DLMF:1.17.E15 (Q674): Difference between revisions

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Property / constraint
 

x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}

x>0
Property / constraint: x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10918 / rank
 
Normal rank
Property / Symbols used: Q10918 / qualifier
 
test:

s ( ϵ , ; r ) Coulomb-s italic-ϵ 𝑟 {\displaystyle{\displaystyle s\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}

\regCoulombs@{\NVar{\epsilon}}{\NVar{\ell}}{\NVar{r}}
Property / Symbols used: Q10918 / qualifier
 
xml-id: C33.S14.E9.m1adec
Property / Symbols used
 
Property / Symbols used: Q10915 / rank
 
Normal rank
Property / Symbols used: Q10915 / qualifier
 
test:

δ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}

\Diracdelta@{\NVar{x-a}}
Property / Symbols used: Q10915 / qualifier
 
xml-id: C1.S17.SS1.p1.m2afdec
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.m1akdec
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.m3akdec

Latest revision as of 15:44, 1 January 2020

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DLMF:1.17.E15
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    Statements

    δ ( x - a ) = 0 s ( x , ; r ) s ( a , ; r ) d r , Dirac-delta 𝑥 𝑎 superscript subscript 0 Coulomb-s 𝑥 𝑟 Coulomb-s 𝑎 𝑟 𝑟 {\displaystyle{\displaystyle\delta\left(x-a\right)=\int_{0}^{\infty}s\left(x,% \ell;r\right)s\left(a,\ell;r\right)\mathrm{d}r,}}
    0 references
    0 references
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
    0 references
    s ( ϵ , ; r ) Coulomb-s italic-ϵ 𝑟 {\displaystyle{\displaystyle s\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}
    C33.S14.E9.m1adec
    0 references
    δ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    C1.S17.SS1.p1.m2afdec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1akdec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3akdec
    0 references