- formulasearchengine

General

Display information for equation id:math.243187.2 on revision:243187

* Page found: Composition operator (eq math.243187.2)

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

Occurrences on the following pages:

Hash: 49b237f4c6721af050a3412771e4cbde

TeX (original user input):

C_\phi (f) = f \circ\phi

TeX (checked):

C_{\phi }(f)=f\circ \phi

LaTeXML (experimental; uses MathML) rendering

MathML (2.345 KB / 612 B) :

C_{\phi}(f)=f\circ\phi

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle C_{\phi}(f)=f\circ\phi}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
      <mrow id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">
        <msub id="p1.1.m1.1.10.1.2" xref="p1.1.m1.1.10.1.2.cmml">
          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">C</mi>
          <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">ϕ</mi>
        </msub>
        <mo id="p1.1.m1.1.10.1.1" xref="p1.1.m1.1.10.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.10.1.3" xref="p1.1.m1.1.10.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.10.1.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.m1.1.10.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">=</mo>
      <mrow id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">
        <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">f</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">ϕ</mi>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
        <eq id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
        <apply id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">
          <times id="p1.1.m1.1.10.1.1.cmml" xref="p1.1.m1.1.10.1.1"/>
          <apply id="p1.1.m1.1.10.1.2.cmml" xref="p1.1.m1.1.10.1.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.10.1.2.1.cmml" xref="p1.1.m1.1.10.1.2">subscript</csymbol>
            <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝐶</ci>
            <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">italic-ϕ</ci>
          </apply>
          <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑓</ci>
        </apply>
        <apply id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10.2">
          <compose 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">𝑓</ci>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">italic-ϕ</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle C_{\phi}(f)=f\circ\phi}</annotation>
  </semantics>
</math>

SVG (4.979 KB / 2.054 KB) :

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) :

C_{\phi }(f)=f\circ \phi

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Cannot translate operation \circ - Reason: An unknown or missing element occurred

Translation to Mathematica

In Mathematica:

Cannot translate operation \circ - Reason: An unknown or missing element occurred

Identifiers

$C_{\phi }$

$f$

$f$

$\phi$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results