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mathmlben

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Visualization for goldstandard

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<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="upper K Subscript asterisk Superscript upper M Baseline left-parenthesis k right-parenthesis colon equals upper T Superscript asterisk Baseline left-parenthesis k Superscript times Baseline right-parenthesis slash left-parenthesis a circled-times left-parenthesis 1 minus a right-parenthesis right-parenthesis"> <semantics> <mrow data-semantic-type="infixop" data-semantic-role="division" data-semantic-id="38" data-semantic-children="37,32" data-semantic-content="17"> <mrow data-semantic-type="infixop" data-semantic-role="unknown" data-semantic-id="37" data-semantic-children="36,34" data-semantic-content="8" data-semantic-parent="38"> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="36" data-semantic-children="4,27" data-semantic-content="35,0" data-semantic-parent="37"> <msubsup data-semantic-type="subsup" data-semantic-role="simple function" data-semantic-id="4" data-semantic-children="0,1,2" data-semantic-parent="36" data-semantic-collapsed="(4 (3 0 1) 2)"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="4" data-semantic-operator="appl">K</mi> <mrow class="MJX-TeXAtom-ORD"> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="1" data-semantic-parent="4"><!-- ∗ --> </mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="4">M</mi> </mrow> </msubsup> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="35" data-semantic-parent="36" 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="6" data-semantic-content="5,7" data-semantic-parent="36"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="5" 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="6" data-semantic-parent="27">k</mi> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="7" data-semantic-parent="27" data-semantic-operator="fenced">)</mo> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="unknown" data-semantic-id="8" data-semantic-parent="37" data-semantic-operator="infixop,:=">:=</mo> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="34" data-semantic-children="11,28" data-semantic-content="33,9" data-semantic-parent="37"> <msup data-semantic-type="superscript" data-semantic-role="simple function" data-semantic-id="11" data-semantic-children="9,10" data-semantic-parent="34"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="9" data-semantic-parent="11" data-semantic-operator="appl">T</mi> <mrow class="MJX-TeXAtom-ORD"> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="10" data-semantic-parent="11"><!-- ∗ --> </mo> </mrow> </msup> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="33" data-semantic-parent="34" data-semantic-added="true" data-semantic-operator="appl"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="28" data-semantic-children="15" data-semantic-content="12,16" data-semantic-parent="34"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="12" data-semantic-parent="28" data-semantic-operator="fenced">(</mo> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="15" data-semantic-children="13,14" data-semantic-parent="28"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="13" data-semantic-parent="15">k</mi> <mrow class="MJX-TeXAtom-ORD"> <mo data-semantic-type="operator" data-semantic-role="unknown" data-semantic-id="14" data-semantic-parent="15">× <!-- × --> </mo> </mrow> </msup> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="16" data-semantic-parent="28" data-semantic-operator="fenced">)</mo> </mrow> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo data-semantic-type="operator" data-semantic-role="division" data-semantic-id="17" data-semantic-parent="38" data-semantic-operator="infixop,/">/</mo> </mrow> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="32" data-semantic-children="31" data-semantic-content="18,26" data-semantic-parent="38"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="18" data-semantic-parent="32" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="infixop" data-semantic-role="unknown" data-semantic-id="31" data-semantic-children="19,30" data-semantic-content="20" data-semantic-parent="32"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="19" data-semantic-parent="31">a</mi> <mo data-semantic-type="operator" data-semantic-role="unknown" data-semantic-id="20" data-semantic-parent="31" data-semantic-operator="infixop,⊗"><!-- ⊗ --> </mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="30" data-semantic-children="29" data-semantic-content="21,25" data-semantic-parent="31"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="21" data-semantic-parent="30" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="29" data-semantic-children="22,24" data-semantic-content="23" data-semantic-parent="30"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="22" data-semantic-parent="29">1</mn> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="23" data-semantic-parent="29" 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="29">a</mi> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="25" data-semantic-parent="30" data-semantic-operator="fenced">)</mo> </mrow> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="26" data-semantic-parent="32" data-semantic-operator="fenced">)</mo> </mrow> </mrow> <annotation encoding="application/x-tex">K_{*}^{M}(k):=T^{*}(k^{\times })/(a\otimes (1-a))</annotation> </semantics> </math>