Banach space (redirect from Banach norm)
Banach space (/ˈbɑː.nʌx/, Polish pronunciation: [ˈba.nax]) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that...
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Singular value decomposition (redirect from Ky Fan norm)
"Singular value decomposition and least squares solutions". Numerische Mathematik. 14 (5): 403–420. doi:10.1007/BF02163027. MR 1553974. S2CID 123532178...
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L1-norm principal component analysis (L1-PCA) is a general method for multivariate data analysis. L1-PCA is often preferred over standard L2-norm principal...
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solution to the Monge-Kantorovich mass transfer problem". Numerische Mathematik. 84 (3): 375–393. doi:10.1007/s002110050002. ISSN 0945-3245. S2CID 1100384...
32 KB (5,194 words) - 13:01, 28 February 2025
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
Eigenschwingungen statisch-bestimmter Fachwerke, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 1, 28-42 (1921). Demmel, James W. (1997), Applied Numerical...
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linear subspaces of this space. Sequence spaces are typically equipped with a norm, or at least the structure of a topological vector space. The most important...
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Grassmann, Hermann (1844), Die Lineale Ausdehnungslehre - Ein neuer Zweig der Mathematik (in German), O. Wigand, reprint: Grassmann, Hermann (2000), Kannenberg...
87 KB (11,491 words) - 03:55, 25 February 2025
"Journal für die reine und angewandte Mathematik 1846". de Gruyter. Journal für die reine und angewandte Mathematik 1846. de Gruyter. "The Cambridge and...
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"Distribution of irregular prime numbers". Journal für die Reine und Angewandte Mathematik. 1976 (282): 126–130. doi:10.1515/crll.1976.282.126. MR 0399014. S2CID 201061944...
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2023-01-18. Grünbaum, Branko (2009). "An enduring error". Elemente der Mathematik. 64 (3). Helsinki: European Mathematical Society: 89–101. doi:10.4171/EM/120...
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functional analysis, a branch of mathematics, two methods of constructing normed spaces from disks were systematically employed by Alexander Grothendieck...
25 KB (5,174 words) - 13:18, 4 October 2024
(1964). "Zur quadratischen Konvergenz des Jacobi-Verfahrens". Numerische Mathematik (in German). 6 (1): 410–412. doi:10.1007/BF01386091. MR 0174171. S2CID 118301078...
28 KB (4,679 words) - 09:40, 27 February 2025
Klassenkörpertheorie im Kleinen.", Journal für die reine und angewandte Mathematik (in German), 1930 (162): 145–154, doi:10.1515/crll.1930.162.145, ISSN 0075-4102...
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Spuren bei Aristoteles und Euklid". Quellen und Studien zur Geschichte der Mathematik B. 2: 311–333. Brezinski, Claude (1991). History of continued fractions...
126 KB (15,336 words) - 20:45, 3 February 2025
np.dot(A, b_k) # calculate the norm b_k1_norm = np.linalg.norm(b_k1) # re normalize the vector b_k = b_k1 / b_k1_norm return b_k power_iteration(np.array([[0...
13 KB (2,478 words) - 06:30, 21 December 2024
function between two given limits]. Journal für die reine und angewandte Mathematik (in French). 4: 157–169. arXiv:0806.1294. "Ueber die Darstellbarkeit einer...
72 KB (11,130 words) - 21:37, 10 March 2025
{\displaystyle \sigma ,} and if a {\displaystyle a} is an element of L of relative norm 1, that is N ( a ) := a σ ( a ) σ 2 ( a ) ⋯ σ n − 1 ( a ) = 1 , {\displaystyle...
10 KB (1,916 words) - 07:32, 27 December 2024
unendlichvielen Veränderlichen", Journal für die reine und angewandte Mathematik (in German), 1909 (136): 210–271, doi:10.1515/crll.1909.136.210, JFM 40...
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Vandermonde, Krylov and positive definite Hankel matrices". Numerische Mathematik. 85 (4): 553–577. CiteSeerX 10.1.1.23.5979. doi:10.1007/PL00005392. S2CID 17777214...
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Faltings | Royal Society". royalsociety.org. "Presseinformationen". www.mathematik.de. "Gerd Faltings". National Academy of Sciences. 2021-06-10. Retrieved...
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University Press. Davis, Chandler (1962). "The norm of the Schur product operation". Numerische Mathematik. 4 (1): 343–44. doi:10.1007/bf01386329. S2CID 121027182...
21 KB (2,738 words) - 13:53, 7 January 2025
Equilateral dimension (section Normed vector spaces)
studied for Lebesgue spaces, finite-dimensional normed vector spaces with the L p {\displaystyle L^{p}} norm ‖ x ‖ p = ( | x 1 | p + | x 2 | p + ⋯ + | x...
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propriétés des déterminants gauches", Journal für die reine und angewandte Mathematik, 1846 (32): 119–123, doi:10.1515/crll.1846.32.119, ISSN 0075-4102, S2CID 199546746;...
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sufficient conditions for the validity of Jensen's inequality", Archiv der Mathematik, 100 (6): 561–570, doi:10.1007/s00013-013-0522-3, MR 3069109, S2CID 253600514...
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property of normed spaces that is satisfied precisely if weak convergence of sequences entails convergence in norm. When we are working in a normed space X...
2 KB (290 words) - 23:50, 29 November 2024
partiellen Differentialgleichung", Journal für die reine und angewandte Mathematik, 80: 1–32 (German spelling of her surname used at that time.) Nakhushev...
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{\sqrt[{r}]{a/b}}}} and related numbers". Journal für die reine und angewandte Mathematik. 342: 173–196. B. Beauzamy, E. Bombieri, P. Enflo and H. L. Montgomery...
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drei unbestimmten ganzen Zahlen". Journal für die Reine und Angewandte Mathematik. 1850 (40): 209–227. doi:10.1515/crll.1850.40.209. S2CID 199546675. Okabe...
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Schlömilch, Oskar Xavier (1859). "Ueber facultätenreihen". Zeitschrift für Mathematik und Physik (in German). 4: 390–415. Nielson, Niels (1906). Handbuch der...
45 KB (6,897 words) - 20:31, 10 March 2025