Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.1410.223 on revision:1410
* Page found: Symmetrien und Erhaltungsgrößen (eq math.1410.223)
(force rerendering)Occurrences on the following pages:
Hash: 878a0a667eedd7c5322886695e7718d2
TeX (original user input):
\begin{align}
& \frac{{{b}^{2}}}{a}=\frac{{{l}^{2}}}{mk}\Rightarrow b=\frac{l}{\sqrt{mk}}\sqrt{a} \\
& T=\frac{2m\pi ab}{l}=\frac{2\sqrt{m}\pi {{a}^{\frac{3}{2}}}}{\sqrt{k}} \\
& \frac{{{T}^{2}}}{{{a}^{3}}}=\frac{4{{\pi }^{2}}m}{k} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\frac {{b}^{2}}{a}}={\frac {{l}^{2}}{mk}}\Rightarrow b={\frac {l}{\sqrt {mk}}}{\sqrt {a}}\\&T={\frac {2m\pi ab}{l}}={\frac {2{\sqrt {m}}\pi {{a}^{\frac {3}{2}}}}{\sqrt {k}}}\\&{\frac {{T}^{2}}{{a}^{3}}}={\frac {4{{\pi }^{2}}m}{k}}\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (2.6 KB / 439 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"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>k</mi></mrow></mrow></mfrac></mrow><mo>⇒</mo><mi>b</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>k</mi></mrow></msqrt></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><msqrt><mi>a</mi></msqrt></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>T</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi><mi>π</mi><mi>a</mi><mi>b</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mrow data-mjx-texclass="ORD"><msqrt><mi>m</mi></msqrt></mrow><mi>π</mi><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mi>k</mi></msqrt></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><msup><mi>π</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>m</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac></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 Symmetrien und Erhaltungsgrößen page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results