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 N Subscript nu Baseline left-parenthesis x right-parenthesis e Superscript i phi Super Subscript nu Superscript left-parenthesis x right-parenthesis Baseline equals kernel Subscript nu Baseline x plus i k e i Subscript nu Baseline x">
<semantics>
<mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="45" data-semantic-children="41,44" data-semantic-content="21">
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="41" data-semantic-children="39,20" data-semantic-content="40" data-semantic-parent="45">
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="39" data-semantic-children="2,6" data-semantic-content="38,0" data-semantic-parent="41">
<msub data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-id="2" data-semantic-children="0,1" data-semantic-parent="39">
<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">N</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="2">ν
<!-- ν -->
</mi>
</mrow>
</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="38" data-semantic-parent="39" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="6" data-semantic-children="4" data-semantic-content="3,5" data-semantic-parent="39">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="3" data-semantic-parent="6" data-semantic-operator="fenced">(</mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="4" data-semantic-parent="6">x</mi>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="5" data-semantic-parent="6" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="40" data-semantic-parent="41" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="20" data-semantic-children="7,19" data-semantic-parent="41">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="20">e</mi>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="19" data-semantic-children="8,17" data-semantic-content="18" data-semantic-parent="20">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="8" data-semantic-parent="19">i</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="18" data-semantic-parent="19" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="17" data-semantic-children="11,15" data-semantic-content="16,9" data-semantic-parent="19">
<msub data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-id="11" data-semantic-children="9,10" data-semantic-parent="17">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="9" data-semantic-parent="11" data-semantic-operator="appl">ϕ
<!-- ϕ -->
</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="10" data-semantic-parent="11">ν
<!-- ν -->
</mi>
</mrow>
</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="16" data-semantic-parent="17" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="15" data-semantic-children="13" data-semantic-content="12,14" data-semantic-parent="17">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="12" data-semantic-parent="15" 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="15">x</mi>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="14" data-semantic-parent="15" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
</mrow>
</msup>
</mrow>
<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="21" data-semantic-parent="45" data-semantic-operator="relseq,=">=</mo>
<mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="44" data-semantic-children="37,43" data-semantic-content="27" data-semantic-parent="45">
<mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="37" data-semantic-children="24,26" data-semantic-content="36,22" data-semantic-parent="44">
<msub data-semantic-type="subscript" data-semantic-role="prefix function" data-semantic-id="24" data-semantic-children="22,23" data-semantic-parent="37">
<mi data-semantic-type="function" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="22" data-semantic-parent="24" data-semantic-operator="appl">ker</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="23" data-semantic-parent="24">ν
<!-- ν -->
</mi>
</mrow>
</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="36" data-semantic-parent="37" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="26" data-semantic-parent="37">x</mi>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="27" data-semantic-parent="44" data-semantic-operator="infixop,+">+</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="43" data-semantic-children="28,35" data-semantic-content="42" data-semantic-parent="44">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="28" data-semantic-parent="43">i</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="42" data-semantic-parent="43" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="35" data-semantic-children="31,33" data-semantic-content="34,29" data-semantic-parent="43">
<msub data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-id="31" data-semantic-children="29,30" data-semantic-parent="35">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="normal" data-semantic-id="29" data-semantic-parent="31" data-semantic-operator="appl">kei</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="30" data-semantic-parent="31">ν
<!-- ν -->
</mi>
</mrow>
</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="34" data-semantic-parent="35" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="33" data-semantic-parent="35">x</mi>
</mrow>
</mrow>
</mrow>
</mrow>
<annotation encoding="application/x-tex">N_{\nu }\left(x\right)e^{i\phi _{\nu }\left(x\right)}=\operatorname {ker} _{\nu }x+i\operatorname {kei} _{\nu }x</annotation>
</semantics>
</math>