DLMF:1.6.E22 (Q203)
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Language | Label | Description | Also known as |
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English | DLMF:1.6.E22 |
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Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \curl\mathbf{F}=\nabla\times\mathbf{F}=\begin{vmatrix}\mathbf{i}&\mathbf{j}&\mathbf{k}\\ \displaystyle{\pderiv{}{x}}&\displaystyle{\pderiv{}{y}}&\displaystyle{\pderiv{}{z}}\\ F_{1}&F_{2}&F_{3}\end{vmatrix}\\ =\left(\pderiv{F_{3}}{y}-\pderiv{F_{2}}{z}\right)\mathbf{i}+\left(\pderiv{F_{1}}{z}-\pderiv{F_{3}}{x}\right)\mathbf{j}+\left(\pderiv{F_{2}}{x}-\pderiv{F_{1}}{y}\right)\mathbf{k}.}
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DLMF:1.6.E22
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