theory, the primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem implies...
12 KB (1,911 words) - 18:27, 27 December 2024
Surface integral Line integral Line element Besse, Arthur L. (1987), Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results...
10 KB (2,011 words) - 09:54, 4 October 2024
Mathematik 76, 214–235 (1873) Über die Determinante mehrerer Functionen einer Variablen (in German), Journal für die reine und angewandte Mathematik 77...
14 KB (1,445 words) - 19:10, 23 September 2024
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...
159 KB (15,698 words) - 13:39, 18 December 2024
Grelling's Paradox, in: Ingolf Max / Werner Stelzner (eds.), Logik und Mathematik: Frege-Kolloquium Jena 1993, Walter de Gruyter, Berlin 1995 (Perspektiven...
3 KB (348 words) - 16:01, 17 December 2024
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...
8 KB (978 words) - 11:57, 8 December 2023
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...
12 KB (1,184 words) - 20:06, 14 May 2024
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...
132 KB (15,180 words) - 20:59, 31 December 2024
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...
7 KB (935 words) - 20:05, 12 January 2024
Restklassenkörper der Charakteristik pn", Journal für die Reine und Angewandte Mathematik (in German), 1937 (176): 126–140, doi:10.1515/crll.1937.176.126...
35 KB (7,358 words) - 16:24, 18 October 2024
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)...
4 KB (559 words) - 15:58, 16 November 2024
progressions A. S. Bang (1886). "Taltheoretiske Undersøgelser". Tidsskrift for Mathematik. 5. 4. Mathematica Scandinavica: 70–80. JSTOR 24539988. And Bang, A. S...
6 KB (936 words) - 19:54, 24 September 2024
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...
32 KB (4,185 words) - 18:01, 12 November 2024
Anwendungen in der Theorie der Transformationsgruppen", Monatshefte für Mathematik, 1 (1): 283–354, doi:10.1007/BF01692479, S2CID 121426669 Matsumura, H...
22 KB (2,941 words) - 02:08, 25 December 2024
= 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...
31 KB (3,104 words) - 20:41, 21 December 2024
angennäherten Behandlung von Variationproblemen, ZAMM: Zeitschrift für angewandte Mathematik und Mechanik, Vol. 7, 80-81 (in German). Duncan, W.J.,1937, Galerkin’s...
17 KB (2,986 words) - 20:53, 15 July 2024
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...
11 KB (1,428 words) - 09:22, 13 November 2024
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...
21 KB (2,723 words) - 21:48, 13 December 2024
2016. Dijkstra, Edsger W. (1960). "Recursive Programming". Numerische Mathematik. 2 (1): 312–318. doi:10.1007/BF01386232. S2CID 127891023. Johnsonbaugh...
30 KB (3,677 words) - 09:29, 14 December 2024
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...
53 KB (6,391 words) - 13:03, 8 November 2024
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...
87 KB (10,301 words) - 00:25, 11 December 2024
Grosche, Günter; Ziegler, Viktor; Ziegler, Dorothea (eds.). Taschenbuch der Mathematik [Pocketbook of mathematics] (in German). Vol. 1. Translated by Ziegler...
103 KB (13,454 words) - 21:00, 26 December 2024
"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)...
99 KB (13,683 words) - 00:24, 11 December 2024
collaboration with Hilbert culminated in the two volume work, Grundlagen der Mathematik (English: Foundations of Mathematics) published in 1934 and 1939, which...
11 KB (1,002 words) - 09:54, 17 November 2024
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...
30 KB (2,708 words) - 12:06, 27 October 2024
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...
17 KB (2,335 words) - 15:50, 27 December 2024
Beitrag zur Mannigfaltigkeitslehre". Journal für die Reine und Angewandte Mathematik. 1878 (84): 242–258. doi:10.1515/crll.1878.84.242 (inactive 1 November...
41 KB (4,771 words) - 03:21, 23 December 2024