DLMF:26.3.E1 (Q7774): Difference between revisions

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Property / constraint
 

m n 𝑚 𝑛 {\displaystyle{\displaystyle m\geq n}}

m\geq n
Property / constraint: m n 𝑚 𝑛 {\displaystyle{\displaystyle m\geq n}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10754 / rank
 
Normal rank
Property / Symbols used: Q10754 / qualifier
 
test:

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

\binom{\NVar{m}}{\NVar{n}}
Property / Symbols used: Q10754 / qualifier
 
xml-id: C1.S2.SS1.m1adec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec
Property / Symbols used
 
Property / Symbols used: Q12171 / rank
 
Normal rank
Property / Symbols used: Q12171 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12171 / qualifier
 
xml-id: C26.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q12172 / rank
 
Normal rank
Property / Symbols used: Q12172 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12172 / qualifier
 
xml-id: C26.S1.XMD6.m1dec

Latest revision as of 00:07, 2 January 2020

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DLMF:26.3.E1
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    Statements

    ( m n ) = ( m m - n ) = m ! ( m - n ) ! n ! , binomial 𝑚 𝑛 binomial 𝑚 𝑚 𝑛 𝑚 𝑚 𝑛 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{m}{n}=\genfrac{(}{)}{0.0pt% }{}{m}{m-n}=\frac{m!}{(m-n)!\,n!},}}
    0 references
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    m n 𝑚 𝑛 {\displaystyle{\displaystyle m\geq n}}
    0 references
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    C1.S2.SS1.m1adec
    0 references
    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C26.S1.XMD5.m1dec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C26.S1.XMD6.m1dec
    0 references