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So far on this blog we've given some introductory notes on a few kinds of algebraic structures in mathematics (most notably groups and rings, but also monoids). Fields are the next natural step in the progression. If the reader is comfortable with rings, then a field is extremely simple to describe: they're just commutative rings with 0 and 1, where every nonzero element has a multiplicative inverse. We'll give a list of all of the properties that go into this "simple" definition in a moment, but an even more simple way to describe a field is as a place where "arithmetic makes sense.
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Exploring 3 different ways of encoding the natural numbers - Read more: https://cronokirby.com/posts/2020/08/encoding-the-naturals/
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| | mattbaker.blog

In honor of Pi Day 2023, I'd like to discuss Hilbert's 7th Problem, which in an oversimplified (and rather vague) form asks: under what circumstances can a transcendental function take algebraic values at algebraic points? The connection with $latex \pi$ is that Lindemann proved in 1882 that the transcendental function $latex f(z) = e^z$ takes...
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| | thecodebarbarian.com

[AI summary] The article discusses aspect-oriented programming (AOP) in JavaScript, focusing on its practical applications, examples, and comparison with object-oriented programming.
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