DLMF:1.5.E15 (Q136): Difference between revisions

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Latest revision as of 15:53, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:1.5.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\nabla^{2}f=\frac{{\partial}^{2}f}{{\partial x}^{2% }}+\frac{{\partial}^{2}f}{{\partial y}^{2}}+\frac{{\partial}^{2}f}{{\partial z% }^{2}}=\frac{{\partial}^{2}f}{{\partial r}^{2}}+\frac{1}{r}\frac{\partial f}{% \partial r}+\frac{1}{r^{2}}\frac{{\partial}^{2}f}{{\partial\phi}^{2}}+\frac{{% \partial}^{2}f}{{\partial z}^{2}}.}}

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DLMF:1.5.E15

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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.m4aidec

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partial differential of $$x$$

Defining formula

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

C1.S5.E3.m2ajdec

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Defining formula

{\displaystyle{\displaystyle z}}

C1.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle\phi}}

C1.S5.XMD10.m1edec

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Defining formula

{\displaystyle{\displaystyle r}}

C1.S5.XMD6.m1edec

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