DLMF:1.15.E38 (Q580): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q10899 / rank
 
Normal rank
Property / Symbols used: Q10899 / qualifier
 
Defining formula:

h ⁢ ( x , y ) ℎ 𝑥 𝑦 {\displaystyle{\displaystyle h(x,y)}}

h(x,y)
Property / Symbols used: Q10899 / qualifier
 
xml-id: C1.S15.XMD8.m1bdec

Latest revision as of 16:32, 1 January 2020

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DLMF:1.15.E38
No description defined

    Statements

    Defining formula
    lim y → 0 + ⁡ ∫ - ∞ ∞ | h ⁢ ( x , y ) - f ⁢ ( x ) | ⁢ d x = 0 . subscript → 𝑦 limit-from 0 subscript superscript ℎ 𝑥 𝑦 𝑓 𝑥 𝑥 0 {\displaystyle{\displaystyle\lim_{y\to 0+}\int^{\infty}_{-\infty}|h(x,y)-f(x)|% \mathrm{d}x=0.}}
    0 references
    DLMF id
    DLMF:1.15.E38
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1amdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3amdec
    0 references
    Q10899
    Defining formula
    h ⁢ ( x , y ) ℎ 𝑥 𝑦 {\displaystyle{\displaystyle h(x,y)}}
    xml-id
    C1.S15.XMD8.m1bdec
    0 references
     
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