data/mathoid/240.mml
<math
xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="StartFraction d upper P Over d t EndFraction equals r upper P dot left-parenthesis 1 minus StartFraction upper P Over upper K EndFraction right-parenthesis">
<semantics>
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<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="8" data-semantic-children="3,7" data-semantic-parent="25">
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="3" data-semantic-children="0,1" data-semantic-content="2" data-semantic-parent="8">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="3">d</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="2" data-semantic-parent="3" 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="3">P</mi>
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<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="7" data-semantic-children="4,5" data-semantic-content="6" data-semantic-parent="8">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="4" data-semantic-parent="7">d</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="6" data-semantic-parent="7" 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="5" data-semantic-parent="7">t</mi>
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</mfrac>
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<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="9" data-semantic-parent="25" data-semantic-operator="relseq,=">=</mo>
<mrow data-semantic-type="infixop" data-semantic-role="multiplication" data-semantic-id="24" data-semantic-children="23,21" data-semantic-content="12" data-semantic-parent="25">
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="23" data-semantic-children="10,11" data-semantic-content="22" data-semantic-parent="24">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="10" data-semantic-parent="23">r</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="22" data-semantic-parent="23" 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="11" data-semantic-parent="23">P</mi>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="12" data-semantic-parent="24" data-semantic-operator="infixop,⋅">⋅
<!-- ⋅ -->
</mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="21" data-semantic-children="19" data-semantic-content="13,20" data-semantic-parent="24">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="13" data-semantic-parent="21" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="19" data-semantic-children="14,18" data-semantic-content="15" data-semantic-parent="21">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="14" data-semantic-parent="19">1</mn>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="15" data-semantic-parent="19" data-semantic-operator="infixop,−">−
<!-- − -->
</mo>
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<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="18" data-semantic-children="16,17" data-semantic-parent="19">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="16" data-semantic-parent="18">P</mi>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="17" data-semantic-parent="18">K</mi>
</mfrac>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="20" data-semantic-parent="21" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
</mrow>
<annotation encoding="application/x-tex">{\frac {dP}{dt}}=rP\cdot \left(1-{\frac {P}{K}}\right)</annotation>
</semantics>
</math>