"Lazarus Immanuel Fuchs (1833-1902) va ser un matem\u00E0tic alemany, conegut pels seus influents treballs sobre equacions diferencials lineals."@ca . "2817087"^^ . . . . . . "Lazarus Immanuel Fuchs (5 de mayo de 1833 - 26 de abril de 1902) fue un matem\u00E1tico alem\u00E1n que contribuy\u00F3 con importantes investigaciones en el campo de las ecuaciones diferenciales lineales.\u200B"@es . . . . . . . . . . . . . "Lazarus Immanuel Fuchs"@en . . . . . . . . "\u0644\u0627\u0632\u0627\u0631\u0648\u0633 \u0641\u0648\u0643\u0633"@ar . . . . . "\u30E9\u30B6\u30EB\u30B9\u30FB\u30D5\u30C3\u30AF\u30B9"@ja . . . . . "\uB77C\uCC28\uB8E8\uC2A4 \uD479\uC2A4"@ko . . . "Fuchsian groups"@en . . . . . . . . . . "\u30E9\u30B6\u30EB\u30B9\u30FB\u30A4\u30DE\u30CC\u30A8\u30EB\u30FB\u30D5\u30C3\u30AF\u30B9\uFF08Lazarus Immanuel Fuchs\u30011833\u5E745\u67085\u65E5 - 1902\u5E744\u670826\u65E5\uFF09\u306F\u3001\u30E6\u30C0\u30E4\u7CFB\u30C9\u30A4\u30C4\u4EBA\u306E\u6570\u5B66\u8005\u3067\u3001\u7DDA\u578B\u5FAE\u5206\u65B9\u7A0B\u5F0F\u306E\u5206\u91CE\u306B\u304A\u3051\u308B\u91CD\u8981\u306A\u7814\u7A76\u306B\u3088\u308A\u8CA2\u732E\u3057\u305F\u3002"@ja . . . . . . . . . "Lazarus Immanuel Fuchs (1833-1902) va ser un matem\u00E0tic alemany, conegut pels seus influents treballs sobre equacions diferencials lineals."@ca . . . "Lazarus Fuchs"@es . . . . . . . . . . . . "Lazarus Fuchs"@it . . "Lazarus Fuchs"@de . "\uB77C\uCC28\uB8E8\uC2A4 \uC774\uB9C8\uB204\uC5D8 \uD479\uC2A4(\uB3C5\uC77C\uC5B4: Lazarus Immanuel Fuchs IPA: [\u02C8lat\u0361sa\u0280\u028As \u026A\u02C8ma\u02D0nu\u032Fe\u02D0l f\u028Aks], 1833\uB144 5\uC6D4 5\uC77C ~ 1902\uB144 4\uC6D4 26\uC77C)\uB294 \uC5D0 \uACF5\uD5CC\uD55C \uB3C5\uC77C\uC758 \uC218\uD559\uC790\uC774\uB2E4."@ko . . . "Lazarus Fuchs"@ca . . . "Lazarus Fuchs"@en . . "Lazarus Fuchs"@nl . . . . . "Lazarus Immanuel Fuchs (Mosina, 5 de maio de 1833 \u2014 Berlim, 28 de abril de 1902) foi um matem\u00E1tico alem\u00E3o que contribuiu com importantes pesquisas no campo das equa\u00E7\u00F5es diferenciais lineares. O matem\u00E1tico nasceu em Mosina, localizada no Gr\u00E3o-Ducado da Posn\u00E2nia e morreu em Berlim, Alemanha. Foi enterrado em Sch\u00F6neberg e foi enterrado diretamente no Alter St.-Matth\u00E4us-Kirchhof Berlin. Seu t\u00FAmulo se encontra no setor H, onde \u00E9 preservado e caracterizado como t\u00FAmulo de honra do Estado de Berlim. Grupos e fun\u00E7\u00F5es fuchsianas foram nomeadas a partir dele, assim como Picard-Fuchs equation. A singularidade matem\u00E1tica de uma equa\u00E7\u00E3o diferencial linear \u00E9 chamada de Fuchsiana se p e q forem uma fun\u00E7\u00E3o meromorfa em volta do ponto a, e tenham polos de ordem 1 e 2, respectivamente. De acordo como Teorema de Fuchs, essa condi\u00E7\u00E3o \u00E9 necess\u00E1ria e suficiente para a regularidade do ponto singular, isto \u00E9, para garantir a exist\u00EAncia de duas solu\u00E7\u00F5es lineares independentes da forma onde o expoente pode ser determinado pela equa\u00E7\u00E3o. Nesse caso quando \u00E9 um n\u00FAmero inteiro, essa f\u00F3rmula deve ser modificada. Outro resultado bem conhecido de Fuchs \u00E9 a Condi\u00E7\u00E3o de Fuchs, as condi\u00E7\u00F5es necess\u00E1rias e suficientes para a equa\u00E7\u00E3o diferencial n\u00E3o-linear da forma ser livre de singularidades m\u00F3veis."@pt . "Lazarus Fuchs"@fr . . . . . . . . . "Lazarus Fuchs"@pt . . "Lazarus Immanuel Fuchs, f\u00F6dd 5 maj 1833 i Moschin, Posen, d\u00F6d 28 april 1902 i Berlin, var en tysk matematiker. Fuchs vistades under en stor del av sin studietid som informator f\u00F6r den n\u00E4stan j\u00E4mn\u00E5rige, senare ber\u00F6mde matematikern Leo Koenigsberger i dennes f\u00F6r\u00E4ldrahem och blev sedan j\u00E4mte Koenigsberger Karl Weierstrass l\u00E4rjunge vid universitetet i Berlin. Fuchs utn\u00E4mndes till extra ordinarie professor i Berlin 1866, professor i Greifswald 1869, i G\u00F6ttingen 1874, i Heidelberg 1875 och \u00E5ter i Berlin 1884. Han var ledamot av Vetenskapssocieteten i Uppsala fr\u00E5n 1892 och invaldes 1898 som utl\u00E4ndsk ledamot av Kungliga Vetenskapsakademien. Fuchs utgivna arbeten tillh\u00F6r huvudsakligen teorin f\u00F6r differentialekvationer. Inom teorin f\u00F6r de s\u00E5 kallade linj\u00E4ra differentialekvationerna har de varit av epokg\u00F6rande betydelse och bilda grundvalen f\u00F6r n\u00E4stan alla senare arbeten p\u00E5 detta omr\u00E5de. Han har d\u00E4ri i anslutning till en f\u00F6rel\u00E4sning av Weierstrass p\u00E5 funktionsteoretisk grundval genomf\u00F6rt studiet av integralernas singul\u00E4ra st\u00E4llen, vilka f\u00F6r den ifr\u00E5gavarande klassen av ekvationer har den viktiga egenskapen att vara oberoende av integrationskonstanterna och s\u00E5ledes bero endast av den givna ekvationens koefficienter. Denna och andra de viktigaste egenskaperna hos de linj\u00E4ra differentialekvationerna var dock redan flera \u00E5r tidigare k\u00E4nda av Weierstrass, som efterl\u00E4mnat tv\u00E5 fundamentala arbeten h\u00E4r\u00F6ver, samt \u00E4ven av Bernhard Riemann. Bland hans m\u00E5nga \u00F6vriga arbeten kan n\u00E4mnas unders\u00F6kningen om villkoren f\u00F6r att integralen till en icke-linj\u00E4r differentialekvation skall ha fixa singul\u00E4ra st\u00E4llen. Efter Kronecker redigerade Fuchs fr\u00E5n 1891 till sin d\u00F6d ."@sv . "\u0418\u043C\u043C\u0430\u043D\u0443\u044D\u043B\u044C \u041B\u0430\u0437\u0430\u0440\u0443\u0441 (\u041B\u0430\u0437\u0430\u0440\u044C) \u0424\u0443\u043A\u0441 (\u043D\u0435\u043C. Lazarus Immanuel Fuchs, 5 \u043C\u0430\u044F 1833, \u041C\u043E\u0441\u0438\u043D\u0430 \u2014 26 \u0430\u043F\u0440\u0435\u043B\u044F 1902, \u0411\u0435\u0440\u043B\u0438\u043D) \u2014 \u043D\u0435\u043C\u0435\u0446\u043A\u0438\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A, \u0443\u0447\u0435\u043D\u0438\u043A \u041A\u0430\u0440\u043B\u0430 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430. \u0427\u043B\u0435\u043D \u0411\u0435\u0440\u043B\u0438\u043D\u0441\u043A\u043E\u0439 \u0430\u043A\u0430\u0434\u0435\u043C\u0438\u0438 \u043D\u0430\u0443\u043A \u0441 1884 \u0433\u043E\u0434\u0430. \u041F\u043E\u0447\u0451\u0442\u043D\u044B\u0439 \u0447\u043B\u0435\u043D \u0412\u0435\u043D\u0433\u0435\u0440\u0441\u043A\u043E\u0439 \u0430\u043A\u0430\u0434\u0435\u043C\u0438\u0438 \u043D\u0430\u0443\u043A (1899). \u041F\u0440\u0438\u0437\u043D\u0430\u043D\u043D\u044B\u0439 \u0430\u0432\u0442\u043E\u0440\u0438\u0442\u0435\u0442 \u0432 \u043E\u0431\u043B\u0430\u0441\u0442\u0438 \u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0445 \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043D\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0445 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439 2-\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0430, \u0433\u0434\u0435 \u0441\u043E\u0437\u0434\u0430\u043B \u043E\u0431\u0448\u0438\u0440\u043D\u0443\u044E \u043D\u0430\u0443\u0447\u043D\u0443\u044E \u0448\u043A\u043E\u043B\u0443. \u0420\u0430\u0431\u043E\u0442\u044B \u0424\u0443\u043A\u0441\u0430 \u043E\u043A\u0430\u0437\u0430\u043B\u0438 \u0431\u043E\u043B\u044C\u0448\u043E\u0435 \u0432\u043B\u0438\u044F\u043D\u0438\u0435 \u043D\u0430 \u0424\u0435\u043B\u0438\u043A\u0441\u0430 \u041A\u043B\u0435\u0439\u043D\u0430, \u041A\u0430\u043C\u0438\u043B\u043B\u0430 \u0416\u043E\u0440\u0434\u0430\u043D\u0430, \u0410\u043D\u0440\u0438 \u041F\u0443\u0430\u043D\u043A\u0430\u0440\u0435; \u044D\u0442\u0438 \u0440\u0430\u0431\u043E\u0442\u044B \u0437\u0430\u043B\u043E\u0436\u0438\u043B\u0438 \u043E\u0441\u043D\u043E\u0432\u0443 \u0434\u043B\u044F \u0441\u043E\u0437\u0434\u0430\u043D\u0438\u044F \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u043E\u0439 \u0442\u0435\u043E\u0440\u0438\u0438 \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043D\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0445 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439."@ru . . . . "Immanuel Lazarus Fuchs (* 5. Mai 1833 in Moschin, Provinz Posen; \u2020 26. April 1902 in Berlin) war ein deutscher Mathematiker."@de . . . . . . . . . . . . . "Immanuel Lazarus Fuchs (Mosina, 5 mei 1833 - Berlijn, 26 april 1902) was een Duitse wiskundige. Hij promoveerde bij Karl Weierstra\u00DF. 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 \u00E9\u00E9n oplossing heeft van de vorm voor enige nog te bepalen \u03C3. In sommige gevallen zullen er twee lineair onafhankelijke oplossingen van deze vorm zijn."@nl . . . . . . . . . . . . . "Lazarus Fuchs"@sv . . . . . . . . "Immanuel Lazarus Fuchs (* 5. Mai 1833 in Moschin, Provinz Posen; \u2020 26. April 1902 in Berlin) war ein deutscher Mathematiker."@de . "\u0644\u0627\u0632\u0627\u0631\u0648\u0633 \u0641\u0648\u0643\u0633 (\u0628\u0627\u0644\u0623\u0644\u0645\u0627\u0646\u064A\u0629: Lazarus Immanuel Fuchs )\u200F (\u0648. 1833 \u2013 1902 \u0645) \u0647\u0648 \u0631\u064A\u0627\u0636\u064A\u0627\u062A\u064A\u060C \u0648\u0645\u062F\u0631\u0633\u060C \u0648\u0623\u0633\u062A\u0627\u0630 \u062C\u0627\u0645\u0639\u064A \u0623\u0644\u0645\u0627\u0646\u064A\u060C \u0643\u0627\u0646 \u0639\u0636\u0648\u064B\u0627 \u0641\u064A \u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0628\u0627\u0641\u0627\u0631\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0648\u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0625\u0646\u0633\u0627\u0646\u064A\u0629 (\u0645\u0646\u0630 1898)\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0628\u0631\u0648\u0633\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 (\u0645\u0646\u0630 1884)\u060C \u0648\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0641\u064A \u063A\u0648\u062A\u064A\u0646\u063A\u0646 (\u0645\u0646\u0630 1874)\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0645\u0644\u0643\u064A\u0629 \u0627\u0644\u0633\u0648\u064A\u062F\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0623\u0644\u0645\u0627\u0646\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0644\u064A\u0648\u0628\u0648\u0644\u062F\u064A\u0646\u0627\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0647\u0646\u063A\u0627\u0631\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0631\u0648\u0633\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645\u060C \u062A\u0648\u0641\u064A \u0641\u064A \u0628\u0631\u0644\u064A\u0646\u060C \u0639\u0646 \u0639\u0645\u0631 \u064A\u0646\u0627\u0647\u0632 69 \u0639\u0627\u0645\u0627\u064B."@ar . . "Lazarus Immanuel Fuchs (5 mai 1833 - 26 avril 1902) est un math\u00E9maticien allemand, n\u00E9 \u00E0 Mosina (Grand-duch\u00E9 de Posen) et mort \u00E0 Berlin (Royaume de Prusse)."@fr . "Lazarus Fuchs"@pl . . . . . . . "Immanuel Lazarus Fuchs (Mosina, 5 mei 1833 - Berlijn, 26 april 1902) was een Duitse wiskundige. Hij promoveerde bij Karl Weierstra\u00DF. 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 \u00E9\u00E9n oplossing heeft van de vorm"@nl . . "Lazarus Fuchs"@in . . "Lazarus Immanuel Fuchs (5 de mayo de 1833 - 26 de abril de 1902) fue un matem\u00E1tico alem\u00E1n que contribuy\u00F3 con importantes investigaciones en el campo de las ecuaciones diferenciales lineales.\u200B"@es . . . . . . . . . . . . . . . "1833-05-05"^^ . . . . . "Immanuel Lazarus Fuchs (ur. 5 maja 1833 w Mosinie, zm. 26 kwietnia 1902 w Berlinie) - niemiecki matematyk."@pl . . . . "Lazarus Fuchs"@en . "Lazarus Immanuel Fuchs (5 May 1833 \u2013 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 Sch\u00F6neberg 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\u2013Fuchs equation.A singular point a of a linear differential equation to be free of movable singularities."@en . "\u0644\u0627\u0632\u0627\u0631\u0648\u0633 \u0641\u0648\u0643\u0633 (\u0628\u0627\u0644\u0623\u0644\u0645\u0627\u0646\u064A\u0629: Lazarus Immanuel Fuchs )\u200F (\u0648. 1833 \u2013 1902 \u0645) \u0647\u0648 \u0631\u064A\u0627\u0636\u064A\u0627\u062A\u064A\u060C \u0648\u0645\u062F\u0631\u0633\u060C \u0648\u0623\u0633\u062A\u0627\u0630 \u062C\u0627\u0645\u0639\u064A \u0623\u0644\u0645\u0627\u0646\u064A\u060C \u0643\u0627\u0646 \u0639\u0636\u0648\u064B\u0627 \u0641\u064A \u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0628\u0627\u0641\u0627\u0631\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0648\u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0625\u0646\u0633\u0627\u0646\u064A\u0629 (\u0645\u0646\u0630 1898)\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0628\u0631\u0648\u0633\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 (\u0645\u0646\u0630 1884)\u060C \u0648\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0641\u064A \u063A\u0648\u062A\u064A\u0646\u063A\u0646 (\u0645\u0646\u0630 1874)\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0645\u0644\u0643\u064A\u0629 \u0627\u0644\u0633\u0648\u064A\u062F\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0623\u0644\u0645\u0627\u0646\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0644\u064A\u0648\u0628\u0648\u0644\u062F\u064A\u0646\u0627\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0647\u0646\u063A\u0627\u0631\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645\u060C \u0648\u0627\u0644\u0623\u0643\u0627\u062F\u064A\u0645\u064A\u0629 \u0627\u0644\u0631\u0648\u0633\u064A\u0629 \u0644\u0644\u0639\u0644\u0648\u0645\u060C \u062A\u0648\u0641\u064A \u0641\u064A \u0628\u0631\u0644\u064A\u0646\u060C \u0639\u0646 \u0639\u0645\u0631 \u064A\u0646\u0627\u0647\u0632 69 \u0639\u0627\u0645\u0627\u064B."@ar . "Lazarus Fuchs"@en . . . "Lazarus Immanuel Fuchs (Moschin, 5 maggio 1833 \u2013 Berlino, 26 aprile 1902) \u00E8 stato un matematico tedesco, noto per i suoi contributi allo studio delle equazioni differenziali."@it . "1902-04-26"^^ . . "Lazarus Immanuel Fuchs (5 Mei 1833 \u2013 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 . . . . . "\uB77C\uCC28\uB8E8\uC2A4 \uC774\uB9C8\uB204\uC5D8 \uD479\uC2A4(\uB3C5\uC77C\uC5B4: Lazarus Immanuel Fuchs IPA: [\u02C8lat\u0361sa\u0280\u028As \u026A\u02C8ma\u02D0nu\u032Fe\u02D0l f\u028Aks], 1833\uB144 5\uC6D4 5\uC77C ~ 1902\uB144 4\uC6D4 26\uC77C)\uB294 \uC5D0 \uACF5\uD5CC\uD55C \uB3C5\uC77C\uC758 \uC218\uD559\uC790\uC774\uB2E4."@ko . "1902-04-26"^^ . . . . . . . . "Lazarus Immanuel Fuchs (Moschin, 5 maggio 1833 \u2013 Berlino, 26 aprile 1902) \u00E8 stato un matematico tedesco, noto per i suoi contributi allo studio delle equazioni differenziali."@it . . . . . . . . . . . . "1833-05-05"^^ . "Lazarus Immanuel Fuchs (5 Mei 1833 \u2013 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 . "6040"^^ . . . . . "1098476494"^^ . . . . . . . . . "Immanuel Lazarus Fuchs (ur. 5 maja 1833 w Mosinie, zm. 26 kwietnia 1902 w Berlinie) - niemiecki matematyk."@pl . . "Lazarus Immanuel Fuchs, f\u00F6dd 5 maj 1833 i Moschin, Posen, d\u00F6d 28 april 1902 i Berlin, var en tysk matematiker. Fuchs vistades under en stor del av sin studietid som informator f\u00F6r den n\u00E4stan j\u00E4mn\u00E5rige, senare ber\u00F6mde matematikern Leo Koenigsberger i dennes f\u00F6r\u00E4ldrahem och blev sedan j\u00E4mte Koenigsberger Karl Weierstrass l\u00E4rjunge vid universitetet i Berlin. Fuchs utn\u00E4mndes till extra ordinarie professor i Berlin 1866, professor i Greifswald 1869, i G\u00F6ttingen 1874, i Heidelberg 1875 och \u00E5ter i Berlin 1884. Han var ledamot av Vetenskapssocieteten i Uppsala fr\u00E5n 1892 och invaldes 1898 som utl\u00E4ndsk ledamot av Kungliga Vetenskapsakademien."@sv . . . . "\u0424\u0443\u043A\u0441, \u0418\u043C\u043C\u0430\u043D\u0443\u044D\u043B\u044C \u041B\u0430\u0437\u0430\u0440\u0443\u0441"@ru . . "\u0418\u043C\u043C\u0430\u043D\u0443\u044D\u043B\u044C \u041B\u0430\u0437\u0430\u0440\u0443\u0441 (\u041B\u0430\u0437\u0430\u0440\u044C) \u0424\u0443\u043A\u0441 (\u043D\u0435\u043C. Lazarus Immanuel Fuchs, 5 \u043C\u0430\u044F 1833, \u041C\u043E\u0441\u0438\u043D\u0430 \u2014 26 \u0430\u043F\u0440\u0435\u043B\u044F 1902, \u0411\u0435\u0440\u043B\u0438\u043D) \u2014 \u043D\u0435\u043C\u0435\u0446\u043A\u0438\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A, \u0443\u0447\u0435\u043D\u0438\u043A \u041A\u0430\u0440\u043B\u0430 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430. \u0427\u043B\u0435\u043D \u0411\u0435\u0440\u043B\u0438\u043D\u0441\u043A\u043E\u0439 \u0430\u043A\u0430\u0434\u0435\u043C\u0438\u0438 \u043D\u0430\u0443\u043A \u0441 1884 \u0433\u043E\u0434\u0430. \u041F\u043E\u0447\u0451\u0442\u043D\u044B\u0439 \u0447\u043B\u0435\u043D \u0412\u0435\u043D\u0433\u0435\u0440\u0441\u043A\u043E\u0439 \u0430\u043A\u0430\u0434\u0435\u043C\u0438\u0438 \u043D\u0430\u0443\u043A (1899). \u041F\u0440\u0438\u0437\u043D\u0430\u043D\u043D\u044B\u0439 \u0430\u0432\u0442\u043E\u0440\u0438\u0442\u0435\u0442 \u0432 \u043E\u0431\u043B\u0430\u0441\u0442\u0438 \u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0445 \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043D\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0445 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439 2-\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0430, \u0433\u0434\u0435 \u0441\u043E\u0437\u0434\u0430\u043B \u043E\u0431\u0448\u0438\u0440\u043D\u0443\u044E \u043D\u0430\u0443\u0447\u043D\u0443\u044E \u0448\u043A\u043E\u043B\u0443. \u0420\u0430\u0431\u043E\u0442\u044B \u0424\u0443\u043A\u0441\u0430 \u043E\u043A\u0430\u0437\u0430\u043B\u0438 \u0431\u043E\u043B\u044C\u0448\u043E\u0435 \u0432\u043B\u0438\u044F\u043D\u0438\u0435 \u043D\u0430 \u0424\u0435\u043B\u0438\u043A\u0441\u0430 \u041A\u043B\u0435\u0439\u043D\u0430, \u041A\u0430\u043C\u0438\u043B\u043B\u0430 \u0416\u043E\u0440\u0434\u0430\u043D\u0430, \u0410\u043D\u0440\u0438 \u041F\u0443\u0430\u043D\u043A\u0430\u0440\u0435; \u044D\u0442\u0438 \u0440\u0430\u0431\u043E\u0442\u044B \u0437\u0430\u043B\u043E\u0436\u0438\u043B\u0438 \u043E\u0441\u043D\u043E\u0432\u0443 \u0434\u043B\u044F \u0441\u043E\u0437\u0434\u0430\u043D\u0438\u044F \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u043E\u0439 \u0442\u0435\u043E\u0440\u0438\u0438 \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043D\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0445 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439."@ru . . . "Lazarus Immanuel Fuchs (5 May 1833 \u2013 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 Sch\u00F6neberg 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\u2013Fuchs 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 \u2014 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 . . "\u30E9\u30B6\u30EB\u30B9\u30FB\u30A4\u30DE\u30CC\u30A8\u30EB\u30FB\u30D5\u30C3\u30AF\u30B9\uFF08Lazarus Immanuel Fuchs\u30011833\u5E745\u67085\u65E5 - 1902\u5E744\u670826\u65E5\uFF09\u306F\u3001\u30E6\u30C0\u30E4\u7CFB\u30C9\u30A4\u30C4\u4EBA\u306E\u6570\u5B66\u8005\u3067\u3001\u7DDA\u578B\u5FAE\u5206\u65B9\u7A0B\u5F0F\u306E\u5206\u91CE\u306B\u304A\u3051\u308B\u91CD\u8981\u306A\u7814\u7A76\u306B\u3088\u308A\u8CA2\u732E\u3057\u305F\u3002"@ja . . . . . . . "Lazarus Immanuel Fuchs (5 mai 1833 - 26 avril 1902) est un math\u00E9maticien allemand, n\u00E9 \u00E0 Mosina (Grand-duch\u00E9 de Posen) et mort \u00E0 Berlin (Royaume de Prusse)."@fr . . "Lazarus Immanuel Fuchs (Mosina, 5 de maio de 1833 \u2014 Berlim, 28 de abril de 1902) foi um matem\u00E1tico alem\u00E3o que contribuiu com importantes pesquisas no campo das equa\u00E7\u00F5es diferenciais lineares. O matem\u00E1tico nasceu em Mosina, localizada no Gr\u00E3o-Ducado da Posn\u00E2nia e morreu em Berlim, Alemanha. Foi enterrado em Sch\u00F6neberg e foi enterrado diretamente no Alter St.-Matth\u00E4us-Kirchhof Berlin. Seu t\u00FAmulo se encontra no setor H, onde \u00E9 preservado e caracterizado como t\u00FAmulo de honra do Estado de Berlim. ser livre de singularidades m\u00F3veis."@pt .