binomial coefficient (Q3545): Difference between revisions

@@ Property / Commons category @@
+Binomial coefficients
@@ Property / Commons category: Binomial coefficients / rank @@
+Normal rank
@@ Property / Commons category: Binomial coefficients / reference @@
+imported from Wikimedia project: Spanish Wikipedia
@@ Property / Freebase ID @@
+/m/01h7m
@@ Property / Freebase ID: /m/01h7m / rank @@
+Normal rank
@@ Property / Freebase ID: /m/01h7m / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / TeX string @@
+\binom{n}{k}
@@ Property / TeX string: \binom{n}{k} / rank @@
+Normal rank
@@ Property / TeX string @@
+{n \choose k}
@@ Property / TeX string: {n \choose k} / rank @@
+Normal rank
@@ Property / subclass of @@
+non-negative integer
@@ Property / subclass of: non-negative integer / rank @@
+Normal rank
@@ Property / instance of @@
+coefficient
@@ Property / instance of: coefficient / rank @@
+Normal rank
@@ Property / instance of: coefficient / qualifier @@
+of: binomial theorem
@@ Property / defining formula @@
+ ${\binom {n}{k}}={\frac {n!}{k!(n-k)!}},0\leq k\leq n$ 
\binom{n}{k} = \frac{n!}{k! (n - k)!}, 0 \leq k \leq n
+Normal rank
+stated in: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
section, verse, paragraph, or clause: 2-11.4
@@ Property / described by source @@
+Brockhaus and Efron Encyclopedic Dictionary
+Normal rank
@@ Property / described by source @@
+Encyclopedic Lexicon
@@ Property / described by source: Encyclopedic Lexicon / 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: 1.2.6
+page(s): 52-74
@@ Property / described by source @@
+ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
+Normal rank
+section, verse, paragraph, or clause: 2-11.4
+subject named as: binomial coefficient
@@ Property / part of @@
+Pascal's triangle
@@ Property / part of: Pascal's triangle / rank @@
+Normal rank
@@ Property / MathWorld ID @@
+BinomialCoefficient
@@ Property / MathWorld ID: BinomialCoefficient / rank @@
+Normal rank
@@ Property / MathWorld ID: BinomialCoefficient / qualifier @@
+subject named as: Binomial Coefficient
@@ Property / MathWorld ID: BinomialCoefficient / reference @@
+imported from Wikimedia project: Spanish Wikipedia
@@ Property / JSTOR topic ID @@
+binomial-coefficients
@@ Property / JSTOR topic ID: binomial-coefficients / rank @@
+Normal rank
@@ Property / Encyclopædia Britannica Online ID @@
+topic/binomial-coefficient
+Normal rank
+subject named as: binomial coefficients
@@ Property / facet of @@
+combination
@@ Property / facet of: combination / rank @@
+Normal rank
@@ Property / PlanetMath ID @@
+BinomialCoefficient
@@ Property / PlanetMath ID: BinomialCoefficient / rank @@
+Normal rank
@@ Property / PlanetMath ID: BinomialCoefficient / reference @@
+Wikimedia import URL: https://www.wikidata.org/wiki/Wikidata:Property_proposal/PlanetMath
@@ Property / Microsoft Academic ID @@
+34718186
@@ Property / Microsoft Academic ID: 34718186 / rank @@
+Normal rank
@@ Property / Online PWN Encyclopedia ID @@
+3947031
@@ Property / Online PWN Encyclopedia ID: 3947031 / rank @@
+Normal rank
@@ Property / in defining formula @@
+ ${\binom {n}{k}}$ 
\binom{n}{k}
@@ Property / in defining formula: ${\binom {n}{k}}$ / rank @@
+Normal rank
@@ Property / in defining formula: ${\binom {n}{k}}$ / qualifier @@
+symbol represents: binomial coefficient
@@ Property / in defining formula @@
+ $n!$ 
n!
@@ Property / in defining formula: $n!$ / rank @@
+Normal rank
@@ Property / in defining formula: $n!$ / qualifier @@
+symbol represents: factorial
@@ Property / OpenAlex ID @@
+C34718186
@@ Property / OpenAlex ID: C34718186 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C34718186 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Den Store Danske ID @@
+binomialkoefficient
@@ Property / Den Store Danske ID: binomialkoefficient / rank @@
+Normal rank
@@ Property / Fandom article ID @@
+math:Binomial_coefficient
@@ Property / Fandom article ID: math:Binomial_coefficient / rank @@
+Normal rank
@@ Property / Fandom article ID: math:Binomial_coefficient / qualifier @@
+subject named as: Binomial coefficient
@@ Property / Fandom article ID: math:Binomial_coefficient / qualifier @@
+language of work or name: English
@@ Property / Quora topic ID @@
+Binomial-Coefficients
@@ Property / Quora topic ID: Binomial-Coefficients / rank @@
+Normal rank
@@ Property / OEIS ID @@
+A073354
@@ Property / OEIS ID: A073354 / rank @@
+Normal rank
@@ Property / studied in @@
+Q3546
@@ Property / studied in: Q3546 / rank @@
+Normal rank
@@ Property / GND ID @@
+4145586-1
@@ Property / GND ID: 4145586-1 / rank @@
+Normal rank
@@ Property / Digital Library of Mathematical Functions ID @@
+.2.i
@@ Property / Digital Library of Mathematical Functions ID: 1.2.i / rank @@
+Normal rank
@@ Property / Treccani's Enciclopedia della Matematica ID @@
+coefficiente-binomiale
+Normal rank
+subject named as: coefficiente binomiale
+publication date: 2013Timestamp +2013-01-01T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++2013-01-01T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / Encyclopedia of Mathematics article ID @@
+Binomial_coefficients
@@ Property / Encyclopedia of Mathematics article ID: Binomial_coefficients / rank @@
+Normal rank
+subject named as: Binomial coefficients
@@ Property / is a number of @@
+combination
@@ Property / is a number of: combination / rank @@
+Normal rank
@@ Property / is a number of: combination / reference @@
+imported from Wikimedia project: English Wikipedia
retrieved: 9 September 2023Timestamp +2023-09-09T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
Wikimedia import URL: https://en.wikipedia.org/w/index.php?title=Binomial_coefficient&oldid=1174312477#Definition_and_interpretations
-Timestamp
++2023-09-09T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / ProofWiki ID @@
+Definition:Binomial_Coefficient
@@ Property / ProofWiki ID: Definition:Binomial_Coefficient / rank @@
+Normal rank
@@ Property / Open Library subject ID @@
+binomial_coefficients
@@ Property / Open Library subject ID: binomial_coefficients / rank @@
+Normal rank
@@ Property / Open Library subject ID: binomial_coefficients / qualifier @@
+subject named as: Binomial coefficients
@@ Property / Metamath statement ID @@
+df-bc
@@ Property / Metamath statement ID: df-bc / rank @@
+Normal rank