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 kevinventullo.com
Fast Exact Integer Roots - Kevin Ventullo
| | www.kuniga.me
The Basel Problem
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| | NP-Incompleteness:
| | www.bearssl.org
BearSSL - Big Integer Design
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| | cp-algorithms.com
Continued fractions - Algorithms for Competitive Programming
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| | The goal of this project is to translate the wonderful resource http://e-maxx.ru/algo which provides descriptions of many algorithms and data structures especially popular in field of competitive programming. Moreover we want to improve the collected knowledge by extending the articles and adding new articles to the collection.
| | djalil.chafai.net
Sherman inverse problem for Markov matrices - Libres pensées d'un mathématicien ordinaire
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| Let $X$ be an $n\times n$ complex matrix. The eigenvalues $\lambda_1(X), \ldots, \lambda_n(X)$ of $X$ are the roots in $\mathbb{C}$ of its characteristic polynomial. We label them in such a way that $\displaystyle |\lambda_1(X)|\geq\cdots\geq|\lambda_n(X)|$ with growing phases. The spectral radius of $X$ is $\rho(X):=|\lambda_1(X)|$. The singular values $\displaystyle s_1(X)\geq\cdots\geq s_n(X)$ of $X$ are the eigenvalues of the positive semi-definite Hermitian...