Jump to navigation Jump to search

General

Display information for equation id:math.63450.37 on revision:63450

* Page found: Results of Algebraic and Analytic Methods (eq math.63450.37)

(force rerendering)

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

Occurrences on the following pages:

Hash: 4137907e548c22dfeb1a2cc26aaadd82

TeX (original user input): 

\omega = \atan@{|y/x|}\in\left[0,\tfrac{1}{2}\pi\right]

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (4.414 KB / 968 B) :

ω = arctan ⁡ ( | y / x | ) ∈ [ 0 , 1 2 ⁢ π ] 𝜔 𝑦 𝑥 0 1 2 𝜋 {\displaystyle{\displaystyle\omega=\operatorname{arctan}\left(|y/x|\right)\in% \left[0,\tfrac{1}{2}\pi\right]}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\omega=\operatorname{arctan}\left(|y/x|\right)\in%&#10;\left[0,\tfrac{1}{2}\pi\right]}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">ω</mi>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mrow id="p1.1.m1.1.3.7.2" xref="p1.1.m1.1.3.1.cmml">
        <mi id="p1.1.m1.1.3.2.1.7" xref="p1.1.m1.1.3.2.1.1.cmml">arctan</mi>
        <mo id="p1.1.m1.1.3.7.2a" xref="p1.1.m1.1.3.1.cmml">⁡</mo>
        <mrow id="p1.1.m1.1.3.7.2.1" xref="p1.1.m1.1.3.1.cmml">
          <mo id="p1.1.m1.1.3.4" xref="p1.1.m1.1.3.1.cmml">(</mo>
          <mrow id="p1.1.m1.1.3.5" xref="p1.1.m1.1.3.5.6.cmml">
            <mo stretchy="false" id="p1.1.m1.1.3.5.1" xref="p1.1.m1.1.3.5.6.1.cmml">|</mo>
            <mrow id="p1.1.m1.1.3.5.7" xref="p1.1.m1.1.3.5.7.cmml">
              <mi id="p1.1.m1.1.3.5.2" xref="p1.1.m1.1.3.5.2.cmml">y</mi>
              <mo id="p1.1.m1.1.3.5.3" xref="p1.1.m1.1.3.5.3.cmml">/</mo>
              <mi id="p1.1.m1.1.3.5.4" xref="p1.1.m1.1.3.5.4.cmml">x</mi>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.3.5.5" xref="p1.1.m1.1.3.5.6.1.cmml">|</mo>
          </mrow>
          <mo id="p1.1.m1.1.3.6" xref="p1.1.m1.1.3.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">∈</mo>
      <mrow id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.1.cmml">
        <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.11.2.1.cmml">[</mo>
        <mn id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">0</mn>
        <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.11.2.1.cmml">,</mo>
        <mrow id="p1.1.m1.1.11.2.2" xref="p1.1.m1.1.11.2.2.cmml">
          <mfrac id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
            <mn id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">1</mn>
            <mn id="p1.1.m1.1.8.3" xref="p1.1.m1.1.8.3.cmml">2</mn>
          </mfrac>
          <mo id="p1.1.m1.1.11.2.2.1" xref="p1.1.m1.1.11.2.2.1.cmml">⁢</mo>
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">π</mi>
        </mrow>
        <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.11.2.1.cmml">]</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
        <and id="p1.1.m1.1.11a.cmml" xref="p1.1.m1.1.11"/>
        <apply id="p1.1.m1.1.11b.cmml" xref="p1.1.m1.1.11">
          <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝜔</ci>
          <apply id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.7.2">
            <arctan id="p1.1.m1.1.3.2.1.1.cmml" xref="p1.1.m1.1.3.2.1.7"/>
            <apply id="p1.1.m1.1.3.5.6.cmml" xref="p1.1.m1.1.3.5">
              <abs id="p1.1.m1.1.3.5.6.1.cmml" xref="p1.1.m1.1.3.5.1"/>
              <apply id="p1.1.m1.1.3.5.7.cmml" xref="p1.1.m1.1.3.5.7">
                <divide id="p1.1.m1.1.3.5.3.cmml" xref="p1.1.m1.1.3.5.3"/>
                <ci id="p1.1.m1.1.3.5.2.cmml" xref="p1.1.m1.1.3.5.2">𝑦</ci>
                <ci id="p1.1.m1.1.3.5.4.cmml" xref="p1.1.m1.1.3.5.4">𝑥</ci>
              </apply>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.11c.cmml" xref="p1.1.m1.1.11">
          <in id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
          <share href="#p1.1.m1.1.3.cmml" id="p1.1.m1.1.11d.cmml" xref="p1.1.m1.1.11"/>
          <interval closure="closed" id="p1.1.m1.1.11.2.1.cmml" xref="p1.1.m1.1.11.2">
            <cn type="integer" id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">0</cn>
            <apply id="p1.1.m1.1.11.2.2.cmml" xref="p1.1.m1.1.11.2.2">
              <times id="p1.1.m1.1.11.2.2.1.cmml" xref="p1.1.m1.1.11.2.2.1"/>
              <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
                <divide id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8"/>
                <cn type="integer" id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">1</cn>
                <cn type="integer" id="p1.1.m1.1.8.3.cmml" xref="p1.1.m1.1.8.3">2</cn>
              </apply>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝜋</ci>
            </apply>
          </interval>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\omega=\operatorname{arctan}\left(|y/x|\right)\in%
\left[0,\tfrac{1}{2}\pi\right]}}</annotation>
  </semantics>
</math>

SVG (12.073 KB / 4.648 KB) :

{\displaystyle{\displaystyle\omega=\operatorname{arctan}\left(|y/x|\right)\in% \left[0,\tfrac{1}{2}\pi\right]}}

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (0 B / 8 B) :

Failed to get svg.

PNG (0 B / 8 B) :

Failed getting PNG

[760997f848d7f1016d6ccfda] /index.php?title=Special:FormulaInfo&pid=63450&eid=math.63450.37 MWException: TeX input is invalid.

Backtrace:

from /var/www/html/extensions/Math/src/MathRestbaseInterface.php(125)
#0 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(418): MediaWiki\Extension\Math\MathRestbaseInterface->calculateHash()
#1 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(116): MediaWiki\Extension\Math\MathRestbaseInterface->getContentRequest(string)
#2 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(250): MediaWiki\Extension\Math\MathRestbaseInterface->getContent(string)
#3 /var/www/html/extensions/Math/src/MathRenderer.php(655): MediaWiki\Extension\Math\MathRestbaseInterface->getSvg()
#4 /var/www/html/extensions/Math/src/MathMathML.php(377): MediaWiki\Extension\Math\MathRenderer->getSvg()
#5 /var/www/html/extensions/Math/src/MathMathML.php(418): MediaWiki\Extension\Math\MathMathML->correctSvgStyle(NULL)
#6 /var/www/html/extensions/Math/src/MathMathML.php(500): MediaWiki\Extension\Math\MathMathML->getFallbackImage()
#7 /var/www/html/extensions/MathSearch/includes/FormulaInfo.php(302): MediaWiki\Extension\Math\MathMathML->getHtmlOutput()
#8 /var/www/html/extensions/MathSearch/includes/FormulaInfo.php(166): FormulaInfo->DisplayRendering(string, string)
#9 /var/www/html/extensions/MathSearch/includes/FormulaInfo.php(45): FormulaInfo->DisplayInfo(string, string)
#10 /var/www/html/includes/specialpage/SpecialPage.php(690): FormulaInfo->execute(NULL)
#11 /var/www/html/includes/specialpage/SpecialPageFactory.php(1423): SpecialPage->run(NULL)
#12 /var/www/html/includes/MediaWiki.php(316): MediaWiki\SpecialPage\SpecialPageFactory->executePath(string, RequestContext)
#13 /var/www/html/includes/MediaWiki.php(911): MediaWiki->performRequest()
#14 /var/www/html/includes/MediaWiki.php(568): MediaWiki->main()
#15 /var/www/html/index.php(50): MediaWiki->run()
#16 /var/www/html/index.php(46): wfIndexMain()
#17 {main}


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Results of Algebraic and Analytic Methods page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "https://drmf-beta.wmflabs.org/wiki/Special:FormulaInfo"