- DRMF

General

Display information for equation id:math.63473.6 on revision:63473

* Page found: Results of Jacobian Elliptic Functions (eq math.63473.6)

Occurrences on the following pages:

Results of Jacobian Elliptic Functions Eq: math.63473.6

Hash: 7c436afe74c1405818057f590962dfbb

TeX (original user input):

\Jacobiellcnk@{z}{k} = \frac{\Jacobithetaq{4}@{0}{q}}{\Jacobithetaq{2}@{0}{q}}\frac{\Jacobithetaq{2}@{\zeta}{q}}{\Jacobithetaq{4}@{\zeta}{q}}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (8.889 KB / 1.299 KB) :

{\displaystyle{\displaystyle\operatorname{cn}\left(z,k\right)=\frac{\theta_{4}% \left(0,q\right)}{\theta_{2}\left(0,q\right)}\frac{\theta_{2}\left(\zeta,q% \right)}{\theta_{4}\left(\zeta,q\right)}}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\operatorname{cn}\left(z,k\right)=\frac{\theta_{4}%&#10;\left(0,q\right)}{\theta_{2}\left(0,q\right)}\frac{\theta_{2}\left(\zeta,q%&#10;\right)}{\theta_{4}\left(\zeta,q\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.m1.1.1.9.2" xref="p1.1.m1.1.1.1.cmml">
        <mi id="p1.1.m1.1.1.2.1.3" xref="p1.1.m1.1.1.2.1.1.cmml">cn</mi>
        <mo id="p1.1.m1.1.1.9.2a" xref="p1.1.m1.1.1.1.cmml">⁡</mo>
        <mrow id="p1.1.m1.1.1.9.2.1" 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>
          <mi id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">z</mi>
          <mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">,</mo>
          <mi id="p1.1.m1.1.1.7" xref="p1.1.m1.1.1.7.cmml">k</mi>
          <mo id="p1.1.m1.1.1.8" 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">
        <mstyle displaystyle="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
          <mfrac id="p1.1.m1.1.3a" xref="p1.1.m1.1.3.cmml">
            <mrow id="p1.1.m1.1.3.2.1.9.2" xref="p1.1.m1.1.3.2.1.1.cmml">
              <msub id="p1.1.m1.1.3.2.1.2.1.4" xref="p1.1.m1.1.3.2.1.2.1.1.cmml">
                <mi id="p1.1.m1.1.3.2.1.2.1.2" xref="p1.1.m1.1.3.2.1.2.1.1.1.cmml">θ</mi>
                <mn id="p1.1.m1.1.3.2.1.2.1.3.1" xref="p1.1.m1.1.3.2.1.2.1.3.1.cmml">4</mn>
              </msub>
              <mo id="p1.1.m1.1.3.2.1.9.2a" xref="p1.1.m1.1.3.2.1.1.cmml">⁡</mo>
              <mrow id="p1.1.m1.1.3.2.1.9.2.1" xref="p1.1.m1.1.3.2.1.1.cmml">
                <mo id="p1.1.m1.1.3.2.1.4" xref="p1.1.m1.1.3.2.1.1.cmml">(</mo>
                <mn id="p1.1.m1.1.3.2.1.5" xref="p1.1.m1.1.3.2.1.5.cmml">0</mn>
                <mo id="p1.1.m1.1.3.2.1.6" xref="p1.1.m1.1.3.2.1.1.cmml">,</mo>
                <mi id="p1.1.m1.1.3.2.1.7" xref="p1.1.m1.1.3.2.1.7.cmml">q</mi>
                <mo id="p1.1.m1.1.3.2.1.8" xref="p1.1.m1.1.3.2.1.1.cmml">)</mo>
              </mrow>
            </mrow>
            <mrow id="p1.1.m1.1.3.3.1.9.2" xref="p1.1.m1.1.3.3.1.1.cmml">
              <msub id="p1.1.m1.1.3.3.1.2.1.4" xref="p1.1.m1.1.3.3.1.2.1.1.cmml">
                <mi id="p1.1.m1.1.3.3.1.2.1.2" xref="p1.1.m1.1.3.3.1.2.1.1.1.cmml">θ</mi>
                <mn id="p1.1.m1.1.3.3.1.2.1.3.1" xref="p1.1.m1.1.3.3.1.2.1.3.1.cmml">2</mn>
              </msub>
              <mo id="p1.1.m1.1.3.3.1.9.2a" xref="p1.1.m1.1.3.3.1.1.cmml">⁡</mo>
              <mrow id="p1.1.m1.1.3.3.1.9.2.1" xref="p1.1.m1.1.3.3.1.1.cmml">
                <mo id="p1.1.m1.1.3.3.1.4" xref="p1.1.m1.1.3.3.1.1.cmml">(</mo>
                <mn id="p1.1.m1.1.3.3.1.5" xref="p1.1.m1.1.3.3.1.5.cmml">0</mn>
                <mo id="p1.1.m1.1.3.3.1.6" xref="p1.1.m1.1.3.3.1.1.cmml">,</mo>
                <mi id="p1.1.m1.1.3.3.1.7" xref="p1.1.m1.1.3.3.1.7.cmml">q</mi>
                <mo id="p1.1.m1.1.3.3.1.8" xref="p1.1.m1.1.3.3.1.1.cmml">)</mo>
              </mrow>
            </mrow>
          </mfrac>
        </mstyle>
        <mo id="p1.1.m1.1.5.1.1" xref="p1.1.m1.1.5.1.1.cmml">⁢</mo>
        <mstyle displaystyle="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
          <mfrac id="p1.1.m1.1.4a" xref="p1.1.m1.1.4.cmml">
            <mrow id="p1.1.m1.1.4.2.1.9.2" xref="p1.1.m1.1.4.2.1.1.cmml">
              <msub id="p1.1.m1.1.4.2.1.2.1.4" xref="p1.1.m1.1.4.2.1.2.1.1.cmml">
                <mi id="p1.1.m1.1.4.2.1.2.1.2" xref="p1.1.m1.1.4.2.1.2.1.1.1.cmml">θ</mi>
                <mn id="p1.1.m1.1.4.2.1.2.1.3.1" xref="p1.1.m1.1.4.2.1.2.1.3.1.cmml">2</mn>
              </msub>
              <mo id="p1.1.m1.1.4.2.1.9.2a" xref="p1.1.m1.1.4.2.1.1.cmml">⁡</mo>
              <mrow id="p1.1.m1.1.4.2.1.9.2.1" xref="p1.1.m1.1.4.2.1.1.cmml">
                <mo id="p1.1.m1.1.4.2.1.4" xref="p1.1.m1.1.4.2.1.1.cmml">(</mo>
                <mi id="p1.1.m1.1.4.2.1.5" xref="p1.1.m1.1.4.2.1.5.cmml">ζ</mi>
                <mo id="p1.1.m1.1.4.2.1.6" xref="p1.1.m1.1.4.2.1.1.cmml">,</mo>
                <mi id="p1.1.m1.1.4.2.1.7" xref="p1.1.m1.1.4.2.1.7.cmml">q</mi>
                <mo id="p1.1.m1.1.4.2.1.8" xref="p1.1.m1.1.4.2.1.1.cmml">)</mo>
              </mrow>
            </mrow>
            <mrow id="p1.1.m1.1.4.3.1.9.2" xref="p1.1.m1.1.4.3.1.1.cmml">
              <msub id="p1.1.m1.1.4.3.1.2.1.4" xref="p1.1.m1.1.4.3.1.2.1.1.cmml">
                <mi id="p1.1.m1.1.4.3.1.2.1.2" xref="p1.1.m1.1.4.3.1.2.1.1.1.cmml">θ</mi>
                <mn id="p1.1.m1.1.4.3.1.2.1.3.1" xref="p1.1.m1.1.4.3.1.2.1.3.1.cmml">4</mn>
              </msub>
              <mo id="p1.1.m1.1.4.3.1.9.2a" xref="p1.1.m1.1.4.3.1.1.cmml">⁡</mo>
              <mrow id="p1.1.m1.1.4.3.1.9.2.1" xref="p1.1.m1.1.4.3.1.1.cmml">
                <mo id="p1.1.m1.1.4.3.1.4" xref="p1.1.m1.1.4.3.1.1.cmml">(</mo>
                <mi id="p1.1.m1.1.4.3.1.5" xref="p1.1.m1.1.4.3.1.5.cmml">ζ</mi>
                <mo id="p1.1.m1.1.4.3.1.6" xref="p1.1.m1.1.4.3.1.1.cmml">,</mo>
                <mi id="p1.1.m1.1.4.3.1.7" xref="p1.1.m1.1.4.3.1.7.cmml">q</mi>
                <mo id="p1.1.m1.1.4.3.1.8" xref="p1.1.m1.1.4.3.1.1.cmml">)</mo>
              </mrow>
            </mrow>
          </mfrac>
        </mstyle>
      </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.m1.1.1.9.2">
          <csymbol cd="dlmf" id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.3">Jacobi-elliptic-cn</csymbol>
          <ci id="p1.1.m1.1.1.5.cmml" xref="p1.1.m1.1.1.5">𝑧</ci>
          <ci id="p1.1.m1.1.1.7.cmml" xref="p1.1.m1.1.1.7">𝑘</ci>
        </apply>
        <apply id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">
          <times id="p1.1.m1.1.5.1.1.cmml" xref="p1.1.m1.1.5.1.1"/>
          <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
            <divide id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3"/>
            <apply id="p1.1.m1.1.3.2.1.1.cmml" xref="p1.1.m1.1.3.2.1.9.2">
              <apply id="p1.1.m1.1.3.2.1.2.1.1.cmml" xref="p1.1.m1.1.3.2.1.2.1.4">
                <csymbol cd="dlmf" id="p1.1.m1.1.3.2.1.2.1.1.1.cmml" xref="p1.1.m1.1.3.2.1.2.1.2">Jacobi-theta</csymbol>
                <cn type="integer" id="p1.1.m1.1.3.2.1.2.1.3.1.cmml" xref="p1.1.m1.1.3.2.1.2.1.3.1">4</cn>
              </apply>
              <cn type="integer" id="p1.1.m1.1.3.2.1.5.cmml" xref="p1.1.m1.1.3.2.1.5">0</cn>
              <ci id="p1.1.m1.1.3.2.1.7.cmml" xref="p1.1.m1.1.3.2.1.7">𝑞</ci>
            </apply>
            <apply id="p1.1.m1.1.3.3.1.1.cmml" xref="p1.1.m1.1.3.3.1.9.2">
              <apply id="p1.1.m1.1.3.3.1.2.1.1.cmml" xref="p1.1.m1.1.3.3.1.2.1.4">
                <csymbol cd="dlmf" id="p1.1.m1.1.3.3.1.2.1.1.1.cmml" xref="p1.1.m1.1.3.3.1.2.1.2">Jacobi-theta</csymbol>
                <cn type="integer" id="p1.1.m1.1.3.3.1.2.1.3.1.cmml" xref="p1.1.m1.1.3.3.1.2.1.3.1">2</cn>
              </apply>
              <cn type="integer" id="p1.1.m1.1.3.3.1.5.cmml" xref="p1.1.m1.1.3.3.1.5">0</cn>
              <ci id="p1.1.m1.1.3.3.1.7.cmml" xref="p1.1.m1.1.3.3.1.7">𝑞</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
            <divide id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4"/>
            <apply id="p1.1.m1.1.4.2.1.1.cmml" xref="p1.1.m1.1.4.2.1.9.2">
              <apply id="p1.1.m1.1.4.2.1.2.1.1.cmml" xref="p1.1.m1.1.4.2.1.2.1.4">
                <csymbol cd="dlmf" id="p1.1.m1.1.4.2.1.2.1.1.1.cmml" xref="p1.1.m1.1.4.2.1.2.1.2">Jacobi-theta</csymbol>
                <cn type="integer" id="p1.1.m1.1.4.2.1.2.1.3.1.cmml" xref="p1.1.m1.1.4.2.1.2.1.3.1">2</cn>
              </apply>
              <ci id="p1.1.m1.1.4.2.1.5.cmml" xref="p1.1.m1.1.4.2.1.5">𝜁</ci>
              <ci id="p1.1.m1.1.4.2.1.7.cmml" xref="p1.1.m1.1.4.2.1.7">𝑞</ci>
            </apply>
            <apply id="p1.1.m1.1.4.3.1.1.cmml" xref="p1.1.m1.1.4.3.1.9.2">
              <apply id="p1.1.m1.1.4.3.1.2.1.1.cmml" xref="p1.1.m1.1.4.3.1.2.1.4">
                <csymbol cd="dlmf" id="p1.1.m1.1.4.3.1.2.1.1.1.cmml" xref="p1.1.m1.1.4.3.1.2.1.2">Jacobi-theta</csymbol>
                <cn type="integer" id="p1.1.m1.1.4.3.1.2.1.3.1.cmml" xref="p1.1.m1.1.4.3.1.2.1.3.1">4</cn>
              </apply>
              <ci id="p1.1.m1.1.4.3.1.5.cmml" xref="p1.1.m1.1.4.3.1.5">𝜁</ci>
              <ci id="p1.1.m1.1.4.3.1.7.cmml" xref="p1.1.m1.1.4.3.1.7">𝑞</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\operatorname{cn}\left(z,k\right)=\frac{\theta_{4}%
\left(0,q\right)}{\theta_{2}\left(0,q\right)}\frac{\theta_{2}\left(\zeta,q%
\right)}{\theta_{4}\left(\zeta,q\right)}}}</annotation>
  </semantics>
</math>

SVG (13.595 KB / 4.132 KB) :

SVG (MathML can be enabled via browser plugin) rendering

MathML (0 B / 8 B) :

Failed to get svg.

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

( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 112
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0269	1735680	wfIndexMain( )	.../index.php:46
3	0.0269	1735776	MediaWiki->run( )	.../index.php:50
4	0.0269	1735776	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0274	1749144	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0500	2009120	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1685731465.6582; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63473.6 on revision:63473\n</p><p>* Page found: <a href="/wiki/Results_of_Jacobian_Elliptic_Functions#math.63473.6" title="Results of Jacobian Elliptic Functions">Results of Jacobian Elliptic Functions</a> (eq math.63473.6) </p><a href="/index.php?title=Results_of_Jacobian_Elliptic_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230602184425'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0501	2013024	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0501	2013024	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0501	2013024	FormulaInfo->DisplayInfo( $oldID = '63473', $eid = 'math.63473.6' )	.../FormulaInfo.php:45
10	0.7485	5135920	FormulaInfo::DisplayTranslations( $tex = '\\Jacobiellcnk@{z}{k} = \\frac{\\Jacobithetaq{4}@{0}{q}}{\\Jacobithetaq{2}@{0}{q}}\\frac{\\Jacobithetaq{2}@{\\zeta}{q}}{\\Jacobithetaq{4}@{\\zeta}{q}}' )	.../FormulaInfo.php:168
11	0.7671	5183672	FormulaInfo::PrintTranslationResult( $cas = 'Maple', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:90

( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 115
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0269	1735680	wfIndexMain( )	.../index.php:46
3	0.0269	1735776	MediaWiki->run( )	.../index.php:50
4	0.0269	1735776	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0274	1749144	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0500	2009120	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1685731465.6582; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63473.6 on revision:63473\n</p><p>* Page found: <a href="/wiki/Results_of_Jacobian_Elliptic_Functions#math.63473.6" title="Results of Jacobian Elliptic Functions">Results of Jacobian Elliptic Functions</a> (eq math.63473.6) </p><a href="/index.php?title=Results_of_Jacobian_Elliptic_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230602184425'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0501	2013024	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0501	2013024	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0501	2013024	FormulaInfo->DisplayInfo( $oldID = '63473', $eid = 'math.63473.6' )	.../FormulaInfo.php:45
10	0.7485	5135920	FormulaInfo::DisplayTranslations( $tex = '\\Jacobiellcnk@{z}{k} = \\frac{\\Jacobithetaq{4}@{0}{q}}{\\Jacobithetaq{2}@{0}{q}}\\frac{\\Jacobithetaq{2}@{\\zeta}{q}}{\\Jacobithetaq{4}@{\\zeta}{q}}' )	.../FormulaInfo.php:168
11	0.7671	5183672	FormulaInfo::PrintTranslationResult( $cas = 'Maple', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:90

( ! ) Deprecated: str_replace(): Passing null to parameter #3 ($subject) of type array\|string is deprecated in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 115
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0269	1735680	wfIndexMain( )	.../index.php:46
3	0.0269	1735776	MediaWiki->run( )	.../index.php:50
4	0.0269	1735776	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0274	1749144	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0500	2009120	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1685731465.6582; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63473.6 on revision:63473\n</p><p>* Page found: <a href="/wiki/Results_of_Jacobian_Elliptic_Functions#math.63473.6" title="Results of Jacobian Elliptic Functions">Results of Jacobian Elliptic Functions</a> (eq math.63473.6) </p><a href="/index.php?title=Results_of_Jacobian_Elliptic_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230602184425'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0501	2013024	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0501	2013024	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0501	2013024	FormulaInfo->DisplayInfo( $oldID = '63473', $eid = 'math.63473.6' )	.../FormulaInfo.php:45
10	0.7485	5135920	FormulaInfo::DisplayTranslations( $tex = '\\Jacobiellcnk@{z}{k} = \\frac{\\Jacobithetaq{4}@{0}{q}}{\\Jacobithetaq{2}@{0}{q}}\\frac{\\Jacobithetaq{2}@{\\zeta}{q}}{\\Jacobithetaq{4}@{\\zeta}{q}}' )	.../FormulaInfo.php:168
11	0.7671	5183672	FormulaInfo::PrintTranslationResult( $cas = 'Maple', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:90
12	0.7762	5203032	str_replace( $search = '\n', $replace = '\n\n', $subject = NULL )	.../FormulaInfo.php:115

( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 112
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0269	1735680	wfIndexMain( )	.../index.php:46
3	0.0269	1735776	MediaWiki->run( )	.../index.php:50
4	0.0269	1735776	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0274	1749144	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0500	2009120	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1685731465.6582; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63473.6 on revision:63473\n</p><p>* Page found: <a href="/wiki/Results_of_Jacobian_Elliptic_Functions#math.63473.6" title="Results of Jacobian Elliptic Functions">Results of Jacobian Elliptic Functions</a> (eq math.63473.6) </p><a href="/index.php?title=Results_of_Jacobian_Elliptic_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230602184425'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0501	2013024	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0501	2013024	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0501	2013024	FormulaInfo->DisplayInfo( $oldID = '63473', $eid = 'math.63473.6' )	.../FormulaInfo.php:45
10	0.7485	5135920	FormulaInfo::DisplayTranslations( $tex = '\\Jacobiellcnk@{z}{k} = \\frac{\\Jacobithetaq{4}@{0}{q}}{\\Jacobithetaq{2}@{0}{q}}\\frac{\\Jacobithetaq{2}@{\\zeta}{q}}{\\Jacobithetaq{4}@{\\zeta}{q}}' )	.../FormulaInfo.php:168
11	0.7783	5220376	FormulaInfo::PrintTranslationResult( $cas = 'Mathematica', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:91

( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 115
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0269	1735680	wfIndexMain( )	.../index.php:46
3	0.0269	1735776	MediaWiki->run( )	.../index.php:50
4	0.0269	1735776	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0274	1749144	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0500	2009120	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1685731465.6582; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63473.6 on revision:63473\n</p><p>* Page found: <a href="/wiki/Results_of_Jacobian_Elliptic_Functions#math.63473.6" title="Results of Jacobian Elliptic Functions">Results of Jacobian Elliptic Functions</a> (eq math.63473.6) </p><a href="/index.php?title=Results_of_Jacobian_Elliptic_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230602184425'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0501	2013024	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0501	2013024	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0501	2013024	FormulaInfo->DisplayInfo( $oldID = '63473', $eid = 'math.63473.6' )	.../FormulaInfo.php:45
10	0.7485	5135920	FormulaInfo::DisplayTranslations( $tex = '\\Jacobiellcnk@{z}{k} = \\frac{\\Jacobithetaq{4}@{0}{q}}{\\Jacobithetaq{2}@{0}{q}}\\frac{\\Jacobithetaq{2}@{\\zeta}{q}}{\\Jacobithetaq{4}@{\\zeta}{q}}' )	.../FormulaInfo.php:168
11	0.7783	5220376	FormulaInfo::PrintTranslationResult( $cas = 'Mathematica', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:91

General

LaTeXML (experimental; uses MathML) rendering

SVG (MathML can be enabled via browser plugin) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

General

LaTeXML (experimental; uses MathML) rendering

SVG (MathML can be enabled via browser plugin) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

Search