- formulasearchengine

General

Display information for equation id:math.228195.6 on revision:228195

* Page found: Coproduct (eq math.228195.6)

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

Occurrences on the following pages:

Hash: 4a9088660daa79ede755cf29577aaae0

TeX (original user input):

(f\circ i_j)_{j \in J}.

TeX (checked):

(f\circ i_{j})_{j\in J}.

LaTeXML (experimental; uses MathML) rendering

MathML (2.547 KB / 635 B) :

{\displaystyle(f\circ i_{j})_{{j\in J}}.}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle(f\circ i_{j})_{{j\in J}}.}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.2.cmml">
      <msub id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">
        <mrow id="p1.1.m1.1.9.2.2" xref="p1.1.m1.1.9.2.2.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.1" xref="p1.1.m1.1.9.2.2.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.9.2.2.2" xref="p1.1.m1.1.9.2.2.2.cmml">
            <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">f</mi>
            <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">∘</mo>
            <msub id="p1.1.m1.1.9.2.2.2.1" xref="p1.1.m1.1.9.2.2.2.1.cmml">
              <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">i</mi>
              <mi id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">j</mi>
            </msub>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.9.2.2.2.cmml">)</mo>
        </mrow>
        <mrow id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">
          <mi id="p1.1.m1.1.7.1.1" xref="p1.1.m1.1.7.1.1.cmml">j</mi>
          <mo id="p1.1.m1.1.7.1.2" xref="p1.1.m1.1.7.1.2.cmml">∈</mo>
          <mi id="p1.1.m1.1.7.1.3" xref="p1.1.m1.1.7.1.3.cmml">J</mi>
        </mrow>
      </msub>
      <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.9.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9">
        <csymbol cd="ambiguous" id="p1.1.m1.1.9.2.1.cmml" xref="p1.1.m1.1.9">subscript</csymbol>
        <apply id="p1.1.m1.1.9.2.2.2.cmml" xref="p1.1.m1.1.9.2.2">
          <compose id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑓</ci>
          <apply id="p1.1.m1.1.9.2.2.2.1.cmml" xref="p1.1.m1.1.9.2.2.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.9.2.2.2.1.1.cmml" xref="p1.1.m1.1.9.2.2.2.1">subscript</csymbol>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑖</ci>
            <ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">𝑗</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">
          <in id="p1.1.m1.1.7.1.2.cmml" xref="p1.1.m1.1.7.1.2"/>
          <ci id="p1.1.m1.1.7.1.1.cmml" xref="p1.1.m1.1.7.1.1">𝑗</ci>
          <ci id="p1.1.m1.1.7.1.3.cmml" xref="p1.1.m1.1.7.1.3">𝐽</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle(f\circ i_{j})_{{j\in J}}.}</annotation>
  </semantics>
</math>

SVG (5.859 KB / 2.335 KB) :

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

PNG (0 B / 8 B) :

(f\circ i_{j})_{j\in J}.

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Cannot translate operation \circ - Reason: An unknown or missing element occurred

Translation to Mathematica

In Mathematica:

Cannot translate operation \circ - Reason: An unknown or missing element occurred

Identifiers

$f$

$i_{j}$

$j$

$J$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results