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| | www.johndcook.com
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| | How the Pythagorean theorem, law of sines, and law of cosines translate to hyperbolic geometry.
| | 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.arsmathematica.net
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| | almostsuremath.com
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| The martingale property is strong enough to ensure that, under relatively weak conditions, we are guaranteed convergence of the processes as time goes to infinity. In a previous post, I used Doob's upcrossing inequality to show that, with probability one, discrete-time martingales will converge at infinity under the extra condition of $latex {L^1}&fg=000000$-boundedness. Here, I...