Jump to navigation Jump to search

General

Display information for equation id:math.231168.0 on revision:231168

* Page found: Matrix ring (eq math.231168.0)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 85e86e2b893019eafd94c6ab3889c958

TeX (original user input):

M=\bigoplus_{i\in I}R

TeX (checked):

M=\bigoplus _{i\in I}R

LaTeXML (experimental; uses MathML) rendering

MathML (2.241 KB / 646 B) :

M = i I R 𝑀 subscript direct-sum 𝑖 𝐼 𝑅 {\displaystyle M=\bigoplus_{{i\in I}}R}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle M=\bigoplus_{{i\in I}}R}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">M</mi>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mrow id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.6.1.1" xref="p1.1.m1.1.6.1.1.cmml">
          <munder id="p1.1.m1.1.6.1.1a" xref="p1.1.m1.1.6.1.1.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">i</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">I</mi>
            </mrow>
          </munder>
        </mstyle>
        <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">R</mi>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
        <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">𝑀</ci>
        <apply id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">
          <apply id="p1.1.m1.1.6.1.1.cmml" xref="p1.1.m1.1.6.1.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.6.1.1.1.cmml" xref="p1.1.m1.1.6.1.1">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">𝑖</ci>
              <ci id="p1.1.m1.1.4.1.3.cmml" xref="p1.1.m1.1.4.1.3">𝐼</ci>
            </apply>
          </apply>
          <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑅</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle M=\bigoplus_{{i\in I}}R}</annotation>
  </semantics>
</math>

SVG (5.611 KB / 2.465 KB) :

upper M equals circled-plus upper R

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (641 B / 320 B) :

M = i I R {\displaystyle M=\bigoplus _{i\in I}R}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle M=\bigoplus _{i\in I}R}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>M</mi>
        <mo>=</mo>
        <munder>
          <mo>&#x2A01;<!-- ⨁ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>i</mi>
            <mo>&#x2208;<!-- ∈ --></mo>
            <mi>I</mi>
          </mrow>
        </munder>
        <mi>R</mi>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle M=\bigoplus _{i\in I}R}</annotation>
  </semantics>
</math>

SVG (5.332 KB / 2.56 KB) :

{\displaystyle M=\bigoplus _{i\in I}R}

PNG (0 B / 8 B) :


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 Matrix ring page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results