ag-gipp/GoUldI

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data/mathoid/290.mml

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<math 
  xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="g left-parenthesis x right-parenthesis equals StartFraction 1 Over left-parenthesis 1 plus normal e normal x normal p left-parenthesis negative x right-parenthesis right-parenthesis EndFraction">
  <semantics>
    <mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="30" data-semantic-children="29,26" data-semantic-content="4">
      <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="29" data-semantic-children="0,27" data-semantic-content="28,0" data-semantic-parent="30">
        <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="29" data-semantic-operator="appl">g</mi>
        <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="28" data-semantic-parent="29" data-semantic-added="true" data-semantic-operator="appl">⁡</mo>
        <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="27" data-semantic-children="2" data-semantic-content="1,3" data-semantic-parent="29">
          <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="1" data-semantic-parent="27" data-semantic-operator="fenced">(</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="27">x</mi>
          <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="3" data-semantic-parent="27" data-semantic-operator="fenced">)</mo>
        </mrow>
      </mrow>
      <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="4" data-semantic-parent="30" data-semantic-operator="relseq,=">=</mo>
      <mrow class="MJX-TeXAtom-ORD">
        <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="26" data-semantic-children="5,25" data-semantic-parent="30">
          <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="5" data-semantic-parent="26">1</mn>
          <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="25" data-semantic-children="24" data-semantic-content="6,19" data-semantic-parent="26">
            <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="6" data-semantic-parent="25" data-semantic-operator="fenced">(</mo>
            <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="24" data-semantic-children="7,23" data-semantic-content="8" data-semantic-parent="25">
              <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="7" data-semantic-parent="24">1</mn>
              <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="8" data-semantic-parent="24" data-semantic-operator="infixop,+">+</mo>
              <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="23" data-semantic-children="14,21" data-semantic-content="22" data-semantic-parent="24">
                <mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="14" data-semantic-children="9,10,11" data-semantic-content="12,13" data-semantic-parent="23">
                  <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="9" data-semantic-parent="14">e</mi>
                  <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="12" data-semantic-parent="14" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
                  <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="10" data-semantic-parent="14">x</mi>
                  <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="13" data-semantic-parent="14" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
                  <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="11" data-semantic-parent="14">p</mi>
                </mrow>
                <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>
                <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="21" data-semantic-children="20" data-semantic-content="15,18" data-semantic-parent="23">
                  <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="15" data-semantic-parent="21" data-semantic-operator="fenced">(</mo>
                  <mrow data-semantic-type="prefixop" data-semantic-role="negative" data-semantic-id="20" data-semantic-children="17" data-semantic-content="16" data-semantic-parent="21">
                    <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="16" data-semantic-parent="20" data-semantic-operator="prefixop,−">−
                      <!-- − -->
                    </mo>
                    <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="17" data-semantic-parent="20">x</mi>
                  </mrow>
                  <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="18" data-semantic-parent="21" data-semantic-operator="fenced">)</mo>
                </mrow>
              </mrow>
            </mrow>
            <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="19" data-semantic-parent="25" data-semantic-operator="fenced">)</mo>
          </mrow>
        </mfrac>
      </mrow>
    </mrow>
    <annotation encoding="application/x-tex">g(x)={\frac {1}{(1+\mathrm {exp} (-x))}}</annotation>
  </semantics>
</math>