General
Display information for equation id:KLS:01.15:05 on revision:1996
* Page found: The q-derivative and q-integral (eq KLS:01.15:05)
(force rerendering)Cannot find the equation data in the database. Fetching from revision text.
Occurrences on the following pages:
Hash: f3c30066da597b4a261aec5c3eb6d0a6
TeX (original user input):
{\displaystyle
\qderiv[n]{q}@{f(\gamma x)}=\gamma^n\left(\qderiv[n]{q}f\right)(\gamma x)
}
TeX (checked):
LaTeXML (experimental; uses MathML) rendering
MathML (7.497 KB / 1.202 KB) :

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{\displaystyle\qderiv[n]{q}@{f(\gamma x)}=\gamma^{% n}\left(\qderiv[n]{q}f\right)(\gamma x)}}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">
<mrow id="p1.1.m1.1.27.1" xref="p1.1.m1.1.27.1.cmml">
<merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.1" xref="p1.1.m1.1.1b.cmml">
<mtext id="p1.1.m1.1.1a" xref="p1.1.m1.1.1b.cmml">\qderiv</mtext>
</merror>
<mo id="p1.1.m1.1.27.1.1" xref="p1.1.m1.1.27.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.27.1.2" xref="p1.1.m1.1.27.1.2.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.27.1.2.1.1.cmml">[</mo>
<mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">n</mi>
<mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.27.1.2.1.1.cmml">]</mo>
</mrow>
<mo id="p1.1.m1.1.27.1.1a" xref="p1.1.m1.1.27.1.1.cmml"></mo>
<mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">q</mi>
<mo id="p1.1.m1.1.27.1.1b" xref="p1.1.m1.1.27.1.1.cmml"></mo>
<mi mathvariant="normal" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">@</mi>
<mo id="p1.1.m1.1.27.1.1c" xref="p1.1.m1.1.27.1.1.cmml"></mo>
<mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">f</mi>
<mo id="p1.1.m1.1.27.1.1d" xref="p1.1.m1.1.27.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.27.1.3" xref="p1.1.m1.1.27.1.3.2.cmml">
<mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.27.1.3.2.cmml">(</mo>
<mrow id="p1.1.m1.1.27.1.3.2" xref="p1.1.m1.1.27.1.3.2.cmml">
<mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">γ</mi>
<mo id="p1.1.m1.1.27.1.3.2.1" xref="p1.1.m1.1.27.1.3.2.1.cmml"></mo>
<mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">x</mi>
</mrow>
<mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.27.1.3.2.cmml">)</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">=</mo>
<mrow id="p1.1.m1.1.27.2" xref="p1.1.m1.1.27.2.cmml">
<msup id="p1.1.m1.1.27.2.2" xref="p1.1.m1.1.27.2.2.cmml">
<mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">γ</mi>
<mi id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">n</mi>
</msup>
<mo id="p1.1.m1.1.27.2.1" xref="p1.1.m1.1.27.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.27.2.3" xref="p1.1.m1.1.27.2.3.2.cmml">
<mo id="p1.1.m1.1.15" xref="p1.1.m1.1.27.2.3.2.cmml">(</mo>
<mrow id="p1.1.m1.1.27.2.3.2" xref="p1.1.m1.1.27.2.3.2.cmml">
<merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.16" xref="p1.1.m1.1.16b.cmml">
<mtext id="p1.1.m1.1.16a" xref="p1.1.m1.1.16b.cmml">\qderiv</mtext>
</merror>
<mo id="p1.1.m1.1.27.2.3.2.1" xref="p1.1.m1.1.27.2.3.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.27.2.3.2.2" xref="p1.1.m1.1.27.2.3.2.2.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.27.2.3.2.2.1.1.cmml">[</mo>
<mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">n</mi>
<mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.27.2.3.2.2.1.1.cmml">]</mo>
</mrow>
<mo id="p1.1.m1.1.27.2.3.2.1a" xref="p1.1.m1.1.27.2.3.2.1.cmml"></mo>
<mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">q</mi>
<mo id="p1.1.m1.1.27.2.3.2.1b" xref="p1.1.m1.1.27.2.3.2.1.cmml"></mo>
<mi id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">f</mi>
</mrow>
<mo id="p1.1.m1.1.22" xref="p1.1.m1.1.27.2.3.2.cmml">)</mo>
</mrow>
<mo id="p1.1.m1.1.27.2.1a" xref="p1.1.m1.1.27.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.27.2.4" xref="p1.1.m1.1.27.2.4.2.cmml">
<mo stretchy="false" id="p1.1.m1.1.23" xref="p1.1.m1.1.27.2.4.2.cmml">(</mo>
<mrow id="p1.1.m1.1.27.2.4.2" xref="p1.1.m1.1.27.2.4.2.cmml">
<mi id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">γ</mi>
<mo id="p1.1.m1.1.27.2.4.2.1" xref="p1.1.m1.1.27.2.4.2.1.cmml"></mo>
<mi id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">x</mi>
</mrow>
<mo stretchy="false" id="p1.1.m1.1.26" xref="p1.1.m1.1.27.2.4.2.cmml">)</mo>
</mrow>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">
<eq id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
<apply id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27.1">
<times id="p1.1.m1.1.27.1.1.cmml" xref="p1.1.m1.1.27.1.1"/>
<ci id="p1.1.m1.1.1b.cmml" xref="p1.1.m1.1.1">
<merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
<mtext id="p1.1.m1.1.1a.cmml" xref="p1.1.m1.1.1">\qderiv</mtext>
</merror>
</ci>
<apply id="p1.1.m1.1.27.1.2.1.cmml" xref="p1.1.m1.1.27.1.2">
<csymbol cd="latexml" id="p1.1.m1.1.27.1.2.1.1.cmml" xref="p1.1.m1.1.2">delimited-[]</csymbol>
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑛</ci>
</apply>
<ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑞</ci>
<ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">@</ci>
<ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑓</ci>
<apply id="p1.1.m1.1.27.1.3.2.cmml" xref="p1.1.m1.1.27.1.3">
<times id="p1.1.m1.1.27.1.3.2.1.cmml" xref="p1.1.m1.1.27.1.3.2.1"/>
<ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝛾</ci>
<ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑥</ci>
</apply>
</apply>
<apply id="p1.1.m1.1.27.2.cmml" xref="p1.1.m1.1.27.2">
<times id="p1.1.m1.1.27.2.1.cmml" xref="p1.1.m1.1.27.2.1"/>
<apply id="p1.1.m1.1.27.2.2.cmml" xref="p1.1.m1.1.27.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.27.2.2.1.cmml" xref="p1.1.m1.1.27.2.2">superscript</csymbol>
<ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝛾</ci>
<ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">𝑛</ci>
</apply>
<apply id="p1.1.m1.1.27.2.3.2.cmml" xref="p1.1.m1.1.27.2.3">
<times id="p1.1.m1.1.27.2.3.2.1.cmml" xref="p1.1.m1.1.27.2.3.2.1"/>
<ci id="p1.1.m1.1.16b.cmml" xref="p1.1.m1.1.16">
<merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
<mtext id="p1.1.m1.1.16a.cmml" xref="p1.1.m1.1.16">\qderiv</mtext>
</merror>
</ci>
<apply id="p1.1.m1.1.27.2.3.2.2.1.cmml" xref="p1.1.m1.1.27.2.3.2.2">
<csymbol cd="latexml" id="p1.1.m1.1.27.2.3.2.2.1.1.cmml" xref="p1.1.m1.1.17">delimited-[]</csymbol>
<ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝑛</ci>
</apply>
<ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">𝑞</ci>
<ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">𝑓</ci>
</apply>
<apply id="p1.1.m1.1.27.2.4.2.cmml" xref="p1.1.m1.1.27.2.4">
<times id="p1.1.m1.1.27.2.4.2.1.cmml" xref="p1.1.m1.1.27.2.4.2.1"/>
<ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">𝛾</ci>
<ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">𝑥</ci>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{\displaystyle\qderiv[n]{q}@{f(\gamma x)}=\gamma^{%
n}\left(\qderiv[n]{q}f\right)(\gamma x)}}}</annotation>
</semantics>
</math>
SVG (12.478 KB / 3.735 KB) :
SVG with PNG fallback (MathML can be enabled via browser plugin) rendering
Failed to get svg.PNG (0 B / 8 B) :
Failed getting PNG[6d2bddac60e5834b371acb05] /index.php?title=Special:FormulaInfo&pid=1996&eid=KLS%3A01.15%3A05 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 The q-derivative and q-integral page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results