• Thumbnail for Karl Weierstrass
    Karl Theodor Wilhelm Weierstrass (German: Weierstraß [ˈvaɪɐʃtʁaːs]; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father...
    16 KB (1,620 words) - 05:59, 8 March 2024
  • Thumbnail for Weierstrass function
    example of a fractal curve. It is named after its discoverer Karl Weierstrass. The Weierstrass function has historically served the role of a pathological...
    18 KB (2,287 words) - 09:24, 12 March 2024
  • original version of this result was established by Karl Weierstrass in 1885 using the Weierstrass transform. Marshall H. Stone considerably generalized...
    26 KB (3,021 words) - 01:55, 4 February 2024
  • specifically in real analysis, the Bolzano–Weierstrass theorem, named after Bernard Bolzano and Karl Weierstrass, is a fundamental result about convergence...
    11 KB (1,798 words) - 22:03, 26 April 2024
  • complex numbers. It is named after the German mathematician Karl Weierstrass (1815-1897). Weierstrass M-test. Suppose that (fn) is a sequence of real- or complex-valued...
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  • after Karl Weierstrass. These include: The Weierstrass approximation theorem, of which one well known generalization is the Stone–Weierstrass theorem...
    1 KB (161 words) - 21:11, 28 February 2013
  • the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for Karl Weierstrass...
    5 KB (934 words) - 14:37, 24 February 2024
  • linear factors, one for each root. The theorem, which is named for Karl Weierstrass, is closely related to a second result that every sequence tending...
    10 KB (1,872 words) - 12:17, 9 April 2024
  • Thumbnail for Weierstrass elliptic function
    mathematics, the Weierstrass elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class...
    25 KB (4,365 words) - 10:40, 4 April 2024
  • Thumbnail for Weierstrass transform
    In mathematics, the Weierstrass transform of a function f : R → R, named after Karl Weierstrass, is a "smoothed" version of f(x) obtained by averaging...
    15 KB (2,331 words) - 18:07, 16 January 2022
  • Thumbnail for Extreme value theorem
    theorem is used to prove Rolle's theorem. In a formulation due to Karl Weierstrass, this theorem states that a continuous function from a non-empty compact...
    22 KB (3,888 words) - 15:54, 28 December 2023
  • {\textstyle t=-\cot(\psi /2).} Weierstrass, Karl (1915) [1875]. "8. Bestimmung des Integrals ...". Mathematische Werke von Karl Weierstrass (in German). Vol. 6....
    21 KB (3,039 words) - 22:41, 27 March 2024
  • Thumbnail for Lindemann–Weierstrass theorem
    rational number. The theorem is named for Ferdinand von Lindemann and Karl Weierstrass. Lindemann proved in 1882 that eα is transcendental for every non-zero...
    28 KB (4,823 words) - 00:37, 7 November 2023
  • Thumbnail for Gamma function
    the connection between the gamma function and elliptic integrals. Karl Weierstrass further established the role of the gamma function in complex analysis...
    90 KB (13,397 words) - 05:21, 21 April 2024
  • Thumbnail for Laurent series
    named after and first published by Pierre Alphonse Laurent in 1843. Karl Weierstrass may have discovered it first in a paper written in 1841, but it was...
    16 KB (2,710 words) - 11:58, 8 November 2023
  • German mathematician Karl Weierstrass. Bolzano–Weierstrass theorem Casorati–Weierstrass theorem Weierstrass method Enneper–Weierstrass parameterization...
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  • journalist Karl Edward Wagner (1945–1994), American writer, editor and publisher Karl Wallenda (1905–1978), German-born tightrope artist Karl Weierstrass (1815–1897)...
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  • Thumbnail for Wilhelm Killing
    at the University of Münster and later wrote his dissertation under Karl Weierstrass and Ernst Kummer at Berlin in 1872. He taught in gymnasia (secondary...
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  • Thumbnail for Fractal
    century by the seminal work of Bernard Bolzano, Bernhard Riemann, and Karl Weierstrass, and on to the coining of the word fractal in the 20th century with...
    74 KB (8,018 words) - 15:11, 24 April 2024
  • Thumbnail for Ferdinand Georg Frobenius
    Kronecker, Kummer and Karl Weierstrass. He received his doctorate (awarded with distinction) in 1870 supervised by Weierstrass. His thesis was on the...
    14 KB (1,445 words) - 10:58, 24 January 2024
  • Thumbnail for Carl Runge
    received his Ph.D. in mathematics at Berlin, where he studied under Karl Weierstrass. In 1886, he became a professor at the Technische Hochschule Hannover...
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  • Thumbnail for Uniform convergence
    instances of faulty reasoning. The concept, which was first formalized by Karl Weierstrass, is important because several properties of the functions f n {\displaystyle...
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  • and the concept of uniform convergence, and for being the teacher of Karl Weierstrass, who was greatly influenced by Gudermann's course on elliptic functions...
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  • Thumbnail for Max Planck
    physicists Hermann von Helmholtz and Gustav Kirchhoff and mathematician Karl Weierstrass. He wrote that Helmholtz was never quite prepared, spoke slowly, miscalculated...
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  • Weber Werner Weber Katrin Wehrheim Dieter Weichert Joachim Weickert Karl Weierstrass Erhard Weigel Julius Weingarten Michael Weiss Paul Weiss Ernst August...
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  • Thumbnail for Edmund Husserl
    contemporary philosophy and beyond. Husserl studied mathematics, taught by Karl Weierstrass and Leo Königsberger, and philosophy taught by Franz Brentano and Carl...
    100 KB (12,415 words) - 10:05, 23 April 2024
  • Thumbnail for Georg Cantor
    the University of Berlin, attending lectures by Leopold Kronecker, Karl Weierstrass and Ernst Kummer. He spent the summer of 1866 at the University of...
    83 KB (9,976 words) - 01:45, 26 April 2024
  • Thumbnail for Sofya Kovalevskaya
    Kovalevskaya moved to Berlin, where she began to take private lessons with Karl Weierstrass, since the university would not allow her even to audit classes. He...
    29 KB (3,435 words) - 19:14, 12 April 2024
  • Thumbnail for Reciprocal gamma function
    gamma function. Karl Weierstrass called the reciprocal gamma function the "factorielle" and used it in his development of the Weierstrass factorization...
    11 KB (1,427 words) - 02:31, 11 March 2024
  • the Casorati–Weierstrass theorem describes the behaviour of holomorphic functions near their essential singularities. It is named for Karl Theodor Wilhelm...
    9 KB (1,227 words) - 23:00, 26 June 2023