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 S Subscript upper E upper H Baseline equals StartFraction 1 Over upper G 3 EndFraction integral d cubed x StartRoot minus g Superscript left-parenthesis 3 right-parenthesis Baseline EndRoot left-parenthesis upper R Superscript left-parenthesis 3 right-parenthesis Baseline plus script upper L Subscript matter Baseline right-parenthesis">
<semantics>
<mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="48" data-semantic-children="5,47" data-semantic-content="6">
<msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="5" data-semantic-children="0,4" data-semantic-parent="48">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="5">S</mi>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="4" data-semantic-children="1,2" data-semantic-content="3" data-semantic-parent="5">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="4">E</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="3" data-semantic-parent="4" 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="2" data-semantic-parent="4">H</mi>
</mrow>
</msub>
<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="6" data-semantic-parent="48" data-semantic-operator="relseq,=">=</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="47" data-semantic-children="11,45" data-semantic-content="46" data-semantic-parent="48">
<mrow class="MJX-TeXAtom-ORD">
<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="11" data-semantic-children="7,10" data-semantic-parent="47">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="7" data-semantic-parent="11">1</mn>
<msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="10" data-semantic-children="8,9" data-semantic-parent="11">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="8" data-semantic-parent="10">G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="9" data-semantic-parent="10">3</mn>
</mrow>
</msub>
</mfrac>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="46" data-semantic-parent="47" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="integral" data-semantic-role="integral" data-semantic-id="45" data-semantic-children="12,43,44" data-semantic-content="12" data-semantic-parent="47">
<mo data-semantic-type="largeop" data-semantic-role="integral" data-semantic-id="12" data-semantic-parent="45" data-semantic-operator="integral">∫
<!-- ∫ -->
</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="43" data-semantic-children="15,16,25,39" data-semantic-content="40,41,42" data-semantic-parent="45">
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="15" data-semantic-children="13,14" data-semantic-parent="43">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="13" data-semantic-parent="15">d</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="14" data-semantic-parent="15">3</mn>
</mrow>
</msup>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="40" data-semantic-parent="43" 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="16" data-semantic-parent="43">x</mi>
<mspace width="thinmathspace"/>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="41" data-semantic-parent="43" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow class="MJX-TeXAtom-ORD">
<msqrt data-semantic-type="sqrt" data-semantic-role="unknown" data-semantic-id="25" data-semantic-children="24" data-semantic-parent="43">
<mrow data-semantic-type="prefixop" data-semantic-role="negative" data-semantic-id="24" data-semantic-children="23" data-semantic-content="17" data-semantic-parent="25">
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="17" data-semantic-parent="24" data-semantic-operator="prefixop,−">−
<!-- − -->
</mo>
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="23" data-semantic-children="18,22" data-semantic-parent="24">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="18" data-semantic-parent="23">g</mi>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="22" data-semantic-children="20" data-semantic-content="19,21" data-semantic-parent="23">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="19" data-semantic-parent="22" data-semantic-operator="fenced">(</mo>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="20" data-semantic-parent="22">3</mn>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="21" data-semantic-parent="22" data-semantic-operator="fenced">)</mo>
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</msup>
</mrow>
</msqrt>
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<mspace width="thinmathspace"/>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="42" data-semantic-parent="43" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="39" data-semantic-children="38" data-semantic-content="26,37" data-semantic-parent="43">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="26" data-semantic-parent="39" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="38" data-semantic-children="32,36" data-semantic-content="33" data-semantic-parent="39">
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="32" data-semantic-children="27,31" data-semantic-parent="38">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="27" data-semantic-parent="32">R</mi>
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<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="28" data-semantic-parent="31" data-semantic-operator="fenced">(</mo>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="29" data-semantic-parent="31">3</mn>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="30" data-semantic-parent="31" data-semantic-operator="fenced">)</mo>
</mrow>
</msup>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="33" data-semantic-parent="38" data-semantic-operator="infixop,+">+</mo>
<msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="36" data-semantic-children="34,35" data-semantic-parent="38">
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mi class="MJX-tex-caligraphic" mathvariant="script" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="script" data-semantic-id="34" data-semantic-parent="36">L</mi>
</mrow>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mtext data-semantic-type="text" data-semantic-role="unknown" data-semantic-font="normal" data-semantic-id="35" data-semantic-parent="36">matter</mtext>
</mrow>
</msub>
</mrow>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="37" data-semantic-parent="39" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
<mrow data-semantic-type="empty" data-semantic-role="unknown" data-semantic-id="44" data-semantic-parent="45"/></mrow>
</mrow>
</mrow>
<annotation encoding="application/x-tex">S_{EH}={\frac {1}{G_{3}}}\int d^{3}x\,{\sqrt {-g^{(3)}}}\,(R^{(3)}+{\cal {L}}_{\text{matter}})</annotation>
</semantics>
</math>