Jump to navigation Jump to search

General

Display information for equation id:math.63453.127 on revision:63453

* Page found: Results of Elementary Functions (eq math.63453.127)

(force rerendering)

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

Occurrences on the following pages:

Hash: df025a48f4b51c56ce4e8a4cb66f1050

TeX (original user input):

|\sinh@@{y}| <= |\sin@@{z}|\leq\cosh@@{y}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (3.398 KB / 696 B) :

| sinh y | | sin z | cosh y 𝑦 𝑧 𝑦 {\displaystyle{\displaystyle|\sinh y|<=|\sin z|\leq\cosh y}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle|\sinh y|&lt;=|\sin z|\leq\cosh y}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
      <mrow id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.1.cmml">
        <mo stretchy="false" id="p1.1.m1.1.1" xref="p1.1.m1.1.11.2.1.1.cmml">|</mo>
        <mrow id="p1.1.m1.1.2.5" xref="p1.1.m1.1.2.1.cmml">
          <mi id="p1.1.m1.1.2.2.1.2" xref="p1.1.m1.1.2.2.1.1.cmml">sinh</mi>
          <mo id="p1.1.m1.1.2.5a" xref="p1.1.m1.1.2.1.cmml"></mo>
          <mi id="p1.1.m1.1.2.4" xref="p1.1.m1.1.2.4.cmml">y</mi>
        </mrow>
        <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.11.2.1.1.cmml">|</mo>
      </mrow>
      <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml"></mo>
      <mrow id="p1.1.m1.1.11.3" xref="p1.1.m1.1.11.3.1.cmml">
        <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.11.3.1.1.cmml">|</mo>
        <mrow id="p1.1.m1.1.7.5" xref="p1.1.m1.1.7.1.cmml">
          <mi id="p1.1.m1.1.7.2.1.2" xref="p1.1.m1.1.7.2.1.1.cmml">sin</mi>
          <mo id="p1.1.m1.1.7.5a" xref="p1.1.m1.1.7.1.cmml"></mo>
          <mi id="p1.1.m1.1.7.4" xref="p1.1.m1.1.7.4.cmml">z</mi>
        </mrow>
        <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.11.3.1.1.cmml">|</mo>
      </mrow>
      <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml"></mo>
      <mrow id="p1.1.m1.1.10.5" xref="p1.1.m1.1.10.1.cmml">
        <mi id="p1.1.m1.1.10.2.1.2" xref="p1.1.m1.1.10.2.1.1.cmml">cosh</mi>
        <mo id="p1.1.m1.1.10.5a" xref="p1.1.m1.1.10.1.cmml"></mo>
        <mi id="p1.1.m1.1.10.4" xref="p1.1.m1.1.10.4.cmml">y</mi>
      </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">
          <leq id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
          <apply id="p1.1.m1.1.11.2.1.cmml" xref="p1.1.m1.1.11.2">
            <abs id="p1.1.m1.1.11.2.1.1.cmml" xref="p1.1.m1.1.1"/>
            <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.5">
              <sinh id="p1.1.m1.1.2.2.1.1.cmml" xref="p1.1.m1.1.2.2.1.2"/>
              <ci id="p1.1.m1.1.2.4.cmml" xref="p1.1.m1.1.2.4">𝑦</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.11.3.1.cmml" xref="p1.1.m1.1.11.3">
            <abs id="p1.1.m1.1.11.3.1.1.cmml" xref="p1.1.m1.1.6"/>
            <apply id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.5">
              <sin id="p1.1.m1.1.7.2.1.1.cmml" xref="p1.1.m1.1.7.2.1.2"/>
              <ci id="p1.1.m1.1.7.4.cmml" xref="p1.1.m1.1.7.4">𝑧</ci>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.11c.cmml" xref="p1.1.m1.1.11">
          <leq id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
          <share href="#p1.1.m1.1.11.3.cmml" id="p1.1.m1.1.11d.cmml" xref="p1.1.m1.1.11"/>
          <apply id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.5">
            <cosh id="p1.1.m1.1.10.2.1.1.cmml" xref="p1.1.m1.1.10.2.1.2"/>
            <ci id="p1.1.m1.1.10.4.cmml" xref="p1.1.m1.1.10.4">𝑦</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle|\sinh y|&lt;=|\sin z|\leq\cosh y}}</annotation>
  </semantics>
</math>

SVG (7.805 KB / 2.813 KB) :

{\displaystyle{\displaystyle|\sinh y|<=|\sin z|\leq\cosh y}}

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

[14560729b6a4f9266de76e43] /index.php?title=Special:FormulaInfo&pid=63453&eid=math.63453.127 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 Elementary Functions page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results