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 J Subscript nu Baseline left-parenthesis j prime Subscript nu comma m right-parenthesis equals StartFraction h left-parenthesis zeta right-parenthesis normal upper A normal i left-parenthesis a prime Subscript m right-parenthesis Over nu Superscript one-third Baseline EndFraction left-parenthesis 1 plus upper O left-parenthesis StartFraction 1 Over nu Superscript four-thirds Baseline EndFraction right-parenthesis 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">J</mi>
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<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="2">ν
<!-- ν -->
</mi>
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<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="62" data-semantic-parent="63" 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="13" 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="4" data-semantic-parent="11">j</mi>
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<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="5" data-semantic-parent="8">ν
<!-- ν -->
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<mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="6" data-semantic-parent="8" data-semantic-operator="punctuated">,</mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="8">m</mi>
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<mo data-semantic-type="punctuation" data-semantic-role="prime" data-semantic-id="9" data-semantic-parent="11">′</mo>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="12" data-semantic-parent="13" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="14" data-semantic-parent="66" data-semantic-operator="relseq,=">=</mo>
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<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="42" data-semantic-children="36,41" data-semantic-parent="65">
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="36" data-semantic-children="33,22,30" data-semantic-content="34,35" data-semantic-parent="42">
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="33" data-semantic-children="15,31" data-semantic-content="32,15" data-semantic-parent="36">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="15" data-semantic-parent="33" data-semantic-operator="appl">h</mi>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="32" data-semantic-parent="33" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="31" data-semantic-children="17" data-semantic-content="16,18" data-semantic-parent="33">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="16" data-semantic-parent="31" data-semantic-operator="fenced">(</mo>
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="17" data-semantic-parent="31">ζ
<!-- ζ -->
</mi>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="18" data-semantic-parent="31" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="34" data-semantic-parent="36" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="22" data-semantic-children="19,20" data-semantic-content="21" data-semantic-parent="36">
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="19" data-semantic-parent="22">A</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 mathvariant="normal" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="normal" data-semantic-id="20" data-semantic-parent="22">i</mi>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="35" data-semantic-parent="36" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="30" data-semantic-children="28" data-semantic-content="23,29" data-semantic-parent="36">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="23" data-semantic-parent="30" data-semantic-operator="fenced">(</mo>
<msubsup data-semantic-type="subsup" data-semantic-role="latinletter" data-semantic-id="28" data-semantic-children="24,25,26" data-semantic-parent="30" data-semantic-collapsed="(28 (27 24 25) 26)">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="24" data-semantic-parent="28">a</mi>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="25" data-semantic-parent="28">m</mi>
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<mrow class="MJX-TeXAtom-ORD">
<mi class="MJX-variant" mathvariant="normal" data-semantic-type="punctuation" data-semantic-role="prime" data-semantic-font="normal" data-semantic-id="26" data-semantic-parent="28">′
<!-- ′ -->
</mi>
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</msubsup>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="29" data-semantic-parent="30" data-semantic-operator="fenced">)</mo>
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</mrow>
<msup data-semantic-type="superscript" data-semantic-role="greekletter" data-semantic-id="41" data-semantic-children="37,40" data-semantic-parent="42">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="37" data-semantic-parent="41">ν
<!-- ν -->
</mi>
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<mfrac data-semantic-type="fraction" data-semantic-role="vulgar" data-semantic-id="40" data-semantic-children="38,39" data-semantic-parent="41">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="38" data-semantic-parent="40">1</mn>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="39" data-semantic-parent="40">3</mn>
</mfrac>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="64" data-semantic-parent="65" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="61" data-semantic-children="59" data-semantic-content="43,60" data-semantic-parent="65">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="43" data-semantic-parent="61" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="59" data-semantic-children="44,58" data-semantic-content="45" data-semantic-parent="61">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="44" data-semantic-parent="59">1</mn>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="45" data-semantic-parent="59" data-semantic-operator="infixop,+">+</mo>
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<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="46" data-semantic-parent="58" data-semantic-operator="appl">O</mi>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="57" data-semantic-parent="58" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="56" data-semantic-children="54" data-semantic-content="47,55" data-semantic-parent="58">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="47" data-semantic-parent="56" data-semantic-operator="fenced">(</mo>
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<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="54" data-semantic-children="48,53" data-semantic-parent="56">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="48" data-semantic-parent="54">1</mn>
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<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="49" data-semantic-parent="53">ν
<!-- ν -->
</mi>
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<mfrac data-semantic-type="fraction" data-semantic-role="vulgar" data-semantic-id="52" data-semantic-children="50,51" data-semantic-parent="53">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="50" data-semantic-parent="52">4</mn>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="51" data-semantic-parent="52">3</mn>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="55" data-semantic-parent="56" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="60" data-semantic-parent="61" data-semantic-operator="fenced">)</mo>
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<annotation encoding="application/x-tex">J_{\nu }\left(j_{\nu ,m}'\right)={\frac {h(\zeta )\mathrm {Ai} \left(a_{m}^{\prime }\right)}{\nu ^{\frac {1}{3}}}}\left(1+O\left({\frac {1}{\nu ^{\frac {4}{3}}}}\right)\right)</annotation>
</semantics>
</math>