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existentialtype.wordpress.com | ||
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rjlipton.com
A new way to write mathematics Vladimir Voevodsky won the Fields Medal in 2002 for his work on homotopy theory of algebraic varieties. Using his pioneering methods he proved, among many other things, a deep conjecture of John Milnor, that had been open for decades. Today I want to talk about, no, rant about, a... |
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pressron.wordpress.com
Abstract: Machine and language models of computation differ so greatly in the computational complexity properties of their representation that they form two distinct classes that cannot be directly compared in a meaningful way. While machine models are self-contained, the properties of the language models indicate that they require a computationally powerful collaborator, and are better... |
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www.jeremykun.com
For those who aren't regular readers: as a followup to this post, there are four posts detailing the basic four methods of proof, with intentions to detail some more advanced proof techniques in the future. You can find them on this blog's primers page. Do you really want to get better at mathematics? Remember when you first learned how to program? I do. I spent two years experimenting with Java programs on my own in high school. |
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bartoszmilewski.com
In the previous instalment of Category Theory for Programmers we talked about the category of types and functions. If you're new to the series, here's the Table of Contents. You can get real appreciation for categories by studying a variety of examples. Categories come in all shapes and sizes and often pop up in unexpected... |
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