Jump to navigation Jump to search

General

Display information for equation id:math.243012.5 on revision:243012

* Page found: Irreducible component (eq math.243012.5)

(force rerendering)

Occurrences on the following pages:

Hash: 510671b8da59797f6fc79c06b7d2a237

TeX (original user input): 

F = (G_1\cap F)\cup(G_2\cap F)

TeX (checked): 

F=(G_{1}\cap F)\cup (G_{2}\cap F)

LaTeXML (experimental; uses MathML) rendering

MathML (3.609 KB / 733 B) :

F = ( G 1 ∩ F ) ∪ ( G 2 ∩ F ) 𝐹 subscript 𝐺 1 𝐹 subscript 𝐺 2 𝐹 {\displaystyle F=(G_{1}\cap F)\cup(G_{2}\cap F)} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle F=(G_{1}\cap F)\cup(G_{2}\cap F)}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">F</mi>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mrow id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">
        <mrow id="p1.1.m1.1.16.1.1" xref="p1.1.m1.1.16.1.1.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.16.1.1.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.16.1.1.2" xref="p1.1.m1.1.16.1.1.2.cmml">
            <msub id="p1.1.m1.1.16.1.1.2.1" xref="p1.1.m1.1.16.1.1.2.1.cmml">
              <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">G</mi>
              <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">1</mn>
            </msub>
            <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">∩</mo>
            <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">F</mi>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.16.1.1.2.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">∪</mo>
        <mrow id="p1.1.m1.1.16.1.2" xref="p1.1.m1.1.16.1.2.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.16.1.2.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.16.1.2.2" xref="p1.1.m1.1.16.1.2.2.cmml">
            <msub id="p1.1.m1.1.16.1.2.2.1" xref="p1.1.m1.1.16.1.2.2.1.cmml">
              <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">G</mi>
              <mn id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">2</mn>
            </msub>
            <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">∩</mo>
            <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">F</mi>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.16.1.2.2.cmml">)</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
        <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝐹</ci>
        <apply id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">
          <union id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
          <apply id="p1.1.m1.1.16.1.1.2.cmml" xref="p1.1.m1.1.16.1.1">
            <intersect id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
            <apply id="p1.1.m1.1.16.1.1.2.1.cmml" xref="p1.1.m1.1.16.1.1.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.16.1.1.2.1.1.cmml" xref="p1.1.m1.1.16.1.1.2.1">subscript</csymbol>
              <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝐺</ci>
              <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">1</cn>
            </apply>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝐹</ci>
          </apply>
          <apply id="p1.1.m1.1.16.1.2.2.cmml" xref="p1.1.m1.1.16.1.2">
            <intersect id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
            <apply id="p1.1.m1.1.16.1.2.2.1.cmml" xref="p1.1.m1.1.16.1.2.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.16.1.2.2.1.1.cmml" xref="p1.1.m1.1.16.1.2.2.1">subscript</csymbol>
              <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝐺</ci>
              <cn type="integer" id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">2</cn>
            </apply>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝐹</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle F=(G_{1}\cap F)\cup(G_{2}\cap F)}</annotation>
  </semantics>
</math>

SVG (6.729 KB / 2.51 KB) :

upper F equals left-parenthesis upper G 1 intersection upper F right-parenthesis union left-parenthesis upper G 2 intersection upper F right-parenthesis

SVG (MathML can be enabled via browser plugin) rendering

MathML (986 B / 354 B) :

F = ( G 1 ∩ F ) ∪ ( G 2 ∩ F ) {\displaystyle F=(G_{1}\cap F)\cup (G_{2}\cap F)} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle F=(G_{1}\cap F)\cup (G_{2}\cap F)}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>F</mi>
        <mo>=</mo>
        <mo stretchy="false">(</mo>
        <msub>
          <mi>G</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>1</mn>
          </mrow>
        </msub>
        <mo>&#x2229;<!-- ∩ --></mo>
        <mi>F</mi>
        <mo stretchy="false">)</mo>
        <mo>&#x222A;<!-- ∪ --></mo>
        <mo stretchy="false">(</mo>
        <msub>
          <mi>G</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>2</mn>
          </mrow>
        </msub>
        <mo>&#x2229;<!-- ∩ --></mo>
        <mi>F</mi>
        <mo stretchy="false">)</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle F=(G_{1}\cap F)\cup (G_{2}\cap F)}</annotation>
  </semantics>
</math>

SVG (5.269 KB / 2.331 KB) :

{\displaystyle F=(G_{1}\cap F)\cup (G_{2}\cap F)}

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 Irreducible component 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"