Jump to navigation Jump to search

General

Display information for equation id:math.240937.2 on revision:240937

* Page found: Exact differential equation (eq math.240937.2)

(force rerendering)

Occurrences on the following pages:

Hash: 5fa5a97e5750447cca46ccf8f648d160

TeX (original user input):

\frac{\partial F}{\partial y}(x, y) = J.

TeX (checked):

{\frac {\partial F}{\partial y}}(x,y)=J.

LaTeXML (experimental; uses MathML) rendering

MathML (3.347 KB / 726 B) :

F y ( x , y ) = J . 𝐹 𝑦 𝑥 𝑦 𝐽 {\displaystyle{\frac{\partial F}{\partial y}}(x,y)=J.}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\frac{\partial F}{\partial y}}(x,y)=J.}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.10" xref="p1.1.m1.1.10.2.cmml">
      <mrow id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">
        <mrow id="p1.1.m1.1.10.2.1" xref="p1.1.m1.1.10.2.1.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
            <mfrac id="p1.1.m1.1.1a" xref="p1.1.m1.1.1.cmml">
              <mrow id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">
                <mo id="p1.1.m1.1.1.2.1" xref="p1.1.m1.1.1.2.1.cmml"></mo>
                <mo id="p1.1.m1.1.1.2a" xref="p1.1.m1.1.1.2.cmml"></mo>
                <mi id="p1.1.m1.1.1.2.2" xref="p1.1.m1.1.1.2.2.cmml">F</mi>
              </mrow>
              <mrow id="p1.1.m1.1.1.3" xref="p1.1.m1.1.1.3.cmml">
                <mo id="p1.1.m1.1.1.3.1" xref="p1.1.m1.1.1.3.1.cmml"></mo>
                <mo id="p1.1.m1.1.1.3a" xref="p1.1.m1.1.1.3.cmml"></mo>
                <mi id="p1.1.m1.1.1.3.2" xref="p1.1.m1.1.1.3.2.cmml">y</mi>
              </mrow>
            </mfrac>
          </mstyle>
          <mo id="p1.1.m1.1.10.2.1.1" xref="p1.1.m1.1.10.2.1.1.cmml"></mo>
          <mrow id="p1.1.m1.1.10.2.1.2" xref="p1.1.m1.1.10.2.1.2.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.10.2.1.2.1.cmml">(</mo>
            <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">x</mi>
            <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.10.2.1.2.1.cmml">,</mo>
            <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">y</mi>
            <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.10.2.1.2.1.cmml">)</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">=</mo>
        <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">J</mi>
      </mrow>
      <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.10.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10">
        <eq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
        <apply id="p1.1.m1.1.10.2.1.cmml" xref="p1.1.m1.1.10.2.1">
          <times id="p1.1.m1.1.10.2.1.1.cmml" xref="p1.1.m1.1.10.2.1.1"/>
          <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
            <divide id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1"/>
            <apply id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">
              <partialdiff id="p1.1.m1.1.1.2.1.cmml" xref="p1.1.m1.1.1.2.1"/>
              <ci id="p1.1.m1.1.1.2.2.cmml" xref="p1.1.m1.1.1.2.2">𝐹</ci>
            </apply>
            <apply id="p1.1.m1.1.1.3.cmml" xref="p1.1.m1.1.1.3">
              <partialdiff id="p1.1.m1.1.1.3.1.cmml" xref="p1.1.m1.1.1.3.1"/>
              <ci id="p1.1.m1.1.1.3.2.cmml" xref="p1.1.m1.1.1.3.2">𝑦</ci>
            </apply>
          </apply>
          <interval closure="open" id="p1.1.m1.1.10.2.1.2.1.cmml" xref="p1.1.m1.1.10.2.1.2">
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑥</ci>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑦</ci>
          </interval>
        </apply>
        <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝐽</ci>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\frac{\partial F}{\partial y}}(x,y)=J.}</annotation>
  </semantics>
</math>

SVG (7.173 KB / 2.81 KB) :

StartFraction partial-differential upper F Over partial-differential y EndFraction times left-parenthesis x comma y right-parenthesis equals upper J period

SVG (MathML can be enabled via browser plugin) rendering

MathML (934 B / 369 B) :

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

SVG (5.742 KB / 2.579 KB) :

{\displaystyle {\frac {\partial F}{\partial y}}(x,y)=J.}

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 Exact differential equation page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results