DLMF:2.4.E20 (Q775): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: partial differential of $$x$$ / rank
 
Normal rank
Property / Symbols used: partial differential of $$x$$ / qualifier
 
test:

∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}

\pdiff{\NVar{x}}
Property / Symbols used: partial differential of $$x$$ / qualifier
 
xml-id: C1.S5.E3.m2adec
Property / Symbols used
 
Property / Symbols used: Q10981 / rank
 
Normal rank
Property / Symbols used: Q10981 / qualifier
 
test:

p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}

p(t)
Property / Symbols used: Q10981 / qualifier
 
xml-id: C2.S4.XMD15.m1hdec
Property / Symbols used
 
Property / Symbols used: Q10973 / rank
 
Normal rank
Property / Symbols used: Q10973 / qualifier
 
test:

q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}

q(t)
Property / Symbols used: Q10973 / qualifier
 
xml-id: C2.S4.XMD16.m1mdec
Property / Symbols used
 
Property / Symbols used: Q10987 / rank
 
Normal rank
Property / Symbols used: Q10987 / qualifier
 
test:

w 𝑤 {\displaystyle{\displaystyle w}}

w
Property / Symbols used: Q10987 / qualifier
 
xml-id: C2.S4.XMD21.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10988 / rank
 
Normal rank
Property / Symbols used: Q10988 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q10988 / qualifier
 
xml-id: C2.S4.XMD22.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10989 / rank
 
Normal rank
Property / Symbols used: Q10989 / qualifier
 
test:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q10989 / qualifier
 
xml-id: C2.S4.XMD23.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10991 / rank
 
Normal rank
Property / Symbols used: Q10991 / qualifier
 
test:

f ⁢ ( α , w ) 𝑓 𝛼 𝑤 {\displaystyle{\displaystyle f(\alpha,w)}}

f(\alpha,w)
Property / Symbols used: Q10991 / qualifier
 
xml-id: C2.S4.XMD26.m1adec

Latest revision as of 16:00, 1 January 2020

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DLMF:2.4.E20
No description defined

    Statements

    test
    f ⁢ ( α , w ) = q ⁢ ( α , t ) ⁢ d t d w = q ⁢ ( α , t ) ⁢ w 2 + 2 ⁢ a ⁢ w + b ∂ ⁡ p ⁢ ( α , t ) / ∂ ⁡ t . 𝑓 𝛼 𝑤 𝑞 𝛼 𝑡 derivative 𝑡 𝑤 𝑞 𝛼 𝑡 superscript 𝑤 2 2 𝑎 𝑤 𝑏 partial-derivative 𝑝 𝛼 𝑡 𝑡 {\displaystyle{\displaystyle f(\alpha,w)=q(\alpha,t)\frac{\mathrm{d}t}{\mathrm% {d}w}=q(\alpha,t)\frac{w^{2}+2aw+b}{\ifrac{\partial p(\alpha,t)}{\partial t}}.}}
    0 references
    DLMF id
    DLMF:2.4.E20
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    test
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    test
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4adec
    0 references
    partial differential of $$x$$
    test
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2adec
    0 references
    Q10981
    test
    p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}
    xml-id
    C2.S4.XMD15.m1hdec
    0 references
    Q10973
    test
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S4.XMD16.m1mdec
    0 references
    Q10987
    test
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C2.S4.XMD21.m1bdec
    0 references
    Q10988
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C2.S4.XMD22.m1bdec
    0 references
    Q10989
    test
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C2.S4.XMD23.m1bdec
    0 references
    Q10991
    test
    f ⁢ ( α , w ) 𝑓 𝛼 𝑤 {\displaystyle{\displaystyle f(\alpha,w)}}
    xml-id
    C2.S4.XMD26.m1adec
    0 references
     
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