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thinking-about-science.com | ||
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algorithmsoup.wordpress.com
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| | | | | This is part of a new sequence of posts titled, My favorite example of: $latex {x}&fg=000000$, for different values of $latex {x}&fg=000000$. Today, $latex {x}&fg=000000$ is the pigeonhole principle. The Erdös-Szekeres Theorem: Consider any sequence of $latex {n}&fg=000000$ distinct numbers. There must exist a subsequence $latex {S}&fg=000000$ of $latex {\sqrt{n}}&fg=000000$ numbers such that $latex {S}&fg=000000$... | |
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www.jeremykun.com
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| | | | | The standard inner product of two vectors has some nice geometric properties. Given two vectors $ x, y \in \mathbb{R}^n$, where by $ x_i$ I mean the $ i$-th coordinate of $ x$, the standard inner product (which I will interchangeably call the dot product) is defined by the formula $$\displaystyle \langle x, y \rangle = x_1 y_1 + \dots + x_n y_n$$ This formula, simple as it is, produces a lot of interesting geometry. | |
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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 | |
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geripal.org
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| | | This blog is a warning. "Some other disease" or SOD will soon become the leading killer of elderly patients in the United States. SOD arose insidiously and seem | ||
