DLMF:17.2.E28 (Q5318): Difference between revisions

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Revision as of 15:55, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 14:49, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q10754
		Property / Symbols used: Q10754 / rank
			Normal rank
		Property / Symbols used: Q10754 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$ \binom{\NVar{m}}{\NVar{n}}
		Property / Symbols used: Q10754 / qualifier
			xml-id: C1.S2.SS1.m1aidec
		Property / Symbols used
			Q10755
		Property / Symbols used: Q10755 / rank
			Normal rank
		Property / Symbols used: Q10755 / qualifier
			Defining formula: ${\displaystyle{\displaystyle!}}$ !
		Property / Symbols used: Q10755 / qualifier
			xml-id: introduction.Sx4.p1.t1.r15.m5adec
		Property / Symbols used
			$$q$$ -binomial coefficient (or Gaussian polynomial)
		Property / Symbols used: $$q$$ -binomial coefficient (or Gaussian polynomial) / rank
			Normal rank
		Property / Symbols used: $$q$$ -binomial coefficient (or Gaussian polynomial) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar{q}}}}$ \qbinom{\NVar{n}}{\NVar{m}}{\NVar{q}}
		Property / Symbols used: $$q$$ -binomial coefficient (or Gaussian polynomial) / qualifier
			xml-id: C17.S2.E27.m2aadec
		Property / Symbols used
			Q11710
		Property / Symbols used: Q11710 / rank
			Normal rank
		Property / Symbols used: Q11710 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q11710 / qualifier
			xml-id: C17.S1.XMD10.m1aadec
		Property / Symbols used
			Q11716
		Property / Symbols used: Q11716 / rank
			Normal rank
		Property / Symbols used: Q11716 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q11716 / qualifier
			xml-id: C17.S1.XMD3.m1adec
		Property / Symbols used
			Q11711
		Property / Symbols used: Q11711 / rank
			Normal rank
		Property / Symbols used: Q11711 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11711 / qualifier
			xml-id: C17.S1.XMD4.m1xdec

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Latest revision as of 14:49, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:17.2.E28	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\lim_{q\to 1}\genfrac{[}{]}{0.0pt}{}{n}{m}_{q}=\genfrac{(}{)}{0.0pt}{}{n}{m}=\frac{n!}{m!(n-m)!},}}$

0 references

DLMF id

DLMF:17.2.E28

0 references

Symbols used

Q10754

Defining formula

${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$

xml-id

C1.S2.SS1.m1aidec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5adec

0 references

$$q$$ -binomial coefficient (or Gaussian polynomial)

Defining formula

${\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar{q}}}}$

xml-id

C17.S2.E27.m2aadec

0 references

Q11710

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C17.S1.XMD10.m1aadec

0 references

Q11716

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C17.S1.XMD3.m1adec

0 references

Q11711

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C17.S1.XMD4.m1xdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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