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Fast Factorial Functions

http://www.luschny.de/math/factorial/FastFactorialFunctions.htm

www.luschny.de

Factorial - Wikipedia

https://en.wikipedia.org/wiki/Factorial

en.wikipedia.org

Is the Gamma-function misdefined?

http://www.luschny.de/math/factorial/hadamard/HadamardsGammaFunction.html

www.luschny.de

User:Peter Luschny/FactorialFunction - OeisWiki

http://oeis.org/wiki/User:Peter_Luschny/FactorialFunction

oeis.org

Fast Factorial Function Calculator

http://www.luschny.de/math/factorial/fffcalc.html

www.luschny.de

What Is The Factorial Of 1/2? SURPRISING (1/2)! = (√π)/2

https://www.youtube.com/watch?v=QhDDpSju3uY

www.youtube.com

P. L.

http://www.luschny.de/

www.luschny.de

GitHub - PeterLuschny/Fast-Factorial-Functions: Swing, divide and ...

https://github.com/PeterLuschny/Fast-Factorial-Functions

github.com

Lu (@LuSchny) | Twitter

https://twitter.com/luschny

twitter.com

The Lcm{ 1,2,…,n } as a Product of Sine Values Sampled Over the ...

https://arxiv.org/pdf/0909.1838

arxiv.org

The factorial of -1, -2, -3

http://mathoverflow.net/questions/10124/the-factorial-of-1-2-3

mathoverflow.net

Swing, divide and conquer the factorial

https://oeis.org/A000142/a000142.pdf

oeis.org

All about factorial notation n!

http://factorielle.free.fr/index_en.html

factorielle.free.fr

3d plot with restricted range - ASKSAGE: Sage Q&A Forum

http://ask.sagemath.org/question/10579/3d-plot-with-restricted-range/

ask.sagemath.org

Download as a PDF

http://www.ebyte.it/library/downloads/2007_MTH_Nemes_GammaFunction.pdf

www.ebyte.it

Comments on Factorial Programs

https://people.eecs.berkeley.edu/~fateman/papers/factorial.pdf

people.eecs.berkeley.edu

Calculate the Factorial of an Integer in C# - CodeProject

https://www.codeproject.com/Tips/270413/Calculate-the-Factorial-of-an-Integer-in-Csharp

www.codeproject.com

How would you write factorial(n) in java?

http://www.theserverside.com/news/thread.tss?thread_id=61725

www.theserverside.com

Regolo di Golomb - Wikipedia

https://it.wikipedia.org/wiki/Regolo_di_Golomb

it.wikipedia.org

What are some efficient algorithms to compute nCr? - Quora

https://www.quora.com/What-are-some-efficient-algorithms-to-compute-nCr

www.quora.com

PHP Recursive Function Example: Factorial Numbers | LornaJane

https://www.lornajane.net/posts/2012/php-recursive-function-example-factorial-numbers

www.lornajane.net

Fórmula de Stirling - Wikipedia, la enciclopedia libre

https://es.wikipedia.org/wiki/F%C3%B3rmula_de_Stirling

es.wikipedia.org

Englisch Deutsch Wörterbuch Wörter Übersetzung auf in was heißt ...

http://www.purl.org/stefan_ram/pub/englisch_woerter_de

www.purl.org

Download (85kB)

http://repository.wit.ie/2107/1/Eulerian_e.pdf

repository.wit.ie

Complete List of Prime Number Rulers

http://bach.istc.kobe-u.ac.jp/papers/pdf/pnr.pdf

bach.istc.kobe-u.ac.jp

Golomb-liniaal - Wikipedia

https://nl.wikipedia.org/wiki/Golomb-liniaal

nl.wikipedia.org

Fastfactorial - Fast factorial calculation with Prime Swing algorithm

http://www.findbestopensource.com/product/fastfactorial

www.findbestopensource.com

Which data type or data structure to choose to calculate factorial

http://stackoverflow.com/questions/15205587/which-data-type-or-data-structure-to-choose-to-calculate-factorial-of-100

stackoverflow.com

Full-Text PDF

https://www.emis.de/journals/HOA/IJMMS/Volume2012/424189.pdf

www.emis.de

Studio Braunschweig | NDR.de - NDR 1 Niedersachsen - Wir über uns

http://www.ndr.de/ndr1niedersachsen/wir_ueber_uns/Studio-Braunschweig,studio2.html

www.ndr.de

W.Ehrhardt: MPArith intro

http://www.wolfgang-ehrhardt.de/mp_intro.html

www.wolfgang-ehrhardt.de

c/o- Lars A.Clarenbach Neuigkeiten

http://www.utilitarismus.de/news.htm

www.utilitarismus.de

Asymptotic expansions related to hyperfactorial function and ...

http://dl.acm.org/citation.cfm?id=2910116.2910242

dl.acm.org

EVEN-PANCYCLIC SUBGRAPHS OF MESHES Anthony Delgado1 ...

http://widulski.net/publications/Even_Pancyclic_Subgraphs_of_Meshes_2008.pdf

widulski.net

Monotonicity properties, inequalities and asymptotic expansions ...

http://dl.acm.org/citation.cfm?id=2910116.2910237

dl.acm.org

fastest code - How much can you quickly multiply? - Programming ...

http://codegolf.stackexchange.com/questions/26681/how-much-can-you-quickly-multiply

codegolf.stackexchange.com

Factorials of real negative and imaginary numbers - A new perspective

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4247832/

www.ncbi.nlm.nih.gov

Asymptotic Expansions of Central Binomial Coefficients and Catalan ...

https://cs.uwaterloo.ca/journals/JIS/VOL17/Elezovic/elezovic5.pdf

cs.uwaterloo.ca

c++ - Parallel factorial algorithm using std::thread - Code Review ...

http://codereview.stackexchange.com/questions/94574/parallel-factorial-algorithm-using-stdthread

codereview.stackexchange.com

The gamma function

https://www.johndcook.com/blog/2009/01/13/the-gamma-function/

www.johndcook.com

Eulerian polynomials as moments, via exponential Riordan arrays

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.766.7771&rep=rep1&type=pdf

citeseerx.ist.psu.edu

Construction and factorial validation of a short form of the ...

http://self-compassion.org/wp-content/uploads/publications/scsshort.pdf

self-compassion.org

New asymptotic expansion for the Gamma function | SpringerLink

http://link.springer.com/article/10.1007/s00013-010-0146-9

link.springer.com

Why is Euler's Gamma function the "best" extension of the factorial ...

http://math.stackexchange.com/questions/1537/why-is-eulers-gamma-function-the-best-extension-of-the-factorial-function-to

math.stackexchange.com

Factorielle — Wikipédia

https://fr.wikipedia.org/wiki/Factorielle

fr.wikipedia.org

Naive Parallel Factorial in Erlang

http://swvist.github.io/09-13-2012-naive_parallel_factorial_in_erlang.html

swvist.github.io

Louisa Luschny | LinkedIn

https://de.linkedin.com/in/louisa-luschny-abb42b117

de.linkedin.com

ユーザー事例:AKS素数判定法のアルゴリズム : 数式処理・数式モデル ...

http://www.cybernet.co.jp/maple/tech/user/ask.html

www.cybernet.co.jp

GNU MP 6.1.2: Factorial Algorithm

https://gmplib.org/manual/Factorial-Algorithm.html

gmplib.org

计算阶乘的另一些有趣的算法| Matrix67: The Aha Moments

http://www.matrix67.com/blog/archives/393

www.matrix67.com

Simple Functions in Haskell – Good Math, Bad Math

http://scienceblogs.com/goodmath/2006/11/28/simple-functions-in-haskell-1/

scienceblogs.com

Definition:Factorial - ProofWiki

https://proofwiki.org/wiki/Definition:Factorial

proofwiki.org

19, 36, 51, 64, 75, 84, 91, 96, 99, 100, 99, 96, 91, 84, 75, 64, 51, 36

http://pari.math.u-bordeaux.fr/archives/pari-dev-1301/msg00024.html

pari.math.u-bordeaux.fr

Asymptote Links

http://asymptote.sourceforge.net/links.html

asymptote.sourceforge.net

RESPONSABLES / CONTACTS | efa-cect

http://efa-cect.univ-lorraine.fr/responsables-contacts/

efa-cect.univ-lorraine.fr

Fakultät (Mathematik) – Wikipedia

https://de.wikipedia.org/wiki/Fakult%C3%A4t_(Mathematik)

de.wikipedia.org

Multinomial coefficients: Introduction to the factorials and binomials

http://functions.wolfram.com/GammaBetaErf/Multinomial/introductions/FactorialBinomials/ShowAll.html

functions.wolfram.com

Symmetry Fermionic -Adic -Integral on for Eulerian Polynomials

https://www.hindawi.com/journals/ijmms/2012/424189/

www.hindawi.com

Coefficients for the Lanczos Approximation to the Gamma Function ...

https://mrob.com/pub/ries/lanczos-gamma.html

mrob.com

Euler's constant: Euler's work and modern developments

http://www.ams.org/bull/2013-50-04/S0273-0979-2013-01423-X/S0273-0979-2013-01423-X.pdf

www.ams.org

An efficient algorithm for the computation of Bernoulli numbers

https://pdfs.semanticscholar.org/a01a/e67b3a0b63bee72dd42a5a342db05017f08e.pdf

pdfs.semanticscholar.org

Was bewegt Pinar Atalay?: "Sie sprechen aber gut Deutsch!" | ZEIT ...

http://www.zeit.de/2014/39/pinar-atalay-tagesthemen

www.zeit.de

1000+ images about sound data i on Pinterest

https://www.pinterest.com/mirkosablich/sound-data-i/

www.pinterest.com

Castlerigg Walk

http://www.lakedistrict.gov.uk/__data/assets/pdf_file/0007/171790/kw-nu_castlerigg_walk_4a-2-10.pdf

www.lakedistrict.gov.uk

Inequalities, asymptotic expansions and completely monotonic ...

https://repository.abertay.ac.uk/jspui/bitstream/handle/10373/1866/Paris_Inequalities,AsymptoticExpansionsAndCompletelyMonotonicFunctionsRelatedToTheGammaFunction_Author_2014.pdf?sequence=2

repository.abertay.ac.uk

La fonction factorielle • Forums • Zeste de Savoir

https://zestedesavoir.com/forums/sujet/2822/la-fonction-factorielle/

zestedesavoir.com

Combinatorial aspects of continued fractions

http://algo.inria.fr/flajolet/Publications/Flajolet80b.pdf

algo.inria.fr

Math-243

http://faculty.ksu.edu.sa/fawaz/Courses/math-243.aspx

faculty.ksu.edu.sa

Sharp inequalities related to Gosper's formula (PDF Download ...

https://www.researchgate.net/publication/257673929_Sharp_inequalities_related_to_Gosper's_formula

www.researchgate.net

Factorial

https://www.cs.mcgill.ca/~rwest/link-suggestion/wpcd_2008-09_augmented/wp/f/Factorial.htm

www.cs.mcgill.ca

Factorial

http://www.scientificlib.com/en/Mathematics/NumberTheory/Factorial.html

www.scientificlib.com

CoR - Un plan de communication 2015-2019 pour "Reconnecter l ...

http://cor.europa.eu/fr/news/Pages/2015-2019-communication-plan.aspx

cor.europa.eu

Reliable integer root function? - ASKSAGE: Sage Q&A Forum

https://ask.sagemath.org/question/30375/reliable-integer-root-function/

ask.sagemath.org

efficiency - Factorial algorithm more efficient than naive ...

http://cs.stackexchange.com/questions/14456/factorial-algorithm-more-efficient-than-naive-multiplication

cs.stackexchange.com

The Reference Frame: Common crackpots' errors

http://motls.blogspot.com/2005/08/common-crackpots-errors.html

motls.blogspot.com

Bernoulli and Euler Polynomials

http://i-rep.emu.edu.tr:8080/xmlui/bitstream/handle/11129/1352/CatmaGunes.pdf?sequence=1

i-rep.emu.edu.tr

Göttingen hilft - Wir Göttinger helfen Flüchtlingen

http://goettingen-hilft.de/

goettingen-hilft.de

Loriot: Biographie: Amazon.de: Dieter Lobenbrett: Bücher

https://www.amazon.de/Loriot-Biographie-Dieter-Lobenbrett/dp/3868831436

www.amazon.de

A bit of midweek fun: ANCIENT GREEK GEOMETRY | The Aperiodical

http://aperiodical.com/2013/06/a-bit-of-midweek-fun-ancient-greek-geometr/

aperiodical.com

Olivier Guibé » Asymptote

http://math.mad.free.fr/wordpress/?page_id=41

math.mad.free.fr

Semiprime -- from Wolfram MathWorld

http://mathworld.wolfram.com/Semiprime.html

mathworld.wolfram.com

covers - Setting author and co-authors - TeX - LaTeX Stack Exchange

http://tex.stackexchange.com/questions/270283/setting-author-and-co-authors

tex.stackexchange.com

Arsenal FC Collection

http://www.gettyimages.com/collections/arsenalfc

www.gettyimages.com

A product of Gamma function values at fractions with the same ...

https://www.math.ubc.ca/~gerg/papers/downloads/PGFVFSD.pdf

www.math.ubc.ca

Maria Luisa | Facebook

https://fr-fr.facebook.com/Maria-Luisa-10150155988895717/

fr-fr.facebook.com

c++ - Самый быстрый факториал - Stack Overflow на русском

http://ru.stackoverflow.com/questions/2479/%D0%A1%D0%B0%D0%BC%D1%8B%D0%B9-%D0%B1%D1%8B%D1%81%D1%82%D1%80%D1%8B%D0%B9-%D1%84%D0%B0%D0%BA%D1%82%D0%BE%D1%80%D0%B8%D0%B0%D0%BB

ru.stackoverflow.com

Java hub | ВКонтакте

https://vk.com/java_hub

vk.com

mathematics - First to enumerate integer partitions? - History of ...

http://hsm.stackexchange.com/questions/5264/first-to-enumerate-integer-partitions

hsm.stackexchange.com

Parallel Computation of Sparse Rulers | Intel® Software

https://software.intel.com/en-us/articles/parallel-computation-of-sparse-rulers

software.intel.com

Combinatorics

http://www.math.ucla.edu/~petersen/counting.pdf

www.math.ucla.edu

BigInteger Algorithms: Odd prime sieve

http://bigintegers.blogspot.com/2016/08/odd-prime-sieve.html

bigintegers.blogspot.com

عدد برنولي - المعرفة‎

http://www.marefa.org/index.php/%D8%B9%D8%AF%D8%AF_%D8%A8%D8%B1%D9%86%D9%88%D9%84%D9%8A

www.marefa.org

Sage 7.0 was released on 19 January 2016. It is available in source ...

https://www.sagemath.org/changelogs/sage-7.0.txt

www.sagemath.org

FindStat - Contributors

http://www.findstat.org/Contributors

www.findstat.org

Newsletter - DJV - Deutscher Journalisten-Verband Niedersachsen

http://www.djv-niedersachsen.de/index.php?id=8802

www.djv-niedersachsen.de

Agrawal-Saxena-Kayal algorithm

http://kodu.ut.ee/~lipmaa/crypto/link/primality_tests/aks.php

kodu.ut.ee

Bernoulli numbers - Rosetta Code

https://rosettacode.org/wiki/Bernoulli_numbers

rosettacode.org

本文PDF [1750K]

https://www.jstage.jst.go.jp/article/sugaku1947/56/1/56_1_73/_pdf

www.jstage.jst.go.jp

แฟกทอเรียล - วิกิพีเดีย

https://th.wikipedia.org/wiki/%E0%B9%81%E0%B8%9F%E0%B8%81%E0%B8%97%E0%B8%AD%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%A5

th.wikipedia.org