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Articles 32491 - 32515 of 32515
Full-Text Articles in Entire DC Network
Principes Généraux De L'État D'Équilibre Des Fluides, Leonhard Euler
Principes Généraux De L'État D'Équilibre Des Fluides, Leonhard Euler
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No abstract provided.
Solutio Problematis Geometrici, Leonhard Euler
Solutio Problematis Geometrici, Leonhard Euler
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No abstract provided.
Sur Le Principe De La Moindre Action, Leonhard Euler
Sur Le Principe De La Moindre Action, Leonhard Euler
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No abstract provided.
Découverte D'Un Nouveau Principe De Mécanique, Leonhard Euler
Découverte D'Un Nouveau Principe De Mécanique, Leonhard Euler
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No abstract provided.
Theoremata Circa Divisores Numerorum In Hac Forma Paa&Pm;Qbb Contentorum, Leonhard Euler
Theoremata Circa Divisores Numerorum In Hac Forma Paa&Pm;Qbb Contentorum, Leonhard Euler
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No abstract provided.
Sur Une Contradiction Apparente Dans La Doctrine Des Lignes Courbes, Leonhard Euler
Sur Une Contradiction Apparente Dans La Doctrine Des Lignes Courbes, Leonhard Euler
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No abstract provided.
Démonstration Sur Le Nombre Des Points, Où Deux Lignes Des Ordres Quelconques Peuvent Se Couper, Leonhard Euler
Démonstration Sur Le Nombre Des Points, Où Deux Lignes Des Ordres Quelconques Peuvent Se Couper, Leonhard Euler
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No abstract provided.
Demonstratio Gemina Theorematis Neutoniani, Quo Traditur Relatio Inter Coefficientes Cuiusvis Aequationis Algebraicae Et Summas Potestatum Radicum Eiusdem, Leonhard Euler
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No abstract provided.
Réflexions Sur L'Espace Et Le Tems, Leonhard Euler
Réflexions Sur L'Espace Et Le Tems, Leonhard Euler
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No abstract provided.
De Novo Genere Oscillationum, Leonhard Euler
De Novo Genere Oscillationum, Leonhard Euler
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No abstract provided.
De Numeris Amicabilibus, Leonhard Euler
De Numeris Amicabilibus, Leonhard Euler
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No abstract provided.
Rettung Der Göttlichen Offenbahrung Gegen Die Einwürfe Der Freygeister, Leonhard Euler
Rettung Der Göttlichen Offenbahrung Gegen Die Einwürfe Der Freygeister, Leonhard Euler
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No abstract provided.
De Motu Cymbarum Remis Propulsarum In Fluviis, Leonhard Euler
De Motu Cymbarum Remis Propulsarum In Fluviis, Leonhard Euler
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No abstract provided.
Nova Theoria Lucis Et Colorum, Leonhard Euler
Nova Theoria Lucis Et Colorum, Leonhard Euler
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No abstract provided.
Enodatio Quaestionis Utrum Materiae Facultas Cogitandi Tribui Possit Necne, Leonhard Euler
Enodatio Quaestionis Utrum Materiae Facultas Cogitandi Tribui Possit Necne, Leonhard Euler
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No abstract provided.
Sur Quelques Proprietés Des Sections Coniques, Qui Conviennent À Une Infinité D'Autres Lignes Courbes, Leonhard Euler
Sur Quelques Proprietés Des Sections Coniques, Qui Conviennent À Une Infinité D'Autres Lignes Courbes, Leonhard Euler
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No abstract provided.
Recherches Physiques Sur La Nature Des Moindres Parties De La Matière, Leonhard Euler
Recherches Physiques Sur La Nature Des Moindres Parties De La Matière, Leonhard Euler
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No abstract provided.
Variae Observationes Circa Series Infinitas, Leonhard Euler
Variae Observationes Circa Series Infinitas, Leonhard Euler
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No abstract provided.
Inventio Summae Cuiusque Seriei Ex Dato Termino Generali, Leonhard Euler
Inventio Summae Cuiusque Seriei Ex Dato Termino Generali, Leonhard Euler
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Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor series, builds a "Bernoulli polynomial" and uses it to evaluate 0n + 1n + 2n + 3n + ... + (x-1)n, (x = 1, 2, 3, ...) and gets the relationship (B+1)n+1 – Bn+1 = 0 for Bernoulli numbers. He gets an infinite series approximation for the nth partial sum of the harmonic series.
Investigatio Binarum Curvarum, Quarum Arcus Eidem Abscissae Respondentes Summam Algebraicam Constituant, Leonhard Euler
Investigatio Binarum Curvarum, Quarum Arcus Eidem Abscissae Respondentes Summam Algebraicam Constituant, 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 Curvis Rectificabilibus Algebraicis Atque Traiectoriis Reciprocis Algebraicis, Leonhard Euler
De Curvis Rectificabilibus Algebraicis Atque Traiectoriis Reciprocis Algebraicis, Leonhard Euler
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No abstract provided.
De Progressionibus Transcendentibus Seu Quarum Termini Generales Algebraice Dari Nequeunt, Leonhard Euler
De Progressionibus Transcendentibus Seu Quarum Termini Generales Algebraice Dari Nequeunt, Leonhard Euler
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No abstract provided.
De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler
De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler
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For an equation of degree n, Euler wants to define a "resolvent equation" of degree n-1 whose roots are related to the roots of the original equation. Thus, by solving the resolvent one can solve the original equation. In sections 2 to 7 he works this out for quadratic, cubic, and biquadratic equations. In section 8 Euler says that he wants to try the same approach for solving the quintic equation and general nth degree equations. In the rest of the paper he tries to figure out in what cases resolvents will work.
Von Der Gestalt Der Erden, Leonhard Euler
Von Der Gestalt Der Erden, Leonhard Euler
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No abstract provided.