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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="left-parenthesis nabla Subscript upper Y Baseline upper T right-parenthesis left-parenthesis alpha 1 comma alpha 2 comma ellipsis comma upper X 1 comma upper X 2 comma ellipsis right-parenthesis equals upper Y left-parenthesis upper T left-parenthesis alpha 1 comma alpha 2 comma ellipsis comma upper X 1 comma upper X 2 comma ellipsis right-parenthesis right-parenthesis"> <semantics> <mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="67" data-semantic-children="66,64" data-semantic-content="27"> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="66" data-semantic-children="55,57" data-semantic-content="65" data-semantic-parent="67"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="55" data-semantic-children="54" data-semantic-content="0,5" data-semantic-parent="66"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="0" data-semantic-parent="55" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="54" data-semantic-children="3,4" data-semantic-content="53" data-semantic-parent="55"> <msub data-semantic-type="subscript" data-semantic-role="prefix function" data-semantic-id="3" data-semantic-children="1,2" data-semantic-parent="54"> <mi mathvariant="normal" data-semantic-type="prefixop" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="1" data-semantic-parent="3"><!-- ∇ --> </mi> <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="3">Y</mi> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="53" data-semantic-parent="54" 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="54">T</mi> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="5" data-semantic-parent="55" data-semantic-operator="fenced">)</mo> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="65" data-semantic-parent="66" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="57" data-semantic-children="56" data-semantic-content="6,26" data-semantic-parent="66"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="6" data-semantic-parent="57" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="56" data-semantic-children="9,10,13,14,15,16,19,20,23,24,25" data-semantic-content="10,14,16,20,24" data-semantic-parent="57"> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="9" data-semantic-children="7,8" data-semantic-parent="56"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="9">α <!-- α --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="8" data-semantic-parent="9">1</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="10" data-semantic-parent="56" data-semantic-operator="punctuated">,</mo> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="13" data-semantic-children="11,12" data-semantic-parent="56"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="11" data-semantic-parent="13">α <!-- α --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="12" data-semantic-parent="13">2</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="14" data-semantic-parent="56" data-semantic-operator="punctuated">,</mo> <mo data-semantic-type="punctuation" data-semantic-role="ellipsis" data-semantic-id="15" data-semantic-parent="56"><!-- … --> </mo> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="16" data-semantic-parent="56" data-semantic-operator="punctuated">,</mo> <msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="19" data-semantic-children="17,18" data-semantic-parent="56"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="17" data-semantic-parent="19">X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="18" data-semantic-parent="19">1</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="20" data-semantic-parent="56" data-semantic-operator="punctuated">,</mo> <msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="23" data-semantic-children="21,22" data-semantic-parent="56"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="21" data-semantic-parent="23">X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="22" data-semantic-parent="23">2</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="24" data-semantic-parent="56" data-semantic-operator="punctuated">,</mo> <mo data-semantic-type="punctuation" data-semantic-role="ellipsis" data-semantic-id="25" data-semantic-parent="56"><!-- … --> </mo> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="26" data-semantic-parent="57" data-semantic-operator="fenced">)</mo> </mrow> </mrow> <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="27" data-semantic-parent="67" data-semantic-operator="relseq,=">=</mo> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="64" data-semantic-children="28,62" data-semantic-content="63,28" data-semantic-parent="67"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="28" data-semantic-parent="64" data-semantic-operator="appl">Y</mi> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="63" data-semantic-parent="64" data-semantic-added="true" data-semantic-operator="appl"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="62" data-semantic-children="61" data-semantic-content="29,52" data-semantic-parent="64"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="29" data-semantic-parent="62" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="61" data-semantic-children="30,59" data-semantic-content="60,30" data-semantic-parent="62"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="30" data-semantic-parent="61" data-semantic-operator="appl">T</mi> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="60" data-semantic-parent="61" data-semantic-added="true" data-semantic-operator="appl"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="59" data-semantic-children="58" data-semantic-content="31,51" data-semantic-parent="61"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="31" data-semantic-parent="59" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="58" data-semantic-children="34,35,38,39,40,41,44,45,48,49,50" data-semantic-content="35,39,41,45,49" data-semantic-parent="59"> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="34" data-semantic-children="32,33" data-semantic-parent="58"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="32" data-semantic-parent="34">α <!-- α --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="33" data-semantic-parent="34">1</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="35" data-semantic-parent="58" data-semantic-operator="punctuated">,</mo> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="38" data-semantic-children="36,37" data-semantic-parent="58"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="36" data-semantic-parent="38">α <!-- α --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="37" data-semantic-parent="38">2</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="39" data-semantic-parent="58" data-semantic-operator="punctuated">,</mo> <mo data-semantic-type="punctuation" data-semantic-role="ellipsis" data-semantic-id="40" data-semantic-parent="58"><!-- … --> </mo> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="41" data-semantic-parent="58" data-semantic-operator="punctuated">,</mo> <msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="44" data-semantic-children="42,43" data-semantic-parent="58"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="42" data-semantic-parent="44">X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="43" data-semantic-parent="44">1</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="45" data-semantic-parent="58" data-semantic-operator="punctuated">,</mo> <msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="48" data-semantic-children="46,47" data-semantic-parent="58"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="46" data-semantic-parent="48">X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="47" data-semantic-parent="48">2</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="49" data-semantic-parent="58" data-semantic-operator="punctuated">,</mo> <mo data-semantic-type="punctuation" data-semantic-role="ellipsis" data-semantic-id="50" data-semantic-parent="58"><!-- … --> </mo> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="51" data-semantic-parent="59" data-semantic-operator="fenced">)</mo> </mrow> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="52" data-semantic-parent="62" data-semantic-operator="fenced">)</mo> </mrow> </mrow> </mrow> <annotation encoding="application/x-tex">(\nabla _{Y}T)(\alpha _{1},\alpha _{2},\ldots ,X_{1},X_{2},\ldots )=Y(T(\alpha _{1},\alpha _{2},\ldots ,X_{1},X_{2},\ldots ))</annotation> </semantics> </math>