Jump to navigation Jump to search

General

Display information for equation id:math.228193.1 on revision:228193

* Page found: Bialgebra (eq math.228193.1)

(force rerendering)

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

Occurrences on the following pages:

Hash: 36756e9b30896db306ef5fe6bc5885af

TeX (original user input):

(\mathrm{id}_B \otimes \epsilon) \circ \Delta = \mathrm{id}_B = (\epsilon \otimes \mathrm{id}_B) \circ \Delta

TeX (checked):

(\mathrm {id} _{B}\otimes \epsilon )\circ \Delta =\mathrm {id} _{B}=(\epsilon \otimes \mathrm {id} _{B})\circ \Delta

LaTeXML (experimental; uses MathML) rendering

MathML (5.254 KB / 985 B) :

( id B ϵ ) Δ = id B = ( ϵ id B ) Δ tensor-product subscript id 𝐵 italic-ϵ Δ subscript id 𝐵 tensor-product italic-ϵ subscript id 𝐵 Δ {\displaystyle({\mathrm{id}}_{B}\otimes\epsilon)\circ\Delta={\mathrm{id}}_{B}=% (\epsilon\otimes{\mathrm{id}}_{B})\circ\Delta}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle({\mathrm{id}}_{B}\otimes\epsilon)\circ\Delta={\mathrm{id}}_{B}=%&#10;(\epsilon\otimes{\mathrm{id}}_{B})\circ\Delta}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">
      <mrow id="p1.1.m1.1.24.2" xref="p1.1.m1.1.24.2.cmml">
        <mrow id="p1.1.m1.1.24.2.1" xref="p1.1.m1.1.24.2.1.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.1" xref="p1.1.m1.1.24.2.1.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.24.2.1.2" xref="p1.1.m1.1.24.2.1.2.cmml">
            <msub id="p1.1.m1.1.24.2.1.2.1" xref="p1.1.m1.1.24.2.1.2.1.cmml">
              <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">id</mi>
              <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">B</mi>
            </msub>
            <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml"></mo>
            <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">ϵ</mi>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.24.2.1.2.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml"></mo>
        <mi mathvariant="normal" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">Δ</mi>
      </mrow>
      <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">=</mo>
      <msub id="p1.1.m1.1.24.3" xref="p1.1.m1.1.24.3.cmml">
        <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">id</mi>
        <mi id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">B</mi>
      </msub>
      <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">=</mo>
      <mrow id="p1.1.m1.1.24.4" xref="p1.1.m1.1.24.4.cmml">
        <mrow id="p1.1.m1.1.24.4.1" xref="p1.1.m1.1.24.4.1.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.24.4.1.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.24.4.1.2" xref="p1.1.m1.1.24.4.1.2.cmml">
            <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">ϵ</mi>
            <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml"></mo>
            <msub id="p1.1.m1.1.24.4.1.2.1" xref="p1.1.m1.1.24.4.1.2.1.cmml">
              <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">id</mi>
              <mi id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">B</mi>
            </msub>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.21" xref="p1.1.m1.1.24.4.1.2.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml"></mo>
        <mi mathvariant="normal" id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">Δ</mi>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">
        <and id="p1.1.m1.1.24a.cmml" xref="p1.1.m1.1.24"/>
        <apply id="p1.1.m1.1.24b.cmml" xref="p1.1.m1.1.24">
          <eq id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
          <apply id="p1.1.m1.1.24.2.cmml" xref="p1.1.m1.1.24.2">
            <compose id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
            <apply id="p1.1.m1.1.24.2.1.2.cmml" xref="p1.1.m1.1.24.2.1">
              <csymbol cd="latexml" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">tensor-product</csymbol>
              <apply id="p1.1.m1.1.24.2.1.2.1.cmml" xref="p1.1.m1.1.24.2.1.2.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.1.2.1.1.cmml" xref="p1.1.m1.1.24.2.1.2.1">subscript</csymbol>
                <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">id</ci>
                <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝐵</ci>
              </apply>
              <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">italic-ϵ</ci>
            </apply>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">Δ</ci>
          </apply>
          <apply id="p1.1.m1.1.24.3.cmml" xref="p1.1.m1.1.24.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.24.3.1.cmml" xref="p1.1.m1.1.24.3">subscript</csymbol>
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">id</ci>
            <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">𝐵</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.24c.cmml" xref="p1.1.m1.1.24">
          <eq id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
          <share href="#p1.1.m1.1.24.3.cmml" id="p1.1.m1.1.24d.cmml" xref="p1.1.m1.1.24"/>
          <apply id="p1.1.m1.1.24.4.cmml" xref="p1.1.m1.1.24.4">
            <compose id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22"/>
            <apply id="p1.1.m1.1.24.4.1.2.cmml" xref="p1.1.m1.1.24.4.1">
              <csymbol cd="latexml" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">tensor-product</csymbol>
              <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">italic-ϵ</ci>
              <apply id="p1.1.m1.1.24.4.1.2.1.cmml" xref="p1.1.m1.1.24.4.1.2.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.24.4.1.2.1.1.cmml" xref="p1.1.m1.1.24.4.1.2.1">subscript</csymbol>
                <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">id</ci>
                <ci id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">𝐵</ci>
              </apply>
            </apply>
            <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">Δ</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle({\mathrm{id}}_{B}\otimes\epsilon)\circ\Delta={\mathrm{id}}_{B}=%
(\epsilon\otimes{\mathrm{id}}_{B})\circ\Delta}</annotation>
  </semantics>
</math>

SVG (7.532 KB / 2.516 KB) :

left-parenthesis i d Subscript upper B Baseline circled-times epsilon right-parenthesis ring normal upper Delta equals i d Subscript upper B Baseline equals left-parenthesis epsilon circled-times i d Subscript upper B Baseline right-parenthesis ring normal upper Delta

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) :


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 Bialgebra page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results