Jump to navigation Jump to search

General

Display information for equation id:math.1130.0 on revision:1130

* Page found: Effektives Potential (eq math.1130.0)

(force rerendering)

Occurrences on the following pages:

Hash: ba1953af03893e42fc422586ff448857

TeX (original user input):

L={{L}_{z}}{{e}_{z}}=r\times p,{{e}_{z}}\bot A\left( r,\dot{r} \right)

TeX (checked):

L={{L}_{z}}{{e}_{z}}=r\times p,{{e}_{z}}\bot A\left(r,{\dot {r}}\right)

LaTeXML (experimental; uses MathML) rendering

MathML (5.988 KB / 1.105 KB) :

L = L z e z = r × p , e z A ( r , r ˙ ) formulae-sequence 𝐿 subscript 𝐿 𝑧 subscript 𝑒 𝑧 𝑟 𝑝 bottom subscript 𝑒 𝑧 𝐴 𝑟 ˙ 𝑟 {\displaystyle{\displaystyle L={{L}_{z}}{{e}_{z}}=r\times p,{{e}_{z}}\bot A% \left(r,\dot{r}\right)}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle L={{L}_{z}}{{e}_{z}}=r\times p,{{e}_{z}}\bot A%&#10;\left(r,\dot{r}\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.21" xref="p1.1.m1.1.21.1.cmml">
      <mrow id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">L</mi>
        <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
        <mrow id="p1.1.m1.1.21.2.2" xref="p1.1.m1.1.21.2.2.cmml">
          <msub id="p1.1.m1.1.21.2.2.2" xref="p1.1.m1.1.21.2.2.2.cmml">
            <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">L</mi>
            <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">z</mi>
          </msub>
          <mo id="p1.1.m1.1.21.2.2.1" xref="p1.1.m1.1.21.2.2.1.cmml"></mo>
          <msub id="p1.1.m1.1.21.2.2.3" xref="p1.1.m1.1.21.2.2.3.cmml">
            <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">e</mi>
            <mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">z</mi>
          </msub>
        </mrow>
        <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">=</mo>
        <mrow id="p1.1.m1.1.21.2.3" xref="p1.1.m1.1.21.2.3.cmml">
          <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">r</mi>
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">×</mo>
          <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">p</mi>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.21.1a.cmml">,</mo>
      <mrow id="p1.1.m1.1.21.3" xref="p1.1.m1.1.21.3.cmml">
        <msub id="p1.1.m1.1.21.3.1" xref="p1.1.m1.1.21.3.1.cmml">
          <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">e</mi>
          <mi id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">z</mi>
        </msub>
        <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml"></mo>
        <mrow id="p1.1.m1.1.21.3.2" xref="p1.1.m1.1.21.3.2.cmml">
          <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">A</mi>
          <mo id="p1.1.m1.1.21.3.2.1" xref="p1.1.m1.1.21.3.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.21.3.2.2" xref="p1.1.m1.1.21.3.2.2.1.cmml">
            <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.21.3.2.2.1.cmml">(</mo>
            <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">r</mi>
            <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.21.3.2.2.1.cmml">,</mo>
            <mover accent="true" id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
              <mi id="p1.1.m1.1.19.2" xref="p1.1.m1.1.19.2.cmml">r</mi>
              <mo id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">˙</mo>
            </mover>
            <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.21.3.2.2.1.cmml">)</mo>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21">
        <csymbol cd="ambiguous" id="p1.1.m1.1.21.1a.cmml" xref="p1.1.m1.1.11">formulae-sequence</csymbol>
        <apply id="p1.1.m1.1.21.2.cmml" xref="p1.1.m1.1.21.2">
          <and id="p1.1.m1.1.21.2a.cmml" xref="p1.1.m1.1.21.2"/>
          <apply id="p1.1.m1.1.21.2b.cmml" xref="p1.1.m1.1.21.2">
            <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
            <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝐿</ci>
            <apply id="p1.1.m1.1.21.2.2.cmml" xref="p1.1.m1.1.21.2.2">
              <times id="p1.1.m1.1.21.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.1"/>
              <apply id="p1.1.m1.1.21.2.2.2.cmml" xref="p1.1.m1.1.21.2.2.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.2">subscript</csymbol>
                <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝐿</ci>
                <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝑧</ci>
              </apply>
              <apply id="p1.1.m1.1.21.2.2.3.cmml" xref="p1.1.m1.1.21.2.2.3">
                <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.2.3.1.cmml" xref="p1.1.m1.1.21.2.2.3">subscript</csymbol>
                <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑒</ci>
                <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝑧</ci>
              </apply>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.21.2c.cmml" xref="p1.1.m1.1.21.2">
            <eq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
            <share href="#p1.1.m1.1.21.2.2.cmml" id="p1.1.m1.1.21.2d.cmml" xref="p1.1.m1.1.21.2"/>
            <apply id="p1.1.m1.1.21.2.3.cmml" xref="p1.1.m1.1.21.2.3">
              <times id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
              <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑟</ci>
              <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑝</ci>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.21.3.cmml" xref="p1.1.m1.1.21.3">
          <csymbol cd="latexml" id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">bottom</csymbol>
          <apply id="p1.1.m1.1.21.3.1.cmml" xref="p1.1.m1.1.21.3.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.21.3.1.1.cmml" xref="p1.1.m1.1.21.3.1">subscript</csymbol>
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑒</ci>
            <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">𝑧</ci>
          </apply>
          <apply id="p1.1.m1.1.21.3.2.cmml" xref="p1.1.m1.1.21.3.2">
            <times id="p1.1.m1.1.21.3.2.1.cmml" xref="p1.1.m1.1.21.3.2.1"/>
            <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝐴</ci>
            <interval closure="open" id="p1.1.m1.1.21.3.2.2.1.cmml" xref="p1.1.m1.1.21.3.2.2">
              <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">𝑟</ci>
              <apply id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">
                <ci id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">˙</ci>
                <ci id="p1.1.m1.1.19.2.cmml" xref="p1.1.m1.1.19.2">𝑟</ci>
              </apply>
            </interval>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle L={{L}_{z}}{{e}_{z}}=r\times p,{{e}_{z}}\bot A%
\left(r,\dot{r}\right)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (746 B / 291 B) :

L=Lzez=r×p,ezA(r,r˙)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mo>=</mo><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mo>=</mo><mi>r</mi><mo>&#x00D7;</mo><mi>p</mi><mo>,</mo><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mi mathvariant="normal">&#x22A5;</mi><mi>A</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>r</mi><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></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 Effektives Potential page

Identifiers

  • L
  • Lz
  • ez
  • r
  • p
  • ez
  • A
  • r
  • r˙

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results