Jump to navigation Jump to search

General

Display information for equation id:math.228915.15 on revision:228915

* Page found: Group ring (eq math.228915.15)

(force rerendering)

Occurrences on the following pages:

Hash: d6caaa2647b6d1f90bbfe9556156fafa

TeX (original user input): 

(x,f) = \sum_{g\in G} a_g f(g),

TeX (checked): 

(x,f)=\sum _{g\in G}a_{g}f(g),

LaTeXML (experimental; uses MathML) rendering

MathML (4.361 KB / 909 B) :

( x , f ) = ∑ g ∈ G a g ⁢ f ⁢ ( g ) , 𝑥 𝑓 subscript 𝑔 𝐺 subscript 𝑎 𝑔 𝑓 𝑔 {\displaystyle(x,f)=\sum_{{g\in G}}a_{g}f(g),} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle(x,f)=\sum_{{g\in G}}a_{g}f(g),}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.16" xref="p1.1.m1.1.16.2.cmml">
      <mrow id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">
        <mrow id="p1.1.m1.1.16.2.1" xref="p1.1.m1.1.16.2.1.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.1" xref="p1.1.m1.1.16.2.1.1.cmml">(</mo>
          <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">x</mi>
          <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.16.2.1.1.cmml">,</mo>
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">f</mi>
          <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.16.2.1.1.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">=</mo>
        <mrow id="p1.1.m1.1.16.2.2" xref="p1.1.m1.1.16.2.2.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.16.2.2.1" xref="p1.1.m1.1.16.2.2.1.cmml">
            <munder id="p1.1.m1.1.16.2.2.1a" xref="p1.1.m1.1.16.2.2.1.cmml">
              <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">∑</mo>
              <mrow id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">
                <mi id="p1.1.m1.1.8.1.1" xref="p1.1.m1.1.8.1.1.cmml">g</mi>
                <mo id="p1.1.m1.1.8.1.2" xref="p1.1.m1.1.8.1.2.cmml">∈</mo>
                <mi id="p1.1.m1.1.8.1.3" xref="p1.1.m1.1.8.1.3.cmml">G</mi>
              </mrow>
            </munder>
          </mstyle>
          <mrow id="p1.1.m1.1.16.2.2.2" xref="p1.1.m1.1.16.2.2.2.cmml">
            <msub id="p1.1.m1.1.16.2.2.2.2" xref="p1.1.m1.1.16.2.2.2.2.cmml">
              <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">a</mi>
              <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">g</mi>
            </msub>
            <mo id="p1.1.m1.1.16.2.2.2.1" xref="p1.1.m1.1.16.2.2.2.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">f</mi>
            <mo id="p1.1.m1.1.16.2.2.2.1a" xref="p1.1.m1.1.16.2.2.2.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.16.2.2.2.3" xref="p1.1.m1.1.16.2.2.2.cmml">
              <mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.16.2.2.2.cmml">(</mo>
              <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">g</mi>
              <mo stretchy="false" id="p1.1.m1.1.14" xref="p1.1.m1.1.16.2.2.2.cmml">)</mo>
            </mrow>
          </mrow>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.16.2.cmml">,</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16">
        <eq id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
        <interval closure="open" id="p1.1.m1.1.16.2.1.1.cmml" xref="p1.1.m1.1.16.2.1">
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑥</ci>
          <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑓</ci>
        </interval>
        <apply id="p1.1.m1.1.16.2.2.cmml" xref="p1.1.m1.1.16.2.2">
          <apply id="p1.1.m1.1.16.2.2.1.cmml" xref="p1.1.m1.1.16.2.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.2.1.1.cmml" xref="p1.1.m1.1.16.2.2.1">subscript</csymbol>
            <sum id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
            <apply id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">
              <in id="p1.1.m1.1.8.1.2.cmml" xref="p1.1.m1.1.8.1.2"/>
              <ci id="p1.1.m1.1.8.1.1.cmml" xref="p1.1.m1.1.8.1.1">𝑔</ci>
              <ci id="p1.1.m1.1.8.1.3.cmml" xref="p1.1.m1.1.8.1.3">𝐺</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.16.2.2.2.cmml" xref="p1.1.m1.1.16.2.2.2">
            <times id="p1.1.m1.1.16.2.2.2.1.cmml" xref="p1.1.m1.1.16.2.2.2.1"/>
            <apply id="p1.1.m1.1.16.2.2.2.2.cmml" xref="p1.1.m1.1.16.2.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.2.2.2.1.cmml" xref="p1.1.m1.1.16.2.2.2.2">subscript</csymbol>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑎</ci>
              <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">𝑔</ci>
            </apply>
            <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝑓</ci>
            <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑔</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle(x,f)=\sum_{{g\in G}}a_{g}f(g),}</annotation>
  </semantics>
</math>

SVG (8.883 KB / 3.374 KB) :

left-parenthesis x comma f right-parenthesis equals sigma-summation Underscript g element-of upper G Endscripts a Subscript g Baseline times f times left-parenthesis g right-parenthesis comma

SVG (MathML can be enabled via browser plugin) rendering

MathML (1011 B / 381 B) :

( x , f ) = ∑ g ∈ G a g f ( g ) , {\displaystyle (x,f)=\sum _{g\in G}a_{g}f(g),} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle (x,f)=\sum _{g\in G}a_{g}f(g),}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mo stretchy="false">(</mo>
        <mi>x</mi>
        <mo>,</mo>
        <mi>f</mi>
        <mo stretchy="false">)</mo>
        <mo>=</mo>
        <munder>
          <mo>&#x2211;<!-- ∑ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>g</mi>
            <mo>&#x2208;<!-- ∈ --></mo>
            <mi>G</mi>
          </mrow>
        </munder>
        <msub>
          <mi>a</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>g</mi>
          </mrow>
        </msub>
        <mi>f</mi>
        <mo stretchy="false">(</mo>
        <mi>g</mi>
        <mo stretchy="false">)</mo>
        <mo>,</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle (x,f)=\sum _{g\in G}a_{g}f(g),}</annotation>
  </semantics>
</math>

SVG (7.028 KB / 3.09 KB) :

{\displaystyle (x,f)=\sum _{g\in G}a_{g}f(g),}

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 Group ring page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "https://en.formulasearchengine.com/wiki/Special:FormulaInfo"