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| | austinmorlan.com
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| | It took me longer than necessary to understand how a rotation transform matrix rotates a vector through three-dimensional space. Not because its a difficult concept but because it is often poorly explained in textbooks. Even the most explanatory book might derive the matrix for a rotation around one axis (e.g., x) but then present the other two matrices without showing their derivation. Ill explain my own understanding of their derivation in hopes that it will enlighten others that didnt catch on right a...
| | gereshes.com
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| | This post is focused on presenting the basics of stability for dynamical systems, and answers what will our system do if we perturb it a small amount?
| | nhigham.com
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| | A real $latex n\times n$ matrix $LATEX A$ is symmetric positive definite if it is symmetric ($LATEX A$ is equal to its transpose, $LATEX A^T$) and $latex x^T\!Ax > 0 \quad \mbox{for all nonzero vectors}~x. $ By making particular choices of $latex x$ in this definition we can derive the inequalities $latex \begin{alignedat}{2} a_{ii} &>0...
| | blog.computationalcomplexity.org
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| By request a post that may create the biggest backlash since I declared myself Unixfree . \begin{rant} LaTeX is a great system for mat...