DLMF:1.5.E28 (Q122)

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DLMF:1.5.E28
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    Statements

    DLMF defining formula
    f * ⁢ ( x , y ) = { f ⁢ ( x , y ) , if  ( x , y ) ∈ D , 0 , if  ( x , y ) ∈ R ∖ D . superscript 𝑓 𝑥 𝑦 cases 𝑓 𝑥 𝑦 if  ( x , y ) ∈ D 0 if  ( x , y ) ∈ R ∖ D . {\displaystyle{\displaystyle f^{*}(x,y)=\begin{cases}f(x,y),&\mbox{if $(x,y)% \in D$},\\ 0,&\mbox{if $(x,y)\in R\setminus D$.}\end{cases}}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10758
    DLMF defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2adec
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    Q10751
    DLMF defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6addec
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    Q10759
    DLMF defining formula
    ∖ {\displaystyle{\displaystyle\setminus}}
    xml-id
    introduction.Sx4.p2.t1.r19.m2adec
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    closed rectangle
    DLMF defining formula
    R 𝑅 {\displaystyle{\displaystyle R}}
    xml-id
    C1.S5.XMD13.m1adec
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    region contained in R
    DLMF defining formula
    D 𝐷 {\displaystyle{\displaystyle D}}
    xml-id
    C1.S5.XMD14.m1dec
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    Identifiers

     
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