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www.johndcook.com
| | 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.
| | ncatlab.org
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| | [AI summary] Mike Shulman, a Professor, discusses his academic work in homotopy type theory, higher inductive types, and related mathematical concepts through selected writings and talks.
| | www.shapeoperator.com
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| | [AI summary] The text discusses the use of geometric algebra to solve a sunset problem posed by Robert Vanderbei, avoiding the need for angles. It highlights the advantages of geometric algebra over classical trigonometry, complex numbers, and other methods, emphasizing its coordinate-free nature and applicability to higher dimensions. The text also recommends resources for learning geometric algebra and mentions related problems and experiments for estimating Earth's size.
| | blog.intothesymmetry.com
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| tl;dr Mozilla Firefox prior to version 72 suffers from Small Subgroups Key Recovery Attack on DH in the WebCrypto 's API. The Firefox's te...