UNPKG

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 x minus y right-parenthesis squared upper U equals left-parenthesis StartRoot x Superscript 4 Baseline plus a Superscript 4 Baseline EndRoot plus StartRoot y Superscript 4 Baseline plus a Superscript 4 Baseline EndRoot right-parenthesis squared minus left-parenthesis x squared minus y squared right-parenthesis squared"> <semantics> <mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="53" data-semantic-children="51,52" data-semantic-content="8"> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="51" data-semantic-children="6,7" data-semantic-content="50" data-semantic-parent="53"> <msup data-semantic-type="superscript" data-semantic-role="leftright" data-semantic-id="6" data-semantic-children="47,5" data-semantic-parent="51" data-semantic-fencepointer="4"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="47" data-semantic-children="46" data-semantic-content="0,4" data-semantic-parent="6"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="0" data-semantic-parent="47">(</mo> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="46" data-semantic-children="1,3" data-semantic-content="2" data-semantic-parent="47"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="46">x</mi> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="2" data-semantic-parent="46" data-semantic-operator="infixop,−"><!-- − --> </mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="3" data-semantic-parent="46">y</mi> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="4" data-semantic-parent="47">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="5" data-semantic-parent="6">2</mn> </mrow> </msup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="50" data-semantic-parent="51" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="51">U</mi> </mrow> <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="8" data-semantic-parent="53" data-semantic-operator="relseq,=">=</mo> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="52" data-semantic-children="33,45" data-semantic-content="34" data-semantic-parent="53"> <msup data-semantic-type="superscript" data-semantic-role="leftright" data-semantic-id="33" data-semantic-children="31,32" data-semantic-parent="52"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="31" data-semantic-children="29" data-semantic-content="9,30" data-semantic-parent="33"> <mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="9" data-semantic-parent="31" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="29" data-semantic-children="18,28" data-semantic-content="19" data-semantic-parent="31"> <mrow class="MJX-TeXAtom-ORD"> <msqrt data-semantic-type="sqrt" data-semantic-role="unknown" data-semantic-id="18" data-semantic-children="17" data-semantic-parent="29"> <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="17" data-semantic-children="12,16" data-semantic-content="13" data-semantic-parent="18"> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="12" data-semantic-children="10,11" data-semantic-parent="17"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="10" data-semantic-parent="12">x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="11" data-semantic-parent="12">4</mn> </mrow> </msup> <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="13" data-semantic-parent="17" data-semantic-operator="infixop,+">+</mo> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="16" data-semantic-children="14,15" data-semantic-parent="17"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="14" data-semantic-parent="16">a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="15" data-semantic-parent="16">4</mn> </mrow> </msup> </mrow> </msqrt> </mrow> <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="19" data-semantic-parent="29" data-semantic-operator="infixop,+">+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt data-semantic-type="sqrt" data-semantic-role="unknown" data-semantic-id="28" data-semantic-children="27" data-semantic-parent="29"> <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="27" data-semantic-children="22,26" data-semantic-content="23" data-semantic-parent="28"> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="22" data-semantic-children="20,21" data-semantic-parent="27"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="20" data-semantic-parent="22">y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="21" data-semantic-parent="22">4</mn> </mrow> </msup> <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="23" data-semantic-parent="27" data-semantic-operator="infixop,+">+</mo> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="26" data-semantic-children="24,25" data-semantic-parent="27"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="24" data-semantic-parent="26">a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="25" data-semantic-parent="26">4</mn> </mrow> </msup> </mrow> </msqrt> </mrow> </mrow> <mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="30" data-semantic-parent="31" data-semantic-operator="fenced">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="32" data-semantic-parent="33">2</mn> </mrow> </msup> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="34" data-semantic-parent="52" data-semantic-operator="infixop,−"><!-- − --> </mo> <msup data-semantic-type="superscript" data-semantic-role="leftright" data-semantic-id="45" data-semantic-children="49,44" data-semantic-parent="52" data-semantic-fencepointer="43"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="49" data-semantic-children="48" data-semantic-content="35,43" data-semantic-parent="45"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="35" data-semantic-parent="49">(</mo> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="48" data-semantic-children="38,42" data-semantic-content="39" data-semantic-parent="49"> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="38" data-semantic-children="36,37" data-semantic-parent="48"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="36" data-semantic-parent="38">x</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> </msup> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="39" data-semantic-parent="48" data-semantic-operator="infixop,−"><!-- − --> </mo> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="42" data-semantic-children="40,41" data-semantic-parent="48"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="40" data-semantic-parent="42">y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="41" data-semantic-parent="42">2</mn> </mrow> </msup> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="43" data-semantic-parent="49">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="44" data-semantic-parent="45">2</mn> </mrow> </msup> </mrow> </mrow> <annotation encoding="application/x-tex">(x-y)^{2}U=\left({\sqrt {x^{4}+a^{4}}}+{\sqrt {y^{4}+a^{4}}}\right)^{2}-(x^{2}-y^{2})^{2}</annotation> </semantics> </math>