Lazarus Fuchs (original) (raw)
Lazarus Immanuel Fuchs (1833-1902) va ser un matemàtic alemany, conegut pels seus influents treballs sobre equacions diferencials lineals.
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| dbo:abstract | Lazarus Immanuel Fuchs (1833-1902) va ser un matemàtic alemany, conegut pels seus influents treballs sobre equacions diferencials lineals. (ca) لازاروس فوكس (بالألمانية: Lazarus Immanuel Fuchs ) (و. 1833 – 1902 م) هو رياضياتي، ومدرس، وأستاذ جامعي ألماني، كان عضوًا في الأكاديمية البافارية للعلوم والعلوم الإنسانية (منذ 1898)، والأكاديمية البروسية للعلوم (منذ 1884)، وأكاديمية العلوم في غوتينغن (منذ 1874)، والأكاديمية الملكية السويدية للعلوم، والأكاديمية الألمانية للعلوم ليوبولدينا، والأكاديمية الهنغارية للعلوم، والأكاديمية الروسية للعلوم، توفي في برلين، عن عمر يناهز 69 عاماً. (ar) Immanuel Lazarus Fuchs (* 5. Mai 1833 in Moschin, Provinz Posen; † 26. April 1902 in Berlin) war ein deutscher Mathematiker. (de) Lazarus Immanuel Fuchs (5 de mayo de 1833 - 26 de abril de 1902) fue un matemático alemán que contribuyó con importantes investigaciones en el campo de las ecuaciones diferenciales lineales. (es) Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a Jewish-German mathematician who contributed important research in the field of linear differential equations. He was born in Moschin (Mosina) (located in Grand Duchy of Posen) and died in Berlin, Germany. He was buried in Schöneberg in the St. Matthew's Cemetery. His grave in section H is preserved and listed as a grave of honour of the State of Berlin. He is the eponym of Fuchsian groups and functions, and the Picard–Fuchs equation.A singular point a of a linear differential equation is called Fuchsian if p and q are meromorphic around the point a,and have poles of orders at most 1 and 2, respectively.According to a theorem of Fuchs, this condition is necessary and sufficientfor the regularity of the singular point, that is, to ensure the existenceof two linearly independent solutions of the form where the exponents can be determined from the equation. In the case when is an integer this formula has to be modified. Another well-known result of Fuchs is the Fuchs's conditions, the necessary and sufficient conditionsfor the non-linear differential equation of the form to be free of movable singularities. An interest remark about him as a teacher during the period of his work at the Heidelberg University pertains to his manner of lecturing: his knowledge of the mathematics he was assigned to teach was so deep that he was wont not to prepare before giving a lecture — he would simply improvise on the spot, while exposing the students to the train of thought taken by mathematicians of the finest degree. Lazarus Fuchs was the father of Richard Fuchs, a German mathematician. (en) Lazarus Immanuel Fuchs (5 Mei 1833 – 26 April 1902) adalah seorang matematikawan Yahudi-Jerman yang berjasa pada riset dalam bidang . Ia lahir di (Mosina) (terletak di Keharyapatihan Posen) dan wafat di Berlin, Jerman. (in) Lazarus Immanuel Fuchs (5 mai 1833 - 26 avril 1902) est un mathématicien allemand, né à Mosina (Grand-duché de Posen) et mort à Berlin (Royaume de Prusse). (fr) ラザルス・イマヌエル・フックス（Lazarus Immanuel Fuchs、1833年5月5日 - 1902年4月26日）は、ユダヤ系ドイツ人の数学者で、線型微分方程式の分野における重要な研究により貢献した。 (ja) Lazarus Immanuel Fuchs (Moschin, 5 maggio 1833 – Berlino, 26 aprile 1902) è stato un matematico tedesco, noto per i suoi contributi allo studio delle equazioni differenziali. (it) 라차루스 이마누엘 푹스(독일어: Lazarus Immanuel Fuchs IPA: [ˈlat͡saʀʊs ɪˈmaːnu̯eːl fʊks], 1833년 5월 5일 ~ 1902년 4월 26일)는 에 공헌한 독일의 수학자이다. (ko) Immanuel Lazarus Fuchs (Mosina, 5 mei 1833 - Berlijn, 26 april 1902) was een Duitse wiskundige. Hij promoveerde bij Karl Weierstraß. Onder de studenten die bij hem promoveerden waren Edmund Landau, Issai Schur en Ernst Zermelo, Hij is de naamgever voor de Fuchs-groepen, de Fuchs-functies, en de ; Fuchs-differentiaalvergelijkingen zijn differentiaalvergelijkingen met . Fuchs is ook bekend vanwege de , die stelt dat als x0 een is, dat dan de differentiaalvergelijking ten minste één oplossing heeft van de vorm voor enige nog te bepalen σ. In sommige gevallen zullen er twee lineair onafhankelijke oplossingen van deze vorm zijn. (nl) Lazarus Immanuel Fuchs (Mosina, 5 de maio de 1833 — Berlim, 28 de abril de 1902) foi um matemático alemão que contribuiu com importantes pesquisas no campo das equações diferenciais lineares. O matemático nasceu em Mosina, localizada no Grão-Ducado da Posnânia e morreu em Berlim, Alemanha. Foi enterrado em Schöneberg e foi enterrado diretamente no Alter St.-Matthäus-Kirchhof Berlin. Seu túmulo se encontra no setor H, onde é preservado e caracterizado como túmulo de honra do Estado de Berlim. Grupos e funções fuchsianas foram nomeadas a partir dele, assim como Picard-Fuchs equation. A singularidade matemática de uma equação diferencial linear é chamada de Fuchsiana se p e q forem uma função meromorfa em volta do ponto a, e tenham polos de ordem 1 e 2, respectivamente. De acordo como Teorema de Fuchs, essa condição é necessária e suficiente para a regularidade do ponto singular, isto é, para garantir a existência de duas soluções lineares independentes da forma onde o expoente pode ser determinado pela equação. Nesse caso quando é um número inteiro, essa fórmula deve ser modificada. Outro resultado bem conhecido de Fuchs é a Condição de Fuchs, as condições necessárias e suficientes para a equação diferencial não-linear da forma ser livre de singularidades móveis. (pt) Иммануэль Лазарус (Лазарь) Фукс (нем. Lazarus Immanuel Fuchs, 5 мая 1833, Мосина — 26 апреля 1902, Берлин) — немецкий математик, ученик Карла Вейерштрасса. Член Берлинской академии наук с 1884 года. Почётный член Венгерской академии наук (1899). Признанный авторитет в области линейных дифференциальных уравнений 2-го порядка, где создал обширную научную школу. Работы Фукса оказали большое влияние на Феликса Клейна, Камилла Жордана, Анри Пуанкаре; эти работы заложили основу для создания современной теории дифференциальных уравнений. (ru) Immanuel Lazarus Fuchs (ur. 5 maja 1833 w Mosinie, zm. 26 kwietnia 1902 w Berlinie) - niemiecki matematyk. (pl) Lazarus Immanuel Fuchs, född 5 maj 1833 i Moschin, Posen, död 28 april 1902 i Berlin, var en tysk matematiker. Fuchs vistades under en stor del av sin studietid som informator för den nästan jämnårige, senare berömde matematikern Leo Koenigsberger i dennes föräldrahem och blev sedan jämte Koenigsberger Karl Weierstrass lärjunge vid universitetet i Berlin. Fuchs utnämndes till extra ordinarie professor i Berlin 1866, professor i Greifswald 1869, i Göttingen 1874, i Heidelberg 1875 och åter i Berlin 1884. Han var ledamot av Vetenskapssocieteten i Uppsala från 1892 och invaldes 1898 som utländsk ledamot av Kungliga Vetenskapsakademien. Fuchs utgivna arbeten tillhör huvudsakligen teorin för differentialekvationer. Inom teorin för de så kallade linjära differentialekvationerna har de varit av epokgörande betydelse och bilda grundvalen för nästan alla senare arbeten på detta område. Han har däri i anslutning till en föreläsning av Weierstrass på funktionsteoretisk grundval genomfört studiet av integralernas singulära ställen, vilka för den ifrågavarande klassen av ekvationer har den viktiga egenskapen att vara oberoende av integrationskonstanterna och således bero endast av den givna ekvationens koefficienter. Denna och andra de viktigaste egenskaperna hos de linjära differentialekvationerna var dock redan flera år tidigare kända av Weierstrass, som efterlämnat två fundamentala arbeten häröver, samt även av Bernhard Riemann. Bland hans många övriga arbeten kan nämnas undersökningen om villkoren för att integralen till en icke-linjär differentialekvation skall ha fixa singulära ställen. Efter Kronecker redigerade Fuchs från 1891 till sin död . (sv) |
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| rdfs:comment | Lazarus Immanuel Fuchs (1833-1902) va ser un matemàtic alemany, conegut pels seus influents treballs sobre equacions diferencials lineals. (ca) لازاروس فوكس (بالألمانية: Lazarus Immanuel Fuchs ) (و. 1833 – 1902 م) هو رياضياتي، ومدرس، وأستاذ جامعي ألماني، كان عضوًا في الأكاديمية البافارية للعلوم والعلوم الإنسانية (منذ 1898)، والأكاديمية البروسية للعلوم (منذ 1884)، وأكاديمية العلوم في غوتينغن (منذ 1874)، والأكاديمية الملكية السويدية للعلوم، والأكاديمية الألمانية للعلوم ليوبولدينا، والأكاديمية الهنغارية للعلوم، والأكاديمية الروسية للعلوم، توفي في برلين، عن عمر يناهز 69 عاماً. (ar) Immanuel Lazarus Fuchs (* 5. Mai 1833 in Moschin, Provinz Posen; † 26. April 1902 in Berlin) war ein deutscher Mathematiker. (de) Lazarus Immanuel Fuchs (5 de mayo de 1833 - 26 de abril de 1902) fue un matemático alemán que contribuyó con importantes investigaciones en el campo de las ecuaciones diferenciales lineales. (es) Lazarus Immanuel Fuchs (5 Mei 1833 – 26 April 1902) adalah seorang matematikawan Yahudi-Jerman yang berjasa pada riset dalam bidang . Ia lahir di (Mosina) (terletak di Keharyapatihan Posen) dan wafat di Berlin, Jerman. (in) Lazarus Immanuel Fuchs (5 mai 1833 - 26 avril 1902) est un mathématicien allemand, né à Mosina (Grand-duché de Posen) et mort à Berlin (Royaume de Prusse). (fr) ラザルス・イマヌエル・フックス（Lazarus Immanuel Fuchs、1833年5月5日 - 1902年4月26日）は、ユダヤ系ドイツ人の数学者で、線型微分方程式の分野における重要な研究により貢献した。 (ja) Lazarus Immanuel Fuchs (Moschin, 5 maggio 1833 – Berlino, 26 aprile 1902) è stato un matematico tedesco, noto per i suoi contributi allo studio delle equazioni differenziali. (it) 라차루스 이마누엘 푹스(독일어: Lazarus Immanuel Fuchs IPA: [ˈlat͡saʀʊs ɪˈmaːnu̯eːl fʊks], 1833년 5월 5일 ~ 1902년 4월 26일)는 에 공헌한 독일의 수학자이다. (ko) Иммануэль Лазарус (Лазарь) Фукс (нем. Lazarus Immanuel Fuchs, 5 мая 1833, Мосина — 26 апреля 1902, Берлин) — немецкий математик, ученик Карла Вейерштрасса. Член Берлинской академии наук с 1884 года. Почётный член Венгерской академии наук (1899). Признанный авторитет в области линейных дифференциальных уравнений 2-го порядка, где создал обширную научную школу. Работы Фукса оказали большое влияние на Феликса Клейна, Камилла Жордана, Анри Пуанкаре; эти работы заложили основу для создания современной теории дифференциальных уравнений. (ru) Immanuel Lazarus Fuchs (ur. 5 maja 1833 w Mosinie, zm. 26 kwietnia 1902 w Berlinie) - niemiecki matematyk. (pl) Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a Jewish-German mathematician who contributed important research in the field of linear differential equations. He was born in Moschin (Mosina) (located in Grand Duchy of Posen) and died in Berlin, Germany. He was buried in Schöneberg in the St. Matthew's Cemetery. His grave in section H is preserved and listed as a grave of honour of the State of Berlin. He is the eponym of Fuchsian groups and functions, and the Picard–Fuchs equation.A singular point a of a linear differential equation to be free of movable singularities. (en) Immanuel Lazarus Fuchs (Mosina, 5 mei 1833 - Berlijn, 26 april 1902) was een Duitse wiskundige. Hij promoveerde bij Karl Weierstraß. Onder de studenten die bij hem promoveerden waren Edmund Landau, Issai Schur en Ernst Zermelo, Hij is de naamgever voor de Fuchs-groepen, de Fuchs-functies, en de ; Fuchs-differentiaalvergelijkingen zijn differentiaalvergelijkingen met . Fuchs is ook bekend vanwege de , die stelt dat als x0 een is, dat dan de differentiaalvergelijking ten minste één oplossing heeft van de vorm (nl) Lazarus Immanuel Fuchs (Mosina, 5 de maio de 1833 — Berlim, 28 de abril de 1902) foi um matemático alemão que contribuiu com importantes pesquisas no campo das equações diferenciais lineares. O matemático nasceu em Mosina, localizada no Grão-Ducado da Posnânia e morreu em Berlim, Alemanha. Foi enterrado em Schöneberg e foi enterrado diretamente no Alter St.-Matthäus-Kirchhof Berlin. Seu túmulo se encontra no setor H, onde é preservado e caracterizado como túmulo de honra do Estado de Berlim. ser livre de singularidades móveis. (pt) Lazarus Immanuel Fuchs, född 5 maj 1833 i Moschin, Posen, död 28 april 1902 i Berlin, var en tysk matematiker. Fuchs vistades under en stor del av sin studietid som informator för den nästan jämnårige, senare berömde matematikern Leo Koenigsberger i dennes föräldrahem och blev sedan jämte Koenigsberger Karl Weierstrass lärjunge vid universitetet i Berlin. Fuchs utnämndes till extra ordinarie professor i Berlin 1866, professor i Greifswald 1869, i Göttingen 1874, i Heidelberg 1875 och åter i Berlin 1884. Han var ledamot av Vetenskapssocieteten i Uppsala från 1892 och invaldes 1898 som utländsk ledamot av Kungliga Vetenskapsakademien. (sv) |
| rdfs:label | لازاروس فوكس (ar) Lazarus Fuchs (ca) Lazarus Fuchs (de) Lazarus Fuchs (en) Lazarus Fuchs (es) Lazarus Fuchs (fr) Lazarus Fuchs (in) Lazarus Fuchs (it) 라차루스 푹스 (ko) ラザルス・フックス (ja) Lazarus Fuchs (nl) Lazarus Fuchs (pl) Lazarus Fuchs (pt) Фукс, Иммануэль Лазарус (ru) Lazarus Fuchs (sv) |
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| is dbp:doctoralAdvisor of | dbr:Edmund_Landau dbr:Ernst_Zermelo dbr:Issai_Schur |
| is dbp:doctoralStudents of | dbr:Ernst_Kummer dbr:Karl_Weierstrass |
| is dbp:influences of | dbr:Henri_Poincaré |
| is foaf:primaryTopic of | wikipedia-en:Lazarus_Fuchs |
