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="theta 3 left-parenthesis pi z vertical-bar tau right-parenthesis equals theta 3 left-parenthesis 0 vertical-bar tau right-parenthesis exp left-parenthesis minus sigma-summation Underscript j equals 1 Overscript normal infinity Endscripts StartFraction 1 Over 2 j EndFraction beta Subscript 2 j Baseline left-parenthesis tau right-parenthesis z Superscript 2 j Baseline right-parenthesis">
<semantics>
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<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="2" data-semantic-operator="appl">θ
<!-- θ -->
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="1" data-semantic-parent="2">3</mn>
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<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="70" data-semantic-parent="71" data-semantic-added="true" data-semantic-operator="appl"></mo>
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<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="3" data-semantic-parent="12" data-semantic-operator="fenced">(</mo>
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<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="9" data-semantic-children="4,5" data-semantic-content="8" data-semantic-parent="10">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="4" data-semantic-parent="9">π
<!-- π -->
</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 data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="5" data-semantic-parent="9">z</mi>
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<mo stretchy="false" data-semantic-type="punctuation" data-semantic-role="vbar" data-semantic-id="6" data-semantic-parent="10" data-semantic-operator="punctuated">|</mo>
</mrow>
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="10">τ
<!-- τ -->
</mi>
</mrow>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="11" data-semantic-parent="12" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="13" data-semantic-parent="74" data-semantic-operator="relseq,=">=</mo>
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<msub data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-id="16" data-semantic-children="14,15" data-semantic-parent="69">
<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">θ
<!-- θ -->
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="15" data-semantic-parent="16">3</mn>
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</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="68" data-semantic-parent="69" data-semantic-added="true" data-semantic-operator="appl"></mo>
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<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="17" data-semantic-parent="23" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="21" data-semantic-children="18,19,20" data-semantic-content="19" data-semantic-parent="23">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="18" data-semantic-parent="21">0</mn>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false" data-semantic-type="punctuation" data-semantic-role="vbar" data-semantic-id="19" data-semantic-parent="21" data-semantic-operator="punctuated">|</mo>
</mrow>
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="20" data-semantic-parent="21">τ
<!-- τ -->
</mi>
</mrow>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="22" data-semantic-parent="23" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="72" data-semantic-parent="73" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
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<mi data-semantic-type="function" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="24" data-semantic-parent="67" data-semantic-operator="appl">exp</mi>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="66" data-semantic-parent="67" data-semantic-added="true" data-semantic-operator="appl"></mo>
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<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="26" data-semantic-parent="65" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="prefixop" data-semantic-role="negative" data-semantic-id="63" data-semantic-children="62" data-semantic-content="27" data-semantic-parent="65">
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="27" data-semantic-parent="63" data-semantic-operator="prefixop,−">−
<!-- − -->
</mo>
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<mo data-semantic-type="largeop" data-semantic-role="sum" data-semantic-id="28" data-semantic-parent="34" data-semantic-operator="bigop">∑
<!-- ∑ -->
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="29" data-semantic-parent="32">j</mi>
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<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="unknown" data-semantic-font="normal" data-semantic-id="33" data-semantic-parent="34">∞
<!-- ∞ -->
</mi>
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</munderover>
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<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="40" data-semantic-children="35,39" data-semantic-parent="61">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="35" data-semantic-parent="40">1</mn>
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="36" data-semantic-parent="39">2</mn>
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<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="41" data-semantic-parent="46" data-semantic-operator="appl">β
<!-- β -->
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<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="48" data-semantic-parent="56">τ
<!-- τ -->
</mi>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="49" data-semantic-parent="56" 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="50" data-semantic-parent="55">z</mi>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="52" data-semantic-parent="54">j</mi>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="64" data-semantic-parent="65" data-semantic-operator="fenced">)</mo>
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<annotation encoding="application/x-tex">\theta _{3}\left(\pi z|\tau \right)=\theta _{3}\left(0|\tau \right)\exp \left(-\sum _{j=1}^{\infty }{\frac {1}{2j}}\beta _{2j}(\tau )z^{2j}\right)</annotation>
</semantics>
</math>