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Binomial
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#	Item
681	Seven Staggering Sequences N. J. A. Sloane Algorithms and Optimization Department AT&T Shannon Lab Florham Park, NJ 07932–0971 Email address: [removed] Add to Reading List Source URL: neilsloane.com Language: English - Date: 2012-01-02 21:20:56 Combinatorics Recurrence relations On-Line Encyclopedia of Integer Sequences Sequence Generating function Collatz conjecture Summation Factorial Binomial coefficient Mathematics Integer sequences Number theory
682	Partitions in the quintillions or Billions of congruences Fredrik Johansson November 2011 Add to Reading List Source URL: fredrikj.net Language: English - Date: 2013-04-03 06:22:12 Combinatorics Factorial Bernoulli number Binomial coefficient Exponentiation Pi Partition Prime number Logarithm Mathematics Integer sequences Number theory
683	2011 U OF I MOCK PUTNAM CONTEST Solutions 1. [Variation of A2, Putnam[removed]The sequence of digits[removed][removed] ... is obtained by writing out the natural numbers in order. Let f (n) denote the posit Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-10-05 10:16:18 Mathematical series Binomial coefficient Combinatorics Natural logarithm Exponentiation Pi Wallis product Natural logarithm of 2 Mathematics Mathematical analysis Logarithms
684	2011 U OF I FRESHMAN MATH CONTEST Solutions 1. Let x = 0.[removed][removed]be the number whose decimal expansion consists of the sequence of natural numbers written next to each other. (a) Determine the 2011th digi Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-10-01 17:22:28 Combinatorics Number theory Mathematical series Complex analysis Binomial coefficient Factorial Pi Summation Proof that π is irrational Mathematics Mathematical analysis Integer sequences
685	Majority Algorithm Solution Brian Rothstein October 22, 1999 1 Add to Reading List Source URL: www.ugcs.caltech.edu Language: English - Date: 2007-09-20 19:32:04 Binomial coefficient Randomized algorithm Mathematics Combinatorics Automata theory
686	On the log-concavity of the degenerate Bernoulli numbers Florian Luca Instituto de Matem´aticas Universidad Nacional Aut´onoma de M´exico C.P[removed], Morelia, Michoac´an, M´exico Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2011-10-07 14:23:41 Spectral theory Number theory Operator theory Bernoulli number Topology Binomial coefficient Λ-ring Sturm–Liouville theory Mathematics Mathematical analysis Integer sequences
687	UIUC UNDERGRADUATE MATH CONTEST April 8, [removed]Determine, without numerical calculations, which of the two numbers √ Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2006-04-08 17:58:20 Ring theory Elementary mathematics Combinatorics Elementary number theory Integer Liouville number Binomial coefficient Mathematics Abstract algebra Algebraic number theory
688	Convergence of Infinite Series in General and Taylor Series in Particular E. L. Lady (October 31, 1998) Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:45:32 Harmonic series Taylor series Binomial series Geometric series Pi Summation Divergent series Laurent series Mathematical analysis Mathematical series Series
689	The Journal of Neuroscience, January 14, 2004 • 24(2):447– 461 • 447 Behavioral/Systems/Cognitive Dynamic Analysis of Learning in Behavioral Experiments Anne C. Smith,1,2 Loren M. Frank,1,2 Sylvia Wirth,3 Marianna Add to Reading List Source URL: web.mit.edu Language: English - Date: 2013-06-13 13:47:44 Signal processing Image processing Data analysis Time series analysis Normal distribution Expectation–maximization algorithm Algorithm Estimation theory Binomial probability Statistics Science Statistical inference
690	2014 UI UNDERGRADUATE MATH CONTEST Solutions 1. (a) Does there exist a multiple of 2013 whose decimal representation ends in the digits 2014? Explain! (b) Does there exist a power of 2 whose decimal representation ends i Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2014-02-15 21:13:47 Integer sequences Number theory Exponentials Binomial coefficient Factorial Summation Exponential function Proof that π is irrational Basel problem Mathematics Mathematical analysis Combinatorics