Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1110.18 on revision:1110

* Page found: ART-Skript (eq math.1110.18)

(force rerendering)

Occurrences on the following pages:

Hash: bd27e5b9e3532eda787ef3bc68fc5be7

TeX (original user input): 

\phi :=-\frac{\omega }{2}\left[ {{\left( x{{'}^{1}} \right)}^{2}}+{{\left( x{{'}^{2}} \right)}^{2}} \right]

TeX (checked): 

\phi :=-{\frac {\omega }{2}}\left[{{\left(x{{'}^{1}}\right)}^{2}}+{{\left(x{{'}^{2}}\right)}^{2}}\right]

LaTeXML (experimentell; verwendet MathML) rendering

MathML (6.555 KB / 1.169 KB) :

ϕ := - ω 2 [ ( x ) ′ 1 2 + ( x ) ′ 2 2 ] fragments ϕ assign 𝜔 2 fragments [ superscript fragments ( x superscript superscript ) 1 ′ 2 superscript fragments ( x superscript superscript ) 2 ′ 2 ] {\displaystyle{\displaystyle\phi:=-\frac{\omega}{2}\left[{{\left(x{{{}^{\prime% }}^{1}}\right)}^{2}}+{{\left(x{{{}^{\prime}}^{2}}\right)}^{2}}\right]}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\phi:=-\frac{\omega}{2}\left[{{\left(x{{{}^{\prime%&#10;}}^{1}}\right)}^{2}}+{{\left(x{{{}^{\prime}}^{2}}\right)}^{2}}\right]}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">ϕ</mi>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">:=</mo>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">-</mo>
      <mstyle displaystyle="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
        <mfrac id="p1.1.m1.1.5a" xref="p1.1.m1.1.5.cmml">
          <mi id="p1.1.m1.1.5.2" xref="p1.1.m1.1.5.2.cmml">ω</mi>
          <mn id="p1.1.m1.1.5.3" xref="p1.1.m1.1.5.3.cmml">2</mn>
        </mfrac>
      </mstyle>
      <mrow id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
        <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">[</mo>
        <msup id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
          <mrow id="p1.1.m1.1.21.3" xref="p1.1.m1.1.21.3.cmml">
            <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">x</mi>
            <mmultiscripts id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.cmml">
              <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">)</mo>
              <mprescripts id="p1.1.m1.1.21.2a" xref="p1.1.m1.1.21.2.cmml"/>
              <none id="p1.1.m1.1.21.2b" xref="p1.1.m1.1.21.2.cmml"/>
              <mo id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">′</mo>
              <none id="p1.1.m1.1.21.2c" xref="p1.1.m1.1.21.2.cmml"/>
              <mn id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">1</mn>
            </mmultiscripts>
          </mrow>
          <mn id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">2</mn>
        </msup>
        <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">+</mo>
        <msup id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
          <mrow id="p1.1.m1.1.22.3" xref="p1.1.m1.1.22.3.cmml">
            <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">(</mo>
            <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">x</mi>
            <mmultiscripts id="p1.1.m1.1.22.2" xref="p1.1.m1.1.22.2.cmml">
              <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">)</mo>
              <mprescripts id="p1.1.m1.1.22.2a" xref="p1.1.m1.1.22.2.cmml"/>
              <none id="p1.1.m1.1.22.2b" xref="p1.1.m1.1.22.2.cmml"/>
              <mo id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">′</mo>
              <none id="p1.1.m1.1.22.2c" xref="p1.1.m1.1.22.2.cmml"/>
              <mn id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">2</mn>
            </mmultiscripts>
          </mrow>
          <mn id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">2</mn>
        </msup>
        <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">]</mo>
      </mrow>
    </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>
        <csymbol cd="unknown" id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">ϕ</csymbol>
        <csymbol cd="latexml" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">assign</csymbol>
        <minus id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">
          <divide id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5"/>
          <ci id="p1.1.m1.1.5.2.cmml" xref="p1.1.m1.1.5.2">𝜔</ci>
          <cn type="integer" id="p1.1.m1.1.5.3.cmml" xref="p1.1.m1.1.5.3">2</cn>
        </apply>
        <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.m1.1.6.cmml" xref="p1.1.m1.1.6">[</ci>
          <apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
            <csymbol cd="ambiguous" id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21">superscript</csymbol>
            <cerror id="p1.1.m1.1.21.3.cmml" xref="p1.1.m1.1.21.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.21.3a.cmml" xref="p1.1.m1.1.21.3">fragments</csymbol>
              <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">(</ci>
              <csymbol cd="unknown" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">x</csymbol>
              <apply id="p1.1.m1.1.21.2.cmml" xref="p1.1.m1.1.21.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.1.cmml" xref="p1.1.m1.1.21.2">superscript</csymbol>
                <apply id="p1.1.m1.1.21.2.2.cmml" xref="p1.1.m1.1.21.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.2.1.cmml" xref="p1.1.m1.1.21.2">superscript</csymbol>
                  <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">)</ci>
                  <cn type="integer" id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">1</cn>
                </apply>
                <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">′</ci>
              </apply>
            </cerror>
            <cn type="integer" id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">2</cn>
          </apply>
          <plus id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
          <apply id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
            <csymbol cd="ambiguous" id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22">superscript</csymbol>
            <cerror id="p1.1.m1.1.22.3.cmml" xref="p1.1.m1.1.22.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.22.3a.cmml" xref="p1.1.m1.1.22.3">fragments</csymbol>
              <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">(</ci>
              <csymbol cd="unknown" id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">x</csymbol>
              <apply id="p1.1.m1.1.22.2.cmml" xref="p1.1.m1.1.22.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.22.2.1.cmml" xref="p1.1.m1.1.22.2">superscript</csymbol>
                <apply id="p1.1.m1.1.22.2.2.cmml" xref="p1.1.m1.1.22.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.22.2.2.1.cmml" xref="p1.1.m1.1.22.2">superscript</csymbol>
                  <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">)</ci>
                  <cn type="integer" id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">2</cn>
                </apply>
                <ci id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">′</ci>
              </apply>
            </cerror>
            <cn type="integer" id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">2</cn>
          </apply>
          <ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">]</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\phi:=-\frac{\omega}{2}\left[{{\left(x{{{}^{\prime%
}}^{1}}\right)}^{2}}+{{\left(x{{{}^{\prime}}^{2}}\right)}^{2}}\right]}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (998 B / 286 B) :

ϕ:=−ω2[(x'1)2+(x'2)2]
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03D5;</mi><mi>:</mi><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C9;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><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 ART-Skript page

Identifiers

  • ϕ
  • ω
  • x
  • x

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“