UNPKG

mathmlben

Version:

Visualization for goldstandard

138 lines 11 kB
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="upper L left-parenthesis ModifyingAbove theta With caret Subscript nu Baseline comma theta Subscript nu Baseline right-parenthesis equals parallel-to ModifyingAbove theta With caret Subscript nu minus mathematical left-angle ModifyingAbove theta With caret Subscript nu Baseline theta Subscript nu Baseline mathematical right-angle theta Subscript nu parallel-to"> <semantics> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="45" data-semantic-children="42,46" data-semantic-content="18"> <mrow data-semantic-type="infixop" data-semantic-role="unknown" data-semantic-id="42" data-semantic-children="41,17" data-semantic-content="12" data-semantic-parent="45"> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="41" data-semantic-children="0,36" data-semantic-content="40,0" data-semantic-parent="42"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="41" data-semantic-operator="appl">L</mi> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="40" data-semantic-parent="41" data-semantic-added="true" data-semantic-operator="appl"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="36" data-semantic-children="35" data-semantic-content="1,11" data-semantic-parent="41"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="1" data-semantic-parent="36" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="35" data-semantic-children="6,7,10" data-semantic-content="7" data-semantic-parent="36"> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="6" data-semantic-children="4,5" data-semantic-parent="35"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="4" data-semantic-children="2,3" data-semantic-parent="6"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="4">θ <!-- θ --> </mi> <mo data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="3" data-semantic-parent="4">^ <!-- ^ --> </mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="5" data-semantic-parent="6">ν <!-- ν --> </mi> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="7" data-semantic-parent="35" data-semantic-operator="punctuated">,</mo> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="10" data-semantic-children="8,9" data-semantic-parent="35"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="8" data-semantic-parent="10">θ <!-- θ --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="9" data-semantic-parent="10">ν <!-- ν --> </mi> </mrow> </msub> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="11" data-semantic-parent="36" data-semantic-operator="fenced">)</mo> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="unknown" data-semantic-id="12" data-semantic-parent="42" data-semantic-operator="infixop,=∥">=∥ <!-- ∥ --> </mo> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="17" data-semantic-children="15,16" data-semantic-parent="42"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="15" data-semantic-children="13,14" data-semantic-parent="17"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="13" data-semantic-parent="15">θ <!-- θ --> </mi> <mo data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="14" data-semantic-parent="15">^ <!-- ^ --> </mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="16" data-semantic-parent="17">ν <!-- ν --> </mi> </mrow> </msub> </mrow> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="18" data-semantic-parent="45" data-semantic-operator="infixop,−"><!-- − --> </mo> <mrow data-semantic-type="postfixop" data-semantic-role="unknown" data-semantic-id="46" data-semantic-children="44" data-semantic-content="34" data-semantic-parent="45"> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="44" data-semantic-children="39,31" data-semantic-content="43" data-semantic-parent="46"> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="39" data-semantic-children="38" data-semantic-content="19,28" data-semantic-parent="44"> <mo fence="false" stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="19" data-semantic-parent="39" data-semantic-operator="fenced"><!-- ⟨ --> </mo> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="38" data-semantic-children="24,27" data-semantic-content="37" data-semantic-parent="39"> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="24" data-semantic-children="22,23" data-semantic-parent="38"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="22" data-semantic-children="20,21" data-semantic-parent="24"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="20" data-semantic-parent="22">θ <!-- θ --> </mi> <mo data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="21" data-semantic-parent="22">^ <!-- ^ --> </mo> </mover> </mrow> </mrow> <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="operator" data-semantic-role="multiplication" data-semantic-id="37" data-semantic-parent="38" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="27" data-semantic-children="25,26" data-semantic-parent="38"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="25" data-semantic-parent="27">θ <!-- θ --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="26" data-semantic-parent="27">ν <!-- ν --> </mi> </mrow> </msub> </mrow> <mo fence="false" stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="28" data-semantic-parent="39" data-semantic-operator="fenced"><!-- ⟩ --> </mo> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="43" data-semantic-parent="44" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="31" data-semantic-children="29,30" data-semantic-parent="44"> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="29" data-semantic-parent="31">θ <!-- θ --> </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> </mrow> <msup data-semantic-type="superscript" data-semantic-role="unknown" data-semantic-id="34" data-semantic-children="32,33" data-semantic-parent="46" data-semantic-embellished="operator" data-semantic-operator="postfixop,∥"> <mo stretchy="false" data-semantic-type="operator" data-semantic-role="unknown" data-semantic-id="32" data-semantic-parent="34"><!-- ∥ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="33" data-semantic-parent="34">2</mn> </mrow> </msup> </mrow> </mrow> <annotation encoding="application/x-tex">L({\widehat {\theta }}_{\nu },\theta _{\nu })=\parallel {\widehat {\theta }}_{\nu }-\langle {\widehat {\theta }}_{\nu }\theta _{\nu }\rangle \theta _{\nu }\parallel ^{2}</annotation> </semantics> </math>