Jump to navigation Jump to search

General

Display information for equation id:math.229476.9 on revision:229476

* Page found: Group algebra (eq math.229476.9)

(force rerendering)

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

Occurrences on the following pages:

Hash: 2242cb08eb78044bdac83fb06392b32c

TeX (original user input):

 \|\pi (f)\| \leq \| f \|_1,

TeX (checked):

\|\pi (f)\|\leq \|f\|_{1},

LaTeXML (experimental; uses MathML) rendering

MathML (3.05 KB / 687 B) :

π ( f ) f 1 , norm 𝜋 𝑓 subscript norm 𝑓 1 {\displaystyle{\displaystyle\|\pi(f)\|\leq\|f\|_{1},}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\|\pi(f)\|\leq\|f\|_{1},}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.13" xref="p1.1.m1.1.13.2.cmml">
      <mrow id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.2.cmml">
        <mrow id="p1.1.m1.1.13.2.1" xref="p1.1.m1.1.13.2.1.1.cmml">
          <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.13.2.1.1.1.cmml"></mo>
          <mrow id="p1.1.m1.1.13.2.1.2" xref="p1.1.m1.1.13.2.1.2.cmml">
            <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">π</mi>
            <mo id="p1.1.m1.1.13.2.1.2.1" xref="p1.1.m1.1.13.2.1.2.1.cmml"></mo>
            <mrow id="p1.1.m1.1.13.2.1.2.2" xref="p1.1.m1.1.13.2.1.2.cmml">
              <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.13.2.1.2.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.m1.1.13.2.1.2.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.13.2.1.1.1.cmml"></mo>
        </mrow>
        <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml"></mo>
        <msub id="p1.1.m1.1.13.2.2" xref="p1.1.m1.1.13.2.2.cmml">
          <mrow id="p1.1.m1.1.13.2.2.2" xref="p1.1.m1.1.13.2.2.2.1.cmml">
            <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.13.2.2.2.1.1.cmml"></mo>
            <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">f</mi>
            <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.13.2.2.2.1.1.cmml"></mo>
          </mrow>
          <mn id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">1</mn>
        </msub>
      </mrow>
      <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.13.2.cmml">,</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.13.2.cmml" xref="p1.1.m1.1.13">
        <leq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
        <apply id="p1.1.m1.1.13.2.1.1.cmml" xref="p1.1.m1.1.13.2.1">
          <csymbol cd="latexml" id="p1.1.m1.1.13.2.1.1.1.cmml" xref="p1.1.m1.1.1">norm</csymbol>
          <apply id="p1.1.m1.1.13.2.1.2.cmml" xref="p1.1.m1.1.13.2.1.2">
            <times id="p1.1.m1.1.13.2.1.2.1.cmml" xref="p1.1.m1.1.13.2.1.2.1"/>
            <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝜋</ci>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑓</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.13.2.2.cmml" xref="p1.1.m1.1.13.2.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.13.2.2.1.cmml" xref="p1.1.m1.1.13.2.2">subscript</csymbol>
          <apply id="p1.1.m1.1.13.2.2.2.1.cmml" xref="p1.1.m1.1.13.2.2.2">
            <csymbol cd="latexml" id="p1.1.m1.1.13.2.2.2.1.1.cmml" xref="p1.1.m1.1.8">norm</csymbol>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑓</ci>
          </apply>
          <cn type="integer" id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">1</cn>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\|\pi(f)\|\leq\|f\|_{1},}}</annotation>
  </semantics>
</math>

SVG (5.581 KB / 2.085 KB) :

parallel-to pi times left-parenthesis f right-parenthesis parallel-to less-than-or-equal-to parallel-to f parallel-to Subscript 1 Baseline comma

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: abs(pi*(f)*)<= abs(f)[1],

Information about the conversion process:

\pi: Could be the ratio of a circle's circumference to its diameter == Archimedes' constant.

But it is also a Greek letter. Be aware, that this program translated the letter as a normal Greek letter and not as a constant!
Use the DLMF-Macro \cpi to translate \pi as a constant.



Translation to Mathematica

In Mathematica: Abs[\[Pi]*(f)*]<= Subscript[Abs[f], 1],

Information about the conversion process:

\pi: Could be the ratio of a circle's circumference to its diameter == Archimedes' constant.

But it is also a Greek letter. Be aware, that this program translated the letter as a normal Greek letter and not as a constant!
Use the DLMF-Macro \cpi to translate \pi as a constant.



Similar pages

Calculated based on the variables occurring on the entire Group algebra page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results