• Thumbnail for Villarceau circles
    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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  • Thumbnail for Homotopy groups of spheres
    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
  • Thumbnail for Anton Wolfradt
    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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  • Thumbnail for Propargyl bromide
    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...
    4 KB (378 words) - 08:55, 29 January 2023
  • Edmund Hess Karl Hessenberg David Hilbert Friedrich Hirzebruch Eberhard Hopf Heinz Hopf Jakob Horn Günter Hotz Annette Huber-Klawitter Klaus Hulek Gerhard...
    14 KB (1,103 words) - 23:13, 7 July 2024
  • 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
  • Thumbnail for George, Duke of Bavaria
    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...
    135 KB (13,099 words) - 07:39, 20 August 2024
  • \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
  • Thumbnail for Ottoman Greeks
    population groups of another language and, at the same time, ethnicity." Hopf 1873, "Epistola Theodori Zygomalae", p. 236: "...ησάν ποτε κύριοι Αθηνών...
    17 KB (1,833 words) - 18:10, 3 August 2024
  • Thumbnail for Bayreuth Festival
    Wilhelm Furtwängler. Soloists: Elisabeth Schwarzkopf, Elisabeth Höngen, Hans Hopf, Otto Edelmann, (EMI, mono) Die Meistersinger von Nürnberg (1951): Conductor:...
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  • Thumbnail for Biology
    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
  • Thumbnail for Qubit
    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...
    41 KB (4,722 words) - 00:51, 23 August 2024
  • 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...
    36 KB (1,566 words) - 06:04, 20 July 2024
  • 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...
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  • 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
  • Thumbnail for List of Swedish actors
    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...
    24 KB (2,455 words) - 00:39, 11 August 2024
  • Hollmann Christian Holm Wilhelm Holtz Michael Holzscheiter Helmut Hönl Ludwig Hopf Walter Hoppe Heinrich Hora Wilhelm Hort Sabine Hossenfelder Fritz Houtermans...
    20 KB (1,530 words) - 23:13, 7 July 2024
  • 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...
    233 KB (22,592 words) - 04:19, 20 August 2024
  • 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...
    10 KB (1,533 words) - 22:52, 3 May 2024
  • Thumbnail for Vector space
    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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  • Thumbnail for Idomeneo
    Idomeneo, Arbace Conductor opera house and orchestra Label 1950 Gertraud Hopf, Gertrude Grob-Prandl, Greta Menzel, Horst Taubmann, Herbert Handt Meinhard...
    31 KB (3,142 words) - 15:49, 15 August 2024
  • solvability of statistical mechanics models; he also generalizes Hopf algebras to quasi-Hopf algebras, and introduces the study of Drinfeld twists, which...
    81 KB (9,961 words) - 12:56, 4 August 2024
  • Thumbnail for Art competitions at the 1928 Summer Olympics
    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...
    57 KB (790 words) - 07:53, 23 May 2024
  • _{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
  • Thumbnail for Protein structure prediction
    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...
    73 KB (8,987 words) - 01:55, 14 August 2024
  • Thumbnail for Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State
    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
  • Thumbnail for Liverpool Biennial
    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