• Thumbnail for Arnold Schönhage
    Arnold Schönhage (born 1 December 1934 in Lockhausen, now Bad Salzuflen) is a German mathematician and computer scientist. Schönhage was professor at the...
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  • Thumbnail for Schönhage–Strassen algorithm
    The Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers, published by Arnold Schönhage and Volker Strassen...
    26 KB (4,601 words) - 22:35, 6 August 2024
  • Thumbnail for Arnold (given name)
    composer Arnold Schönhage (born 1934), a German mathematician and computer scientist Arnold Schottländer (1854–1909), a German chess player Arnold Schwarzenegger...
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  • Introduced the unified description of Schönhage and Kolmogorov-Uspenskii machines used here. Arnold Schönhage (1980), Storage Modification Machines,...
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  • than expanding an exponent into a product. An algorithm for this by Arnold Schönhage begins by finding the list of the primes up to n {\displaystyle n}...
    70 KB (8,433 words) - 05:05, 10 October 2024
  • Schneider Claus P. Schnorr Eckehard Schöll Arnold Scholz Heinrich Scholz Peter Scholze Johannes Schöner Arnold Schönhage Erich Schönhardt Gaspar Schott Martin...
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  • Thumbnail for Volker Strassen
    paper together with Arnold Schönhage on asymptotically fast integer multiplication based on the fast Fourier transform; see the Schönhage–Strassen algorithm...
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  • 411.7540. doi:10.1162/neco_a_00263. PMID 22295978. S2CID 5826757. Arnold Schönhage, "On the power of random access machines", in Proc. Intl. Colloquium...
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  • n} , are based on the concept of factories, introduced in 1976 by Arnold Schönhage, Mike Paterson, and Nick Pippenger. These are methods that build partial...
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  • abstract machine or 'automaton' which deals with linked structures." Arnold Schönhage (1980), Storage Modification Machines, Society for Industrial and Applied...
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  • and, ultimately, for finding its complex roots. It was introduced by Arnold Schönhage in his 1982 paper The fundamental theorem of algebra in terms of computational...
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  • addresses. The minimalist approach is to use itself (Schönhage does this). Another approach (Schönhage does this too) is to declare a specific register the...
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  • Thumbnail for Montgomery's pair correlation conjecture
    )}^{2}\right)du} Based on a new algorithm developed by Odlyzko and Arnold Schönhage that allowed them to compute a value of ζ(1/2 + it) in an average time...
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  • Thumbnail for List of people by Erdős number
    P. Schnorr Hans Schneider Isaac Jacob Schoenberg Norman Schofield Arnold Schönhage Oded Schramm Alexander Schrijver Richard Schroeppel Issai Schur Jacob...
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  • Thumbnail for University of Bonn
    Mathematician and Experimental Physicist Peter Scholze Mathematician Arnold Schönhage Computer Scientist and Mathematician Issai Schur Mathematician Otto...
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  • Thumbnail for Bad Salzuflen
    economist and emeritus professor of business administration and management Arnold Schönhage (born 1934), mathematicians, computer scientists, and Professor Emeritus...
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  • Johannes Schmidt (1843–1901), Linguistics Carl Schmitt (1888–1985), Law Arnold Schönhage (born 1934), Mathematics Joseph Schumpeter (1883–1950), Economics Reinhard...
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  • Thumbnail for Computational complexity of mathematical operations
    Informatik Bibliothek & Dokumentation. OCLC 246319574. MPII-98-1-022. Schönhage, Arnold (1980). "Storage Modification Machines". SIAM Journal on Computing...
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  • Vladimir L. Popov Frank Quinn A. A. Razborov John Rinzel Ernst Alfred Ruh Arnold Schönhage Vladimir Scheffer [de] Richard Melvin Schoen Alexander Schrijver Jacob...
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  • Rechenmaschinen. Math.-Phys. Semsterberichte (Göttingen) 4 (1954), 42-53. Arnold Schönhage (1980), Storage Modification Machines, Society for Industrial and Applied...
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  • Thumbnail for Guido Hoheisel
    universities, in Cologne, Bonn, and Münster. His doctoral students include Arnold Schönhage. Hoheisel contributed to the journal Deutsche Mathematik. Hoheisel...
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  • archived from the original (PDF) on 2013-10-19, retrieved 2013-10-19. Schönhage, Arnold (1975), "A Lower Bound for the Length of Addition Chains", Theoretical...
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  • of Hermes, Ershov, Péter, Minsky, Lambek, Shepherdson and Sturgis, and Schönhage. These are explained below. Shepherdson & Sturgis (1963) observe that...
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  • (2003) History of Mathematics: An Introduction. Boston Wm. C. Brown. Chace, Arnold Buffum, et al. (1927) The Rhind Mathematical Papyrus. Oberlin: Mathematical...
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  • Thumbnail for Euclidean algorithm
    showing that it is also O(h2). Modern algorithmic techniques based on the Schönhage–Strassen algorithm for fast integer multiplication can be used to speed...
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  • (1978), Computational Geometry, Ph.D. dissertation, Yale University. Schönhage, Arnold (1979), "On the power of random access machines", Proceedings of the...
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  • Peter (1958) as interpreted by Shepherdson–Sturgis (1964); Minsky (1967); Schönhage (1980)) set 3: { INC (r), CPY (rj, rk), JE (rj, rk, z) }, (Elgot–Robinson...
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