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Articles 751 - 780 of 807
Full-Text Articles in Mathematics
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.
Solutio Problematis Catoptrici In His Actis A. 1745 Mense Septembri P. I Pag. 523 Propositi, Leonhard Euler
Solutio Problematis Catoptrici In His Actis A. 1745 Mense Septembri P. I Pag. 523 Propositi, 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.
Novae Et Correctae Tabulae Ad Loca Lunae Computanda, Leonhard Euler
Novae Et Correctae Tabulae Ad Loca Lunae Computanda, Leonhard Euler
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No abstract provided.
Dissertation Sur La Meilleure Construction Du Cabestan, Leonhard Euler
Dissertation Sur La Meilleure Construction Du Cabestan, Leonhard Euler
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No abstract provided.
Problema Geometricum Propositum Publice Ab Anonymo Geometra, Leonhard Euler
Problema Geometricum Propositum Publice Ab Anonymo Geometra, Leonhard Euler
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No abstract provided.
Theoria Motuum Planetarum Et Cometarum, Leonhard Euler
Theoria Motuum Planetarum Et Cometarum, Leonhard Euler
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No abstract provided.
De Communicatione Motus In Collisione Corporum Sese Non Directe Percutientium, Leonhard Euler
De Communicatione Motus In Collisione Corporum Sese Non Directe Percutientium, Leonhard Euler
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No abstract provided.
Solutio Problematis In Novorum Actorum Eruditorum Mense Novembri A. 1743 Propositi, Leonhard Euler
Solutio Problematis In Novorum Actorum Eruditorum Mense Novembri A. 1743 Propositi, Leonhard Euler
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No abstract provided.
De Constructione Aequationum, Leonhard Euler
De Constructione Aequationum, Leonhard Euler
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No abstract provided.
Solutio Problematis Geometrici Circa Lunulas A Circulis Formatas, Leonhard Euler
Solutio Problematis Geometrici Circa Lunulas A Circulis Formatas, Leonhard Euler
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No abstract provided.
Leonhardus Eulerus Mathematicus Acutissimus Ad Auctorem, Leonhard Euler
Leonhardus Eulerus Mathematicus Acutissimus Ad Auctorem, Leonhard Euler
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No abstract provided.
De Oscillationibus Fili Flexilis Quotcunque Pondusculis Onusti, Leonhard Euler
De Oscillationibus Fili Flexilis Quotcunque Pondusculis Onusti, Leonhard Euler
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No abstract provided.
Solutio Problematum Rectivicationem Ellipsis Requirentium, Leonhard Euler
Solutio Problematum Rectivicationem Ellipsis Requirentium, Leonhard Euler
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No abstract provided.
De Constructione Aequationum Ope Motus Tractorii Aliisque Ad Methodum Tangentium Inversam Pertinentibus, Leonhard Euler
De Constructione Aequationum Ope Motus Tractorii Aliisque Ad Methodum Tangentium Inversam Pertinentibus, Leonhard Euler
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No abstract provided.
Solutio Problematis Ad Geometriam Situs Pertinentis, Leonhard Euler
Solutio Problematis Ad Geometriam Situs Pertinentis, Leonhard Euler
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No abstract provided.
Curvarum Maximi Minive Proprietate Gaudientium Inventio Nova Et Facilis, Leonhard Euler
Curvarum Maximi Minive Proprietate Gaudientium Inventio Nova Et Facilis, 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.
Methodus Universalis Series Summandi Ulterius Promota, Leonhard Euler
Methodus Universalis Series Summandi Ulterius Promota, Leonhard Euler
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No abstract provided.
Inquisitio Physica In Causam Fluxus Ac Refluxus Maris, Leonhard Euler
Inquisitio Physica In Causam Fluxus Ac Refluxus Maris, Leonhard Euler
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No abstract provided.
Seventeen Letters From Euler To Johann I Bernoulli, 1727-1740, Leonhard Euler
Seventeen Letters From Euler To Johann I Bernoulli, 1727-1740, Leonhard Euler
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No abstract provided.
De Minimis Oscillationibus Corporum Tam Rigidorum Quam Flexibilium. Methodus Nova Et Facilis., Leonhard Euler
De Minimis Oscillationibus Corporum Tam Rigidorum Quam Flexibilium. Methodus Nova Et Facilis., Leonhard Euler
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No abstract provided.
De Progressionibus Harmonicis Observationes, Leonhard Euler
De Progressionibus Harmonicis Observationes, Leonhard Euler
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Euler gives the now-named Euler-Mascheroni constant, accurate to five decimal places, and examines several series related to log(n).
Additamentum Ad Dissertationem De Infinitis Curvis Eiusdem Generis, Leonhard Euler
Additamentum Ad Dissertationem De Infinitis Curvis Eiusdem Generis, 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.
Solutio Problematum Quorundam Astronomicorum, Leonhard Euler
Solutio Problematum Quorundam Astronomicorum, Leonhard Euler
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No abstract provided.
De Infinitis Curvis Eiusdem Generis Seu Methodus Inveniendi Aequationes Pro Infinitis Curvis Eiusdem Generis, Leonhard Euler
De Infinitis Curvis Eiusdem Generis Seu Methodus Inveniendi Aequationes Pro Infinitis Curvis Eiusdem Generis, Leonhard Euler
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No abstract provided.
Tentamen Novae Theoriae Musicae, Leonhard Euler
Tentamen Novae Theoriae Musicae, Leonhard Euler
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No abstract provided.
Dissertatio De Igne In Qua Ejus Natura Et Proprietates Explicantur, Leonhard Euler
Dissertatio De Igne In Qua Ejus Natura Et Proprietates Explicantur, Leonhard Euler
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Euler argues that fire is the result of the bursting of tiny glassy balls of highly compressed air in the pores of bodies, so that "heat consists in a certain motion of the smallest particles of a body." Thus, all the phenomena associated with heat and fire can be deduced from the laws of mechanics without supposing any "occult qualities." He also says that light is the elastic vibration of the ether that is initiated by the explosions of little balls; hence, light is propagated by the same laws as sound.