In number theory, the Kempner function[1] is defined for a given positive integer to be the smallest number such that divides the factorial . For example, the number does not divide , , or , but does divide ,so .
This function has the property that it has a highly inconsistent growth rate: it grows linearly on the prime numbers but only grows sublogarithmically at the factorial numbers.
^Called the Kempner numbers in the Online Encyclopedia of Integer Sequences: see Sloane, N. J. A. (ed.). "Sequence A002034 (Kempner numbers: smallest number m such that n divides m!)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
In number theory, the Kempnerfunction S ( n ) {\displaystyle S(n)} is defined for a given positive integer n {\displaystyle n} to be the smallest number...
is a prime number. For any given integer x {\displaystyle x} , the Kempnerfunction of x {\displaystyle x} is given by the smallest n {\displaystyle n}...
Hypergeometric series Incomplete beta function Incomplete gamma function Jordan–Pólya number Kempnerfunction Lah number Lanczos approximation Lozanić's...
the set of irrational numbers. The name 'Fredholm number' is misplaced: Kempner first proved this number is transcendental, and the note on page 403 states...
Walter Kempner [de] (1903-1997), a German physician and refugee from the Nazis, who was at that time associated with Duke University. Kempner had many...
primarily when it comes to jumps and karate chops. Geo (voiced by Ethan Kempner in Season 1-3 and Juan Mirt in Season 4) is eight years old and Milli's...
117–138; Labuski 2015, p. 19 Shrage & Stewart 2015, pp. 225–229; Schwartz & Kempner 2015, p. 24; Wood 2017, pp. 68–69; Blechner 2017 Rodgers 2003, pp. 92–93;...
the Soviet army in July 1944, Kovner, along with his lieutenants Vitka Kempner and Rozka Korczak, commanded a partisan group called the Avengers ("Nokmim"...
for the Prosecution was Telford Taylor; the chief prosecutor was Robert Kempner. The indictment was filed on 15 November 1947; the hearings lasted from...
L-Functions and Arithmetic. Cambridge University Press. p. 333. ISBN 978-0-521-38619-7. Robert Baillie (2013). "Summing The Curious Series of Kempner and...
Collection Bogomolny, Alexander. "Square root of 2 is irrational". Aubrey J. Kempner (Oct 1916). "On Transcendental Numbers". Transactions of the American Mathematical...
PMID 28871306. Hanner M, Moebius FF, Flandorfer A, Knaus HG, Striessnig J, Kempner E, Glossmann H (July 1996). "Purification, molecular cloning, and expression...
term is a and the common ratio is r then the sum is r/ a (r − 1) . The Kempner series is the sum of the reciprocals of all positive integers not containing...
characters resemble bees. Fulgor (Flynn) Original Voice: David Gasman Teddy Kempner (UK dub) A walking stick born a Yuk/Krud, Fulgor/Flynn was adopted from...
of Neurobiology at Harvard Medical School and founding faculty in the Kempner Institute for the Study of Natural and Artificial Intelligence at Harvard...
International Military Tribunal for the Far East. Lewiston, New York: Robert M.W. Kempner Collegium by E. Edwin Mellen Press. ISBN 978-0-7734-8313-2. Bass, Gary...
Number Theory, American Mathematical Society. ISBN 0-8218-2004-4. Landau's function Landau prime ideal theorem Landau's problems Landau's symbol (Big O notation)...
work, finds Herman at the woman's house. Guest stars: Ken Lynch as Mr. Kempner of the agency, Doris Singleton as Mrs. Andrews 24 24 "Love Locked Out"...
August 2017. Hanner M, Moebius FF, Flandorfer A, Knaus HG, Striessnig J, Kempner E, Glossmann H (July 1996). "Purification, molecular cloning, and expression...
doi:10.1016/j.tiv.2004.07.001. PMID 15826809. Saenz-Méndez P, Katz A, Pérez-Kempner ML, Ventura ON, Vázquez M (April 2017). "Structural insights into human...
radix conversion. Negative bases were later mentioned in passing by A. J. Kempner in 1936 and studied in more detail by Zdzisław Pawlak and A. Wakulicz in...
visit to Germany, Irving met Robert Kempner, one of the American prosecutors at the Nuremberg trials. Irving asked Kempner if the "official record of the Nuremberg...
Bergsohn, Kazimierz Natanson [pl], Jan Natanson [pl] and Stanisław Aleksander Kempner [pl]. Largely, due to efforts by the assimilationists, there was a rapprochement...
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