DLMF:7.19.E9 (Q2476): Difference between revisions

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

𝖵 ( x , t ) Voigt-V 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{V}\left(\NVar{x},\NVar{t}\right)}}

\VoigtV@{\NVar{x}}{\NVar{t}}
Property / Symbols used: Voigt function / qualifier
 
xml-id: C7.S19.E2.m2agdec
Property / Symbols used
 
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
 
Defining formula:

f x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

\pderiv{\NVar{f}}{\NVar{x}}
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S5.E3.m4aadec
Property / Symbols used
 
Property / Symbols used: partial differential of $$x$$ / rank
 
Normal rank
Property / Symbols used: partial differential of $$x$$ / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}

\pdiff{\NVar{x}}
Property / Symbols used: partial differential of $$x$$ / qualifier
 
xml-id: C1.S5.E3.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11313 / rank
 
Normal rank
Property / Symbols used: Q11313 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11313 / qualifier
 
xml-id: C7.S1.XMD1.m1idec

Latest revision as of 13:34, 2 January 2020

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DLMF:7.19.E9
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    Statements

    𝖴 ( x , t ) = 1 - x 𝖵 ( x , t ) - 2 t 𝖵 ( x , t ) x . Voigt-U 𝑥 𝑡 1 𝑥 Voigt-V 𝑥 𝑡 2 𝑡 partial-derivative Voigt-V 𝑥 𝑡 𝑥 {\displaystyle{\displaystyle\mathsf{U}\left(x,t\right)=1-x\mathsf{V}\left(x,t% \right)-2t\frac{\partial\mathsf{V}\left(x,t\right)}{\partial x}.}}
    0 references
    DLMF:7.19.E9
    0 references
    𝖴 ( x , t ) Voigt-U 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{U}\left(\NVar{x},\NVar{t}\right)}}
    C7.S19.E1.m2ahdec
    0 references
    𝖵 ( x , t ) Voigt-V 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{V}\left(\NVar{x},\NVar{t}\right)}}
    C7.S19.E2.m2agdec
    0 references
    f x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    C1.S5.E3.m4aadec
    0 references
    x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    C1.S5.E3.m2aadec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C7.S1.XMD1.m1idec
    0 references