DLMF:1.5.E11 (Q130)

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DLMF:1.5.E11
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    Statements

    Defining formula
    ∂ ∂ ⁡ x = cos ⁡ ϕ ⁢ ∂ ∂ ⁡ r - sin ⁡ ϕ r ⁢ ∂ ∂ ⁡ ϕ , partial-derivative 𝑥 italic-ϕ partial-derivative 𝑟 italic-ϕ 𝑟 partial-derivative italic-ϕ {\displaystyle{\displaystyle\frac{\partial}{\partial x}=\cos\phi\frac{\partial% }{\partial r}-\frac{\sin\phi}{r}\frac{\partial}{\partial\phi},}}
    0 references
    DLMF id
    DLMF:1.5.E11
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    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
     
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