DLMF:26.4.E1 (Q7786): Difference between revisions

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‎Changed an Item: Add constraint
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Property / Symbols used
 
Property / Symbols used: Q12175 / rank
 
Normal rank
Property / Symbols used: Q12175 / qualifier
 
Defining formula:

( n 1 + n 2 + … + n k n 1 , n 2 , … , n k ) multinomial subscript 𝑛 1 subscript 𝑛 2 … subscript 𝑛 𝑘 subscript 𝑛 1 subscript 𝑛 2 … subscript 𝑛 𝑘 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{n_{1}}+\NVar{n_{2}}+% \dots+\NVar{n_{k}}}{\NVar{n_{1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}}}

\multinomial{\NVar{n_{1}}+\NVar{n_{2}}+\dots+\NVar{n_{k}}}{\NVar{n_{1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}
Property / Symbols used: Q12175 / qualifier
 
xml-id: C26.S4.SS1.p1.m2adec

Revision as of 01:08, 2 January 2020

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DLMF:26.4.E1
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    Statements

    Defining formula
    ( n 1 + n 2 n 1 , n 2 ) = ( n 1 + n 2 n 1 ) = ( n 1 + n 2 n 2 ) , multinomial subscript 𝑛 1 subscript 𝑛 2 subscript 𝑛 1 subscript 𝑛 2 binomial subscript 𝑛 1 subscript 𝑛 2 subscript 𝑛 1 binomial subscript 𝑛 1 subscript 𝑛 2 subscript 𝑛 2 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{n_{1}+n_{2}}{n_{1},n_{2}}=% \genfrac{(}{)}{0.0pt}{}{n_{1}+n_{2}}{n_{1}}=\genfrac{(}{)}{0.0pt}{}{n_{1}+n_{2% }}{n_{2}},}}
    0 references
    DLMF id
    DLMF:26.4.E1
    0 references
    Symbols used
    Q10754
    Defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1adec
    0 references
    Q12175
    Defining formula
    ( n 1 + n 2 + … + n k n 1 , n 2 , … , n k ) multinomial subscript 𝑛 1 subscript 𝑛 2 … subscript 𝑛 𝑘 subscript 𝑛 1 subscript 𝑛 2 … subscript 𝑛 𝑘 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{n_{1}}+\NVar{n_{2}}+% \dots+\NVar{n_{k}}}{\NVar{n_{1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}}}
    xml-id
    C26.S4.SS1.p1.m2adec
    0 references
     
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