Jump to navigation Jump to search

General

Display information for equation id:math.2008.6 on revision:2008

* Page found: Kinetische Energie und Trägheitstensor (eq math.2008.6)

(force rerendering)

Occurrences on the following pages:

Hash: e46655faea5bfdf5ce2223743b332123

TeX (original user input): 

\int_{{}}^{{}}{{{d}^{3}}x\bar{x}\rho (\bar{x})}=0

TeX (checked): 

\int _{}^{}{{{d}^{3}}x{\bar {x}}\rho ({\bar {x}})}=0

LaTeXML (experimental; uses MathML) rendering

MathML (3.83 KB / 827 B) :

∫ d 3 ⁢ x ⁢ x ¯ ⁢ ρ ⁢ ( x ¯ ) = 0 superscript 𝑑 3 𝑥 ¯ 𝑥 𝜌 ¯ 𝑥 0 {\displaystyle{\displaystyle\int{{{d}^{3}}x\bar{x}\rho(\bar{x})}=0}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\int{{{d}^{3}}x\bar{x}\rho(\bar{x})}=0}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">
      <mstyle displaystyle="true" id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">
        <mrow id="p1.1.m1.1.12.1a" xref="p1.1.m1.1.12.1.cmml">
          <mo largeop="true" symmetric="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">∫</mo>
          <mrow id="p1.1.m1.1.12.1.1" xref="p1.1.m1.1.12.1.1.cmml">
            <msup id="p1.1.m1.1.12.1.1.2" xref="p1.1.m1.1.12.1.1.2.cmml">
              <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">d</mi>
              <mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">3</mn>
            </msup>
            <mo id="p1.1.m1.1.12.1.1.1" xref="p1.1.m1.1.12.1.1.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">x</mi>
            <mo id="p1.1.m1.1.12.1.1.1a" xref="p1.1.m1.1.12.1.1.1.cmml">⁢</mo>
            <mover accent="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
              <mi id="p1.1.m1.1.5.2" xref="p1.1.m1.1.5.2.cmml">x</mi>
              <mo stretchy="false" id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">¯</mo>
            </mover>
            <mo id="p1.1.m1.1.12.1.1.1b" xref="p1.1.m1.1.12.1.1.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">ρ</mi>
            <mo id="p1.1.m1.1.12.1.1.1c" xref="p1.1.m1.1.12.1.1.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.12.1.1.3" xref="p1.1.m1.1.8.cmml">
              <mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.8.cmml">(</mo>
              <mover accent="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
                <mi id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">x</mi>
                <mo stretchy="false" id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">¯</mo>
              </mover>
              <mo stretchy="false" id="p1.1.m1.1.9" xref="p1.1.m1.1.8.cmml">)</mo>
            </mrow>
          </mrow>
        </mrow>
      </mstyle>
      <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">=</mo>
      <mn id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">0</mn>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">
        <eq id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
        <apply id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">
          <int id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
          <apply id="p1.1.m1.1.12.1.1.cmml" xref="p1.1.m1.1.12.1.1">
            <times id="p1.1.m1.1.12.1.1.1.cmml" xref="p1.1.m1.1.12.1.1.1"/>
            <apply id="p1.1.m1.1.12.1.1.2.cmml" xref="p1.1.m1.1.12.1.1.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.12.1.1.2.1.cmml" xref="p1.1.m1.1.12.1.1.2">superscript</csymbol>
              <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑑</ci>
              <cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">3</cn>
            </apply>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑥</ci>
            <apply id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">
              <ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">¯</ci>
              <ci id="p1.1.m1.1.5.2.cmml" xref="p1.1.m1.1.5.2">𝑥</ci>
            </apply>
            <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝜌</ci>
            <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.12.1.1.3">
              <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">¯</ci>
              <ci id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">𝑥</ci>
            </apply>
          </apply>
        </apply>
        <cn type="integer" id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">0</cn>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\int{{{d}^{3}}x\bar{x}\rho(\bar{x})}=0}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


SVG (MathML can be enabled via browser plugin) rendering

MathML (1.607 KB / 454 B) :

∫ d 3 x x ¯ ρ ( x ¯ ) = 0 {\displaystyle \int _{}^{}{{{d}^{3}}x{\bar {x}}\rho ({\bar {x}})}=0} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \int _{}^{}{{{d}^{3}}x{\bar {x}}\rho ({\bar {x}})}=0}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <msubsup>
          <mo>&#x222B;<!-- ∫ --></mo>
          <mrow class="MJX-TeXAtom-ORD">

          </mrow>
          <mrow class="MJX-TeXAtom-ORD">

          </mrow>
        </msubsup>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <msup>
              <mrow class="MJX-TeXAtom-ORD">
                <mi>d</mi>
              </mrow>
              <mrow class="MJX-TeXAtom-ORD">
                <mn>3</mn>
              </mrow>
            </msup>
          </mrow>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mrow class="MJX-TeXAtom-ORD">
              <mover>
                <mi>x</mi>
                <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
              </mover>
            </mrow>
          </mrow>
          <mi>&#x03C1;<!-- ρ --></mi>
          <mo stretchy="false">(</mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mrow class="MJX-TeXAtom-ORD">
              <mover>
                <mi>x</mi>
                <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
              </mover>
            </mrow>
          </mrow>
          <mo stretchy="false">)</mo>
        </mrow>
        <mo>=</mo>
        <mn>0</mn>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \int _{}^{}{{{d}^{3}}x{\bar {x}}\rho ({\bar {x}})}=0}</annotation>
  </semantics>
</math>

SVG (5.643 KB / 2.513 KB) :

{\displaystyle \int _{}^{}{{{d}^{3}}x{\bar {x}}\rho ({\bar {x}})}=0}

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 Kinetische Energie und Trägheitstensor page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "http://physikerwelt.de:8080/w/index.php?title=Special:FormulaInfo"