Jump to navigation Jump to search

General

Display information for equation id:math.293790.11 on revision:293790

* Page found: Talk:Antiprism (eq math.293790.11)

(force rerendering)

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

Occurrences on the following pages:

Hash: 03f23f7c4d72bf6a368baa8f7dc66c3b

TeX (original user input):

2a^2=\cos(\pi/n)-\cos(2\pi/n)\;

TeX (checked):

2a^{2}=\cos(\pi /n)-\cos(2\pi /n)\;

LaTeXML (experimental; uses MathML) rendering

MathML (4.945 KB / 924 B) :

2 a 2 = cos ( π / n ) - cos ( 2 π / n ) 2 superscript 𝑎 2 𝜋 𝑛 2 𝜋 𝑛 {\displaystyle{\displaystyle 2a^{2}=\cos(\pi/n)-\cos(2\pi/n)\;}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle 2a^{2}=\cos(\pi/n)-\cos(2\pi/n)\;}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
      <mrow id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">
        <mn id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">2</mn>
        <mo id="p1.1.m1.1.20.1.1" xref="p1.1.m1.1.20.1.1.cmml"></mo>
        <msup id="p1.1.m1.1.20.1.2" xref="p1.1.m1.1.20.1.2.cmml">
          <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">a</mi>
          <mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">2</mn>
        </msup>
      </mrow>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
      <mrow id="p1.1.m1.1.20.2" xref="p1.1.m1.1.20.2.cmml">
        <mrow id="p1.1.m1.1.20.2.1.2" xref="p1.1.m1.1.20.2.1.1.cmml">
          <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">cos</mi>
          <mo id="p1.1.m1.1.20.2.1.2a" xref="p1.1.m1.1.20.2.1.1.cmml"></mo>
          <mrow id="p1.1.m1.1.20.2.1.2.2" xref="p1.1.m1.1.20.2.1.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.20.2.1.1.cmml">(</mo>
            <mrow id="p1.1.m1.1.20.2.1.2.1" xref="p1.1.m1.1.20.2.1.2.1.cmml">
              <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">π</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">n</mi>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.20.2.1.1.cmml">)</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">-</mo>
        <mrow id="p1.1.m1.1.20.2.2.2" xref="p1.1.m1.1.20.2.2.1.cmml">
          <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">cos</mi>
          <mo id="p1.1.m1.1.20.2.2.2a" xref="p1.1.m1.1.20.2.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.20.2.2.2.2" xref="p1.1.m1.1.20.2.2.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.13" xref="p1.1.m1.1.20.2.2.1.cmml">(</mo>
            <mrow id="p1.1.m1.1.20.2.2.2.1" xref="p1.1.m1.1.20.2.2.2.1.cmml">
              <mrow id="p1.1.m1.1.20.2.2.2.1.1" xref="p1.1.m1.1.20.2.2.2.1.1.cmml">
                <mn id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">2</mn>
                <mo id="p1.1.m1.1.20.2.2.2.1.1.1" xref="p1.1.m1.1.20.2.2.2.1.1.1.cmml"></mo>
                <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">π</mi>
              </mrow>
              <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">/</mo>
              <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">n</mi>
            </mrow>
            <mo rspace="5.3pt" stretchy="false" id="p1.1.m1.1.18" xref="p1.1.m1.1.20.2.2.1.cmml">)</mo>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">
          <times id="p1.1.m1.1.20.1.1.cmml" xref="p1.1.m1.1.20.1.1"/>
          <cn type="integer" id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">2</cn>
          <apply id="p1.1.m1.1.20.1.2.cmml" xref="p1.1.m1.1.20.1.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.20.1.2.1.cmml" xref="p1.1.m1.1.20.1.2">superscript</csymbol>
            <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑎</ci>
            <cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">2</cn>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20.2">
          <minus id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
          <apply id="p1.1.m1.1.20.2.1.1.cmml" xref="p1.1.m1.1.20.2.1.2">
            <cos id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
            <apply id="p1.1.m1.1.20.2.1.2.1.cmml" xref="p1.1.m1.1.20.2.1.2.1">
              <divide 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">𝜋</ci>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑛</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.20.2.2.1.cmml" xref="p1.1.m1.1.20.2.2.2">
            <cos id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
            <apply id="p1.1.m1.1.20.2.2.2.1.cmml" xref="p1.1.m1.1.20.2.2.2.1">
              <divide id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16"/>
              <apply id="p1.1.m1.1.20.2.2.2.1.1.cmml" xref="p1.1.m1.1.20.2.2.2.1.1">
                <times id="p1.1.m1.1.20.2.2.2.1.1.1.cmml" xref="p1.1.m1.1.20.2.2.2.1.1.1"/>
                <cn type="integer" id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">2</cn>
                <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝜋</ci>
              </apply>
              <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">𝑛</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle 2a^{2}=\cos(\pi/n)-\cos(2\pi/n)\;}}</annotation>
  </semantics>
</math>

SVG (8.39 KB / 2.911 KB) :

2 times a squared equals cosine left-parenthesis pi slash n right-parenthesis minus cosine left-parenthesis 2 times pi slash n 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: 2*(a)^(2)= cos(pi/ n)- cos(2*pi/ n)

Information about the conversion process:

\cos: Cosine; Example: \cos@@{z}

Will be translated to: cos($0)

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E2

Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=cos


\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: 2*(a)^(2)= Cos[\[Pi]/ n]- Cos[2*\[Pi]/ n]

Information about the conversion process:

\cos: Cosine; Example: \cos@@{z}

Will be translated to: Cos[$0]

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E2

Mathematica: https://reference.wolfram.com/language/ref/Cos.html


\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 Talk:Antiprism page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results