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mathmunch.org | ||
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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 | |
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acko.net
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| | | | | Exploring the outer limits: on the nature of infinity, continuity and convergence. | |
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jeremykun.wordpress.com
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| | | | | There are two basic problems in information theory that are very easy to explain. Two people, Alice and Bob, want to communicate over a digital channel over some long period of time, and they know the probability that certain messages will be sent ahead of time. For example, English language sentences are more likely than... | |
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andrea.corbellini.name
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