General
Display information for equation id:math.238889.0 on revision:238889
* Page found: Pushforward (differential) (eq math.238889.0)
(force rerendering)Cannot find the equation data in the database. Fetching from revision text.
Occurrences on the following pages:
Hash: 71d063b52142abc5ecfad59edf34d6b9
TeX (original user input):
\mathrm d \varphi_x:\mathbf R^m\to\mathbf R^n\ .
TeX (checked):
\mathrm {d} \varphi _{x}:\mathbf {R} ^{m}\to \mathbf {R} ^{n}\ .
LaTeXML (experimental; uses MathML) rendering
MathML (3.399 KB / 754 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\mathrm{d}\varphi_{x}:\mathbf{R}^{m}\to\mathbf{R}^% {n}\ .}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.12" xref="p1.1.m1.1.12.2.cmml">
<mrow id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">
<mrow id="p1.1.m1.1.12.2.1" xref="p1.1.m1.1.12.2.1.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">d</mi>
<mo id="p1.1.m1.1.12.2.1.1" xref="p1.1.m1.1.12.2.1.1.cmml"></mo>
<msub id="p1.1.m1.1.12.2.1.2" xref="p1.1.m1.1.12.2.1.2.cmml">
<mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">φ</mi>
<mi id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">x</mi>
</msub>
</mrow>
<mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">:</mo>
<mrow id="p1.1.m1.1.12.2.2" xref="p1.1.m1.1.12.2.2.cmml">
<msup id="p1.1.m1.1.12.2.2.1" xref="p1.1.m1.1.12.2.2.1.cmml">
<mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">𝐑</mi>
<mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">m</mi>
</msup>
<mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">→</mo>
<mpadded width="+5pt" id="p1.1.m1.1.12.2.2.2" xref="p1.1.m1.1.12.2.2.2.cmml">
<msup id="p1.1.m1.1.12.2.2.2a" xref="p1.1.m1.1.12.2.2.2.cmml">
<mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">𝐑</mi>
<mi id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">n</mi>
</msup>
</mpadded>
</mrow>
</mrow>
<mo id="p1.1.m1.1.11" xref="p1.1.m1.1.12.2.cmml">.</mo>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12">
<ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">:</ci>
<apply id="p1.1.m1.1.12.2.1.cmml" xref="p1.1.m1.1.12.2.1">
<times id="p1.1.m1.1.12.2.1.1.cmml" xref="p1.1.m1.1.12.2.1.1"/>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">d</ci>
<apply id="p1.1.m1.1.12.2.1.2.cmml" xref="p1.1.m1.1.12.2.1.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.12.2.1.2.1.cmml" xref="p1.1.m1.1.12.2.1.2">subscript</csymbol>
<ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝜑</ci>
<ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">𝑥</ci>
</apply>
</apply>
<apply id="p1.1.m1.1.12.2.2.cmml" xref="p1.1.m1.1.12.2.2">
<ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">→</ci>
<apply id="p1.1.m1.1.12.2.2.1.cmml" xref="p1.1.m1.1.12.2.2.1">
<csymbol cd="ambiguous" id="p1.1.m1.1.12.2.2.1.1.cmml" xref="p1.1.m1.1.12.2.2.1">superscript</csymbol>
<ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝐑</ci>
<ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝑚</ci>
</apply>
<apply id="p1.1.m1.1.12.2.2.2.cmml" xref="p1.1.m1.1.12.2.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.12.2.2.2.1.cmml" xref="p1.1.m1.1.12.2.2.2">superscript</csymbol>
<ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝐑</ci>
<ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">𝑛</ci>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\mathrm{d}\varphi_{x}:\mathbf{R}^{m}\to\mathbf{R}^%
{n}\ .}}</annotation>
</semantics>
</math>
SVG (6.878 KB / 2.703 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:
Reached unknown latex-command \varphi - Reason: Unknown LaTeX Command
Translation to Mathematica
In Mathematica:
Reached unknown latex-command \varphi - Reason: Unknown LaTeX Command
Similar pages
Calculated based on the variables occurring on the entire Pushforward (differential) page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results