- DRMF

General

Display information for equation id:math.63446.17 on revision:63446

* Page found: Results of Error Functions, Dawson’s and Fresnel Integrals (eq math.63446.17)

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

Occurrences on the following pages:

Hash: dc640b0c432b8befd9541983ec732c63

TeX (original user input):

\Fresnelsinint@{-z} = -\Fresnelsinint@{z}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (2.755 KB / 633 B) :

{\displaystyle{\displaystyle S\left(-z\right)=-S\left(z\right)}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle S\left(-z\right)=-S\left(z\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
      <mrow id="p1.1.m1.1.1.7.2" xref="p1.1.m1.1.1.1.cmml">
        <mi id="p1.1.m1.1.1.2.1.2" xref="p1.1.m1.1.1.2.1.1.cmml">S</mi>
        <mo id="p1.1.m1.1.1.7.2a" xref="p1.1.m1.1.1.1.cmml">⁡</mo>
        <mrow id="p1.1.m1.1.1.7.2.1" xref="p1.1.m1.1.1.1.cmml">
          <mo id="p1.1.m1.1.1.4" xref="p1.1.m1.1.1.1.cmml">(</mo>
          <mrow id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">
            <mo id="p1.1.m1.1.1.5.1" xref="p1.1.m1.1.1.5.1.cmml">-</mo>
            <mi id="p1.1.m1.1.1.5.2" xref="p1.1.m1.1.1.5.2.cmml">z</mi>
          </mrow>
          <mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mrow id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">
        <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">-</mo>
        <mrow id="p1.1.m1.1.4.7.2" xref="p1.1.m1.1.4.1.cmml">
          <mi id="p1.1.m1.1.4.2.1.2" xref="p1.1.m1.1.4.2.1.1.cmml">S</mi>
          <mo id="p1.1.m1.1.4.7.2a" xref="p1.1.m1.1.4.1.cmml">⁡</mo>
          <mrow id="p1.1.m1.1.4.7.2.1" xref="p1.1.m1.1.4.1.cmml">
            <mo id="p1.1.m1.1.4.4" xref="p1.1.m1.1.4.1.cmml">(</mo>
            <mi id="p1.1.m1.1.4.5" xref="p1.1.m1.1.4.5.cmml">z</mi>
            <mo id="p1.1.m1.1.4.6" xref="p1.1.m1.1.4.1.cmml">)</mo>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">
        <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.7.2">
          <csymbol cd="dlmf" id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.2">Fresnel-sine-integral</csymbol>
          <apply id="p1.1.m1.1.1.5.cmml" xref="p1.1.m1.1.1.5">
            <minus id="p1.1.m1.1.1.5.1.cmml" xref="p1.1.m1.1.1.5.1"/>
            <ci id="p1.1.m1.1.1.5.2.cmml" xref="p1.1.m1.1.1.5.2">𝑧</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">
          <minus id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
          <apply id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.7.2">
            <csymbol cd="dlmf" id="p1.1.m1.1.4.2.1.1.cmml" xref="p1.1.m1.1.4.2.1.2">Fresnel-sine-integral</csymbol>
            <ci id="p1.1.m1.1.4.5.cmml" xref="p1.1.m1.1.4.5">𝑧</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle S\left(-z\right)=-S\left(z\right)}}</annotation>
  </semantics>
</math>

SVG (4.656 KB / 1.692 KB) :

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

[e9f1df91394d263b687b4853] /index.php?title=Special:FormulaInfo&pid=63446&eid=math.63446.17 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:

Identifiers

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results