Jump to navigation Jump to search

General

Display information for equation id:math.234529.3 on revision:234529

* Page found: Ext functor (eq math.234529.3)

(force rerendering)

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

Occurrences on the following pages:

Hash: 262a4584304c4546e261209782f1c4f3

TeX (original user input):

\operatorname{Ext}_R^n(A,B)=(R^nG)(A).

TeX (checked):

\operatorname {Ext} _{R}^{n}(A,B)=(R^{n}G)(A).

LaTeXML (experimental; uses MathML) rendering

MathML (4.644 KB / 867 B) :

Ext R n ( A , B ) = ( R n G ) ( A ) . superscript subscript Ext 𝑅 𝑛 𝐴 𝐵 superscript 𝑅 𝑛 𝐺 𝐴 {\displaystyle\operatorname{Ext}_{R}^{n}(A,B)=(R^{n}G)(A).}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\operatorname{Ext}_{R}^{n}(A,B)=(R^{n}G)(A).}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.21" xref="p1.1.m1.1.21.2.cmml">
      <mrow id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.cmml">
        <mrow id="p1.1.m1.1.21.2.1.2" xref="p1.1.m1.1.21.2.1.1.cmml">
          <msubsup id="p1.1.m1.1.21.2.1.2.1" xref="p1.1.m1.1.21.2.1.2.1.cmml">
            <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">Ext</mi>
            <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">R</mi>
            <mi id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">n</mi>
          </msubsup>
          <mo id="p1.1.m1.1.21.2.1.2a" xref="p1.1.m1.1.21.2.1.1.cmml"></mo>
          <mrow id="p1.1.m1.1.21.2.1.2.2" xref="p1.1.m1.1.21.2.1.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.21.2.1.1.cmml">(</mo>
            <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">A</mi>
            <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.21.2.1.1.cmml">,</mo>
            <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">B</mi>
            <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.21.2.1.1.cmml">)</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">=</mo>
        <mrow id="p1.1.m1.1.21.2.2" xref="p1.1.m1.1.21.2.2.cmml">
          <mrow id="p1.1.m1.1.21.2.2.2" xref="p1.1.m1.1.21.2.2.2.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.21.2.2.2.2.cmml">(</mo>
            <mrow id="p1.1.m1.1.21.2.2.2.2" xref="p1.1.m1.1.21.2.2.2.2.cmml">
              <msup id="p1.1.m1.1.21.2.2.2.2.2" xref="p1.1.m1.1.21.2.2.2.2.2.cmml">
                <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">R</mi>
                <mi id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">n</mi>
              </msup>
              <mo id="p1.1.m1.1.21.2.2.2.2.1" xref="p1.1.m1.1.21.2.2.2.2.1.cmml"></mo>
              <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">G</mi>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.21.2.2.2.2.cmml">)</mo>
          </mrow>
          <mo id="p1.1.m1.1.21.2.2.1" xref="p1.1.m1.1.21.2.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.21.2.2.3" xref="p1.1.m1.1.21.2.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.21.2.2.cmml">(</mo>
            <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">A</mi>
            <mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.21.2.2.cmml">)</mo>
          </mrow>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.21.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.21.2.cmml" xref="p1.1.m1.1.21">
        <eq id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
        <apply id="p1.1.m1.1.21.2.1.1.cmml" xref="p1.1.m1.1.21.2.1.2">
          <apply id="p1.1.m1.1.21.2.1.2.1.cmml" xref="p1.1.m1.1.21.2.1.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.1.2.1.1.cmml" xref="p1.1.m1.1.21.2.1.2.1">superscript</csymbol>
            <apply id="p1.1.m1.1.21.2.1.2.1.2.cmml" xref="p1.1.m1.1.21.2.1.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.1.2.1.2.1.cmml" xref="p1.1.m1.1.21.2.1.2.1">subscript</csymbol>
              <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">Ext</ci>
              <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝑅</ci>
            </apply>
            <ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">𝑛</ci>
          </apply>
          <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝐴</ci>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝐵</ci>
        </apply>
        <apply id="p1.1.m1.1.21.2.2.cmml" xref="p1.1.m1.1.21.2.2">
          <times id="p1.1.m1.1.21.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.1"/>
          <apply id="p1.1.m1.1.21.2.2.2.2.cmml" xref="p1.1.m1.1.21.2.2.2">
            <times id="p1.1.m1.1.21.2.2.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.2.2.1"/>
            <apply id="p1.1.m1.1.21.2.2.2.2.2.cmml" xref="p1.1.m1.1.21.2.2.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.2.2.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.2.2.2">superscript</csymbol>
              <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑅</ci>
              <ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">𝑛</ci>
            </apply>
            <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝐺</ci>
          </apply>
          <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝐴</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\operatorname{Ext}_{R}^{n}(A,B)=(R^{n}G)(A).}</annotation>
  </semantics>
</math>

SVG (10.183 KB / 3.849 KB) :

upper E x t Subscript upper R Superscript n Baseline left-parenthesis upper A comma upper B right-parenthesis equals left-parenthesis upper R Superscript n Baseline times upper G right-parenthesis times left-parenthesis upper A right-parenthesis period

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:

Reached unknown latex-command \operatorname - Reason: Unknown LaTeX Command

Translation to Mathematica

In Mathematica:

Reached unknown latex-command \operatorname - Reason: Unknown LaTeX Command

Similar pages

Calculated based on the variables occurring on the entire Ext functor page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results