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="upper H Subscript normal upper G Superscript normal p normal h normal e normal n Baseline left-bracket upper N right-bracket equals StartFraction 1 Over 16 pi upper G EndFraction integral Underscript normal upper Sigma Endscripts normal d cubed x upper N overbar left-bracket minus 6 StartRoot p overbar EndRoot left-parenthesis StartFraction sine mu overbar gamma k overbar Over mu overbar gamma EndFraction right-parenthesis squared minus StartFraction 1 Over 2 p overbar Superscript 3 slash 2 Baseline EndFraction left-parenthesis StartFraction sine mu overbar gamma k overbar Over mu overbar gamma EndFraction right-parenthesis squared left-parenthesis delta upper E Subscript j Superscript c Baseline delta upper E Subscript k Superscript d Baseline delta Subscript c Superscript k Baseline delta Subscript d Superscript j Baseline right-parenthesis plus StartRoot p overbar EndRoot left-parenthesis delta upper K Subscript c Superscript j Baseline delta upper K Subscript d Superscript k Baseline delta Subscript k Superscript c Baseline delta Subscript j Superscript d Baseline right-parenthesis minus StartFraction 2 Over StartRoot p overbar EndRoot EndFraction left-parenthesis StartFraction sine m mu overbar gamma k overbar Over m mu overbar gamma EndFraction right-parenthesis left-parenthesis delta upper E Subscript j Superscript c Baseline delta upper K Subscript c Superscript j Baseline right-parenthesis plus StartFraction 1 Over p overbar Superscript 3 slash 2 Baseline EndFraction left-parenthesis delta Subscript c d Baseline delta Superscript j k Baseline delta Superscript e f Baseline partial-differential Subscript e Baseline upper E Subscript j Superscript c Baseline partial-differential Subscript f Baseline upper E Subscript k Superscript d Baseline right-parenthesis right-bracket"> <semantics> <mrow> <mrow data-semantic-type="punctuated" data-semantic-role="text" data-semantic-id="320" data-semantic-children="318,306" data-semantic-content="319"> <mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="318" data-semantic-children="315,317" data-semantic-content="15" data-semantic-parent="320"> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="315" data-semantic-children="11,307" data-semantic-content="314,0" data-semantic-parent="318"> <msubsup data-semantic-type="subsup" data-semantic-role="simple function" data-semantic-id="11" data-semantic-children="0,1,9" data-semantic-parent="315" data-semantic-collapsed="(11 (10 0 1) 9)"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="11" data-semantic-operator="appl">H</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="1" data-semantic-parent="11">G</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD" data-semantic-parent="11"> <mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="9" data-semantic-children="2,3,4,5" data-semantic-content="6,7,8" data-semantic-parent="11"> <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="2" data-semantic-parent="9">p</mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="6" data-semantic-parent="9" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="3" data-semantic-parent="9">h</mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="7" data-semantic-parent="9" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="4" data-semantic-parent="9">e</mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="8" data-semantic-parent="9" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="5" data-semantic-parent="9">n</mi> </mrow> </mrow> </msubsup> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="314" data-semantic-parent="315" data-semantic-added="true" data-semantic-operator="appl">⁡</mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="307" data-semantic-children="13" data-semantic-content="12,14" data-semantic-parent="315"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="12" data-semantic-parent="307" data-semantic-operator="fenced">[</mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="13" data-semantic-parent="307">N</mi> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="14" data-semantic-parent="307" data-semantic-operator="fenced">]</mo> </mrow> </mrow> <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="15" data-semantic-parent="318" data-semantic-operator="relseq,=">=</mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="317" data-semantic-children="23,313" data-semantic-content="316" data-semantic-parent="318"> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="23" data-semantic-children="16,22" data-semantic-parent="317"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="16" data-semantic-parent="23">1</mn> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="22" data-semantic-children="17,18,19" data-semantic-content="20,21" data-semantic-parent="23"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="17" data-semantic-parent="22">16</mn> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="20" data-semantic-parent="22" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="18" data-semantic-parent="22">π <!-- π --> </mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="21" data-semantic-parent="22" 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="19" data-semantic-parent="22">G</mi> </mrow> </mfrac> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="316" data-semantic-parent="317" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mrow data-semantic-type="integral" data-semantic-role="integral" data-semantic-id="313" data-semantic-children="26,311,312" data-semantic-content="24" data-semantic-parent="317"> <msub data-semantic-type="limlower" data-semantic-role="integral" data-semantic-id="26" data-semantic-children="24,25" data-semantic-parent="313"> <mo data-semantic-type="largeop" data-semantic-role="integral" data-semantic-id="24" data-semantic-parent="26" data-semantic-operator="integral">∫ <!-- ∫ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="25" data-semantic-parent="26">Σ <!-- Σ --> </mi> </mrow> </msub> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="311" data-semantic-children="29,30,33,305" data-semantic-content="308,309,310" data-semantic-parent="313"> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="29" data-semantic-children="27,28" data-semantic-parent="311"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="27" data-semantic-parent="29">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="28" data-semantic-parent="29">3</mn> </mrow> </msup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="308" data-semantic-parent="311" 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="30" data-semantic-parent="311">x</mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="309" data-semantic-parent="311" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="latinletter" data-semantic-id="33" data-semantic-children="31,32" data-semantic-parent="311"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="31" data-semantic-parent="33">N</mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="32" data-semantic-parent="33">¯ <!-- ¯ --> </mo> </mover> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="310" data-semantic-parent="311" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="305" data-semantic-children="303" data-semantic-content="34,304" data-semantic-parent="311"> <mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="34" data-semantic-parent="305" data-semantic-operator="fenced">[</mo> <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="303" data-semantic-children="300,302" data-semantic-content="209" data-semantic-parent="305"> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="300" data-semantic-children="296,299" data-semantic-content="160" data-semantic-parent="303"> <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="296" data-semantic-children="293,295" data-semantic-content="131" data-semantic-parent="300"> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="293" data-semantic-children="289,292" data-semantic-content="67" data-semantic-parent="296"> <mrow data-semantic-type="prefixop" data-semantic-role="negative" data-semantic-id="289" data-semantic-children="288" data-semantic-content="35" data-semantic-parent="293"> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="35" data-semantic-parent="289" data-semantic-operator="prefixop,−">− <!-- − --> </mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="288" data-semantic-children="36,40,66" data-semantic-content="286,287" data-semantic-parent="289"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="36" data-semantic-parent="288">6</mn> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="286" data-semantic-parent="288" 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="40" data-semantic-children="39" data-semantic-parent="288"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="latinletter" data-semantic-id="39" data-semantic-children="37,38" data-semantic-parent="40"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="37" data-semantic-parent="39">p</mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="38" data-semantic-parent="39">¯ <!-- ¯ --> </mo> </mover> </mrow> </msqrt> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="287" data-semantic-parent="288" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msup data-semantic-type="superscript" data-semantic-role="leftright" data-semantic-id="66" data-semantic-children="64,65" data-semantic-parent="288"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="64" data-semantic-children="62" data-semantic-content="41,63" data-semantic-parent="66"> <mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="41" data-semantic-parent="64" data-semantic-operator="fenced">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="62" data-semantic-children="55,61" data-semantic-parent="64"> <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="55" data-semantic-children="42,53" data-semantic-content="54,42" data-semantic-parent="62"> <mi data-semantic-type="function" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="42" data-semantic-parent="55" data-semantic-operator="appl">sin</mi> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="54" data-semantic-parent="55" data-semantic-added="true" data-semantic-operator="appl">⁡</mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="53" data-semantic-children="46,47,50" data-semantic-content="51,52" data-semantic-parent="55"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="46" data-semantic-children="44,45" data-semantic-parent="53"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="44" data-semantic-parent="46">μ <!-- μ --> </mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="45" data-semantic-parent="46">¯ <!-- ¯ --> </mo> </mover> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="51" data-semantic-parent="53" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="47" data-semantic-parent="53">γ <!-- γ --> </mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="52" data-semantic-parent="53" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="latinletter" data-semantic-id="50" data-semantic-children="48,49" data-semantic-parent="53"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="48" data-semantic-parent="50">k</mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="49" data-semantic-parent="50">¯ <!-- ¯ --> </mo> </mover> </mrow> </mrow> </mrow> </mrow> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="61" data-semantic-children="58,59" data-semantic-content="60" data-semantic-parent="62"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="58" data-semantic-children="56,57" data-semantic-parent="61"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="56" data-semantic-parent="58">μ <!-- μ --> </mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="57" data-semantic-parent="58">¯ <!-- ¯ --> </mo> </mover> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="60" data-semantic-parent="61" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="59" data-semantic-parent="61">γ <!-- γ --> </mi> </mrow> </mfrac> </mrow> <mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="63" data-semantic-parent="64" 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="65" data-semantic-parent="66">2</mn> </mrow> </msup> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="67" data-semantic-parent="293" data-semantic-operator="infixop,−">− <!-- − --> </mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="292" data-semantic-children="80,106,262" data-semantic-content="290,291" data-semantic-parent="293"> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="80" data-semantic-children="68,79" data-semantic-parent="292"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="68" data-semantic-parent="80">1</mn> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="79" data-semantic-children="69,77" data-semantic-content="78" data-semantic-parent="80"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="69" data-semantic-parent="79">2</mn> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="78" data-semantic-parent="79" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="77" data-semantic-children="72,76" data-semantic-parent="79"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="latinletter" data-semantic-id="72" data-semantic-children="70,71" data-semantic-parent="77"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="70" data-semantic-parent="72">p</mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="71" data-semantic-parent="72">¯ <!-- ¯ --> </mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="division" data-semantic-id="76" data-semantic-children="73,75" data-semantic-content="74" data-semantic-parent="77"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="73" data-semantic-parent="76">3</mn> <mrow class="MJX-TeXAtom-ORD"> <mo data-semantic-type="operator" data-semantic-role="division" data-semantic-id="74" data-semantic-parent="76" data-semantic-operator="infixop,/">/</mo> </mrow> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="75" data-semantic-parent="76">2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="290" data-semantic-parent="292" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msup data-semantic-type="superscript" data-semantic-role="leftright" data-semantic-id="106" data-semantic-children="104,105" data-semantic-parent="292"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="104" data-semantic-children="102" data-semantic-content="81,103" data-semantic-parent="106"> <mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="81" data-semantic-parent="104" data-semantic-operator="fenced">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="102" data-semantic-children="95,101" data-semantic-parent="104"> <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="95" data-semantic-children="82,93" data-semantic-content="94,82" data-semantic-parent="102"> <mi data-semantic-type="function" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="82" data-semantic-parent="95" data-semantic-operator="appl">sin</mi> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="94" data-semantic-parent="95" data-semantic-added="true" data-semantic-operator="appl">⁡</mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="93" data-semantic-children="86,87,90" data-semantic-content="91,92" data-semantic-parent="95"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="86" data-semantic-children="84,85" data-semantic-parent="93"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="84" data-semantic-parent="86">μ <!-- μ --> </mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="85" data-semantic-parent="86">¯ <!-- ¯ --> </mo> </mover> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="91" data-semantic-parent="93" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="87" data-semantic-parent="93">γ <!-- γ --> </mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="92" data-semantic-parent="93" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="latinletter" data-semantic-id="90" data-semantic-children="88,89" data-semantic-parent="93"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="88" data-semantic-parent="90">k</mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="89" data-semantic-parent="90">¯ <!-- ¯ --> </mo> </mover> </mrow> </mrow> </mrow> </mrow> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="101" data-semantic-children="98,99" data-semantic-content="100" data-semantic-parent="102"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="98" data-semantic-children="96,97" data-semantic-parent="101"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="96" data-semantic-parent="98">μ <!-- μ --> </mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="97" data-semantic-parent="98">¯ <!-- ¯ --> </mo> </mover> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="100" data-semantic-parent="101" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="99" data-semantic-parent="101">γ <!-- γ --> </mi> </mrow> </mfrac> </mrow> <mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="103" data-semantic-parent="104" 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="105" data-semantic-parent="106">2</mn> </mrow> </msup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="291" data-semantic-parent="292" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="262" data-semantic-children="261" data-semantic-content="107,130" data-semantic-parent="292"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="107" data-semantic-parent="262" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="261" data-semantic-children="108,113,114,119,124,129" data-semantic-content="256,257,258,259,260" data-semantic-parent="262"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="108" data-semantic-parent="261">δ <!-- δ --> </mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="256" data-semantic-parent="261" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msubsup data-semantic-type="subsup" data-semantic-role="latinletter" data-semantic-id="113" data-semantic-children="109,110,111" data-semantic-parent="261" data-semantic-collapsed="(113 (112 109 110) 111)"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="109" data-semantic-parent="113">E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="110" data-semantic-parent="113">j</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="111" data-semantic-parent="113">c</mi> </mrow> </msubsup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="257" data-semantic-parent="261" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="114" data-semantic-parent="261">δ <!-- δ --> </mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="258" data-semantic-parent="261" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msubsup data-semantic-type="subsup" data-semantic-role="latinletter" data-semantic-id="119" data-semantic-children="115,116,117" data-semantic-parent="261" data-semantic-collapsed="(119 (118 115 116) 117)"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="115" data-semantic-parent="119">E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="116" data-semantic-parent="119">k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="117" data-semantic-parent="119">d</mi> </mrow> </msubsup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="259" data-semantic-parent="261" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msubsup data-semantic-type="subsup" data-semantic-role="greekletter" data-semantic-id="124" data-semantic-children="120,121,122" data-semantic-parent="261" data-semantic-collapsed="(124 (123 120 121) 122)"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="120" data-semantic-parent="124">δ <!-- δ --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="121" data-semantic-parent="124">c</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="122" data-semantic-parent="124">k</mi> </mrow> </msubsup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="260" data-semantic-parent="261" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msubsup data-semantic-type="subsup" data-semantic-role="greekletter" data-semantic-id="129" data-semantic-children="125,126,127" data-semantic-parent="261" data-semantic-collapsed="(129 (128 125 126) 127)"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="125" data-semantic-parent="129">δ <!-- δ --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="126" data-semantic-parent="129">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="127" data-semantic-parent="129">j</mi> </mrow> </msubsup> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="130" data-semantic-parent="262" data-semantic-operator="fenced">)</mo> </mrow> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="131" data-semantic-parent="296" data-semantic-operator="infixop,+">+</mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="295" data-semantic-children="135,269" data-semantic-content="294" data-semantic-parent="296"> <mrow class="MJX-TeXAtom-ORD"> <msqrt data-semantic-type="sqrt" data-semantic-role="unknown" data-semantic-id="135" data-semantic-children="134" data-semantic-parent="295"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="latinletter" data-semantic-id="134" data-semantic-children="132,133" data-semantic-parent="135"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="132" data-semantic-parent="134">p</mi> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="133" data-semantic-parent="134">¯ <!-- ¯ --> </mo> </mover> </mrow> </msqrt> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="294" data-semantic-parent="295" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="269" data-semantic-children="268" data-semantic-content="136,159" data-semantic-parent="295"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="136" data-semantic-parent="269" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="268" data-semantic-children="137,142,143,148,153,158" data-semantic-content="263,264,265,266,267" data-semantic-parent="269"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="137" data-semantic-parent="268">δ <!-- δ --> </mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="263" data-semantic-parent="268" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msubsup data-semantic-type="subsup" data-semantic-role="latinletter" data-semantic-id="142" data-semantic-children="138,139,140" data-semantic-parent="268" data-semantic-collapsed="(142 (141 138 139) 140)"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="138" data-semantic-parent="142">K</mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="139" data-semantic-parent="142">c</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="140" data-semantic-parent="142">j</mi> </mrow> </msubsup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="264" data-semantic-parent="268" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="143" data-semantic-parent="268">δ <!-- δ --> </mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="265" data-semantic-parent="268" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msubsup data-semantic-type="subsup" data-semantic-role="latinletter" data-semantic-id="148" data-semantic-children="144,145,146" data-semantic-parent="268" data-semantic-collapsed="(148 (147 144 145) 146)"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="144" data-semantic-parent="148">K</mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="145" data-semantic-parent="148">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="146" data-semantic-parent="148">k</mi> </mrow> </msubsup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="266" data-semantic-parent="268" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msubsup data-semantic-type="subsup" data-semantic-role="greekletter" data-semantic-id="153" data-semantic-children="149,150,151" data-semantic-parent="268" data-semantic-collapsed="(153 (152 149 150) 151)"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="149" data-semantic-parent="153">δ <!-- δ --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="150" data-semantic-parent="153">k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="151" data-semantic-parent="153">c</mi> </mrow> </msubsup> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="267" data-semantic-parent="268" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo> <msubsup data-semantic-type="subsup" data-semantic-role="greekletter" data-semantic-id="158" data-semantic-children="154,155,156" data-semantic-parent="268" data-semantic-collapsed="(158 (157 154 155) 156)"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="154" data-semantic-parent="158">δ <!-- δ --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="155" data-semantic-parent="158">j</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="156" data-semantic-parent="158">d</mi> </mrow> </msubsup> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="159" data-semantic-parent="269" data-semantic-operator="fenced">)</mo> </mrow> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="160" data-semantic-parent="300" data-semantic-operator="infixop,−">− <!-- − --> </mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="299" data-semantic-children="166,194,274" data-semantic-content="297,298" data-semantic-parent="300"> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="166" data-semantic-children="161,165" data-semantic-parent="299"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="161" data-semantic-parent="166">2</mn> <msqrt data-semantic-type="sqrt" data-semantic-role="unknown" data-semantic-id="165" data-semantic-children="164" data-semantic-parent="166"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="latinletter" data-semantic-