• Thumbnail for Karl Menger
    Karl Menger (January 13, 1902 – October 5, 1985) was an Austrian–American mathematician, the son of the economist Carl Menger. In mathematics, Menger...
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  • Thumbnail for Menger sponge
    was first described by Karl Menger in 1926, in his studies of the concept of topological dimension. The construction of a Menger sponge can be described...
    15 KB (1,827 words) - 22:36, 1 July 2024
  • Thumbnail for Carl Menger
    had two brothers, Anton and Max, both prominent as lawyers. His son, Karl Menger, was a mathematician who taught for many years at Illinois Institute...
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  • disjoint paths that can be found between any pair of vertices. Proved by Karl Menger in 1927, it characterizes the connectivity of a graph. It is generalized...
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  • pairs of its vertices. The determinant is named after Arthur Cayley and Karl Menger. The ( n 2 ) {\displaystyle {n \choose 2}} pairwise distance polynomials...
    20 KB (4,268 words) - 16:55, 19 June 2024
  • Cayley, followed by more extensive developments in the 20th century by Karl Menger and others. Distance geometry problems arise whenever one needs to infer...
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  • have met extraterrestrials Karl Menger (1902–1985), Austrian-born mathematician and son of economist Carl Menger Kirsten Menger-Anderson (born 1969), American...
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  • three points. It is named after the Austrian-American mathematician Karl Menger. Let x, y and z be three points in Rn; for simplicity, assume for the...
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  • Thumbnail for Taxicab geometry
    define normed vector spaces. The name taxicab geometry was introduced by Karl Menger in a 1952 booklet You Will Like Geometry, accompanying a geometry exhibit...
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  • general spaces". General Topology and Appl. 1 (3): 209–221. MR 0288741. Karl Menger, General Spaces and Cartesian Spaces, (1926) Communications to the Amsterdam...
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  • Thumbnail for Austrian school of economics
    included Gottfried Haberler, Friedrich Hayek, Fritz Machlup, Karl Menger (son of Carl Menger), Oskar Morgenstern, Paul Rosenstein-Rodan, Abraham Wald, and...
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  • Charles F. Roos, Joseph A. Schumpeter, Harold Hotelling, Henry Schultz, Karl Menger, Edwin B. Wilson, Frederick C. Mills, William F. Ogburn, J. Harvey Rogers...
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  • Thumbnail for Abraham Wald
    graduated in 1931 with a Ph.D. in mathematics. His advisor there was Karl Menger. Despite Wald's brilliance, he could not obtain a university position...
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  • go to Vienna to continue his studies. He studied under Hans Hahn and Karl Menger in Vienna, receiving a PhD in 1926. Hurewicz was awarded a Rockefeller...
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  • participated in Ludwig von Mises's Austrian economics seminar. He hired Karl Menger as his tutor in mathematics in 1931 and hired Abraham Wald in 1932 as...
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  • Gottfried Wilhelm Leibniz (1646–1716), Immanuel Kant (1724–1804), and Karl Menger (1902–1985). Leibniz's version took the form of a principle of plenitude...
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  • Thumbnail for Travelling salesman problem
    mathematicians during the 1930s in Vienna and at Harvard, notably by Karl Menger, who defines the problem, considers the obvious brute-force algorithm...
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  • Thumbnail for Karl Sigmund
    Vienna Circle. He co-edited the mathematical works of Hans Hahn and Karl Menger and organised in 2001 an exhibition on the exodus of Austrian mathematicians...
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  • Thumbnail for Hans Hahn (mathematician)
    mathematical and philosophical work to study psychic phenomena; according to Karl Menger he sometimes openly advocated further research into extrasensory perception...
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  • Thumbnail for University of Vienna
    Gustav Mahler, Tomáš Garrigue Masaryk, Lise Meitner, Gregor Mendel, Karl Menger, Franz Mesmer, Egon Orowan, Franz Miklosich, Alois Mock, Wolf-Dieter...
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  • dimension 2 n + 1 {\displaystyle 2n+1} . (Georg Nöbeling was a student of Karl Menger. He introduced Nöbeling space, the subspace of R 2 n + 1 {\displaystyle...
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  • Thumbnail for Kuratowski's theorem
    is K 3 , 3 {\displaystyle K_{3,3}} ) was also independently proved by Karl Menger in 1930. Since then, several new proofs of the theorem have been discovered...
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  • intentionally utters trivially nonsensical statements", and wrote to Karl Menger that Wittgenstein's comments demonstrate a misunderstanding of the incompleteness...
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  • Thumbnail for Jacob Fox
    category in the annual Intel Science Talent Search, also winning the Karl Menger Memorial Prize of the American Mathematical Society for his project....
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  • likely confused the Austrian school economist Carl Menger with his son, the mathematician Karl Menger, which led to erroneous statements and accusations...
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  • (Mach number) Lise Meitner, physicist Karl Menger, mathematician (Menger's theorem, Menger sponge); son of Carl Menger) Ronald Micura, chemist Richard von...
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  • (1902–2002), Australian economist and public servant Carl Menger (1840–1921), Austrian economist Karl Menger (1902–1985), Austrian/American mathematician Stanislav...
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  • Menger-Anderson currently lives in an old Victorian house in San Francisco with her husband and children. Her grandfather is the mathematician Karl Menger...
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  • Lebesgue (1875–1941) Wacław Sierpiński (1882–1969) Johann Radon (1887–1956) Karl Menger (1902–1985) Asymptotic analysis – studies a method of describing limiting...
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  • {F}}_{1}\cup {\mathcal {F}}_{2}\cup \cdots } covers the space. In 1924, Karl Menger introduced the following basis property for metric spaces: Every basis...
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