data/mathoid/264.mml
<math
xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="q left-parenthesis pi Subscript n Baseline right-parenthesis identical-to sigma-summation Underscript alpha not-equals beta Endscripts less-than ModifyingAbove upper P With caret left-parenthesis e Subscript alpha Baseline right-parenthesis ModifyingAbove upper P With caret left-parenthesis pi Subscript n Baseline right-parenthesis ModifyingAbove upper P With caret left-parenthesis e Subscript beta Baseline right-parenthesis greater-than">
<semantics>
<mrow data-semantic-type="multirel" data-semantic-role="unknown" data-semantic-id="55" data-semantic-children="50,12,53,54" data-semantic-content="6,13,38">
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="50" data-semantic-children="0,39" data-semantic-content="49,0" data-semantic-parent="55">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="50" data-semantic-operator="appl">q</mi>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="49" data-semantic-parent="50" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="39" data-semantic-children="4" data-semantic-content="1,5" data-semantic-parent="50">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="1" data-semantic-parent="39" data-semantic-operator="fenced">(</mo>
<msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="4" data-semantic-children="2,3" data-semantic-parent="39">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="4">π
<!-- π -->
</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="3" data-semantic-parent="4">n</mi>
</mrow>
</msub>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="5" data-semantic-parent="39" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="6" data-semantic-parent="55" data-semantic-operator="multirel">≡
<!-- ≡ -->
</mo>
<munder data-semantic-type="limlower" data-semantic-role="sum" data-semantic-id="12" data-semantic-children="7,11" data-semantic-parent="55">
<mo data-semantic-type="largeop" data-semantic-role="sum" data-semantic-id="7" data-semantic-parent="12">∑
<!-- ∑ -->
</mo>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="relseq" data-semantic-role="inequality" data-semantic-id="11" data-semantic-children="8,10" data-semantic-content="9" data-semantic-parent="12">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="8" data-semantic-parent="11">α
<!-- α -->
</mi>
<mo data-semantic-type="relation" data-semantic-role="inequality" data-semantic-id="9" data-semantic-parent="11" data-semantic-operator="relseq,≠">≠
<!-- ≠ -->
</mo>
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="10" data-semantic-parent="11">β
<!-- β -->
</mi>
</mrow>
</munder>
<mo data-semantic-type="relation" data-semantic-role="inequality" data-semantic-id="13" data-semantic-parent="55" data-semantic-operator="multirel"><</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="53" data-semantic-children="48,46,44" data-semantic-content="51,52" data-semantic-parent="55">
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="48" data-semantic-children="16,40" data-semantic-content="47,14" data-semantic-parent="53">
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover data-semantic-type="overscore" data-semantic-role="simple function" data-semantic-id="16" data-semantic-children="14,15" data-semantic-parent="48">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="14" data-semantic-parent="16" data-semantic-operator="appl">P</mi>
<mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="15" data-semantic-parent="16">^
<!-- ^ -->
</mo>
</mover>
</mrow>
</mrow>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="47" data-semantic-parent="48" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="40" data-semantic-children="20" data-semantic-content="17,21" data-semantic-parent="48">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="17" data-semantic-parent="40" data-semantic-operator="fenced">(</mo>
<msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="20" data-semantic-children="18,19" data-semantic-parent="40">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="18" data-semantic-parent="20">e</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="19" data-semantic-parent="20">α
<!-- α -->
</mi>
</mrow>
</msub>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="21" data-semantic-parent="40" data-semantic-operator="fenced">)</mo>
</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>
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="46" data-semantic-children="24,41" data-semantic-content="45,22" data-semantic-parent="53">
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover data-semantic-type="overscore" data-semantic-role="simple function" data-semantic-id="24" data-semantic-children="22,23" data-semantic-parent="46">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="22" data-semantic-parent="24" data-semantic-operator="appl">P</mi>
<mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="23" data-semantic-parent="24">^
<!-- ^ -->
</mo>
</mover>
</mrow>
</mrow>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="45" data-semantic-parent="46" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="41" data-semantic-children="28" data-semantic-content="25,29" data-semantic-parent="46">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="25" data-semantic-parent="41" data-semantic-operator="fenced">(</mo>
<msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="28" data-semantic-children="26,27" data-semantic-parent="41">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="26" data-semantic-parent="28">π
<!-- π -->
</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="27" data-semantic-parent="28">n</mi>
</mrow>
</msub>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="29" data-semantic-parent="41" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
<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 data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="44" data-semantic-children="32,42" data-semantic-content="43,30" data-semantic-parent="53">
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover data-semantic-type="overscore" data-semantic-role="simple function" data-semantic-id="32" data-semantic-children="30,31" data-semantic-parent="44">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="30" data-semantic-parent="32" data-semantic-operator="appl">P</mi>
<mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="31" data-semantic-parent="32">^
<!-- ^ -->
</mo>
</mover>
</mrow>
</mrow>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="43" data-semantic-parent="44" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="42" data-semantic-children="36" data-semantic-content="33,37" data-semantic-parent="44">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="33" data-semantic-parent="42" data-semantic-operator="fenced">(</mo>
<msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="36" data-semantic-children="34,35" data-semantic-parent="42">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="34" data-semantic-parent="36">e</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="35" data-semantic-parent="36">β
<!-- β -->
</mi>
</mrow>
</msub>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="37" data-semantic-parent="42" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
</mrow>
<mo data-semantic-type="relation" data-semantic-role="inequality" data-semantic-id="38" data-semantic-parent="55" data-semantic-operator="multirel">></mo>
<mrow data-semantic-type="empty" data-semantic-role="unknown" data-semantic-id="54" data-semantic-parent="55"/></mrow>
<annotation encoding="application/x-tex">q(\pi _{n})\equiv \sum _{\alpha \neq \beta }<{\hat {P}}(e_{\alpha }){\hat {P}}(\pi _{n}){\hat {P}}(e_{\beta })></annotation>
</semantics>
</math>