General
Display information for equation id:math.228195.1 on revision:228195
* Page found: Coproduct (eq math.228195.1)
(force rerendering)Cannot find the equation data in the database. Fetching from revision text.
Occurrences on the following pages:
Hash: b0f0f7c3463ea729675a13565b834ec2
TeX (original user input):
X = \bigoplus_{j \in J} X_j.
TeX (checked):
X=\bigoplus _{j\in J}X_{j}.
LaTeXML (experimental; uses MathML) rendering
MathML (2.858 KB / 716 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle X=\bigoplus_{{j\in J}}X_{j}.}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.8" xref="p1.1.m1.1.8.2.cmml">
<mrow id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">X</mi>
<mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
<mrow id="p1.1.m1.1.8.2.1" xref="p1.1.m1.1.8.2.1.cmml">
<mstyle displaystyle="true" id="p1.1.m1.1.8.2.1.1" xref="p1.1.m1.1.8.2.1.1.cmml">
<munder id="p1.1.m1.1.8.2.1.1a" xref="p1.1.m1.1.8.2.1.1.cmml">
<mo largeop="true" mathsize="160%" movablelimits="false" stretchy="false" symmetric="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">⊕</mo>
<mrow id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">
<mi id="p1.1.m1.1.4.1.1" xref="p1.1.m1.1.4.1.1.cmml">j</mi>
<mo id="p1.1.m1.1.4.1.2" xref="p1.1.m1.1.4.1.2.cmml">∈</mo>
<mi id="p1.1.m1.1.4.1.3" xref="p1.1.m1.1.4.1.3.cmml">J</mi>
</mrow>
</munder>
</mstyle>
<msub id="p1.1.m1.1.8.2.1.2" xref="p1.1.m1.1.8.2.1.2.cmml">
<mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">X</mi>
<mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">j</mi>
</msub>
</mrow>
</mrow>
<mo id="p1.1.m1.1.7" xref="p1.1.m1.1.8.2.cmml">.</mo>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8">
<eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑋</ci>
<apply id="p1.1.m1.1.8.2.1.cmml" xref="p1.1.m1.1.8.2.1">
<apply id="p1.1.m1.1.8.2.1.1.cmml" xref="p1.1.m1.1.8.2.1.1">
<csymbol cd="ambiguous" id="p1.1.m1.1.8.2.1.1.1.cmml" xref="p1.1.m1.1.8.2.1.1">subscript</csymbol>
<csymbol cd="latexml" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">direct-sum</csymbol>
<apply id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">
<in id="p1.1.m1.1.4.1.2.cmml" xref="p1.1.m1.1.4.1.2"/>
<ci id="p1.1.m1.1.4.1.1.cmml" xref="p1.1.m1.1.4.1.1">𝑗</ci>
<ci id="p1.1.m1.1.4.1.3.cmml" xref="p1.1.m1.1.4.1.3">𝐽</ci>
</apply>
</apply>
<apply id="p1.1.m1.1.8.2.1.2.cmml" xref="p1.1.m1.1.8.2.1.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.8.2.1.2.1.cmml" xref="p1.1.m1.1.8.2.1.2">subscript</csymbol>
<ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑋</ci>
<ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝑗</ci>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle X=\bigoplus_{{j\in J}}X_{j}.}</annotation>
</semantics>
</math>
SVG (5.262 KB / 2.144 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:
Unknown MathTerm Tag: operator for \bigoplus - Reason: An unknown or missing element occurred
Translation to Mathematica
In Mathematica:
Unknown MathTerm Tag: operator for \bigoplus - Reason: An unknown or missing element occurred
Similar pages
Calculated based on the variables occurring on the entire Coproduct page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results