General
Display information for equation id:math.241462.11 on revision:241462
* Page found: Quadratic variation (eq math.241462.11)
(force rerendering)Cannot find the equation data in the database. Fetching from revision text.
Occurrences on the following pages:
Hash: 5378f9017a323f7e0de258255a62fe47
TeX (original user input):
\,dX_t \,dY_t=\,d[X,Y]_t.
TeX (checked):
\,dX_{t}\,dY_{t}=\,d[X,Y]_{t}.
LaTeXML (experimental; uses MathML) rendering
MathML (4.466 KB / 837 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\,dX_{t}\,dY_{t}=\,d[X,Y]_{t}.}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.19" xref="p1.1.m1.1.19.2.cmml">
<mrow id="p1.1.m1.1.19.2" xref="p1.1.m1.1.19.2.cmml">
<mrow id="p1.1.m1.1.19.2.1" xref="p1.1.m1.1.19.2.1.cmml">
<mpadded lspace="1.7pt" width="+1.7pt" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
<mi id="p1.1.m1.1.2a" xref="p1.1.m1.1.2.cmml">d</mi>
</mpadded>
<mo id="p1.1.m1.1.19.2.1.1" xref="p1.1.m1.1.19.2.1.1.cmml"></mo>
<mpadded width="+1.7pt" id="p1.1.m1.1.19.2.1.2" xref="p1.1.m1.1.19.2.1.2.cmml">
<msub id="p1.1.m1.1.19.2.1.2a" xref="p1.1.m1.1.19.2.1.2.cmml">
<mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">X</mi>
<mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">t</mi>
</msub>
</mpadded>
<mo id="p1.1.m1.1.19.2.1.1a" xref="p1.1.m1.1.19.2.1.1.cmml"></mo>
<mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">d</mi>
<mo id="p1.1.m1.1.19.2.1.1b" xref="p1.1.m1.1.19.2.1.1.cmml"></mo>
<msub id="p1.1.m1.1.19.2.1.3" xref="p1.1.m1.1.19.2.1.3.cmml">
<mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">Y</mi>
<mi id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">t</mi>
</msub>
</mrow>
<mo rspace="4.2pt" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">=</mo>
<mrow id="p1.1.m1.1.19.2.2" xref="p1.1.m1.1.19.2.2.cmml">
<mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">d</mi>
<mo id="p1.1.m1.1.19.2.2.1" xref="p1.1.m1.1.19.2.2.1.cmml"></mo>
<msub id="p1.1.m1.1.19.2.2.2" xref="p1.1.m1.1.19.2.2.2.cmml">
<mrow id="p1.1.m1.1.19.2.2.2.2" xref="p1.1.m1.1.19.2.2.2.2.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.19.2.2.2.2.1.cmml">[</mo>
<mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">X</mi>
<mo id="p1.1.m1.1.14" xref="p1.1.m1.1.19.2.2.2.2.1.cmml">,</mo>
<mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">Y</mi>
<mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.19.2.2.2.2.1.cmml">]</mo>
</mrow>
<mi id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">t</mi>
</msub>
</mrow>
</mrow>
<mo id="p1.1.m1.1.18" xref="p1.1.m1.1.19.2.cmml">.</mo>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.19.2.cmml" xref="p1.1.m1.1.19">
<eq id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
<apply id="p1.1.m1.1.19.2.1.cmml" xref="p1.1.m1.1.19.2.1">
<times id="p1.1.m1.1.19.2.1.1.cmml" xref="p1.1.m1.1.19.2.1.1"/>
<ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑑</ci>
<apply id="p1.1.m1.1.19.2.1.2.cmml" xref="p1.1.m1.1.19.2.1.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.19.2.1.2.1.cmml" xref="p1.1.m1.1.19.2.1.2">subscript</csymbol>
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑋</ci>
<ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝑡</ci>
</apply>
<ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑑</ci>
<apply id="p1.1.m1.1.19.2.1.3.cmml" xref="p1.1.m1.1.19.2.1.3">
<csymbol cd="ambiguous" id="p1.1.m1.1.19.2.1.3.1.cmml" xref="p1.1.m1.1.19.2.1.3">subscript</csymbol>
<ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑌</ci>
<ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">𝑡</ci>
</apply>
</apply>
<apply id="p1.1.m1.1.19.2.2.cmml" xref="p1.1.m1.1.19.2.2">
<times id="p1.1.m1.1.19.2.2.1.cmml" xref="p1.1.m1.1.19.2.2.1"/>
<ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝑑</ci>
<apply id="p1.1.m1.1.19.2.2.2.cmml" xref="p1.1.m1.1.19.2.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.19.2.2.2.1.cmml" xref="p1.1.m1.1.19.2.2.2">subscript</csymbol>
<interval closure="closed" id="p1.1.m1.1.19.2.2.2.2.1.cmml" xref="p1.1.m1.1.19.2.2.2.2">
<ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑋</ci>
<ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝑌</ci>
</interval>
<ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">𝑡</ci>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\,dX_{t}\,dY_{t}=\,d[X,Y]_{t}.}</annotation>
</semantics>
</math>
SVG (7.167 KB / 2.558 KB) :
MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
PNG (0 B / 8 B) :
Translations to Computer Algebra Systems
Translation to Maple
In Maple: d*X[t]*d*Y[t]= d*[X , Y][t]
Information about the conversion process:
Translation to Mathematica
In Mathematica: d*Subscript[X, t]*d*Subscript[Y, t]= d*Subscript[[X , Y], t]
Information about the conversion process:
Similar pages
Calculated based on the variables occurring on the entire Quadratic variation page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results