Jump to navigation Jump to search

General

Display information for equation id:math.284231.0 on revision:284231

* Page found: Talk:Double planet (eq math.284231.0)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 62015f89439bf408182fc4e631940b17

TeX (original user input): 

\text{tug-of-war index}=\left(\frac{a_\text{planet}}{a_\text{satellite}}\right)^2\times \frac{m_\text{planet}}{m_\text{star}}

TeX (checked): 

{\text{tug-of-war index}}=\left({\frac {a_{\text{planet}}}{a_{\text{satellite}}}}\right)^{2}\times {\frac {m_{\text{planet}}}{m_{\text{star}}}}

LaTeXML (experimental; uses MathML) rendering

MathML (5.51 KB / 1023 B) :

tug-of-war index = ( a planet a satellite ) 2 × m planet m star tug-of-war index superscript subscript 𝑎 planet subscript 𝑎 satellite 2 subscript 𝑚 planet subscript 𝑚 star {\displaystyle{\displaystyle\text{tug-of-war index}=\left(\frac{a_{\text{% planet}}}{a_{\text{satellite}}}\right)^{2}\times\frac{m_{\text{planet}}}{m_{% \text{star}}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\text{tug-of-war index}=\left(\frac{a_{\text{%&#10;planet}}}{a_{\text{satellite}}}\right)^{2}\times\frac{m_{\text{planet}}}{m_{%&#10;\text{star}}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
      <mtext id="p1.1.m1.1.1" xref="p1.1.m1.1.1a.cmml">tug-of-war index</mtext>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mrow id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">
        <msup id="p1.1.m1.1.9.1.1" xref="p1.1.m1.1.9.1.1.cmml">
          <mrow id="p1.1.m1.1.9.1.1.2" xref="p1.1.m1.1.4.cmml">
            <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.4.cmml">(</mo>
            <mstyle displaystyle="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
              <mfrac id="p1.1.m1.1.4a" xref="p1.1.m1.1.4.cmml">
                <msub id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml">
                  <mi id="p1.1.m1.1.4.2.1" xref="p1.1.m1.1.4.2.1.cmml">a</mi>
                  <mtext id="p1.1.m1.1.4.2.2.1" xref="p1.1.m1.1.4.2.2.1a.cmml">planet</mtext>
                </msub>
                <msub id="p1.1.m1.1.4.3" xref="p1.1.m1.1.4.3.cmml">
                  <mi id="p1.1.m1.1.4.3.1" xref="p1.1.m1.1.4.3.1.cmml">a</mi>
                  <mtext id="p1.1.m1.1.4.3.2.1" xref="p1.1.m1.1.4.3.2.1a.cmml">satellite</mtext>
                </msub>
              </mfrac>
            </mstyle>
            <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.4.cmml">)</mo>
          </mrow>
          <mn id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">2</mn>
        </msup>
        <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">×</mo>
        <mstyle displaystyle="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
          <mfrac id="p1.1.m1.1.8a" xref="p1.1.m1.1.8.cmml">
            <msub id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">
              <mi id="p1.1.m1.1.8.2.1" xref="p1.1.m1.1.8.2.1.cmml">m</mi>
              <mtext id="p1.1.m1.1.8.2.2.1" xref="p1.1.m1.1.8.2.2.1a.cmml">planet</mtext>
            </msub>
            <msub id="p1.1.m1.1.8.3" xref="p1.1.m1.1.8.3.cmml">
              <mi id="p1.1.m1.1.8.3.1" xref="p1.1.m1.1.8.3.1.cmml">m</mi>
              <mtext id="p1.1.m1.1.8.3.2.1" xref="p1.1.m1.1.8.3.2.1a.cmml">star</mtext>
            </msub>
          </mfrac>
        </mstyle>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
        <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <ci id="p1.1.m1.1.1a.cmml" xref="p1.1.m1.1.1">
          <mtext id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">tug-of-war index</mtext>
        </ci>
        <apply id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">
          <times id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
          <apply id="p1.1.m1.1.9.1.1.cmml" xref="p1.1.m1.1.9.1.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.9.1.1.1.cmml" xref="p1.1.m1.1.9.1.1">superscript</csymbol>
            <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.9.1.1.2">
              <divide id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.9.1.1.2"/>
              <apply id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.4.2.3.cmml" xref="p1.1.m1.1.4.2">subscript</csymbol>
                <ci id="p1.1.m1.1.4.2.1.cmml" xref="p1.1.m1.1.4.2.1">𝑎</ci>
                <ci id="p1.1.m1.1.4.2.2.1a.cmml" xref="p1.1.m1.1.4.2.2.1">
                  <mtext mathsize="70%" id="p1.1.m1.1.4.2.2.1.cmml" xref="p1.1.m1.1.4.2.2.1">planet</mtext>
                </ci>
              </apply>
              <apply id="p1.1.m1.1.4.3.cmml" xref="p1.1.m1.1.4.3">
                <csymbol cd="ambiguous" id="p1.1.m1.1.4.3.3.cmml" xref="p1.1.m1.1.4.3">subscript</csymbol>
                <ci id="p1.1.m1.1.4.3.1.cmml" xref="p1.1.m1.1.4.3.1">𝑎</ci>
                <ci id="p1.1.m1.1.4.3.2.1a.cmml" xref="p1.1.m1.1.4.3.2.1">
                  <mtext mathsize="70%" id="p1.1.m1.1.4.3.2.1.cmml" xref="p1.1.m1.1.4.3.2.1">satellite</mtext>
                </ci>
              </apply>
            </apply>
            <cn type="integer" id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">2</cn>
          </apply>
          <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
            <divide id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8"/>
            <apply id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.8.2.3.cmml" xref="p1.1.m1.1.8.2">subscript</csymbol>
              <ci id="p1.1.m1.1.8.2.1.cmml" xref="p1.1.m1.1.8.2.1">𝑚</ci>
              <ci id="p1.1.m1.1.8.2.2.1a.cmml" xref="p1.1.m1.1.8.2.2.1">
                <mtext mathsize="70%" id="p1.1.m1.1.8.2.2.1.cmml" xref="p1.1.m1.1.8.2.2.1">planet</mtext>
              </ci>
            </apply>
            <apply id="p1.1.m1.1.8.3.cmml" xref="p1.1.m1.1.8.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.8.3.3.cmml" xref="p1.1.m1.1.8.3">subscript</csymbol>
              <ci id="p1.1.m1.1.8.3.1.cmml" xref="p1.1.m1.1.8.3.1">𝑚</ci>
              <ci id="p1.1.m1.1.8.3.2.1a.cmml" xref="p1.1.m1.1.8.3.2.1">
                <mtext mathsize="70%" id="p1.1.m1.1.8.3.2.1.cmml" xref="p1.1.m1.1.8.3.2.1">star</mtext>
              </ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\text{tug-of-war index}=\left(\frac{a_{\text{%
planet}}}{a_{\text{satellite}}}\right)^{2}\times\frac{m_{\text{planet}}}{m_{%
\text{star}}}}}</annotation>
  </semantics>
</math>

SVG (18.129 KB / 6.73 KB) :

tug hyphen of hyphen war index equals left parenthesis StartFraction a Subscript planet Baseline Over a Subscript satellite Baseline EndFraction right parenthesis squared times StartFraction m Subscript planet Baseline Over m Subscript star Baseline EndFraction

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (1.832 KB / 475 B) :

tug-of-war index = ( a planet a satellite ) 2 × m planet m star {\displaystyle {\text{tug-of-war index}}=\left({\frac {a_{\text{planet}}}{a_{\text{satellite}}}}\right)^{2}\times {\frac {m_{\text{planet}}}{m_{\text{star}}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\text{tug-of-war index}}=\left({\frac {a_{\text{planet}}}{a_{\text{satellite}}}}\right)^{2}\times {\frac {m_{\text{planet}}}{m_{\text{star}}}}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <mtext>tug-of-war index</mtext>
        </mrow>
        <mo>=</mo>
        <msup>
          <mrow>
            <mo>(</mo>
            <mrow class="MJX-TeXAtom-ORD">
              <mfrac>
                <msub>
                  <mi>a</mi>
                  <mrow class="MJX-TeXAtom-ORD">
                    <mtext>planet</mtext>
                  </mrow>
                </msub>
                <msub>
                  <mi>a</mi>
                  <mrow class="MJX-TeXAtom-ORD">
                    <mtext>satellite</mtext>
                  </mrow>
                </msub>
              </mfrac>
            </mrow>
            <mo>)</mo>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>2</mn>
          </mrow>
        </msup>
        <mo>&#x00D7;<!-- × --></mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mfrac>
            <msub>
              <mi>m</mi>
              <mrow class="MJX-TeXAtom-ORD">
                <mtext>planet</mtext>
              </mrow>
            </msub>
            <msub>
              <mi>m</mi>
              <mrow class="MJX-TeXAtom-ORD">
                <mtext>star</mtext>
              </mrow>
            </msub>
          </mfrac>
        </mrow>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {\text{tug-of-war index}}=\left({\frac {a_{\text{planet}}}{a_{\text{satellite}}}}\right)^{2}\times {\frac {m_{\text{planet}}}{m_{\text{star}}}}}</annotation>
  </semantics>
</math>

SVG (16.835 KB / 6.495 KB) :

{\displaystyle {\text{tug-of-war index}}=\left({\frac {a_{\text{planet}}}{a_{\text{satellite}}}}\right)^{2}\times {\frac {m_{\text{planet}}}{m_{\text{star}}}}}

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 Talk:Double planet page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "https://en.formulasearchengine.com/wiki/Special:FormulaInfo"