Jump to navigation Jump to search

General

Display information for equation id:math.227392.4 on revision:227392

* Page found: Elasticity (physics) (eq math.227392.4)

(force rerendering)

Occurrences on the following pages:

Hash: ad05f3b771692dcfabc7e6820c43902e

TeX (original user input):

   \dot{\boldsymbol{\sigma}} = \mathsf{D}:\dot{\boldsymbol{F}} \,.

TeX (checked):

{\dot {\boldsymbol {\sigma }}}={\mathsf {D}}:{\dot {\boldsymbol {F}}}\,.

LaTeXML (experimental; uses MathML) rendering

MathML (2.233 KB / 599 B) :

𝝈 ˙ = 𝖣 : 𝑭 ˙ . : ˙ 𝝈 𝖣 ˙ 𝑭 {\displaystyle{\dot{{\boldsymbol{\sigma}}}}={\mathsf{D}}:{\dot{{\boldsymbol{F}% }}}\,.}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\dot{{\boldsymbol{\sigma}}}}={\mathsf{D}}:{\dot{{\boldsymbol{F}%&#10;}}}\,.}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.8" xref="p1.1.m1.1.8.2.cmml">
      <mrow id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">
        <mrow id="p1.1.m1.1.8.2.1" xref="p1.1.m1.1.8.2.1.cmml">
          <mover accent="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
            <mi id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">𝝈</mi>
            <mo id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">˙</mo>
          </mover>
          <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
          <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">𝖣</mi>
        </mrow>
        <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">:</mo>
        <mpadded width="+1.7pt" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
          <mover accent="true" 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">𝑭</mi>
            <mo id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">˙</mo>
          </mover>
        </mpadded>
      </mrow>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.8.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8">
        <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">:</ci>
        <apply id="p1.1.m1.1.8.2.1.cmml" xref="p1.1.m1.1.8.2.1">
          <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
          <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
            <ci id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.1">˙</ci>
            <ci id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">𝝈</ci>
          </apply>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝖣</ci>
        </apply>
        <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>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\dot{{\boldsymbol{\sigma}}}}={\mathsf{D}}:{\dot{{\boldsymbol{F}%
}}}\,.}</annotation>
  </semantics>
</math>

SVG (4.008 KB / 1.585 KB) :

ModifyingAbove 𝝈 With dot equals sans-serif upper D colon ModifyingAbove 𝑭 With dot period

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

MathML (1.209 KB / 399 B) :

σ ˙ = D : F ˙ . {\displaystyle {\dot {\boldsymbol {\sigma }}}={\mathsf {D}}:{\dot {\boldsymbol {F}}}\,.}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\dot {\boldsymbol {\sigma }}}={\mathsf {D}}:{\dot {\boldsymbol {F}}}\,.}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi mathvariant="bold-italic">&#x03C3;<!-- σ --></mi>
              <mo>&#x02D9;<!-- ˙ --></mo>
            </mover>
          </mrow>
        </mrow>
        <mo>=</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mi mathvariant="sans-serif">D</mi>
          </mrow>
        </mrow>
        <mo>:</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi mathvariant="bold-italic">F</mi>
              <mo>&#x02D9;<!-- ˙ --></mo>
            </mover>
          </mrow>
        </mrow>
        <mspace width="thinmathspace" />
        <mo>.</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {\dot {\boldsymbol {\sigma }}}={\mathsf {D}}:{\dot {\boldsymbol {F}}}\,.}</annotation>
  </semantics>
</math>

SVG (3.224 KB / 1.455 KB) :

{\displaystyle {\dot {\boldsymbol {\sigma }}}={\mathsf {D}}:{\dot {\boldsymbol {F}}}\,.}

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 Elasticity (physics) page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results