Jump to navigation Jump to search

General

Display information for equation id:math.245369.1 on revision:245369

* Page found: Affine hull (eq math.245369.1)

(force rerendering)

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

Occurrences on the following pages:

Hash: c801ce5b21359270312f95b01040b08f

TeX (original user input):

\mathrm{aff}(\mathrm{aff}(S)) = \mathrm{aff}(S)

TeX (checked):

\mathrm {aff} (\mathrm {aff} (S))=\mathrm {aff} (S)

LaTeXML (experimental; uses MathML) rendering

MathML (3.005 KB / 611 B) :

aff ( aff ( S ) ) = aff ( S ) aff aff 𝑆 aff 𝑆 {\displaystyle{\mathrm{aff}}({\mathrm{aff}}(S))={\mathrm{aff}}(S)}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\mathrm{aff}}({\mathrm{aff}}(S))={\mathrm{aff}}(S)}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
      <mrow id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">
        <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">aff</mi>
        <mo id="p1.1.m1.1.19.1.1" xref="p1.1.m1.1.19.1.1.cmml"></mo>
        <mrow id="p1.1.m1.1.19.1.2" xref="p1.1.m1.1.19.1.2.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.19.1.2.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.19.1.2.2" xref="p1.1.m1.1.19.1.2.2.cmml">
            <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">aff</mi>
            <mo id="p1.1.m1.1.19.1.2.2.1" xref="p1.1.m1.1.19.1.2.2.1.cmml"></mo>
            <mrow id="p1.1.m1.1.19.1.2.2.2" xref="p1.1.m1.1.19.1.2.2.cmml">
              <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.19.1.2.2.cmml">(</mo>
              <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">S</mi>
              <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.19.1.2.2.cmml">)</mo>
            </mrow>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.19.1.2.2.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">=</mo>
      <mrow id="p1.1.m1.1.19.2" xref="p1.1.m1.1.19.2.cmml">
        <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">aff</mi>
        <mo id="p1.1.m1.1.19.2.1" xref="p1.1.m1.1.19.2.1.cmml"></mo>
        <mrow id="p1.1.m1.1.19.2.2" xref="p1.1.m1.1.19.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.19.2.cmml">(</mo>
          <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">S</mi>
          <mo stretchy="false" id="p1.1.m1.1.18" xref="p1.1.m1.1.19.2.cmml">)</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">
        <eq id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
        <apply id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">
          <times id="p1.1.m1.1.19.1.1.cmml" xref="p1.1.m1.1.19.1.1"/>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">aff</ci>
          <apply id="p1.1.m1.1.19.1.2.2.cmml" xref="p1.1.m1.1.19.1.2">
            <times id="p1.1.m1.1.19.1.2.2.1.cmml" xref="p1.1.m1.1.19.1.2.2.1"/>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">aff</ci>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑆</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.19.2.cmml" xref="p1.1.m1.1.19.2">
          <times id="p1.1.m1.1.19.2.1.cmml" xref="p1.1.m1.1.19.2.1"/>
          <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">aff</ci>
          <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">𝑆</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\mathrm{aff}}({\mathrm{aff}}(S))={\mathrm{aff}}(S)}</annotation>
  </semantics>
</math>

SVG (5.518 KB / 1.887 KB) :

a f f times left-parenthesis a f f times left-parenthesis upper S right-parenthesis right-parenthesis equals a f f times left-parenthesis upper S right-parenthesis

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: a*f*f*(a*f*f*(S))= a*f*f*(S)

Information about the conversion process:


Translation to Mathematica

In Mathematica: a*f*f*(a*f*f*(S))= a*f*f*(S)

Information about the conversion process:


Similar pages

Calculated based on the variables occurring on the entire Affine hull page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results