• 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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  • 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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  • original version of this result was established by Karl Weierstrass in 1885 using the Weierstrass transform. Marshall H. Stone considerably generalized...
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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 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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  • 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 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 (4,778 words) - 08:06, 17 February 2025
  • {\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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  • 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...
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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...
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  • 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...
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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 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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  • German mathematician Karl Weierstrass. Bolzano–Weierstrass theorem Casorati–Weierstrass theorem Weierstrass method Enneper–Weierstrass parameterization...
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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...
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  • 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...
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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 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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  • 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 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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  • 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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  • 1830s, but the work wasn't published until the 1930s. Like Bolzano, Karl Weierstrass denied continuity of a function at a point c unless it was defined...
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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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  • 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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  • 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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  • (1894–1967), mathematician Heinrich Martin Weber (1842–1913), mathematician Karl Weierstrass (1815–1897), mathematician Max Zorn (1906–1993), mathematician Heinrich...
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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)...
    10 KB (1,243 words) - 10:55, 28 January 2025