factorial (Q1587): Difference between revisions

@@ Property / OEIS ID @@
+A000142
@@ Property / OEIS ID: A000142 / rank @@
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@@ Property / Freebase ID @@
+/m/02w2m
@@ Property / Freebase ID: /m/02w2m / rank @@
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@@ Property / Freebase ID: /m/02w2m / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
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@@ Property / Stack Exchange tag @@
+https://stackoverflow.com/tags/factorial
@@ Property / Stack Exchange tag: https://stackoverflow.com/tags/factorial / rank @@
+Normal rank
@@ Property / Stack Exchange tag @@
+https://math.stackexchange.com/tags/factorial
+Normal rank
@@ Property / Commons category @@
+Factorial (function)
@@ Property / Commons category: Factorial (function) / rank @@
+Normal rank
@@ Property / instance of @@
+real-valued function
@@ Property / instance of: real-valued function / rank @@
+Normal rank
@@ Property / instance of @@
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@@ Property / instance of: function / rank @@
+Normal rank
@@ Property / instance of @@
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@@ Property / instance of: integer sequence / rank @@
+Normal rank
@@ Property / input set @@
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@@ Property / input set: set of integers / rank @@
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@@ Property / codomain @@
+set of non-negative integers
@@ Property / codomain: set of non-negative integers / rank @@
+Normal rank
@@ Property / described by source @@
+Armenian Soviet Encyclopedia
@@ Property / described by source: Armenian Soviet Encyclopedia / rank @@
+Normal rank
@@ Property / described by source @@
+The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition
+Normal rank
+section, verse, paragraph, or clause: 1.2.5
+page(s): 45-52
@@ Property / described by source @@
+ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
+Normal rank
+section, verse, paragraph, or clause: 2-11.1
+subject named as: factorial
@@ Property / defining formula @@
+ $n!={\begin{cases}\prod _{k=1}^{n}k&n>0\\1&n=0\end{cases}}$ 
n! = \begin{cases} \prod_{k = 1}^n k & n > 0 \\ 1 & n = 0 \end{cases}
+Normal rank
+stated in: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
section, verse, paragraph, or clause: 2-11.1
@@ Property / MathWorld ID @@
+Factorial
@@ Property / MathWorld ID: Factorial / rank @@
+Normal rank
@@ Property / MathWorld ID: Factorial / reference @@
+imported from Wikimedia project: English Wikipedia
@@ Property / Quora topic ID @@
+Factorial-1
@@ Property / Quora topic ID: Factorial-1 / rank @@
+Normal rank
@@ Property / Quora topic ID: Factorial-1 / reference @@
+stated in: Quora
@@ Property / JSTOR topic ID @@
+factorials
@@ Property / JSTOR topic ID: factorials / rank @@
+Normal rank
@@ Property / Encyclopædia Britannica Online ID @@
+topic/factorial
@@ Property / Encyclopædia Britannica Online ID: topic/factorial / rank @@
+Normal rank
@@ Property / Encyclopædia Britannica Online ID: topic/factorial / qualifier @@
+subject named as: factorial
@@ Property / BabelNet ID @@
+00032673n
@@ Property / BabelNet ID: 00032673n / rank @@
+Normal rank
@@ Property / BabelNet ID: 00032673n / reference @@
+stated in: BabelNet
@@ Property / described at URL @@
+https://www.openmath.org/cd/integer1.xhtml#factorial
+Normal rank
+language of work or name: English
@@ Property / described at URL @@
+https://www.w3.org/TR/MathML3/chapter4.html#contm.factorial
+Normal rank
+language of work or name: English
@@ Property / Elhuyar ZTH ID @@
@@ Property / Elhuyar ZTH ID: 032440 / rank @@
+Normal rank
@@ Property / Dictionary of Algorithms and Data Structures ID @@
+factorial
@@ Property / Dictionary of Algorithms and Data Structures ID: factorial / rank @@
+Normal rank
@@ Property / Great Russian Encyclopedia Online ID (old version) @@
+4705409
@@ Property / Great Russian Encyclopedia Online ID (old version): 4705409 / rank @@
+Normal rank
+subject named as: ФАКТОРИАЛ
@@ Property / OpenMath ID @@
+integer1#factorial
@@ Property / OpenMath ID: integer1#factorial / rank @@
+Normal rank
@@ Property / different from @@
+gamma function
@@ Property / different from: gamma function / rank @@
+Normal rank
@@ Property / different from: gamma function / qualifier @@
+criterion used: offset
@@ Property / Gran Enciclopèdia Catalana ID (former scheme) @@
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@@ Property / Gran Enciclopèdia Catalana ID (former scheme): 0182881 / rank @@
+Normal rank
@@ Property / Australian Educational Vocabulary ID @@
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@@ Property / Australian Educational Vocabulary ID: scot/1623 / rank @@
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@@ Property / Microsoft Academic ID @@
+183763347
@@ Property / Microsoft Academic ID: 183763347 / rank @@
+Normal rank
@@ Property / GND ID @@
+4153607-1
@@ Property / GND ID: 4153607-1 / rank @@
+Normal rank
@@ Property / GND ID: 4153607-1 / reference @@
+imported from Wikimedia project: German Wikipedia
Wikimedia import URL: https://de.wikipedia.org/w/index.php?title=Fakultät_(Mathematik)&oldid=197872453
@@ Property / topic's main category @@
+Category:Factorial and binomial topics
@@ Property / topic's main category: Category:Factorial and binomial topics / rank @@
+Normal rank
@@ Property / nLab ID @@
+factorial
@@ Property / nLab ID: factorial / rank @@
+Normal rank
@@ Property / Interlingual Index ID @@
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@@ Property / Interlingual Index ID: i67665 / rank @@
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@@ Property / OmegaWiki Defined Meaning @@
@@ Property / OmegaWiki Defined Meaning: 405815 / rank @@
+Normal rank
@@ Property / related image @@
+Euler factorial paper.png
@@ Property / related image: Euler factorial paper.png / rank @@
+Normal rank
@@ Property / Online PWN Encyclopedia ID @@
+3975225
@@ Property / Online PWN Encyclopedia ID: 3975225 / rank @@
+Normal rank
@@ Property / in defining formula @@
+ $n!$ 
n!
@@ Property / in defining formula: $n!$ / rank @@
+Normal rank
@@ Property / in defining formula: $n!$ / qualifier @@
+symbol represents: factorial
@@ Property / in defining formula @@
+ $\prod$ 
\prod
@@ Property / in defining formula: $\prod$ / rank @@
+Normal rank
@@ Property / in defining formula: $\prod$ / qualifier @@
+symbol represents: product
@@ Property / OpenAlex ID @@
+C183763347
@@ Property / OpenAlex ID: C183763347 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C183763347 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
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reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
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++2022-01-26T00:00:00Z
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@@ Property / Fandom article ID @@
+math:Factorial
@@ Property / Fandom article ID: math:Factorial / rank @@
+Normal rank
@@ Property / Fandom article ID: math:Factorial / qualifier @@
+subject named as: Factorial
@@ Property / Fandom article ID: math:Factorial / qualifier @@
+language of work or name: English
@@ Property / on focus list of Wikimedia project @@
+Wikipedia:Vital articles/Level/4
+Normal rank
+point in time: 31 October 2022Timestamp +2022-10-31T00:00:00Z
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@@ Property / Store norske leksikon ID: n-fakultet / rank @@
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@@ Property / ScienceDirect topic ID @@
+mathematics/factorials
@@ Property / ScienceDirect topic ID: mathematics/factorials / rank @@
+Normal rank
@@ Property / definition domain @@
+set of non-negative integers
@@ Property / definition domain: set of non-negative integers / rank @@
+Normal rank
@@ Property / studied in @@
+combinatorics
@@ Property / studied in: combinatorics / rank @@
+Normal rank
@@ Property / studied in @@
+number theory
@@ Property / studied in: number theory / rank @@
+Normal rank
@@ Property / image @@
+Factorial 1-5.png
@@ Property / image: Factorial 1-5.png / rank @@
+Normal rank
@@ Property / Treccani ID @@
+fattoriale
@@ Property / Treccani ID: fattoriale / rank @@
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@@ Property / Treccani ID: fattoriale / qualifier @@
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@@ Property / Treccani Vocabulary ID @@
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+subject named as: fattoriale
@@ Property / Treccani's Enciclopedia Italiana ID @@
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@@ Property / Treccani's Enciclopedia Italiana ID: fattoriale / rank @@
+Normal rank
@@ Property / Treccani's Enciclopedia Italiana ID: fattoriale / qualifier @@
+subject named as: FATTORIALE
@@ Property / Treccani's Enciclopedia Italiana ID: fattoriale / qualifier @@
+author name string: Giovanni Lampariello
@@ Property / Treccani's Enciclopedia Italiana ID: fattoriale / qualifier @@
+publication date: 1932Timestamp +1932-01-01T00:00:00Z
Timezone +00:00
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@@ Property / Treccani's Enciclopedia della Matematica ID @@
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@@ Property / Treccani's Enciclopedia della Matematica ID: fattoriale / rank @@
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@@ Property / Treccani's Enciclopedia della Matematica ID: fattoriale / qualifier @@
+subject named as: fattoriale
@@ Property / Treccani's Enciclopedia della Matematica ID: fattoriale / qualifier @@
+publication date: 2017Timestamp +2017-01-01T00:00:00Z
Timezone +00:00
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++2017-01-01T00:00:00Z
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 After
@@ Property / ProofWiki ID @@
+Definition:Factorial
@@ Property / ProofWiki ID: Definition:Factorial / rank @@
+Normal rank
@@ Property / Gran Enciclopèdia Catalana ID @@
+factorial
@@ Property / Gran Enciclopèdia Catalana ID: factorial / rank @@
+Normal rank
@@ Property / PlanetMath ID @@
+Factorial
@@ Property / PlanetMath ID: Factorial / rank @@
+Normal rank
@@ Property / PlanetMath ID @@
+AsymptoticBoundsForFactorial
@@ Property / PlanetMath ID: AsymptoticBoundsForFactorial / rank @@
+Normal rank
@@ Property / Vikidia article ID @@
+fr:Factorielle
@@ Property / Vikidia article ID: fr:Factorielle / rank @@
+Normal rank
@@ Property / Metamath statement ID @@
+df-fac
@@ Property / Metamath statement ID: df-fac / rank @@
+Normal rank

Latest revision as of 16:01, 29 July 2024

product of all integers between 1 and the integral input of the function

factorial function
!
n!
Factorial function
Factorials
Factorial number
! (math)

Language	Label	Description	Also known as
English	factorial	product of all integers between 1 and the integral input of the function	factorial function ! n! Factorial function Factorials Factorial number ! (math)