UNPKG

mathmlben

Version:

Visualization for goldstandard

63 lines 6.91 kB
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="StartAbsoluteValue f left-parenthesis a plus alpha comma b plus beta right-parenthesis minus f left-parenthesis a comma b right-parenthesis EndAbsoluteValue less-than epsilon"> <semantics> <mrow data-semantic-type="relseq" data-semantic-role="inequality" data-semantic-id="33" data-semantic-children="32,20" data-semantic-content="19"> <mrow data-semantic-type="fenced" data-semantic-role="neutral" data-semantic-id="32" data-semantic-children="31" data-semantic-content="0,18" data-semantic-parent="33"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="neutral" data-semantic-id="0" data-semantic-parent="32" data-semantic-operator="fenced">|</mo> </mrow> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="31" data-semantic-children="30,28" data-semantic-content="11" data-semantic-parent="32"> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="30" data-semantic-children="1,24" data-semantic-content="29,1" data-semantic-parent="31"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="30" data-semantic-operator="appl">f</mi> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="29" data-semantic-parent="30" data-semantic-added="true" data-semantic-operator="appl"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="24" data-semantic-children="23" data-semantic-content="2,10" data-semantic-parent="30"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="2" data-semantic-parent="24" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="23" data-semantic-children="21,6,22" data-semantic-content="6" data-semantic-parent="24"> <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="21" data-semantic-children="3,5" data-semantic-content="4" data-semantic-parent="23"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="3" data-semantic-parent="21">a</mi> <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="4" data-semantic-parent="21" data-semantic-operator="infixop,+">+</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="5" data-semantic-parent="21">α <!-- α --> </mi> </mrow> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="6" data-semantic-parent="23" data-semantic-operator="punctuated">,</mo> <mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="22" data-semantic-children="7,9" data-semantic-content="8" data-semantic-parent="23"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="22">b</mi> <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="8" data-semantic-parent="22" data-semantic-operator="infixop,+">+</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="9" data-semantic-parent="22">β <!-- β --> </mi> </mrow> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="10" data-semantic-parent="24" data-semantic-operator="fenced">)</mo> </mrow> </mrow> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="11" data-semantic-parent="31" data-semantic-operator="infixop,−"><!-- − --> </mo> <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="28" data-semantic-children="12,26" data-semantic-content="27,12" data-semantic-parent="31"> <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="12" data-semantic-parent="28" data-semantic-operator="appl">f</mi> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="27" data-semantic-parent="28" data-semantic-added="true" data-semantic-operator="appl"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="26" data-semantic-children="25" data-semantic-content="13,17" data-semantic-parent="28"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="13" data-semantic-parent="26" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="25" data-semantic-children="14,15,16" data-semantic-content="15" data-semantic-parent="26"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="14" data-semantic-parent="25">a</mi> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="15" data-semantic-parent="25" data-semantic-operator="punctuated">,</mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="16" data-semantic-parent="25">b</mi> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="17" data-semantic-parent="26" data-semantic-operator="fenced">)</mo> </mrow> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="neutral" data-semantic-id="18" data-semantic-parent="32" data-semantic-operator="fenced">|</mo> </mrow> </mrow> <mo data-semantic-type="relation" data-semantic-role="inequality" data-semantic-id="19" data-semantic-parent="33" data-semantic-operator="relseq,&lt;">&lt;</mo> <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="20" data-semantic-parent="33">ϵ <!-- ϵ --> </mi> </mrow> <annotation encoding="application/x-tex">|f(a+\alpha ,b+\beta )-f(a,b)|&lt;\epsilon</annotation> </semantics> </math>