Jump to navigation
Jump to search
General
Display information for equation id:math.226368.2 on revision:226368
* Page found: De Rham cohomology (eq math.226368.2)
(force rerendering)Occurrences on the following pages:
Hash: 75778aed12a16702ed2db7cd29ce1995
TeX (original user input):
H^{0}_{\mathrm{dR}}(M) \cong \mathbf{R}^n.
TeX (checked):
H_{\mathrm {dR} }^{0}(M)\cong \mathbf {R} ^{n}.
LaTeXML (experimental; uses MathML) rendering
MathML (2.971 KB / 708 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle H_{{{\mathrm{dR}}}}^{{0}}(M)\cong{\mathbf{R}}^{n}.}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.11" xref="p1.1.m1.1.11.2.cmml">
<mrow id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">
<mrow id="p1.1.m1.1.11.2.1" xref="p1.1.m1.1.11.2.1.cmml">
<msubsup id="p1.1.m1.1.11.2.1.2" xref="p1.1.m1.1.11.2.1.2.cmml">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">H</mi>
<mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">dR</mi>
<mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">0</mn>
</msubsup>
<mo id="p1.1.m1.1.11.2.1.1" xref="p1.1.m1.1.11.2.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.11.2.1.3" xref="p1.1.m1.1.11.2.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.11.2.1.cmml">(</mo>
<mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">M</mi>
<mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.11.2.1.cmml">)</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">≅</mo>
<msup id="p1.1.m1.1.11.2.2" xref="p1.1.m1.1.11.2.2.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>
</mrow>
<mo id="p1.1.m1.1.10" xref="p1.1.m1.1.11.2.cmml">.</mo>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11">
<approx id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
<apply id="p1.1.m1.1.11.2.1.cmml" xref="p1.1.m1.1.11.2.1">
<times id="p1.1.m1.1.11.2.1.1.cmml" xref="p1.1.m1.1.11.2.1.1"/>
<apply id="p1.1.m1.1.11.2.1.2.cmml" xref="p1.1.m1.1.11.2.1.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.11.2.1.2.1.cmml" xref="p1.1.m1.1.11.2.1.2">superscript</csymbol>
<apply id="p1.1.m1.1.11.2.1.2.2.cmml" xref="p1.1.m1.1.11.2.1.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.11.2.1.2.2.1.cmml" xref="p1.1.m1.1.11.2.1.2">subscript</csymbol>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝐻</ci>
<ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">dR</ci>
</apply>
<cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">0</cn>
</apply>
<ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑀</ci>
</apply>
<apply id="p1.1.m1.1.11.2.2.cmml" xref="p1.1.m1.1.11.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.11.2.2.1.cmml" xref="p1.1.m1.1.11.2.2">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>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle H_{{{\mathrm{dR}}}}^{{0}}(M)\cong{\mathbf{R}}^{n}.}</annotation>
</semantics>
</math>
SVG (8.364 KB / 3.582 KB) :
SVG (MathML can be enabled via browser plugin) rendering
MathML (1.102 KB / 406 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle H_{\mathrm {dR} }^{0}(M)\cong \mathbf {R} ^{n}.}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msubsup>
<mi>H</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal">d</mi>
<mi mathvariant="normal">R</mi>
</mrow>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mn>0</mn>
</mrow>
</msubsup>
<mo stretchy="false">(</mo>
<mi>M</mi>
<mo stretchy="false">)</mo>
<mo>≅<!-- ≅ --></mo>
<msup>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="bold">R</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msup>
<mo>.</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle H_{\mathrm {dR} }^{0}(M)\cong \mathbf {R} ^{n}.}</annotation>
</semantics>
</math>
SVG (7.301 KB / 3.394 KB) :
Translations to Computer Algebra Systems
Translation to Maple
In Maple:
Translation to Mathematica
In Mathematica:
Similar pages
Calculated based on the variables occurring on the entire De Rham cohomology page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results