Jump to navigation Jump to search

General

Display information for equation id:math.243827.8 on revision:243827

* Page found: Force field (physics) (eq math.243827.8)

(force rerendering)

Occurrences on the following pages:

Hash: 2cf412fc59bde512bd62a6bf1a0797ee

TeX (original user input): 

 W = \int_C \vec{F} \cdot d\vec{r}

TeX (checked): 

W=\int _{C}{\vec {F}}\cdot d{\vec {r}}

LaTeXML (experimental; uses MathML) rendering

MathML (3.169 KB / 779 B) :

W = ∫ C F → ⋅ 𝑑 r → 𝑊 subscript 𝐶 ⋅ → 𝐹 differential-d → 𝑟 {\displaystyle W=\int_{C}{\vec{F}}\cdot d{\vec{r}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle W=\int_{C}{\vec{F}}\cdot d{\vec{r}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">W</mi>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mrow id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.9.1.1" xref="p1.1.m1.1.9.1.1.cmml">
          <msub id="p1.1.m1.1.9.1.1a" xref="p1.1.m1.1.9.1.1.cmml">
            <mo largeop="true" symmetric="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">∫</mo>
            <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">C</mi>
          </msub>
        </mstyle>
        <mrow id="p1.1.m1.1.9.1.2" xref="p1.1.m1.1.9.1.2.cmml">
          <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">F</mi>
            <mo stretchy="false" id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">→</mo>
          </mover>
          <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">⋅</mo>
          <mrow id="p1.1.m1.1.9.1.2.1" xref="p1.1.m1.1.9.1.2.1.cmml">
            <mo rspace="0pt" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">𝑑</mo>
            <mover accent="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
              <mi id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">r</mi>
              <mo stretchy="false" id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">→</mo>
            </mover>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
        <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">𝑊</ci>
        <apply id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">
          <apply id="p1.1.m1.1.9.1.1.cmml" xref="p1.1.m1.1.9.1.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.9.1.1.1.cmml" xref="p1.1.m1.1.9.1.1">subscript</csymbol>
            <int id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
            <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝐶</ci>
          </apply>
          <apply id="p1.1.m1.1.9.1.2.cmml" xref="p1.1.m1.1.9.1.2">
            <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">⋅</ci>
            <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">𝐹</ci>
            </apply>
            <apply id="p1.1.m1.1.9.1.2.1.cmml" xref="p1.1.m1.1.9.1.2.1">
              <csymbol cd="latexml" id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">differential-d</csymbol>
              <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
                <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">→</ci>
                <ci id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">𝑟</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle W=\int_{C}{\vec{F}}\cdot d{\vec{r}}}</annotation>
  </semantics>
</math>

SVG (7.032 KB / 2.977 KB) :

upper W equals integral Underscript upper C Endscripts ModifyingAbove upper F With right-arrow dot italic d ModifyingAbove r With right-arrow

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.098 KB / 387 B) :

W = ∫ C F → ⋅ d r → {\displaystyle W=\int _{C}{\vec {F}}\cdot d{\vec {r}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle W=\int _{C}{\vec {F}}\cdot d{\vec {r}}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>W</mi>
        <mo>=</mo>
        <msub>
          <mo>&#x222B;<!-- ∫ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>C</mi>
          </mrow>
        </msub>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi>F</mi>
              <mo stretchy="false">&#x2192;<!-- → --></mo>
            </mover>
          </mrow>
        </mrow>
        <mo>&#x22C5;<!-- ⋅ --></mo>
        <mi>d</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi>r</mi>
              <mo stretchy="false">&#x2192;<!-- → --></mo>
            </mover>
          </mrow>
        </mrow>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle W=\int _{C}{\vec {F}}\cdot d{\vec {r}}}</annotation>
  </semantics>
</math>

SVG (5.949 KB / 2.772 KB) :

{\displaystyle W=\int _{C}{\vec {F}}\cdot d{\vec {r}}}

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 Force field (physics) 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"