Jump to navigation Jump to search

General

Display information for equation id:math.222938.1 on revision:222938

* Page found: Complement (set theory) (eq math.222938.1)

(force rerendering)

Occurrences on the following pages:

Hash: 81b397bc452806dbddab34aed9e52b9a

TeX (original user input):

B \setminus A = \{ x\in B \, | \, x \notin A \}.

TeX (checked):

B\setminus A=\{x\in B\,|\,x\notin A\}.

LaTeXML (experimental; uses MathML) rendering

MathML (3.14 KB / 735 B) :

B A = { x B | x A } . 𝐵 𝐴 conditional-set 𝑥 𝐵 𝑥 𝐴 {\displaystyle{\displaystyle B\setminus A=\{x\in B\,|\,x\notin A\}.}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle B\setminus A=\{x\in B\,|\,x\notin A\}.}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.17" xref="p1.1.m1.1.17.2.cmml">
      <mrow id="p1.1.m1.1.17.2" xref="p1.1.m1.1.17.2.cmml">
        <mrow id="p1.1.m1.1.17.2.1" xref="p1.1.m1.1.17.2.1.cmml">
          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">B</mi>
          <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml"></mo>
          <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">A</mi>
        </mrow>
        <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
        <mrow id="p1.1.m1.1.17.2.2" xref="p1.1.m1.1.17.2.2.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.17.2.2.1.1.cmml">{</mo>
          <mrow id="p1.1.m1.1.17.2.2.2" xref="p1.1.m1.1.17.2.2.2.cmml">
            <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">x</mi>
            <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml"></mo>
            <mpadded width="+1.7pt" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
              <mi id="p1.1.m1.1.8a" xref="p1.1.m1.1.8.cmml">B</mi>
            </mpadded>
          </mrow>
          <mo rspace="4.2pt" stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.17.2.2.1.1.cmml">|</mo>
          <mrow id="p1.1.m1.1.17.2.2.3" xref="p1.1.m1.1.17.2.2.3.cmml">
            <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">x</mi>
            <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">A</mi>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.17.2.2.1.1.cmml">}</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.17.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.17.2.cmml" xref="p1.1.m1.1.17">
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.17.2.1.cmml" xref="p1.1.m1.1.17.2.1">
          <setdiff 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">𝐵</ci>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝐴</ci>
        </apply>
        <apply id="p1.1.m1.1.17.2.2.1.cmml" xref="p1.1.m1.1.17.2.2">
          <csymbol cd="latexml" id="p1.1.m1.1.17.2.2.1.1.cmml" xref="p1.1.m1.1.5">conditional-set</csymbol>
          <apply id="p1.1.m1.1.17.2.2.2.cmml" xref="p1.1.m1.1.17.2.2.2">
            <in id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
            <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑥</ci>
            <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝐵</ci>
          </apply>
          <apply id="p1.1.m1.1.17.2.2.3.cmml" xref="p1.1.m1.1.17.2.2.3">
            <notin id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑥</ci>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝐴</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle B\setminus A=\{x\in B\,|\,x\notin A\}.}}</annotation>
  </semantics>
</math>

SVG (7.437 KB / 2.827 KB) :

upper B minus upper A equals StartSet x element-of upper B vertical-bar x not-an-element-of upper A EndSet period

SVG (MathML can be enabled via browser plugin) rendering

MathML (955 B / 390 B) :

B A = { x B | x A } . {\displaystyle B\setminus A=\{x\in B\,|\,x\notin A\}.}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle B\setminus A=\{x\in B\,|\,x\notin A\}.}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>B</mi>
        <mo class="MJX-variant">&#x2216;<!-- ∖ --></mo>
        <mi>A</mi>
        <mo>=</mo>
        <mo fence="false" stretchy="false">{</mo>
        <mi>x</mi>
        <mo>&#x2208;<!-- ∈ --></mo>
        <mi>B</mi>
        <mspace width="thinmathspace" />
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mspace width="thinmathspace" />
        <mi>x</mi>
        <mo>&#x2209;<!-- ∉ --></mo>
        <mi>A</mi>
        <mo fence="false" stretchy="false">}</mo>
        <mo>.</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle B\setminus A=\{x\in B\,|\,x\notin A\}.}</annotation>
  </semantics>
</math>

SVG (6.11 KB / 2.613 KB) :

{\displaystyle B\setminus A=\{x\in B\,|\,x\notin A\}.}

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 Complement (set theory) page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results