Tag Archives: mathematics

When to introduce the matrix exponential?

In the study of linear systems, a familiar relationship is the homogeneous state-space equation , where is an -vector, and is an matrix. The time-invariant solution, (i.e., when is a constant matrix), is . When this subject is first introduced, the solution is often assumed, rather than derived. The thinking is that since the solution […]

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Adding MathJax to WordPress

If your blog is hosted on WordPress.com, you can already render mathematical equations using LaTeX code (at least, that is my understanding). However, since I run WordPress on my own server, I would have to add a bit of software to produce similar results. A long time ago I tried using jsMath to generate math […]

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Mathematicians write like novelists

As I attempt to teach myself something about stochastic calculus, I have been reading a great many articles, and several textbooks, on the subject. It has left me with the distinct notion that mathematicians hate to spill the plot too early in the story. Each proof builds upon clues that have been scattered throughout the […]

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