theory, the primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem implies...
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Surface integral Line integral Line element Besse, Arthur L. (1987), Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results...
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Mathematik 76, 214–235 (1873) Über die Determinante mehrerer Functionen einer Variablen (in German), Journal für die reine und angewandte Mathematik 77...
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Basis (linear algebra) (redirect from Basis element)
of vectors in a vector space V is called a basis (pl.: bases) if every element of V may be written in a unique way as a finite linear combination of elements...
34 KB (4,749 words) - 01:17, 16 October 2024
Mathematics (redirect from Mathematik)
Fermat to Wiles: Fermat's Last Theorem Becomes a Theorem". Elemente der Mathematik. 55 (1): 19–37. doi:10.1007/PL00000079. eISSN 1420-8962. ISSN 0013-6018...
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Grelling's Paradox, in: Ingolf Max / Werner Stelzner (eds.), Logik und Mathematik: Frege-Kolloquium Jena 1993, Walter de Gruyter, Berlin 1995 (Perspektiven...
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Stickelberger's theorem (redirect from Stickelberger element)
complexen Zahlen in ihre Primfactoren", Journal für die Reine und Angewandte Mathematik, 1847 (35): 327–367, doi:10.1515/crll.1847.35.327, S2CID 123230326 Stickelberger...
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Foundations of mathematics (redirect from Grundlagenkrise der Mathematik)
Mathematics", in (Tymoczko 1986). Hilbert, D. (1922), "Neubegründung der Mathematik. Erste Mitteilung", Hamburger Mathematische Seminarabhandlungen 1, 157–177...
52 KB (6,865 words) - 10:06, 21 November 2024
the center of a group G is the set of elements that commute with every element of G. It is denoted Z(G), from German Zentrum, meaning center. In set-builder...
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Emmy Noether (section Background on abstract algebra and begriffliche Mathematik (conceptual mathematics))
been formulated as universally valid concepts." This is the begriffliche Mathematik (purely conceptual mathematics) that was characteristic of Noether. This...
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Zermelo–Fraenkel set theory that states that every non-empty set A contains an element that is disjoint from A. In first-order logic, the axiom reads: ∀ x ( x...
24 KB (2,939 words) - 01:28, 28 December 2024
der algebraischen Funktionen.", Journal für die Reine und Angewandte Mathematik (in German), 179: 129–133, doi:10.1515/crll.1938.179.129, ISSN 0075-4102...
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Restklassenkörper der Charakteristik pn", Journal für die Reine und Angewandte Mathematik (in German), 1937 (176): 126–140, doi:10.1515/crll.1937.176.126...
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progressions A. S. Bang (1886). "Taltheoretiske Undersøgelser". Tidsskrift for Mathematik. 5. 4. Mathematica Scandinavica: 70–80. JSTOR 24539988. And Bang, A. S...
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lattices Nicolas Bourbaki (1949). "Sur le théorème de Zorn". Archiv der Mathematik. 2 (6): 434–437. doi:10.1007/bf02036949. S2CID 117826806. Ernst Witt (1951)...
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Proof of Sylow's Theorem] (PDF). Journal für die reine und angewandte Mathematik (in German). 1887 (100). Translated by Gutfraind, Sasha: 179–181. doi:10...
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= 1, according to J. F. Pfaff]. Journal für die reine und angewandte Mathematik (in German). 1834 (12): 134–136. doi:10.1515/crll.1834.12.134. S2CID 199547186...
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Anwendungen in der Theorie der Transformationsgruppen", Monatshefte für Mathematik, 1 (1): 283–354, doi:10.1007/BF01692479, S2CID 121426669 Matsumura, H...
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angennäherten Behandlung von Variationproblemen, ZAMM: Zeitschrift für angewandte Mathematik und Mechanik, Vol. 7, 80-81 (in German). Duncan, W.J.,1937, Galerkin’s...
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page 90. Bourbaki, Nicolas (1949), "Sur le théorème de Zorn", Archiv der Mathematik, 2 (6): 434–437 (1951), doi:10.1007/bf02036949, MR 0047739, S2CID 117826806...
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2016. Dijkstra, Edsger W. (1960). "Recursive Programming". Numerische Mathematik. 2 (1): 312–318. doi:10.1007/BF01386232. S2CID 127891023. Johnsonbaugh...
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In mathematics, the Hadamard product (also known as the element-wise product, entrywise product: ch. 5 or Schur product) is a binary operation that takes...
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in rock-paper-scissors. In a finite cycle, each element has a "next element" and a "previous element". There are also cyclic orders with infinitely many...
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Theorie der algebraischen Zahlen", Journal für die Reine und Angewandte Mathematik (in German), 128: 1–32, ISSN 0075-4102, JFM 35.0227.01 Jacobson, Nathan...
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Grosche, Günter; Ziegler, Viktor; Ziegler, Dorothea (eds.). Taschenbuch der Mathematik [Pocketbook of mathematics] (in German). Vol. 1. Translated by Ziegler...
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Beitrag zur Mannigfaltigkeitslehre". Journal für die Reine und Angewandte Mathematik. 1878 (84): 242–258. doi:10.1515/crll.1878.84.242 (inactive 1 November...
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"From Numbers to Rings: The Early History of Ring Theory". Elemente der Mathematik. 53 (1): 18–35. doi:10.1007/s000170050029. van der Waerden, B. L. (1985)...
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collaboration with Hilbert culminated in the two volume work, Grundlagen der Mathematik (English: Foundations of Mathematics) published in 1934 and 1939, which...
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model and language.: 18 In 1948, he published a paper in the Archiv der Mathematik and presented at the Annual Meeting of the GAMM.: 89 His work failed...
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Burnside problem asks whether a finitely generated group in which every element has finite order must necessarily be a finite group. It was posed by William...
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