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    Heinrich Eduard Heine (16 March 1821 – 21 October 1881) was a German mathematician. Heine became known for results on special functions and in real analysis...
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  • In real analysis the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S of Euclidean space Rn, the following two statements...
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    Kossak), Eduard Heine, Georg Cantor, and Richard Dedekind was brought about. In 1869, Charles Méray had taken the same point of departure as Heine, but the...
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  • continuous if its domain is compact. The theorem is named after Eduard Heine and Georg Cantor. Heine–Cantor theorem — If f : M → N {\displaystyle f\colon M\to...
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  • _{1}(q^{\alpha },q^{\beta };q^{\gamma };q,x)} was first considered by Eduard Heine (1846). It becomes the hypergeometric series F ( α , β ; γ ; x ) {\displaystyle...
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  • Eduard Heine (16 March 1821, Berlin – October 1881, Halle) was a German mathematician in Prussia. His name is given to several mathematical concepts that...
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  • Marshallese politician Eduard Heine (1821–1881), German mathematician Edmund Carl Heine, German convicted of espionage in 1941 Ellen Heine (1907–1989), botanist...
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  • Thumbnail for Peter Gustav Lejeune Dirichlet
    other scientists, including Elwin Bruno Christoffel, Wilhelm Weber, Eduard Heine, Ludwig von Seidel and Julius Weingarten. At the Military Academy, Dirichlet...
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    Eduard Heine (Crelle's Journal, 74), Georg Cantor (Annalen, 5), and Richard Dedekind. Méray had taken in 1869 the same point of departure as Heine, but...
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  • Thumbnail for Lists of mathematics topics
    Hamilton List of things named after Erich Hecke List of things named after Eduard Heine List of things named after Charles Hermite List of things named after...
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  • " German mathematicians Eduard Heine and Carl Johannes Thomae are considered early advocates of mathematical formalism. Heine and Thomae's formalism can...
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  • Thumbnail for Georg Cantor
    Halle. In 1881, Cantor's Halle colleague Eduard Heine died. Halle accepted Cantor's suggestion that Heine's vacant chair be offered to Dedekind, Heinrich...
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  • In mathematics, the Mehler–Heine formula introduced by Gustav Ferdinand Mehler and Eduard Heine describes the asymptotic behavior of the Legendre polynomials...
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  • Thumbnail for Real number
    definition of the real numbers, including Hermann Hankel, Charles Méray, and Eduard Heine, leading to the publication in 1872 of two independent definitions of...
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  • Thumbnail for Compact space
    seen as fundamental for the rigorous formulation of analysis. In 1870, Eduard Heine showed that a continuous function defined on a closed and bounded interval...
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  • nonequivalent definitions of pointwise continuity are still in use. Eduard Heine provided the first published definition of uniform continuity in 1872...
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  • of real numbers as Cauchy sequences was first published separately by Eduard Heine and Georg Cantor, also in 1872. The above approach to decimal expansions...
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  • of the limit of sequences. (This definition is usually attributed to Eduard Heine.) In this setting: lim x → a f ( x ) = L {\displaystyle \lim _{x\to a}f(x)=L}...
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  • Harnack Paul Harzer Helmut Hasse Maria Hasse Otto Hesse Felix Hausdorff Eduard Heine Dieter Held Kurt Hensel Ferdinand Ernst Karl Herberstein Maximilian Herzberger...
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    Elwin Bruno Christoffel, Paul Bachmann, Joseph Brutkowski, Heinrich Eduard Heine, Rudolf Lipschitz, Leo Pochhammer, Friedrich Prym, Wilhelm Wagner, Hermann...
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  • are due to Euler, Gauss, and Cauchy. The systematic study begins with Eduard Heine (1843). The q-analog of n, also known as the q-bracket or q-number of...
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  • Peter Gustav Lejeune Dirichlet (1805–1859) Karl Weierstrass (1815–1897) Eduard Heine (1821–1881) Pafnuty Chebyshev (1821–1894) Leopold Kronecker (1823–1891)...
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  • mathematical analysis, Heine's identity, named after Heinrich Eduard Heine is a Fourier expansion of a reciprocal square root which Heine presented as 1 z −...
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    Virologist Heinrich Hertz Physicist Friedrich Hirzebruch Mathematician Eduard Heine Mathematician Walter Rudolf Hess Physiologist August Kekulé Organic chemist...
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  • Thumbnail for Generalized hypergeometric function
    q-series analogues, called the basic hypergeometric series, were given by Eduard Heine in the late nineteenth century. Here, the ratios considered of successive...
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  • definition of the real numbers, including Hermann Hankel, Charles Méray, and Eduard Heine, but this is only in 1872 that two independent complete definitions of...
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  • Thumbnail for List of misnamed theorems
    review. Heine–Borel theorem. This theorem was proved in 1872 by Émile Borel, not by Eduard Heine. Borel used techniques similar to those that Heine used...
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    board of Crelle's Journal, had delayed publication of an 1870 article by Eduard Heine, one of Cantor's colleagues. Cantor would submit his article to Crelle's...
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  • politician (d. 1880) 1820 – Enrico Tamberlik, Italian tenor (d. 1889) 1821 – Eduard Heine, German mathematician and academic (d. 1881) 1822 – Rosa Bonheur, French...
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    Retrieved August 21, 2023. Heine, Gerhard (1866). Geschichte des Landes Anhalt und seiner Fürsten (in German). Eduard Heine. p. 98. Retrieved August 21...
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