DLMF:1.6.E47 (Q228): Difference between revisions

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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
 
test:

∂ ⁡ 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.m4afdec
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.m2afdec
Property / Symbols used
 
Property / Symbols used: Q10791 / rank
 
Normal rank
Property / Symbols used: Q10791 / qualifier
 
test:

𝐢 𝐢 {\displaystyle{\displaystyle\mathbf{i}}}

\mathbf{i}
Property / Symbols used: Q10791 / qualifier
 
xml-id: C1.S6.XMD2.m1jdec
Property / Symbols used
 
Property / Symbols used: Q10792 / rank
 
Normal rank
Property / Symbols used: Q10792 / qualifier
 
test:

𝐣 𝐣 {\displaystyle{\displaystyle\mathbf{j}}}

\mathbf{j}
Property / Symbols used: Q10792 / qualifier
 
xml-id: C1.S6.XMD3.m1jdec
Property / Symbols used
 
Property / Symbols used: Q10793 / rank
 
Normal rank
Property / Symbols used: Q10793 / qualifier
 
test:

𝐤 𝐤 {\displaystyle{\displaystyle\mathbf{k}}}

\mathbf{k}
Property / Symbols used: Q10793 / qualifier
 
xml-id: C1.S6.XMD4.m1idec

Latest revision as of 16:00, 1 January 2020

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DLMF:1.6.E47
No description defined

    Statements

    test
    𝐓 v = ∂ ⁡ x ∂ ⁡ v ⁢ ( u 0 , v 0 ) ⁢ 𝐢 + ∂ ⁡ y ∂ ⁡ v ⁢ ( u 0 , v 0 ) ⁢ 𝐣 + ∂ ⁡ z ∂ ⁡ v ⁢ ( u 0 , v 0 ) ⁢ 𝐤 subscript 𝐓 𝑣 partial-derivative 𝑥 𝑣 subscript 𝑢 0 subscript 𝑣 0 𝐢 partial-derivative 𝑦 𝑣 subscript 𝑢 0 subscript 𝑣 0 𝐣 partial-derivative 𝑧 𝑣 subscript 𝑢 0 subscript 𝑣 0 𝐤 {\displaystyle{\displaystyle\mathbf{T}_{v}=\frac{\partial x}{\partial v}(u_{0}% ,v_{0})\mathbf{i}+\frac{\partial y}{\partial v}(u_{0},v_{0})\mathbf{j}+\frac{% \partial z}{\partial v}(u_{0},v_{0})\mathbf{k}}}
    0 references
    DLMF id
    DLMF:1.6.E47
    0 references
    Symbols used
    Q10777
    test
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6acdec
    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.m4afdec
    0 references
    partial differential of $$x$$
    test
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2afdec
    0 references
    Q10791
    test
    𝐢 𝐢 {\displaystyle{\displaystyle\mathbf{i}}}
    xml-id
    C1.S6.XMD2.m1jdec
    0 references
    Q10792
    test
    𝐣 𝐣 {\displaystyle{\displaystyle\mathbf{j}}}
    xml-id
    C1.S6.XMD3.m1jdec
    0 references
    Q10793
    test
    𝐤 𝐤 {\displaystyle{\displaystyle\mathbf{k}}}
    xml-id
    C1.S6.XMD4.m1idec
    0 references
     
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