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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="Subscript 2 Baseline upper F 1 left-parenthesis a comma b semicolon c semicolon z right-parenthesis equals sigma-summation Underscript n equals 0 Overscript normal infinity Endscripts StartFraction left-parenthesis a right-parenthesis Subscript n Baseline left-parenthesis b right-parenthesis Subscript n Baseline Over left-parenthesis c right-parenthesis Subscript n Baseline EndFraction StartFraction z Superscript n Baseline Over n factorial EndFraction"> <semantics> <mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="60" data-semantic-children="59,55" data-semantic-content="15"> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="59" data-semantic-children="2,57" data-semantic-content="58" data-semantic-parent="60"> <msub data-semantic-type="subscript" data-semantic-role="unknown" data-semantic-id="2" data-semantic-children="0,1" data-semantic-parent="59"> <mrow class="MJX-TeXAtom-ORD" data-semantic-type="empty" data-semantic-role="unknown" data-semantic-id="0" data-semantic-parent="2"/> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="1" data-semantic-parent="2">2</mn> </mrow> </msub> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="58" data-semantic-parent="59" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="57" data-semantic-children="5,52" data-semantic-content="56,3" data-semantic-parent="59"> <msub data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-id="5" data-semantic-children="3,4" data-semantic-parent="57"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="3" data-semantic-parent="5" data-semantic-operator="appl">F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="4" data-semantic-parent="5">1</mn> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="56" data-semantic-parent="57" data-semantic-added="true" data-semantic-operator="appl"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="52" data-semantic-children="51" data-semantic-content="6,14" data-semantic-parent="57"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="6" data-semantic-parent="52" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="51" data-semantic-children="7,8,9,10,11,12,13" data-semantic-content="8,10,12" data-semantic-parent="52"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="51">a</mi> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="8" data-semantic-parent="51" data-semantic-operator="punctuated">,</mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="9" data-semantic-parent="51">b</mi> <mo data-semantic-type="punctuation" data-semantic-role="unknown" data-semantic-id="10" data-semantic-parent="51" data-semantic-operator="punctuated">;</mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="11" data-semantic-parent="51">c</mi> <mo data-semantic-type="punctuation" data-semantic-role="unknown" data-semantic-id="12" data-semantic-parent="51" data-semantic-operator="punctuated">;</mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="13" data-semantic-parent="51">z</mi> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="14" data-semantic-parent="52" data-semantic-operator="fenced">)</mo> </mrow> </mrow> </mrow> <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="15" data-semantic-parent="60" data-semantic-operator="relseq,=">=</mo> <mrow data-semantic-type="bigop" data-semantic-role="sum" data-semantic-id="55" data-semantic-children="22,54" data-semantic-content="16" data-semantic-parent="60"> <munderover data-semantic-type="limboth" data-semantic-role="sum" data-semantic-id="22" data-semantic-children="16,20,21" data-semantic-parent="55"> <mo data-semantic-type="largeop" data-semantic-role="sum" data-semantic-id="16" data-semantic-parent="22" data-semantic-operator="bigop"><!-- ∑ --> </mo> <mrow class="MJX-TeXAtom-ORD" data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="20" data-semantic-children="17,19" data-semantic-content="18" data-semantic-parent="22"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="17" data-semantic-parent="20">n</mi> <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="18" data-semantic-parent="20" data-semantic-operator="relseq,=">=</mo> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="19" data-semantic-parent="20">0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="unknown" data-semantic-font="normal" data-semantic-id="21" data-semantic-parent="22"><!-- ∞ --> </mi> </mrow> </munderover> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="54" data-semantic-children="43,50" data-semantic-content="53" data-semantic-parent="55"> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="43" data-semantic-children="36,41" data-semantic-parent="54"> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="36" data-semantic-children="27,32" data-semantic-content="35" data-semantic-parent="43"> <msub data-semantic-type="subscript" data-semantic-role="leftright" data-semantic-id="27" data-semantic-children="33,26" data-semantic-parent="36" data-semantic-fencepointer="25"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="33" data-semantic-children="24" data-semantic-content="23,25" data-semantic-parent="27"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="23" data-semantic-parent="33">(</mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="24" data-semantic-parent="33">a</mi> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="25" data-semantic-parent="33">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="26" data-semantic-parent="27">n</mi> </mrow> </msub> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="35" data-semantic-parent="36" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <msub data-semantic-type="subscript" data-semantic-role="leftright" data-semantic-id="32" data-semantic-children="34,31" data-semantic-parent="36" data-semantic-fencepointer="30"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="34" data-semantic-children="29" data-semantic-content="28,30" data-semantic-parent="32"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="28" data-semantic-parent="34">(</mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="29" data-semantic-parent="34">b</mi> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="30" data-semantic-parent="34">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="31" data-semantic-parent="32">n</mi> </mrow> </msub> </mrow> <mrow> <msub data-semantic-type="subscript" data-semantic-role="leftright" data-semantic-id="41" data-semantic-children="42,40" data-semantic-parent="43" data-semantic-fencepointer="39"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="42" data-semantic-children="38" data-semantic-content="37,39" data-semantic-parent="41"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="37" data-semantic-parent="42">(</mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="38" data-semantic-parent="42">c</mi> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="39" data-semantic-parent="42">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="40" data-semantic-parent="41">n</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="53" data-semantic-parent="54" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="50" data-semantic-children="46,49" data-semantic-parent="54"> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="46" data-semantic-children="44,45" data-semantic-parent="50"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="44" data-semantic-parent="46">z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="45" data-semantic-parent="46">n</mi> </mrow> </msup> <mrow data-semantic-type="punctuated" data-semantic-role="endpunct" data-semantic-id="49" data-semantic-children="47,48" data-semantic-content="48" data-semantic-parent="50"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="47" data-semantic-parent="49">n</mi> <mo data-semantic-type="punctuation" data-semantic-role="unknown" data-semantic-id="48" data-semantic-parent="49" data-semantic-operator="punctuated">!</mo> </mrow> </mfrac> </mrow> </mrow> </mrow> </mrow> <annotation encoding="application/x-tex">{}_{2}F_{1}(a,b;c;z)=\sum _{n=0}^{\infty }{\frac {(a)_{n}(b)_{n}}{(c)_{n}}}{\frac {z^{n}}{n!}}</annotation> </semantics> </math>