DLMF:1.4.E25 (Q104): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aidec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aidec
Property / Symbols used
 
Property / Symbols used: Cauchy principal value / rank
 
Normal rank
Property / Symbols used: Cauchy principal value / qualifier
 
test:

a b superscript subscript principal-value-integral 𝑎 𝑏 {\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}

\pvint_{\NVar{a}}^{\NVar{b}}
Property / Symbols used: Cauchy principal value / qualifier
 
xml-id: C1.S4.E24.m2aadec

Latest revision as of 14:51, 1 January 2020

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DLMF:1.4.E25
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    Statements

    - f ( x ) d x = P - f ( x ) d x = lim b - b b f ( x ) d x , subscript superscript principal-value-integral 𝑓 𝑥 𝑥 𝑃 subscript superscript 𝑓 𝑥 𝑥 subscript 𝑏 subscript superscript 𝑏 𝑏 𝑓 𝑥 𝑥 {\displaystyle{\displaystyle\pvint^{\infty}_{-\infty}f(x)\mathrm{d}x=P\int^{% \infty}_{-\infty}f(x)\mathrm{d}x=\lim_{b\to\infty}\int^{b}_{-b}f(x)\mathrm{d}x% ,}}
    0 references
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aidec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aidec
    0 references
    a b superscript subscript principal-value-integral 𝑎 𝑏 {\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}
    C1.S4.E24.m2aadec
    0 references