Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1345.44 on revision:1345

* Page found: Mechanik des starren Körpers (eq math.1345.44)

(force rerendering)

Occurrences on the following pages:

Hash: 585d2b8efee4ce057b7652c4010740c7

TeX (original user input):

\bar{\bar{J}}=\int_{{}}^{{}}{{{d}^{3}}x\rho (\bar{x})\left( \begin{matrix}
   {{x}_{2}}^{2}+{{x}_{3}}^{2} & -{{x}_{1}}{{x}_{2}} & -{{x}_{1}}{{x}_{3}}  \\
   -{{x}_{1}}{{x}_{2}} & {{x}_{3}}^{2}+{{x}_{1}}^{2} & -{{x}_{2}}{{x}_{3}}  \\
   -{{x}_{1}}{{x}_{3}} & -{{x}_{2}}{{x}_{3}} & {{x}_{1}}^{2}+{{x}_{2}}^{2}  \\
\end{matrix} \right)}

TeX (checked):

{\bar {\bar {J}}}=\int _{}^{}{{{d}^{3}}x\rho ({\bar {x}})\left({\begin{matrix}{{x}_{2}}^{2}+{{x}_{3}}^{2}&-{{x}_{1}}{{x}_{2}}&-{{x}_{1}}{{x}_{3}}\\-{{x}_{1}}{{x}_{2}}&{{x}_{3}}^{2}+{{x}_{1}}^{2}&-{{x}_{2}}{{x}_{3}}\\-{{x}_{1}}{{x}_{3}}&-{{x}_{2}}{{x}_{3}}&{{x}_{1}}^{2}+{{x}_{2}}^{2}\\\end{matrix}}\right)}

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 (2.909 KB / 455 B) :

J¯¯=d3xρ(x¯)(x22+x32x1x2x1x3x1x2x32+x12x2x3x1x3x2x3x12+x22)
<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"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>J</mi><mo>¯</mo></mover></mrow></mrow><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>x</mi><mi>&#x03C1;</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd><mtd><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd><mtd><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd><mtd><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd><mtd><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></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 Mechanik des starren Körpers page

Identifiers

  • J¯¯
  • x
  • ρ
  • x¯
  • x2
  • x3
  • x1
  • x2
  • x1
  • x3
  • x1
  • x2
  • x3
  • x1
  • x2
  • x3
  • x1
  • x3
  • x2
  • x3
  • x1
  • x2

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results