DLMF:1.6.E47 (Q228)

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DLMF:1.6.E47
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    Statements

    Defining formula
    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
    Defining formula
    ( 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 $$x$$
    Defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4afdec
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    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2afdec
    0 references
    Q10791
    Defining formula
    𝐢 𝐢 {\displaystyle{\displaystyle\mathbf{i}}}
    xml-id
    C1.S6.XMD2.m1jdec
    0 references
    Q10792
    Defining formula
    𝐣 𝐣 {\displaystyle{\displaystyle\mathbf{j}}}
    xml-id
    C1.S6.XMD3.m1jdec
    0 references
    Q10793
    Defining formula
    𝐤 𝐤 {\displaystyle{\displaystyle\mathbf{k}}}
    xml-id
    C1.S6.XMD4.m1idec
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