mathmlben
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Visualization for goldstandard
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text/mathml
<math
xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="upper C left-parenthesis z right-parenthesis plus-or-minus i upper S left-parenthesis z right-parenthesis equals one-half left-parenthesis 1 plus-or-minus i right-parenthesis e r f zeta">
<semantics>
<mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="38" data-semantic-children="34,37" data-semantic-content="12">
<mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="34" data-semantic-children="31,33" data-semantic-content="5" data-semantic-parent="38">
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="31" data-semantic-children="0,4" data-semantic-content="30,0" data-semantic-parent="34">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="31" data-semantic-operator="appl">C</mi>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="30" data-semantic-parent="31" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="4" data-semantic-children="2" data-semantic-content="1,3" data-semantic-parent="31">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="1" data-semantic-parent="4" 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="4">z</mi>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="3" data-semantic-parent="4" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="5" data-semantic-parent="34" data-semantic-operator="infixop,±">±
<!-- ± -->
</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="33" data-semantic-children="6,29" data-semantic-content="32" data-semantic-parent="34">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="6" data-semantic-parent="33">i</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="32" data-semantic-parent="33" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="29" data-semantic-children="7,11" data-semantic-content="28,7" data-semantic-parent="33">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="29" data-semantic-operator="appl">S</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="11" data-semantic-children="9" data-semantic-content="8,10" data-semantic-parent="29">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="8" data-semantic-parent="11" data-semantic-operator="fenced">(</mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="9" data-semantic-parent="11">z</mi>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="10" data-semantic-parent="11" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
</mrow>
</mrow>
<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="12" data-semantic-parent="38" data-semantic-operator="relseq,=">=</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="37" data-semantic-children="15,25,27" data-semantic-content="35,36" data-semantic-parent="38">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac data-semantic-type="fraction" data-semantic-role="vulgar" data-semantic-id="15" data-semantic-children="13,14" data-semantic-parent="37">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="13" data-semantic-parent="15">1</mn>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="14" data-semantic-parent="15">2</mn>
</mfrac>
</mstyle>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="35" data-semantic-parent="37" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="25" data-semantic-children="24" data-semantic-content="16,20" data-semantic-parent="37">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="16" 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="17,19" data-semantic-content="18" data-semantic-parent="25">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="17" data-semantic-parent="24">1</mn>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="18" data-semantic-parent="24" data-semantic-operator="infixop,±">±
<!-- ± -->
</mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="19" data-semantic-parent="24">i</mi>
</mrow>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="20" data-semantic-parent="25" data-semantic-operator="fenced">)</mo>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="36" data-semantic-parent="37" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="27" data-semantic-children="21,23" data-semantic-content="26,21" data-semantic-parent="37">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="normal" data-semantic-id="21" data-semantic-parent="27" data-semantic-operator="appl">erf</mi>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="26" data-semantic-parent="27" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="23" data-semantic-parent="27">ζ
<!-- ζ -->
</mi>
</mrow>
</mrow>
</mrow>
<annotation encoding="application/x-tex">C\left(z\right)\pm iS\left(z\right)={\tfrac {1}{2}}(1\pm i)\operatorname {erf} \zeta</annotation>
</semantics>
</math>