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davidbau.com
| | jaydaigle.net
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| | This week we continue our exploration of what numbers are, and where mathematicians keep finding weird ones. Last time we defined the real numbers, but it took a lot of work. Now we'll see how truly strange they are. They're so strange that it's tempting to avoid them and stick with something simpler. But the real numbers do a much better job of describing modeling the parts of the world we care about. Their weirdness is exactly what we need to guarantee that a bunch of
| | principia.blog
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| | This blog is dedicated to the memory of the singular John Machin, professor of astronomy at Gresham College. He calculated ?? to 100 places of decimals, and, in The Principia, Newton quotes in full an article by Machin on the motion of the nodes of the moon. Cajouri, in his revision of Motte's translation of...
| | blog.demofox.org
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| | An irrational number is a number that can't be represented as a fraction using integers for the numerator and denominator. I'm a big fan of irrational numbers, and one of the biggest reasons for that is that they are great at making low discrepancy sequences, which give amazing results when used in stochastic (randomized) algorithms,...
| | fbeedle.com
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| This book provides a distinct way to teach discrete mathematics. Since discrete mathematics is crucial for rigorous study in computer science, many texts include applications of mathematical topics to computer science or have selected topics of particular interest to computer science.