DLMF:21.9.E4 (Q6920)

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Language	Label	Description	Also known as
English	DLMF:21.9.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle u(x,y,t)=c+2\frac{{\partial}^{2}}{{\partial x}^{2% }}\ln\left(\theta\left(\mathbf{k}x+\mathbf{l}y+\boldsymbol{{\omega}}t+% \boldsymbol{{\phi}}\middle|\boldsymbol{{\Omega}}\right)\right),}}

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DLMF:21.9.E4

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Riemann theta function

Defining formula

{\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}

C21.S2.E1.m2adec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2adec

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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.m4adec

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partial differential of $$x$$

Defining formula

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

C1.S5.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}

C21.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle u(x,y,t)}}

C21.S9.XMD1.m1cdec

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Defining formula

{\displaystyle{\displaystyle c}}

C21.S9.XMD2.m1dec

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Sitelinks

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