• Thumbnail for Karl Weierstrass
    Karl Theodor Wilhelm Weierstrass (/ˈvaɪərˌstrɑːs, -ˌʃtrɑːs/; German: Weierstraß [ˈvaɪɐʃtʁaːs]; 31 October 1815 – 19 February 1897) was a German mathematician...
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  • Thumbnail for Weierstrass function
    In mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere...
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  • original version of this result was established by Karl Weierstrass in 1885 using the Weierstrass transform. Marshall H. Stone considerably generalized...
    27 KB (3,234 words) - 20:46, 8 June 2024
  • after Karl Weierstrass. These include: The Weierstrass approximation theorem, of which one well known generalization is the Stone–Weierstrass theorem...
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  • specifically in real analysis, the Bolzano–Weierstrass theorem, named after Bernard Bolzano and Karl Weierstrass, is a fundamental result about convergence...
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  • the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for Karl Weierstrass...
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  • 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...
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  • 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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  • 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...
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  • 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 (3,935 words) - 00:15, 17 November 2024
  • {\textstyle t=-\cot(\psi /2).} Weierstrass, Karl (1915) [1875]. "8. Bestimmung des Integrals ...". Mathematische Werke von Karl Weierstrass (in German). Vol. 6....
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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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  • 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 Weierstrass transform
    mathematics, the Weierstrass transform of a function f : R → R {\displaystyle f:\mathbb {R} \to \mathbb {R} } , named after Karl Weierstrass, is a "smoothed"...
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  • 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...
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  • 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...
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  • 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...
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  • 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 Laurent series
    named after and first published by Pierre Alphonse Laurent in 1843. Karl Weierstrass had previously described it in a paper written in 1841 but not published...
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  • Thumbnail for Weierstrass (crater)
    Weierstrass is a small lunar impact crater that is attached to the northern rim of the walled plain Gilbert, in the eastern part of the Moon. It also...
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  • German mathematician Karl Weierstrass. Bolzano–Weierstrass theorem Casorati–Weierstrass theorem Weierstrass method Enneper–Weierstrass parameterization...
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  • Thumbnail for Arthur Moritz Schoenflies
    Emma Levin (1868–1939) in 1896. He studied under Ernst Kummer and Karl Weierstrass, and was influenced by Felix Klein. The Schoenflies problem is to prove...
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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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  • the Casorati–Weierstrass theorem describes the behaviour of holomorphic functions near their essential singularities. It is named for Karl Theodor Wilhelm...
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  • Thumbnail for Hans Carl Friedrich von Mangoldt
    University of Berlin, where his supervisors were Ernst Kummer and Karl Weierstrass. He contributed to the solution of the prime number theorem by providing...
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  • German-born tightrope artist Karl Weierstrass (1815–1897), German mathematician Karl Wendlinger (born 1968), Austrian race car driver Karl Williams (born 1971)...
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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...
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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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  • 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...
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  • In numerical analysis, the Weierstrass method or Durand–Kerner method, discovered by Karl Weierstrass in 1891 and rediscovered independently by Durand...
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