Jump to navigation Jump to search

General

Display information for equation id:math.224333.9 on revision:224333

* Page found: Exact sequence (eq math.224333.9)

(force rerendering)

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

Occurrences on the following pages:

Hash: 6fe8da1b0f822278151ae2b6e08e7e51

TeX (original user input):

0\to \Bbb{Z} \;\xrightarrow{2\cdot}\; \Bbb{Z} \to \Bbb{Z}/2\Bbb{Z}\to 0

TeX (checked):

0\to {\mathbb {Z}}\;{\xrightarrow {2\cdot }}\;{\mathbb {Z}}\to {\mathbb {Z}}/2{\mathbb {Z}}\to 0

LaTeXML (experimental; uses MathML) rendering

MathML (4.179 KB / 890 B) :

0 2 / 2 0 0 fragments 2 2 0 {\displaystyle 0\to{\mathbb{Z}}\;{\xrightarrow{2\cdot}}\;{\mathbb{Z}}\to{% \mathbb{Z}}/2{\mathbb{Z}}\to 0}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle 0\to{\mathbb{Z}}\;{\xrightarrow{2\cdot}}\;{\mathbb{Z}}\to{%&#10;\mathbb{Z}}/2{\mathbb{Z}}\to 0}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">
      <mn id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">0</mn>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml"></mo>
      <mpadded width="+2.8pt" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
        <mi id="p1.1.m1.1.3a" xref="p1.1.m1.1.3.cmml"></mi>
      </mpadded>
      <mpadded width="+2.8pt" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
        <mover accent="true" id="p1.1.m1.1.5a" xref="p1.1.m1.1.5.cmml">
          <mo id="p1.1.m1.1.5.3" xref="p1.1.m1.1.5.3.cmml"></mo>
          <mrow id="p1.1.m1.1.5.4" xref="p1.1.m1.1.5.4.cmml">
            <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">2</mn>
            <mo id="p1.1.m1.1.5.2" xref="p1.1.m1.1.5.2.cmml"></mo>
          </mrow>
        </mover>
      </mpadded>
      <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml"></mi>
      <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml"></mo>
      <mrow id="p1.1.m1.1.15.2" xref="p1.1.m1.1.15.2.cmml">
        <mrow id="p1.1.m1.1.15.2.2" xref="p1.1.m1.1.15.2.2.cmml">
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml"></mi>
          <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">/</mo>
          <mn id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">2</mn>
        </mrow>
        <mo id="p1.1.m1.1.15.2.1" xref="p1.1.m1.1.15.2.1.cmml"></mo>
        <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml"></mi>
      </mrow>
      <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml"></mo>
      <mn id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">0</mn>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">
        <and id="p1.1.m1.1.15a.cmml" xref="p1.1.m1.1.15"/>
        <apply id="p1.1.m1.1.15b.cmml" xref="p1.1.m1.1.15">
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"></ci>
          <cn type="integer" id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">0</cn>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"></ci>
        </apply>
        <apply id="p1.1.m1.1.15c.cmml" xref="p1.1.m1.1.15">
          <apply id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">
            <cerror id="p1.1.m1.1.5.4.cmml" xref="p1.1.m1.1.5.4">
              <csymbol cd="ambiguous" id="p1.1.m1.1.5.4a.cmml" xref="p1.1.m1.1.5.4">fragments</csymbol>
              <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">2</cn>
              <ci id="p1.1.m1.1.5.2.cmml" xref="p1.1.m1.1.5.2"></ci>
            </cerror>
            <ci id="p1.1.m1.1.5.3.cmml" xref="p1.1.m1.1.5.3"></ci>
          </apply>
          <share href="#p1.1.m1.1.3.cmml" id="p1.1.m1.1.15d.cmml" xref="p1.1.m1.1.15"/>
          <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"></ci>
        </apply>
        <apply id="p1.1.m1.1.15e.cmml" xref="p1.1.m1.1.15">
          <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"></ci>
          <share href="#p1.1.m1.1.7.cmml" id="p1.1.m1.1.15f.cmml" xref="p1.1.m1.1.15"/>
          <apply id="p1.1.m1.1.15.2.cmml" xref="p1.1.m1.1.15.2">
            <times id="p1.1.m1.1.15.2.1.cmml" xref="p1.1.m1.1.15.2.1"/>
            <apply id="p1.1.m1.1.15.2.2.cmml" xref="p1.1.m1.1.15.2.2">
              <divide id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"></ci>
              <cn type="integer" id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">2</cn>
            </apply>
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"></ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.15g.cmml" xref="p1.1.m1.1.15">
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"></ci>
          <share href="#p1.1.m1.1.15.2.cmml" id="p1.1.m1.1.15h.cmml" xref="p1.1.m1.1.15"/>
          <cn type="integer" id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">0</cn>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle 0\to{\mathbb{Z}}\;{\xrightarrow{2\cdot}}\;{\mathbb{Z}}\to{%
\mathbb{Z}}/2{\mathbb{Z}}\to 0}</annotation>
  </semantics>
</math>

SVG (4.892 KB / 1.761 KB) :

0 right-arrow double-struck upper Z right-arrow Overscript 2 dot Endscripts double-struck upper Z right-arrow double-struck upper Z slash 2 times double-struck upper Z right-arrow 0

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:

Unknown CAS!

Translation to Mathematica

In Mathematica:

Unknown CAS!

Similar pages

Calculated based on the variables occurring on the entire Exact sequence page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results