when the intersection curve is real. The torus plays a central role in the Hopf fibration of the 3-sphere, S3, over the ordinary sphere, S2, which has circles...
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Homotopy groups of spheres (section Hopf fibrations)
i > n. The first such surprise was the discovery of a mapping called the Hopf fibration, which wraps the 3-sphere S3 around the usual sphere S2 in a non-trivial...
82 KB (7,971 words) - 00:49, 26 July 2024
Wien. Herold, Wien 1983, ISBN 3-7008-0223-4. Joseph Maurer, Alexander Hopf: Anton Wolfradt, Fürstbischof von Wien. Wien 1894. Günther von Probszt: Österreichische...
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Molecules. 6 (12): 964–968. doi:10.3390/61200964. ISSN 1420-3049. Henning Hopf, Ingrid Böhm, and Jürgen Kleinschroth (1990). "Diels-Alder Reaction of 1...
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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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Elfström, Tor Isedal, Curt Broberg and Ulf von Zweigbergk as prisoners Heinz Hopf, Carl Billquist as Gestapo officers Nils Eklund as bartender Egil Holmsen...
38 KB (5,067 words) - 09:27, 18 July 2024
Lauinger Verlag. p. 42. ISBN 978-3-7650-1300-3. Retrieved 6 February 2024. Hopf, Georg Wilhelm (1858). Deutsche Geschichte und bayerische Geschichte in Schulen...
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Computer algebra Exterior algebra F-algebra F-coalgebra Heyting algebra Hopf algebra Non-associative algebra Outline of algebra Relational algebra Sigma-algebra...
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\left(P(\delta )\cdot Y\right)^{2}=e^{i\delta }I} a SU(2) double cover. See also Hopf fibration. The matrix shown here is from openQASM 3.0, which differs from...
49 KB (3,626 words) - 08:17, 12 August 2024
population groups of another language and, at the same time, ethnicity." Hopf 1873, "Epistola Theodori Zygomalae", p. 236: "...ησάν ποτε κύριοι Αθηνών...
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Wilhelm Furtwängler. Soloists: Elisabeth Schwarzkopf, Elisabeth Höngen, Hans Hopf, Otto Edelmann, (EMI, mono) Die Meistersinger von Nürnberg (1951): Conductor:...
43 KB (5,312 words) - 16:11, 17 August 2024
1093/aob/mcae044. Epub ahead of print. PMID 38497809 Bernstein H, Byerly HC, Hopf FA, Michod RE. Genetic damage, mutation, and the evolution of sex. Science...
133 KB (13,806 words) - 21:01, 5 August 2024
eliminate one of the degrees of freedom. One possible choice is that of Hopf coordinates: α = e i δ cos θ 2 , β = e i ( δ + φ ) sin θ 2 . {\displaystyle...
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Schatten - Leonie Rysanek, Christel Goltz, Emmy Loose, Elisabeth Hongen, Hans Hopf, Karl Terkal, Paul Schöffler, Vienna Philharmonic, Karl Boehm - London 1959...
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conjectures in commutative algebra commutative algebra n/a Hopf conjectures geometry Heinz Hopf 476 Ibragimov–Iosifescu conjecture for φ-mixing sequences...
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algebraic group over F1. The affine scheme Spec Z is a curve over F1. Groups are Hopf algebras over F1. More generally, anything defined purely in terms of diagrams...
32 KB (3,811 words) - 03:51, 8 August 2024
accordionist Carl van der Hoeven (1580–1661), composer and organist Hans Hopf (1916–1993), operatic tenor Willy Horváth (1917–2011), violinist Siegfried...
55 KB (6,215 words) - 21:35, 19 August 2024
1935) Sigrid Holmquist (1899–1970) Karl-Arne Holmsten (1911–1995) Heinz Hopf (1934–2001) Jens Hultén (born 1963) Petra Hultgren (born 1972) Axel Hultman...
35 KB (4,049 words) - 20:48, 22 August 2024
Joachim Wilhelm Franz Philipp von Holtzendorff Karl Holzamer Axel Honneth Karl Hopf Ernst Höpfner Josef Hopmann How to Dress Well Emil Hübner Hermann Hüffer...
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Hollmann Christian Holm Wilhelm Holtz Michael Holzscheiter Helmut Hönl Ludwig Hopf Walter Hoppe Heinrich Hora Wilhelm Hort Sabine Hossenfelder Fritz Houtermans...
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ISSN 0269-7653. S2CID 31756267. Birdsell & Wills 2003, pp. 27–137 Bernstein, Hopf & Michod 1987, pp. 323–370 Bell, Graham; Mooers, Arne O. (March 1997). "Size...
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subgroups. The notion is dual to that of a Hopfian group, named after Heinz Hopf. A group G is called co-Hopfian if whenever φ : G → G {\displaystyle \varphi...
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Stoll & Wong 1968, p. 14. Roman 2005, pp. 41–42. Lang 1987, p. 10–11; Anton & Rorres 2010, p. 212. Blass 1984. Joshi 1989, p. 450. Heil 2011, p. 126...
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Idomeneo, Arbace Conductor opera house and orchestra Label 1950 Gertraud Hopf, Gertrude Grob-Prandl, Greta Menzel, Horst Taubmann, Herbert Handt Meinhard...
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solvability of statistical mechanics models; he also generalizes Hopf algebras to quasi-Hopf algebras, and introduces the study of Drinfeld twists, which...
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Country AC Fritz Heinsheimer Germany AC Ludwig von Hofmann Germany AC Eduard Hopf Germany AC Willy Jaeckel Germany AC Ernst Oppler Germany AC Paul Paeschke...
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_{n\geq 0}R(S_{n})} inherits from these constructions the structure of a Hopf algebra which, it turns out, is closely related to symmetric functions. To...
105 KB (21,307 words) - 16:09, 19 May 2024
1073/pnas.91.1.98. PMC 42893. PMID 8278414. Marks DS, Colwell LJ, Sheridan R, Hopf TA, Pagnani A, Zecchina R, Sander C (2011). "Protein 3D structure computed...
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Leipzig), Paul Hofmann(Dresden), Gustav Hopf (Hamburg dermatologist), Carl Horst (Marburg art historian), Joseph Anton Huber (Dillingen), Alfred Hübner (Göttingen...
38 KB (3,707 words) - 14:04, 17 July 2024
Cruz-Diez, Chris Evans, Rana Hamadeh, Louise Hervé & Chloé Maillet, Judith Hopf, Aaron Flint Jamison, Norma Jeane, Nicola L., Sharon Lockhart, William Leavitt...
21 KB (2,273 words) - 01:06, 16 August 2024