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| | 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...
| | gilkalai.wordpress.com
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| | Topology Quasi-polynomial algorithms for telling if a knot is trivial Marc Lackenby announced a quasi-polynomial time algorithm to decide whether a given knot is the unknot! This is a big breakthrough. This question is known to be both in NP and in coNP. See this post, and updates there in the comment section. Topology seminar,...
| | ilaba.wordpress.com
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| | The Coven-Meyerowitz conjecture is a tentative characterization of finite sets that tile the integers by translations. It's also something I have been thinking about, on and off, for more than 2 decades; in the last few years, Itay Londner and I were finally able to make some progress on it. This post will provide a...
| | rgoswami.me
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| Chapter II - Statistical Learning All the questions are as per the ISL seventh printing of the First edition1. Question 2.8 - Pages 54-55 This exercise relates to the College data set, which can be found in the file College.csv. It contains a number of variables for \(777\) different universities and colleges in the US. The variables are Private : Public/private indicator Apps : Number of applications received Accept : Number of applicants accepted Enroll : Number of new students enrolled Top10perc : New students from top 10 % of high school class Top25perc : New students from top 25 % of high school class F.