ag-gipp/GoUldI

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data/mathoid/70.mml

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<math 
  xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="d f equals StartFraction partial-differential f Over partial-differential x EndFraction d x plus StartFraction partial-differential f Over partial-differential y EndFraction d y equals p d x plus v d y">
  <semantics>
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        <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="35">d</mi>
        <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="34" data-semantic-parent="35" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
        <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="35">f</mi>
      </mrow>
      <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="2" data-semantic-parent="50" data-semantic-operator="relseq,=">=</mo>
      <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="42" data-semantic-children="38,41" data-semantic-content="14" data-semantic-parent="50">
        <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="38" data-semantic-children="11,12,13" data-semantic-content="36,37" data-semantic-parent="42">
          <mrow class="MJX-TeXAtom-ORD">
            <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="11" data-semantic-children="6,10" data-semantic-parent="38">
              <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="6" data-semantic-children="3,4" data-semantic-content="5" data-semantic-parent="11">
                <mi mathvariant="normal" data-semantic-type="prefixop" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="3" data-semantic-parent="6">∂
                  <!-- ∂ -->
                </mi>
                <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="5" data-semantic-parent="6" data-semantic-added="true" data-semantic-operator="appl">⁡</mo>
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="4" data-semantic-parent="6">f</mi>
              </mrow>
              <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="10" data-semantic-children="7,8" data-semantic-content="9" data-semantic-parent="11">
                <mi mathvariant="normal" data-semantic-type="prefixop" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="7" data-semantic-parent="10">∂
                  <!-- ∂ -->
                </mi>
                <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="9" data-semantic-parent="10" data-semantic-added="true" data-semantic-operator="appl">⁡</mo>
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="8" data-semantic-parent="10">x</mi>
              </mrow>
            </mfrac>
          </mrow>
          <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="36" data-semantic-parent="38" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="12" data-semantic-parent="38">d</mi>
          <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="37" data-semantic-parent="38" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="13" data-semantic-parent="38">x</mi>
        </mrow>
        <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="14" data-semantic-parent="42" data-semantic-operator="infixop,+">+</mo>
        <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="41" data-semantic-children="23,24,25" data-semantic-content="39,40" data-semantic-parent="42">
          <mrow class="MJX-TeXAtom-ORD">
            <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="23" data-semantic-children="18,22" data-semantic-parent="41">
              <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="18" data-semantic-children="15,16" data-semantic-content="17" data-semantic-parent="23">
                <mi mathvariant="normal" data-semantic-type="prefixop" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="15" data-semantic-parent="18">∂
                  <!-- ∂ -->
                </mi>
                <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="17" data-semantic-parent="18" data-semantic-added="true" data-semantic-operator="appl">⁡</mo>
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="16" data-semantic-parent="18">f</mi>
              </mrow>
              <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="22" data-semantic-children="19,20" data-semantic-content="21" data-semantic-parent="23">
                <mi mathvariant="normal" data-semantic-type="prefixop" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="19" data-semantic-parent="22">∂
                  <!-- ∂ -->
                </mi>
                <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="21" data-semantic-parent="22" data-semantic-added="true" data-semantic-operator="appl">⁡</mo>
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="20" data-semantic-parent="22">y</mi>
              </mrow>
            </mfrac>
          </mrow>
          <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="39" data-semantic-parent="41" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="24" data-semantic-parent="41">d</mi>
          <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="40" data-semantic-parent="41" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="25" data-semantic-parent="41">y</mi>
        </mrow>
      </mrow>
      <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="26" data-semantic-parent="50" data-semantic-operator="relseq,=">=</mo>
      <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="49" data-semantic-children="45,48" data-semantic-content="30" data-semantic-parent="50">
        <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="45" data-semantic-children="27,28,29" data-semantic-content="43,44" data-semantic-parent="49">
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="27" data-semantic-parent="45">p</mi>
          <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="43" data-semantic-parent="45" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="28" data-semantic-parent="45">d</mi>
          <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="44" data-semantic-parent="45" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="29" data-semantic-parent="45">x</mi>
        </mrow>
        <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="30" data-semantic-parent="49" data-semantic-operator="infixop,+">+</mo>
        <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="48" data-semantic-children="31,32,33" data-semantic-content="46,47" data-semantic-parent="49">
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="31" data-semantic-parent="48">v</mi>
          <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="46" data-semantic-parent="48" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="32" data-semantic-parent="48">d</mi>
          <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="47" data-semantic-parent="48" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="33" data-semantic-parent="48">y</mi>
        </mrow>
      </mrow>
    </mrow>
    <annotation encoding="application/x-tex">df={\partial f \over \partial x}dx+{\partial f \over \partial y}dy=pdx+vdy</annotation>
  </semantics>
</math>