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cre8math.com
| | www.oranlooney.com
18.7 parsecs away

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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.
| | 0fps.net
15.2 parsecs away

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| | (This is the sequel to the following post on SmoothLife. For background information go there, or read Stephan Rafler's paper on SmoothLife here.) Last time, we talked about an interesting generalization of Conway's Game of Life and walked through the details of how it was derived, and investigated some strategies for discretizing it. Today, let's...
| | www.johndcook.com
14.4 parsecs away

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| | A Kepler triangle is a right triangle whose sides are in geometric progression. That is, if the sides have length a < b < c, then b/a = c/b = k. All Kepler triangles are similar because the proportionality constant k can only take on one value. To see this, we first pick our units [...] The post Kepler triangle first appeared on John D. Cook.
| | francisbach.com
80.2 parsecs away

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