Jump to navigation Jump to search

General

Display information for equation id:math.2016.71 on revision:2016

* Page found: Kinetische Energie und Trägheitstensor (eq math.2016.71)

(force rerendering)

Occurrences on the following pages:

Hash: 2ca9769627bd195082c0298286a7afe9

TeX (original user input): 

{{J}_{i}}\acute{\ }={{J}_{i}}+M({{a}^{2}}-{{a}_{i}}^{2})\quad i=1,..,3

TeX (checked): 

{{J}_{i}}{\acute {\ }}={{J}_{i}}+M({{a}^{2}}-{{a}_{i}}^{2})\quad i=1,..,3

LaTeXML (experimental; uses MathML) rendering

MathML (5.769 KB / 1.179 KB) :

J i ´ = J i + M ( a 2 - a i 2 )   i = 1 , . . , 3 fragments subscript 𝐽 𝑖 ´ absent subscript 𝐽 𝑖 M fragments ( superscript 𝑎 2 superscript subscript 𝑎 𝑖 2 ) italic-  i 1 , . . , 3 {\displaystyle{\displaystyle{{J}_{i}}\acute{\ }={{J}_{i}}+M({{a}^{2}}-{{a}_{i}% }^{2})\quad i=1,..,3}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{J}_{i}}\acute{\ }={{J}_{i}}+M({{a}^{2}}-{{a}_{i}%&#10;}^{2})\quad i=1,..,3}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <msub id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">J</mi>
        <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">i</mi>
      </msub>
      <mover accent="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
        <mi id="p1.1.m1.1.3.2" xref="p1.1.m1.1.3.2.cmml"/>
        <mo id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">´</mo>
      </mover>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
      <msub id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">
        <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">J</mi>
        <mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">i</mi>
      </msub>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">+</mo>
      <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">M</mi>
      <mrow id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
        <mo stretchy="false" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">(</mo>
        <msup id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">
          <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">a</mi>
          <mn id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">2</mn>
        </msup>
        <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">-</mo>
        <mmultiscripts id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">
          <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">a</mi>
          <mi id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">i</mi>
          <none id="p1.1.m1.1.31a" xref="p1.1.m1.1.31.cmml"/>
          <none id="p1.1.m1.1.31b" xref="p1.1.m1.1.31.cmml"/>
          <mn id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">2</mn>
        </mmultiscripts>
        <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">)</mo>
      </mrow>
      <mo mathvariant="italic" separator="true" id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml"> </mo>
      <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">i</mi>
      <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">=</mo>
      <mn id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">1</mn>
      <mo id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">,</mo>
      <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">.</mo>
      <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">.</mo>
      <mo id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">,</mo>
      <mn id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">3</mn>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <apply id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">
          <csymbol cd="ambiguous" id="p1.1.m1.1.28.1.cmml" xref="p1.1.m1.1.28">subscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝐽</ci>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">𝑖</ci>
        </apply>
        <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
          <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">´</ci>
          <csymbol cd="latexml" id="p1.1.m1.1.3.2.cmml" xref="p1.1.m1.1.3.2">absent</csymbol>
        </apply>
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">
          <csymbol cd="ambiguous" id="p1.1.m1.1.29.1.cmml" xref="p1.1.m1.1.29">subscript</csymbol>
          <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝐽</ci>
          <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝑖</ci>
        </apply>
        <plus id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
        <csymbol cd="unknown" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">M</csymbol>
        <cerror id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.2a.cmml" xref="p1.1.m1.1.2">fragments</csymbol>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">(</ci>
          <apply id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">
            <csymbol cd="ambiguous" id="p1.1.m1.1.30.1.cmml" xref="p1.1.m1.1.30">superscript</csymbol>
            <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑎</ci>
            <cn type="integer" id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">2</cn>
          </apply>
          <minus id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
          <apply id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">
            <csymbol cd="ambiguous" id="p1.1.m1.1.31.1.cmml" xref="p1.1.m1.1.31">superscript</csymbol>
            <apply id="p1.1.m1.1.31.2.cmml" xref="p1.1.m1.1.31">
              <csymbol cd="ambiguous" id="p1.1.m1.1.31.2.1.cmml" xref="p1.1.m1.1.31">subscript</csymbol>
              <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑎</ci>
              <ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">𝑖</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">2</cn>
          </apply>
          <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">)</ci>
        </cerror>
        <ci id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">italic- </ci>
        <csymbol cd="unknown" id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">i</csymbol>
        <eq id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19"/>
        <cn type="integer" id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">1</cn>
        <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">,</ci>
        <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">.</ci>
        <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">.</ci>
        <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">,</ci>
        <cn type="integer" id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">3</cn>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle{{J}_{i}}\acute{\ }={{J}_{i}}+M({{a}^{2}}-{{a}_{i}%
}^{2})\quad i=1,..,3}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (873 B / 319 B) :

Ji´=Ji+M(a2−ai2)i=1,..,3
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>=</mo><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>+</mo><mi>M</mi><mo stretchy="false">(</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msup><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo><mspace width="1em"></mspace><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>.</mo><mo>.</mo><mo>,</mo><mn>3</mn></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 Kinetische Energie und Trägheitstensor page

Identifiers

  • Ji
  • ´
  • Ji
  • M
  • a
  • ai
  • i

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"