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="sigma-summation Underscript n equals 0 Overscript normal infinity Endscripts q Superscript n squared Baseline a Superscript n Baseline beta Subscript n Baseline equals StartFraction 1 Over left-parenthesis a q semicolon q right-parenthesis Subscript normal infinity Baseline EndFraction sigma-summation Underscript n equals 0 Overscript normal infinity Endscripts q Superscript n squared Baseline a Superscript n Baseline alpha Subscript n">
<semantics>
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<mo data-semantic-type="largeop" data-semantic-role="sum" data-semantic-id="0" data-semantic-parent="6" data-semantic-operator="bigop">∑
<!-- ∑ -->
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="4">n</mi>
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="3" data-semantic-parent="4">0</mn>
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<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="unknown" data-semantic-font="normal" data-semantic-id="5" data-semantic-parent="6">∞
<!-- ∞ -->
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="11">q</mi>
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<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="10" data-semantic-children="8,9" data-semantic-parent="11">
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="9" data-semantic-parent="10">2</mn>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="12" data-semantic-parent="14">a</mi>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="13" data-semantic-parent="14">n</mi>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="56" data-semantic-parent="57" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
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<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="15" data-semantic-parent="17">β
<!-- β -->
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="16" data-semantic-parent="17">n</mi>
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<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="20" data-semantic-parent="29" data-semantic-operator="fenced">(</mo>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="22" data-semantic-parent="26">q</mi>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="24" data-semantic-parent="27">q</mi>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="28" data-semantic-parent="29" data-semantic-operator="fenced">)</mo>
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<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="unknown" data-semantic-font="normal" data-semantic-id="30" data-semantic-parent="31">∞
<!-- ∞ -->
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<mo data-semantic-type="largeop" data-semantic-role="sum" data-semantic-id="33" data-semantic-parent="39" data-semantic-operator="bigop">∑
<!-- ∑ -->
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<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="unknown" data-semantic-font="normal" data-semantic-id="38" data-semantic-parent="39">∞
<!-- ∞ -->
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="40" data-semantic-parent="44">q</mi>
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<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="43" data-semantic-children="41,42" data-semantic-parent="44">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="41" data-semantic-parent="43">n</mi>
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="42" data-semantic-parent="43">2</mn>
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<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="48" data-semantic-parent="50">α
<!-- α -->
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<annotation encoding="application/x-tex">\sum _{n=0}^{\infty }q^{n^{2}}a^{n}\beta _{n}={\frac {1}{\left(aq;q\right)_{\infty }}}\sum _{n=0}^{\infty }q^{n^{2}}a^{n}\alpha _{n}</annotation>
</semantics>
</math>