Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.1254.47 on revision:1254
* Page found: Das d'Alembertsche Prinzip (eq math.1254.47)
(force rerendering)Occurrences on the following pages:
Hash: d2f2bc0df21b2d98e61a5e77f134d9da
TeX (original user input):
\begin{align}
& \vec{Z}=mg\cos \vartheta \cdot \left( \begin{matrix}
\sin \vartheta \\
\cos \vartheta \\
\end{matrix} \right) \\
& \vec{F}=-mg\cdot \left( \begin{matrix}
0 \\
1 \\
\end{matrix} \right) \\
& \vec{Z}+\vec{F}=mg\sin \vartheta \cdot \left( \begin{matrix}
\cos \vartheta \\
-\sin \vartheta \\
\end{matrix} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&{\vec {Z}}=mg\cos \vartheta \cdot \left({\begin{matrix}\sin \vartheta \\\cos \vartheta \\\end{matrix}}\right)\\&{\vec {F}}=-mg\cdot \left({\begin{matrix}0\\1\\\end{matrix}}\right)\\&{\vec {Z}}+{\vec {F}}=mg\sin \vartheta \cdot \left({\begin{matrix}\cos \vartheta \\-\sin \vartheta \\\end{matrix}}\right)\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (2.196 KB / 426 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>Z</mi><mo>→</mo></mover></mrow></mrow><mo>=</mo><mi>m</mi><mi>g</mi><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi><mo>⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr><mtr><mtd><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>→</mo></mover></mrow></mrow><mo>=</mo><mo>−</mo><mi>m</mi><mi>g</mi><mo>⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>Z</mi><mo>→</mo></mover></mrow></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>→</mo></mover></mrow></mrow><mo>=</mo><mi>m</mi><mi>g</mi><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi><mo>⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr><mtr><mtd><mo>−</mo><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
Translations to Computer Algebra Systems
Translation to Maple
In Maple:
Translation to Mathematica
In Mathematica:
Similar pages
Calculated based on the variables occurring on the entire Das d'Alembertsche Prinzip page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results