Jump to navigation Jump to search

General

Display information for equation id:math.2559.8 on revision:2559

* Page found: Concrete category (eq math.2559.8)

(force rerendering)

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

Occurrences on the following pages:

Hash: 4c411c9cd56a0a2132317d40502e5dfd

TeX (original user input):

\rho(A)=\{y \in Y : \exists x{\in}A~.~xRy\}

TeX (checked):

\rho (A)=\{y\in Y:\exists x{\in }A~.~xRy\}

LaTeXML (experimental; uses MathML) rendering

MathML (4.688 KB / 979 B) :

ρ ( A ) = { y Y : x A . x R y } 𝜌 𝐴 conditional-set 𝑦 𝑌 formulae-sequence 𝑥 𝐴 𝑥 𝑅 𝑦 {\displaystyle\rho(A)=\{y\in Y:\exists x{\in}A~{}.~{}xRy\}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\rho(A)=\{y\in Y:\exists x{\in}A~{}.~{}xRy\}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
      <mrow id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">ρ</mi>
        <mo id="p1.1.m1.1.22.1.1" xref="p1.1.m1.1.22.1.1.cmml"></mo>
        <mrow id="p1.1.m1.1.22.1.2" xref="p1.1.m1.1.22.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.22.1.cmml">(</mo>
          <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">A</mi>
          <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.22.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">=</mo>
      <mrow id="p1.1.m1.1.22.2" xref="p1.1.m1.1.22.2.1.cmml">
        <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.22.2.1.1.cmml">{</mo>
        <mrow id="p1.1.m1.1.22.2.2" xref="p1.1.m1.1.22.2.2.cmml">
          <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">y</mi>
          <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml"></mo>
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">Y</mi>
        </mrow>
        <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.22.2.1.1.cmml">:</mo>
        <mrow id="p1.1.m1.1.22.2.3" xref="p1.1.m1.1.22.2.3.1.cmml">
          <mrow id="p1.1.m1.1.22.2.3.2" xref="p1.1.m1.1.22.2.3.2.cmml">
            <mrow id="p1.1.m1.1.22.2.3.2.1" xref="p1.1.m1.1.22.2.3.2.1.cmml">
              <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml"></mo>
              <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">x</mi>
            </mrow>
            <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml"></mo>
            <mpadded width="+3.3pt" id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">
              <mi id="p1.1.m1.1.14a" xref="p1.1.m1.1.14.cmml">A</mi>
            </mpadded>
          </mrow>
          <mo rspace="5.8pt" id="p1.1.m1.1.16" xref="p1.1.m1.1.22.2.3.1a.cmml">.</mo>
          <mrow id="p1.1.m1.1.22.2.3.3" xref="p1.1.m1.1.22.2.3.3.cmml">
            <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">x</mi>
            <mo id="p1.1.m1.1.22.2.3.3.1" xref="p1.1.m1.1.22.2.3.3.1.cmml"></mo>
            <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">R</mi>
            <mo id="p1.1.m1.1.22.2.3.3.1a" xref="p1.1.m1.1.22.2.3.3.1.cmml"></mo>
            <mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">y</mi>
          </mrow>
        </mrow>
        <mo stretchy="false" id="p1.1.m1.1.21" xref="p1.1.m1.1.22.2.1.1.cmml">}</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
        <eq id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
        <apply id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">
          <times id="p1.1.m1.1.22.1.1.cmml" xref="p1.1.m1.1.22.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝜌</ci>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝐴</ci>
        </apply>
        <apply id="p1.1.m1.1.22.2.1.cmml" xref="p1.1.m1.1.22.2">
          <csymbol cd="latexml" id="p1.1.m1.1.22.2.1.1.cmml" xref="p1.1.m1.1.6">conditional-set</csymbol>
          <apply id="p1.1.m1.1.22.2.2.cmml" xref="p1.1.m1.1.22.2.2">
            <in id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑦</ci>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑌</ci>
          </apply>
          <apply id="p1.1.m1.1.22.2.3.1.cmml" xref="p1.1.m1.1.22.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.22.2.3.1a.cmml" xref="p1.1.m1.1.16">formulae-sequence</csymbol>
            <apply id="p1.1.m1.1.22.2.3.2.cmml" xref="p1.1.m1.1.22.2.3.2">
              <in id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
              <apply id="p1.1.m1.1.22.2.3.2.1.cmml" xref="p1.1.m1.1.22.2.3.2.1">
                <exists id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
                <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑥</ci>
              </apply>
              <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝐴</ci>
            </apply>
            <apply id="p1.1.m1.1.22.2.3.3.cmml" xref="p1.1.m1.1.22.2.3.3">
              <times id="p1.1.m1.1.22.2.3.3.1.cmml" xref="p1.1.m1.1.22.2.3.3.1"/>
              <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝑥</ci>
              <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">𝑅</ci>
              <ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">𝑦</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\rho(A)=\{y\in Y:\exists x{\in}A~{}.~{}xRy\}}</annotation>
  </semantics>
</math>

SVG (10.753 KB / 4.147 KB) :

rho times left-parenthesis upper A right-parenthesis equals StartSet y element-of upper Y colon there-exists x element-of upper A period x times upper R times y EndSet

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:

Empty math term tag - Reason: An unknown or missing element occurred

Translation to Mathematica

In Mathematica:

Empty math term tag - Reason: An unknown or missing element occurred

Similar pages

Calculated based on the variables occurring on the entire Concrete category page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results