• Thumbnail for Eberhard Hopf
    Eberhard Frederich Ferdinand Hopf (April 4, 1902 in Salzburg, Austria-Hungary – July 24, 1983 in Bloomington, Indiana, USA) was a German mathematician...
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  • Thumbnail for Hopf bifurcation
    changes. A Hopf bifurcation is also known as a Poincaré–Andronov–Hopf bifurcation, named after Henri Poincaré, Aleksandr Andronov and Eberhard Hopf. The limit...
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  • In physics, the Landau–Hopf theory of turbulence, named for Lev Landau and Eberhard Hopf, was until the mid-1970s,[clarification needed] the accepted...
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  • Hopf is a German surname. Notable people with the surname include: Eberhard Hopf (1902–1983), Austrian mathematician Hans Hopf (1916–1993), German tenor...
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  • principle for harmonic functions which was already known to Gauss in 1839, Eberhard Hopf proved in 1927 that if a function satisfies a second order partial differential...
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  • geodesic flow on Riemannian manifolds, starting with the results of Eberhard Hopf for Riemann surfaces of negative curvature. Markov chains form a common...
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  • Wiener–Hopf method is a mathematical technique widely used in applied mathematics. It was initially developed by Norbert Wiener and Eberhard Hopf as a method...
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  • mathematics, Hopf conjecture may refer to one of several conjectural statements from differential geometry and topology attributed to Heinz Hopf. The Hopf conjecture...
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  • In mathematics, the Hopf decomposition, named after Eberhard Hopf, gives a canonical decomposition of a measure space (X, μ) with respect to an invertible...
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  • In mathematics, the Hopf lemma, named after Eberhard Hopf, states that if a continuous real-valued function in a domain in Euclidean space with sufficiently...
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  • Thumbnail for Burgers' equation
    Mathematics. 9 (3): 225–236. doi:10.1090/qam/42889. JSTOR 43633894. Eberhard Hopf (September 1950). "The partial differential equation ut + uux = μuxx"...
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  • Mathematics. 9 (3): 225–236. doi:10.1090/qam/42889. ISSN 0033-569X. Hopf, Eberhard (1950). "The partial differential equation ut + uux = μxx". Communications...
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  • Edmund Hess Karl Hessenberg David Hilbert Friedrich Hirzebruch Eberhard Hopf Heinz Hopf Jakob Horn Günter Hotz Annette Huber-Klawitter Klaus Hulek Gerhard...
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  • Analysis and edited by Zachery D. Paden and Clifford Truesdell. In 1957, Eberhard Hopf became editor, the journal name changed to the Journal of Mathematics...
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  • Thumbnail for Erhard Schmidt
    Bochner Alfred Brauer Richard Brauer Lothar Collatz Alexander Dinghas Michael Golomb Guido Hoheisel Eberhard Hopf Heinz Hopf Martin Kneser Wilhelm Specht...
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  • Thumbnail for Louis Nirenberg
    work was later put into the setting of a boundary value problem by Eberhard Hopf. A breakthrough came with work of Vladimir Scheffer in the 1970s. He...
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  • Thumbnail for Issai Schur
    on the occasion of the re-appointment of Hermann Weyl, Schur says of Hopf: Hopf is a very excellent teacher, a mathematician of strong temperament and...
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  • emigrants from Germany included Theodor Estermann, Hans Freudenthal, Eberhard Hopf, Heinz Hopf, Herman Müntz, Wilhelm Meyer, and Abraham Plessner. Some emigrated...
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  • Thumbnail for Alexandra Bellow
    long-standing conjecture of Eberhard Hopf. Later, Bellow and Krengel working with Calderón were able to show that in fact the Hopf operators have the "strong...
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  • Hadamard Fritz Herzog Edwin Hewitt Kurt August Hirsch W. V. D. Hodge Eberhard Hopf Heinz Hopf Sze-Tsen Hu Witold Hurewicz Kenkichi Iwasawa Shizuo Kakutani Stephen...
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  • a highway engineer. In 1936, he received a PhD in mathematics under Eberhard Hopf at MIT. From 1936 to 1939, he was an instructor at Purdue University...
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  • fundamental contributions to the algebraic foundations of this subject. 1981 Eberhard Hopf for three papers of fundamental and lasting importance: Abzweigung einer...
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  • There he came under the influence of David Gilbarg, Vaclav Hlavaty, Eberhard Hopf, and Max Zorn. Other influences included Bill Gustin, Tracie Thomas...
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  • Eugene Paul Wigner 1969 Raymond Louis Wilder 1970 Walter Munk 1971 Eberhard Hopf 1972 Freeman Dyson 1973 Jürgen Moser 1974 Paul A. Samuelson 1975 Fritz...
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  • Thumbnail for Robert König
    instrumental in offering professorships to Constantin Carathéodory and Eberhard Hopf. From 1950 to 1955, König was Ordentlicher Professor at Munich. In 1953...
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  • Thumbnail for Eugenio Calabi
    and Pierre-Louis Lions. By extending the strong maximum principle of Eberhard Hopf to his notion of viscosity solutions, Calabi was able to use his Laplacian...
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  • Thumbnail for Abraham Plessner
    able to return to Germany, unlike early non-Jewish emigrants such as Eberhard Hopf and Wilhelm Maier. One scholar writes that in Plessner's case "the anti-Semitic...
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  • Thumbnail for Herman Müntz
    able to return to Germany, unlike early non-Jewish emigrants such as Eberhard Hopf and Wilhelm Maier. In 1932 he was an official Soviet delegate to the...
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  • Mimeographed Notes by Rufus Oldenburger, Institute for Advanced Study Hopf, Eberhard (1939), "Statistik der geodätischen Linien in Mannigfaltigkeiten negativer...
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  • elliptischen Typus. Sitber. Preuss. Akad. Wiss. Berlin 19 (1927), 147-152. Hopf, Eberhard. A remark on linear elliptic differential equations of second order...
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