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Showing 1 to 2 of 2 for “"Pythagorean Triples"”.
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A discussion of homogenous quadratic equations
… well known proofs, including how to compute all Pythagorean triples and which numbers can be represented by the sum of two and four squares will be presented. Some concepts that follow from these theorems will also be presented. These include how to compute all Pythagorean Quadruples, which …
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An Overview of the Constructive Local Lemma
<p>The Local Lemma has been a powerful tool in probabilistic combinatorics. Recent advances by Moser and Tardos have provided an algorithmic variant of the Local Lemma. We provide an overview of the analysis of their algorithm, and provide an implementation of the algorithm to a hypergraph coloring …