DLMF:1.6.E46 (Q227)

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DLMF:1.6.E46
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    Statements

    Defining formula
    𝐓 u = ∂ ⁡ x ∂ ⁡ u ⁢ ( u 0 , v 0 ) ⁢ 𝐢 + ∂ ⁡ y ∂ ⁡ u ⁢ ( u 0 , v 0 ) ⁢ 𝐣 + ∂ ⁡ z ∂ ⁡ u ⁢ ( u 0 , v 0 ) ⁢ 𝐤 subscript 𝐓 𝑢 partial-derivative 𝑥 𝑢 subscript 𝑢 0 subscript 𝑣 0 𝐢 partial-derivative 𝑦 𝑢 subscript 𝑢 0 subscript 𝑣 0 𝐣 partial-derivative 𝑧 𝑢 subscript 𝑢 0 subscript 𝑣 0 𝐤 {\displaystyle{\displaystyle\mathbf{T}_{u}=\frac{\partial x}{\partial u}(u_{0}% ,v_{0})\mathbf{i}+\frac{\partial y}{\partial u}(u_{0},v_{0})\mathbf{j}+\frac{% \partial z}{\partial u}(u_{0},v_{0})\mathbf{k}}}
    0 references
    DLMF id
    DLMF:1.6.E46
    0 references
    Symbols used
    Q10777
    Defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6abdec
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    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.m4aedec
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    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2aedec
    0 references
    Q10791
    Defining formula
    𝐢 𝐢 {\displaystyle{\displaystyle\mathbf{i}}}
    xml-id
    C1.S6.XMD2.m1idec
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    Q10792
    Defining formula
    𝐣 𝐣 {\displaystyle{\displaystyle\mathbf{j}}}
    xml-id
    C1.S6.XMD3.m1idec
    0 references
    Q10793
    Defining formula
    𝐤 𝐤 {\displaystyle{\displaystyle\mathbf{k}}}
    xml-id
    C1.S6.XMD4.m1hdec
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