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Articles 91 - 97 of 97
Full-Text Articles in Mathematics
De Partitione Numerorum, Leonhard Euler
De Partitione Numerorum, Leonhard Euler
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No abstract provided.
Observationes Analyticae Variae De Combinationibus, Leonhard Euler
Observationes Analyticae Variae De Combinationibus, Leonhard Euler
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No abstract provided.
Solutio Problematis Difficillimi A Fermatio Propositi, Leonhard Euler
Solutio Problematis Difficillimi A Fermatio Propositi, Leonhard Euler
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No abstract provided.
Découverte D'Une Loi Tout Extraordinaire Des Nombres Par Rapport À La Somme De Leurs Diviseurs, Leonhard Euler
Découverte D'Une Loi Tout Extraordinaire Des Nombres Par Rapport À La Somme De Leurs Diviseurs, Leonhard Euler
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No abstract provided.
Theorematum Quorundam Arithmeticorum Demonstrationes, Leonhard Euler
Theorematum Quorundam Arithmeticorum Demonstrationes, Leonhard Euler
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No abstract provided.
Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler
Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler
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Euler proves the Chinese Remainder Theorem by constructing an algorithm to find the smallest number which, divided by given numbers, leaves given remainders. He begins by solving the case in which two relatively prime divisors with corresponding remainders are given and proposes that by repeating his algorithm, he can solve similar problems with any number of constraints. Euler then discusses scenarios in which divisors are not relatively prime, and ends the paper with an application of his algorithm to a classic problem: dating events in Roman indictions.
De Solutione Problematum Diophanteorum Per Numeros Integros, Leonhard Euler
De Solutione Problematum Diophanteorum Per Numeros Integros, Leonhard Euler
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Euler searches for integer solutions to axx+bx+c=yy and considers some applications to figurate numbers.