DLMF:26.10.E2 (Q7885): Difference between revisions

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Revision as of 23:09, 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 13:59, 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
			Q12191
		Property / Symbols used: Q12191 / rank
			Normal rank
		Property / Symbols used: Q12191 / qualifier
			Defining formula: ${\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}}$ \nrestpartitions[]@{\NVar{\mathrm{condition}}}{\NVar{n}}
		Property / Symbols used: Q12191 / qualifier
			xml-id: C26.S10.SS1.m4abdec
		Property / Symbols used
			Q12176
		Property / Symbols used: Q12176 / rank
			Normal rank
		Property / Symbols used: Q12176 / qualifier
			Defining formula: ${\displaystyle{\displaystyle j}}$ j
		Property / Symbols used: Q12176 / qualifier
			xml-id: C26.S1.XMD3.m1adec
		Property / Symbols used
			Q12171
		Property / Symbols used: Q12171 / rank
			Normal rank
		Property / Symbols used: Q12171 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q12171 / qualifier
			xml-id: C26.S1.XMD5.m1dec
		Property / Symbols used
			Q12172
		Property / Symbols used: Q12172 / rank
			Normal rank
		Property / Symbols used: Q12172 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q12172 / qualifier
			xml-id: C26.S1.XMD6.m1adec
		Property / Symbols used
			Q12189
		Property / Symbols used: Q12189 / rank
			Normal rank
		Property / Symbols used: Q12189 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q12189 / qualifier
			xml-id: C26.S9.XMD1.m1dec

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Latest revision as of 13:59, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:26.10.E2	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\sum_{n=0}^{\infty}p\left(\mathcal{D},n\right)q^{n}=\prod_{j=1}^{\infty}(1+q^{j})=\prod_{j=1}^{\infty}\frac{1}{1-q^{2j-1}}=1+\sum_{m=1}^{\infty}\frac{q^{m(m+1)/2}}{(1-q)(1-q^{2})\cdots(1-q^{m})}=1+\sum_{m=1}^{\infty}q^{m}(1+q)(1+q^{2})\cdots\*(1+q^{m-1}),}}$

0 references

DLMF id

DLMF:26.10.E2

0 references

Symbols used

Q12191

Defining formula

${\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}}$

xml-id

C26.S10.SS1.m4abdec

0 references

Q12176

Defining formula

${\displaystyle{\displaystyle j}}$

xml-id

C26.S1.XMD3.m1adec

0 references

Q12171

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C26.S1.XMD5.m1dec

0 references

Q12172

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C26.S1.XMD6.m1adec

0 references

Q12189

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C26.S9.XMD1.m1dec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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