Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.1322.27 on revision:1322
* Page found: Das Hamiltonsche Prinzip (eq math.1322.27)
(force rerendering)Occurrences on the following pages:
Hash: 61ea7a1be4efcf4e86019f096e1c4eed
TeX (original user input):
\begin{align}
& {{x}_{1}},...,{{x}_{N}}->x(t) \\
& \delta {{x}_{1}},...,\delta {{x}_{N}}->\delta x(t) \\
& \delta f=\sum\limits_{i=1}^{N}{\frac{\partial f}{\partial {{x}_{i}}}\delta {{x}_{i}}->}\delta f=\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt\frac{\delta f}{\delta x(t)}\delta x(t)} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{x}_{1}},...,{{x}_{N}}->x(t)\\&\delta {{x}_{1}},...,\delta {{x}_{N}}->\delta x(t)\\&\delta f=\sum \limits _{i=1}^{N}{{\frac {\partial f}{\partial {{x}_{i}}}}\delta {{x}_{i}}->}\delta f=\int \limits _{{t}_{1}}^{{t}_{2}}{dt{\frac {\delta f}{\delta x(t)}}\delta x(t)}\\\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 (2.612 KB / 471 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><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo>−</mo><mo>></mo><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo>−</mo><mo>></mo><mi>δ</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mi>δ</mi><mi>f</mi><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>f</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>−</mo><mo>></mo></mrow><mi>δ</mi><mi>f</mi><mo>=</mo><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>δ</mi><mi>f</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>δ</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mi>δ</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</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 Hamiltonsche Prinzip page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results