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Display information for equation id:math.7.7 on revision:7
* Page found: Hauptseite (eq math.7.7)
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Hash: 72d848c2e1ea895c8aa8686fef3cc61a
TeX (original user input):
\operatorname{rot}\,\mathbf F =\operatorname{det}\,
\begin{pmatrix}
\mathbf e_x & \frac{\partial}{\partial x} & F_x\\
\mathbf e_y & \frac{\partial}{\partial y} & F_y\\
\mathbf e_z & \frac{\partial}{\partial z} & F_z
\end{pmatrix}\,.
TeX (checked):
\operatorname {rot} \,\mathbf {F} =\operatorname {det} \,{\begin{pmatrix}\mathbf {e} _{x}&{\frac {\partial }{\partial x}}&F_{x}\\\mathbf {e} _{y}&{\frac {\partial }{\partial y}}&F_{y}\\\mathbf {e} _{z}&{\frac {\partial }{\partial z}}&F_{z}\end{pmatrix}}\,.
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (2.003 KB / 410 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi data-mjx-texclass="OP" mathvariant="normal">rot</mi><mo>⁡</mo><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="bold">F</mi></mrow><mo>=</mo><mi data-mjx-texclass="OP" mathvariant="normal">det</mi><mo>⁡</mo><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="bold">e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi></mrow></mrow></mfrac></mrow></mtd><mtd><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub></mtd></mtr><mtr><mtd><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="bold">e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>y</mi></mrow></mrow></mfrac></mrow></mtd><mtd><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub></mtd></mtr><mtr><mtd><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="bold">e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>z</mi></mrow></mrow></mfrac></mrow></mtd><mtd><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.167em"></mspace><mo>.</mo></mstyle></mrow></math>
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