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mattbaker.blog
| | qchu.wordpress.com
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| | As an undergraduate the proofs I saw of the Sylow theorems seemed very complicated and I was totally unable to remember them. The goal of this post is to explain proofs of the Sylow theorems which I am actually able to remember, several of which use our old friend The $latex p$-group fixed point theorem...
| | awwalker.com
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| | One of the better-known proofs of quadratic reciprocity involves the Gauss sums. This post gives a variant proof which motivates the introduction of Gauss sums using the Jacobi theta function.
| | jmanton.wordpress.com
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| | The following hints atwhy the quintic equation cannot be solved using radicals. It follows the approach in the first part of Ian Stewart's book "Galois Theory". If time permits, a future post will summarise the approach in V. B. Alekseev's book "Abel's Theorem in Problems and Solutions". Another candidate is Klein's book "Lectures on the...
| | sebastianraschka.com
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| I'm Sebastian: a machine learning & AI researcher, programmer, and author. As Staff Research Engineer Lightning AI, I focus on the intersection of AI research, software development, and large language models (LLMs).