DLMF:24.14.E12 (Q7557): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12127 / rank
 
Normal rank
Property / Symbols used: Q12127 / qualifier
 
Defining formula:

r 𝑟 {\displaystyle{\displaystyle r}}

r
Property / Symbols used: Q12127 / qualifier
 
xml-id: C24.S14.XMD1.m1adec

Revision as of 01:47, 2 January 2020

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DLMF:24.14.E12
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    Statements

    det [ E r + s ] = ( - 1 ) n ( n + 1 ) / 2 ( k = 1 n k ! ) 2 . delimited-[] Euler-number-E 𝑟 𝑠 superscript 1 𝑛 𝑛 1 2 superscript superscript subscript product 𝑘 1 𝑛 𝑘 2 {\displaystyle{\displaystyle\det[E_{r+s}]=(-1)^{n(n+1)/2}\left(\prod_{k=1}^{n}% k!\right)^{2}.}}
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    DLMF:24.14.E12
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    E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}}
    C24.S2.SS2.m1acdec
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    det {\displaystyle{\displaystyle\det}}
    C1.S3.SS1.m1aadec
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5aedec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C24.S1.XMD2.m1kdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C24.S1.XMD5.m1kdec
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    r 𝑟 {\displaystyle{\displaystyle r}}
    C24.S14.XMD1.m1adec
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