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| | fotino.me
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| | In my previous two articles I discussed collision detection and response between rigid bodies. In order to do proper collision response between rotating objects, we needed to calculate the moment of inertia about their center of mass. Here I'm going to describe how to get the moment of inertia for
| | www.johndcook.com
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| | How the Pythagorean theorem, law of sines, and law of cosines translate to hyperbolic geometry.
| | www.oranlooney.com
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| | One thing you may have noticed about the trigonometric functions sine and cosine is that they seem to have no agreed upon definition. Or rather, different authors choose different definitions as the starting point, mainly based on convenience. This isn't problematic or even particularly unusual in mathematics - as long as we can derive any of the other forms from any starting point, it makes little theoretical difference which we start from since they're all equivalent anyway.
| | blog.georgeshakan.com
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| I recently uploaded "On the largest sum-free subset problem in the integers," to the arXiv. Let $latex A \subset \mathbb{Z}$ be a finite subset of the integers. We say $latex A$ is sum-free if there are no solutions to $latex a + b = c,$ with $latex a,b,c \in A$. We define $latex S(A)$ to...