Jump to navigation Jump to search

General

Display information for equation id:math.224637.16 on revision:224637

* Page found: Del (eq math.224637.16)

(force rerendering)

Occurrences on the following pages:

Hash: b1f3b8f45ac4dcc3b3c01af2feac6f4d

TeX (original user input): 

\nabla \times (f \vec v) = (\nabla f) \times \vec v + f (\nabla \times \vec v

TeX (checked): 

\nabla \times (f{\vec {v}})=(\nabla f)\times {\vec {v}}+f(\nabla \times {\vec {v}}

LaTeXML (experimental; uses MathML) rendering

MathML (4.782 KB / 944 B) :

∇ × ( f v → ) = ( ∇ f ) × v → + f ( ∇ × v → fragments ∇ fragments ( f → 𝑣 ) fragments ( ∇ f ) → 𝑣 f fragments ( ∇ → 𝑣 {\displaystyle\nabla\times(f{\vec{v}})=(\nabla f)\times{\vec{v}}+f(\nabla% \times{\vec{v}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\nabla\times(f{\vec{v}})=(\nabla f)\times{\vec{v}}+f(\nabla%&#10;\times{\vec{v}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">∇</mo>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">×</mo>
      <mrow id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
        <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">(</mo>
        <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">f</mi>
        <mover accent="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
          <mi id="p1.1.m1.1.5.2" xref="p1.1.m1.1.5.2.cmml">v</mi>
          <mo stretchy="false" id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">→</mo>
        </mover>
        <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">=</mo>
      <mrow id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
        <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">(</mo>
        <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">f</mi>
        <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">×</mo>
      <mover accent="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
        <mi id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.2.cmml">v</mi>
        <mo stretchy="false" id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">→</mo>
      </mover>
      <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">f</mi>
      <mrow id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
        <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">(</mo>
        <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">∇</mo>
        <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.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">v</mi>
          <mo stretchy="false" id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">→</mo>
        </mover>
      </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>
        <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">∇</ci>
        <times id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <cerror id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
          <csymbol cd="ambiguous" id="p1.1.m1.1.20a.cmml" xref="p1.1.m1.1.20">fragments</csymbol>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">f</csymbol>
          <apply id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">
            <ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">→</ci>
            <ci id="p1.1.m1.1.5.2.cmml" xref="p1.1.m1.1.5.2">𝑣</ci>
          </apply>
          <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">)</ci>
        </cerror>
        <eq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
        <cerror id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
          <csymbol cd="ambiguous" id="p1.1.m1.1.21a.cmml" xref="p1.1.m1.1.21">fragments</csymbol>
          <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">(</ci>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">∇</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">f</csymbol>
          <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">)</ci>
        </cerror>
        <times id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
        <apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
          <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">→</ci>
          <ci id="p1.1.m1.1.13.2.cmml" xref="p1.1.m1.1.13.2">𝑣</ci>
        </apply>
        <plus id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
        <csymbol cd="unknown" id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">f</csymbol>
        <cerror id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
          <csymbol cd="ambiguous" id="p1.1.m1.1.22a.cmml" xref="p1.1.m1.1.22">fragments</csymbol>
          <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">(</ci>
          <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">∇</ci>
          <times id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18"/>
          <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">𝑣</ci>
          </apply>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle\nabla\times(f{\vec{v}})=(\nabla f)\times{\vec{v}}+f(\nabla%
\times{\vec{v}}}</annotation>
  </semantics>
</math>

SVG (6.801 KB / 2.228 KB) :

nabla times left-parenthesis f ModifyingAbove v With right-arrow right-parenthesis equals left-parenthesis nabla f right-parenthesis times ModifyingAbove v With right-arrow plus f left-parenthesis nabla times ModifyingAbove v With right-arrow

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.727 KB / 420 B) :

∇ × ( f v → ) = ( ∇ f ) × v → + f ( ∇ × v → {\displaystyle \nabla \times (f{\vec {v}})=(\nabla f)\times {\vec {v}}+f(\nabla \times {\vec {v}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \nabla \times (f{\vec {v}})=(\nabla f)\times {\vec {v}}+f(\nabla \times {\vec {v}}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi mathvariant="normal">&#x2207;<!-- ∇ --></mi>
        <mo>&#x00D7;<!-- × --></mo>
        <mo stretchy="false">(</mo>
        <mi>f</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi>v</mi>
              <mo stretchy="false">&#x2192;<!-- → --></mo>
            </mover>
          </mrow>
        </mrow>
        <mo stretchy="false">)</mo>
        <mo>=</mo>
        <mo stretchy="false">(</mo>
        <mi mathvariant="normal">&#x2207;<!-- ∇ --></mi>
        <mi>f</mi>
        <mo stretchy="false">)</mo>
        <mo>&#x00D7;<!-- × --></mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi>v</mi>
              <mo stretchy="false">&#x2192;<!-- → --></mo>
            </mover>
          </mrow>
        </mrow>
        <mo>+</mo>
        <mi>f</mi>
        <mo stretchy="false">(</mo>
        <mi mathvariant="normal">&#x2207;<!-- ∇ --></mi>
        <mo>&#x00D7;<!-- × --></mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi>v</mi>
              <mo stretchy="false">&#x2192;<!-- → --></mo>
            </mover>
          </mrow>
        </mrow>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \nabla \times (f{\vec {v}})=(\nabla f)\times {\vec {v}}+f(\nabla \times {\vec {v}}}</annotation>
  </semantics>
</math>

SVG (5.029 KB / 1.993 KB) :

{\displaystyle \nabla \times (f{\vec {v}})=(\nabla f)\times {\vec {v}}+f(\nabla \times {\vec {v}}}

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 Del 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"