Jump to navigation Jump to search

General

Display information for equation id:math.253617.10 on revision:253617

* Page found: Lie bracket of vector fields (eq math.253617.10)

(force rerendering)

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

Occurrences on the following pages:

Hash: df65ecd5f9c2fb0b97f1681ffaee73bd

TeX (original user input):

\partial_i = \frac{\partial}{\partial x^i}

LaTeXML (experimental; uses MathML) rendering

MathML (2.565 KB / 648 B) :

i = x i subscript 𝑖 superscript 𝑥 𝑖 {\displaystyle\partial_{i}={\frac{\partial}{\partial x^{i}}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\partial_{i}={\frac{\partial}{\partial x^{i}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
      <msub id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">
        <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml"></mo>
        <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">i</mi>
      </msub>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.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">
          <mo id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml"></mo>
          <mrow id="p1.1.m1.1.4.3" xref="p1.1.m1.1.4.3.cmml">
            <mo id="p1.1.m1.1.4.3.1" xref="p1.1.m1.1.4.3.1.cmml"></mo>
            <mo id="p1.1.m1.1.4.3a" xref="p1.1.m1.1.4.3.cmml"></mo>
            <msup id="p1.1.m1.1.4.3.4" xref="p1.1.m1.1.4.3.4.cmml">
              <mi id="p1.1.m1.1.4.3.2" xref="p1.1.m1.1.4.3.2.cmml">x</mi>
              <mi id="p1.1.m1.1.4.3.3.1" xref="p1.1.m1.1.4.3.3.1.cmml">i</mi>
            </msup>
          </mrow>
        </mfrac>
      </mstyle>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.5.1.1.cmml" xref="p1.1.m1.1.5.1">subscript</csymbol>
          <partialdiff id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">𝑖</ci>
        </apply>
        <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
          <divide id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4"/>
          <partialdiff id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2"/>
          <apply id="p1.1.m1.1.4.3.cmml" xref="p1.1.m1.1.4.3">
            <partialdiff id="p1.1.m1.1.4.3.1.cmml" xref="p1.1.m1.1.4.3.1"/>
            <apply id="p1.1.m1.1.4.3.4.cmml" xref="p1.1.m1.1.4.3.4">
              <csymbol cd="ambiguous" id="p1.1.m1.1.4.3.4.1.cmml" xref="p1.1.m1.1.4.3.4">superscript</csymbol>
              <ci id="p1.1.m1.1.4.3.2.cmml" xref="p1.1.m1.1.4.3.2">𝑥</ci>
              <ci id="p1.1.m1.1.4.3.3.1.cmml" xref="p1.1.m1.1.4.3.3.1">𝑖</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\partial_{i}={\frac{\partial}{\partial x^{i}}}}</annotation>
  </semantics>
</math>

SVG (3.986 KB / 1.625 KB) :

partial-differential Subscript i Baseline equals StartFraction partial-differential Over partial-differential x Superscript i Baseline EndFraction

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

MathML (1.014 KB / 365 B) :

i = x i {\displaystyle \partial _{i}={\frac {\partial }{\partial x^{i}}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \partial _{i}={\frac {\partial }{\partial x^{i}}}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <msub>
          <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>i</mi>
          </mrow>
        </msub>
        <mo>=</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mfrac>
            <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
            <mrow>
              <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
              <msup>
                <mi>x</mi>
                <mrow class="MJX-TeXAtom-ORD">
                  <mi>i</mi>
                </mrow>
              </msup>
            </mrow>
          </mfrac>
        </mrow>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \partial _{i}={\frac {\partial }{\partial x^{i}}}}</annotation>
  </semantics>
</math>

SVG (3.163 KB / 1.474 KB) :

{\displaystyle \partial _{i}={\frac {\partial }{\partial x^{i}}}}

PNG (0 B / 8 B) :


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 Lie bracket of vector fields page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results