DLMF:26.11.E4 (Q7907): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12199 / rank
 
Normal rank
Property / Symbols used: Q12199 / qualifier
 
Defining formula:

c m ( n ) number-of-compositions-C-into-parts 𝑚 𝑛 {\displaystyle{\displaystyle c_{\NVar{m}}\left(\NVar{n}\right)}}

\ncompositions[\NVar{m}]@{\NVar{n}}
Property / Symbols used: Q12199 / qualifier
 
xml-id: C26.S11.p1.m5abdec

Revision as of 14:02, 2 January 2020

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DLMF:26.11.E4
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    Statements

    n = 0 c m ( n ) q n = q m ( 1 - q ) m . superscript subscript 𝑛 0 number-of-compositions-C-into-parts 𝑚 𝑛 superscript 𝑞 𝑛 superscript 𝑞 𝑚 superscript 1 𝑞 𝑚 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}c_{m}\left(n\right)q^{n}=\frac{% q^{m}}{(1-q)^{m}}.}}
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    DLMF:26.11.E4
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    c m ( n ) number-of-compositions-C-into-parts 𝑚 𝑛 {\displaystyle{\displaystyle c_{\NVar{m}}\left(\NVar{n}\right)}}
    C26.S11.p1.m5abdec
    0 references