Jump to navigation Jump to search

General

Display information for equation id:math.219095.37 on revision:219095

* Page found: Commutator (eq math.219095.37)

(force rerendering)

Occurrences on the following pages:

Hash: 0b0b4bf40868b9a659f9d4417631dce1

TeX (original user input): 

{\rm ad} (x){\rm ad} (x)(y) = [x,[x,y]\,]

TeX (checked): 

{\rm {ad}}(x){\rm {ad}}(x)(y)=[x,[x,y]\,]

LaTeXML (experimental; uses MathML) rendering

MathML (3.75 KB / 713 B) :

ad ⁢ ( x ) ⁢ ad ⁢ ( x ) ⁢ ( y ) = [ x , [ x , y ] ] ad 𝑥 ad 𝑥 𝑦 𝑥 𝑥 𝑦 {\displaystyle{{\rm{ad}}}(x){{\rm{ad}}}(x)(y)=[x,[x,y]\,]} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{{\rm{ad}}}(x){{\rm{ad}}}(x)(y)=[x,[x,y]\,]}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">
      <mrow id="p1.1.m1.1.25.1" xref="p1.1.m1.1.25.1.cmml">
        <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">ad</mi>
        <mo id="p1.1.m1.1.25.1.1" xref="p1.1.m1.1.25.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.25.1.2" xref="p1.1.m1.1.25.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.25.1.cmml">(</mo>
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">x</mi>
          <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.25.1.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.25.1.1a" xref="p1.1.m1.1.25.1.1.cmml">⁢</mo>
        <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">ad</mi>
        <mo id="p1.1.m1.1.25.1.1b" xref="p1.1.m1.1.25.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.25.1.3" xref="p1.1.m1.1.25.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.25.1.cmml">(</mo>
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">x</mi>
          <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.25.1.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.25.1.1c" xref="p1.1.m1.1.25.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.25.1.4" xref="p1.1.m1.1.25.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.25.1.cmml">(</mo>
          <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">y</mi>
          <mo stretchy="false" id="p1.1.m1.1.13" xref="p1.1.m1.1.25.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">=</mo>
      <mrow id="p1.1.m1.1.25.2" xref="p1.1.m1.1.25.2.1.cmml">
        <mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.25.2.1.cmml">[</mo>
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">x</mi>
        <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.25.2.1.cmml">,</mo>
        <mrow id="p1.1.m1.1.25.2.2" xref="p1.1.m1.1.25.2.2.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.18" xref="p1.1.m1.1.25.2.2.1.cmml">[</mo>
          <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">x</mi>
          <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.25.2.2.1.cmml">,</mo>
          <mi id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">y</mi>
          <mo rspace="4.2pt" stretchy="false" id="p1.1.m1.1.22" xref="p1.1.m1.1.25.2.2.1.cmml">]</mo>
        </mrow>
        <mo stretchy="false" id="p1.1.m1.1.24" xref="p1.1.m1.1.25.2.1.cmml">]</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">
        <eq id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
        <apply id="p1.1.m1.1.25.1.cmml" xref="p1.1.m1.1.25.1">
          <times id="p1.1.m1.1.25.1.1.cmml" xref="p1.1.m1.1.25.1.1"/>
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">ad</ci>
          <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑥</ci>
          <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">ad</ci>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑥</ci>
          <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑦</ci>
        </apply>
        <interval closure="closed" id="p1.1.m1.1.25.2.1.cmml" xref="p1.1.m1.1.25.2">
          <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑥</ci>
          <interval closure="closed" id="p1.1.m1.1.25.2.2.1.cmml" xref="p1.1.m1.1.25.2.2">
            <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">𝑥</ci>
            <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">𝑦</ci>
          </interval>
        </interval>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{{\rm{ad}}}(x){{\rm{ad}}}(x)(y)=[x,[x,y]\,]}</annotation>
  </semantics>
</math>

SVG (7.651 KB / 2.517 KB) :

a d times left-parenthesis x right-parenthesis times a d times left-parenthesis x right-parenthesis times left-parenthesis y right-parenthesis equals left-bracket x comma left-bracket x comma y right-bracket right-bracket

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.344 KB / 359 B) :

a d ( x ) a d ( x ) ( y ) = [ x , [ x , y ] ] {\displaystyle {\rm {ad}}(x){\rm {ad}}(x)(y)=[x,[x,y]\,]} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\rm {ad}}(x){\rm {ad}}(x)(y)=[x,[x,y]\,]}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mi mathvariant="normal">a</mi>
            <mi mathvariant="normal">d</mi>
          </mrow>
        </mrow>
        <mo stretchy="false">(</mo>
        <mi>x</mi>
        <mo stretchy="false">)</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mi mathvariant="normal">a</mi>
            <mi mathvariant="normal">d</mi>
          </mrow>
        </mrow>
        <mo stretchy="false">(</mo>
        <mi>x</mi>
        <mo stretchy="false">)</mo>
        <mo stretchy="false">(</mo>
        <mi>y</mi>
        <mo stretchy="false">)</mo>
        <mo>=</mo>
        <mo stretchy="false">[</mo>
        <mi>x</mi>
        <mo>,</mo>
        <mo stretchy="false">[</mo>
        <mi>x</mi>
        <mo>,</mo>
        <mi>y</mi>
        <mo stretchy="false">]</mo>
        <mspace width="thinmathspace" />
        <mo stretchy="false">]</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {\rm {ad}}(x){\rm {ad}}(x)(y)=[x,[x,y]\,]}</annotation>
  </semantics>
</math>

SVG (5.578 KB / 2.296 KB) :

{\displaystyle {\rm {ad}}(x){\rm {ad}}(x)(y)=[x,[x,y]\,]}

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 Commutator 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"