DLMF:30.13.E5 (Q8918)

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Language	Label	Description	Also known as
English	DLMF:30.13.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle h_{\phi}^{2}=\left(\frac{\partial x}{\partial\phi% }\right)^{2}+\left(\frac{\partial y}{\partial\phi}\right)^{2}+\left(\frac{% \partial z}{\partial\phi}\right)^{2}=c^{2}(\xi^{2}-1)(1-\eta^{2}).}}

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DLMF:30.13.E5

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partial derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

C1.S5.E3.m4abdec

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partial differential of $$x$$

Defining formula

{\displaystyle{\displaystyle\partial\NVar{x}}}

C1.S5.E3.m2abdec

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Defining formula

{\displaystyle{\displaystyle z}}

C30.S1.XMD1.m1cdec

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Defining formula

{\displaystyle{\displaystyle x}}

C30.S1.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle y}}

C30.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle\xi}}

C30.S13.XMD1.m1ddec

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Defining formula

{\displaystyle{\displaystyle\eta}}

C30.S13.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle\phi}}

C30.S13.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle c}}

C30.S13.XMD4.m1cdec

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Defining formula

{\displaystyle{\displaystyle h_{\xi},h_{\eta},h_{\phi}}}

C30.S13.XMD5.m1bdec

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