DLMF:1.3.E9 (Q69)

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DLMF:1.3.E9
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    Statements

    Defining formula
    det ⁡ [ a j ⁢ k ] 2 ≤ ( ∑ k = 1 n a 1 ⁢ k 2 ) ⁢ ( ∑ k = 1 n a 2 ⁢ k 2 ) ⁢ … ⁢ ( ∑ k = 1 n a n ⁢ k 2 ) . superscript delimited-[] subscript 𝑎 𝑗 𝑘 2 subscript superscript 𝑛 𝑘 1 subscript superscript 𝑎 2 1 𝑘 subscript superscript 𝑛 𝑘 1 subscript superscript 𝑎 2 2 𝑘 … subscript superscript 𝑛 𝑘 1 subscript superscript 𝑎 2 𝑛 𝑘 {\displaystyle{\displaystyle\det[a_{jk}]^{2}\leq\left(\sum^{n}_{k=1}a^{2}_{1k}% \right)\left(\sum^{n}_{k=1}a^{2}_{2k}\right)\dots\left(\sum^{n}_{k=1}a^{2}_{nk% }\right).}}
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    DLMF id
    DLMF:1.3.E9
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10765
    Defining formula
    det {\displaystyle{\displaystyle\det}}
    xml-id
    C1.S3.SS1.m1agdec
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    Q10763
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C1.S1.XMD3.m1gdec
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    Q10756
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1gdec
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