, then you…

Continue Reading## Solving Van der Pol equation with ivp_solve

Van der Pol’s differential equation is The equation describes a system with nonlinear damping, the degree of nonlinearity given by…

Continue Reading## Differential Equations — Basics

Because you’ll likely never run into a completely foreign DFQ. Most DFQs have already been solved, therefore it’s highly likely…

Continue Reading## Elementary solutions to differential equations

Differential equations rarely have closed-form solutions. Some do, and these are emphasized in textbooks. For this post we want to…

Continue Reading## Inference using EM algorithm

It turns out, yes. Estimating model parameters does get a little tricky if latent features (or missing data) are involved.…

Continue Reading## Support Vector Machines Explained

SVMs find a line (or hyperplane in dimensions greater than 2) in between different classes of data such that the…

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