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1: Sidebar 9.SB1: Supernumerary Rainbows
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►Airy invented his function in 1838 precisely to describe this phenomenon more accurately than Young had done in 1800 when pointing out that supernumerary rainbows require the wave theory of light and are impossible to explain with Newton’s picture of light as a stream of independent corpuscles.
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►Photograph by Dr. Roy Bishop, Physics Department, Acadia
University, Nova Scotia, Canada.
See Bishop (1981).
©R. L. Bishop.
2: 27.16 Cryptography
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►Applications to cryptography rely on the disparity in computer time required to find large primes and to factor large integers.
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►Procedures for finding such primes require very little computer time.
…Messages are coded by a method (described below) that requires only the knowledge of .
…With the most efficient computer techniques devised to date (2010), factoring an 800-digit number may require billions of years on a single computer.
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►If and are known, and can be determined (mod ) by straightforward calculations that require only a few minutes of machine time.
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3: 24 Bernoulli and Euler Polynomials
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4: Karl Dilcher
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► 1954 in Wabern-Harle, Germany) is Professor in the Department of Mathematics and Statistics at Dalhousie University in Halifax, Nova Scotia, Canada.
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5: Stephen M. Watt
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► 1959 in Montreal, Canada) is Professor of Computer Science in the David R.
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6: About MathML
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►The mathematical notations used in DLMF are complex enough that a fairly complete MathML implementation is required.
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7: 27.18 Methods of Computation: Primes
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►Two simple algorithms for proving primality require a knowledge of all or part of the factorization of , or both; see Crandall and Pomerance (2005, §§4.1–4.2).
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8: DLMF Project News
error generating summary9: Roderick S. C. Wong
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►Wong was elected a Fellow of the Royal Society of Canada in 1993, a Foreign Member of the Academy of Science of Turin, Italy, in 2001, a Chevalier dans l’Ordre National de la Légion d’Honneur in 2004, and a Member of the European Academy of Sciences in 2007.
He was recipient of the Killam Research Fellowship from the Canada Council in 1982–1984, and of the Rh Award for Outstanding Contributions to Scholarship and Research from the University of Manitoba in 1984.
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