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Results of Algebraic and Analytic Methods Eq: math.63450.61

Hash: 5d7e4b91eedcee06e842d70e76adb235

TeX (original user input):

u(re^{i\theta}) = \frac{1}{2\pi}\int^{2\pi}_{0}\frac{(R^{2}-r^{2})h(Re^{i\phi})\diff{\phi}}{R^{2}-2Rr\cos@{\phi-\theta}+r^{2}}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (16.697 KB / 2.291 KB) :

{\displaystyle{\displaystyle u(re^{i\theta})=\frac{1}{2\pi}\int^{2\pi}_{0}% \frac{(R^{2}-r^{2})h(Re^{i\phi})\mathrm{d}\phi}{R^{2}-2Rr\cos\left(\phi-\theta% \right)+r^{2}}}}

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    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle u(re^{i\theta})=\frac{1}{2\pi}\int^{2\pi}_{0}%
\frac{(R^{2}-r^{2})h(Re^{i\phi})\mathrm{d}\phi}{R^{2}-2Rr\cos\left(\phi-\theta%
\right)+r^{2}}}}</annotation>
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</math>

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MathML (0 B / 8 B) :

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Translations to Computer Algebra Systems

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( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 112
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2	0.0219	1736000	wfIndexMain( )	.../index.php:46
3	0.0219	1736096	MediaWiki->run( )	.../index.php:50
4	0.0219	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0223	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0515	2009440	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 = 1685848362.5414; 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.63450.61 on revision:63450\n</p><p>* Page found: <a href="/wiki/Results_of_Algebraic_and_Analytic_Methods#math.63450.61" title="Results of Algebraic and Analytic Methods">Results of Algebraic and Analytic Methods</a> (eq math.63450.61) </p><a href="/index.php?title=Results_of_Algebraic_and_Analytic_Methods&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul'...; 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; 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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 { ... }; 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7	0.0517	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0517	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0518	2013344	FormulaInfo->DisplayInfo( $oldID = '63450', $eid = 'math.63450.61' )	.../FormulaInfo.php:45
10	0.9052	5231352	FormulaInfo::DisplayTranslations( $tex = 'u(re^{i\\theta}) = \\frac{1}{2\\pi}\\int^{2\\pi}_{0}\\frac{(R^{2}-r^{2})h(Re^{i\\phi})\\diff{\\phi}}{R^{2}-2Rr\\cos@{\\phi-\\theta}+r^{2}}' )	.../FormulaInfo.php:168
11	0.9251	5279104	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	0.0003	354792	{main}( )	.../index.php:0
2	0.0219	1736000	wfIndexMain( )	.../index.php:46
3	0.0219	1736096	MediaWiki->run( )	.../index.php:50
4	0.0219	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0223	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0515	2009440	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 = [...]; 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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.63450.61 on revision:63450\n</p><p>* Page found: <a href="/wiki/Results_of_Algebraic_and_Analytic_Methods#math.63450.61" title="Results of Algebraic and Analytic Methods">Results of Algebraic and Analytic Methods</a> (eq math.63450.61) </p><a href="/index.php?title=Results_of_Algebraic_and_Analytic_Methods&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul'...; 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 = [...]; 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private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0517	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0517	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0518	2013344	FormulaInfo->DisplayInfo( $oldID = '63450', $eid = 'math.63450.61' )	.../FormulaInfo.php:45
10	0.9052	5231352	FormulaInfo::DisplayTranslations( $tex = 'u(re^{i\\theta}) = \\frac{1}{2\\pi}\\int^{2\\pi}_{0}\\frac{(R^{2}-r^{2})h(Re^{i\\phi})\\diff{\\phi}}{R^{2}-2Rr\\cos@{\\phi-\\theta}+r^{2}}' )	.../FormulaInfo.php:168
11	0.9251	5279104	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	0.0003	354792	{main}( )	.../index.php:0
2	0.0219	1736000	wfIndexMain( )	.../index.php:46
3	0.0219	1736096	MediaWiki->run( )	.../index.php:50
4	0.0219	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0223	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0515	2009440	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 = 1685848362.5414; 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.63450.61 on revision:63450\n</p><p>* Page found: <a href="/wiki/Results_of_Algebraic_and_Analytic_Methods#math.63450.61" title="Results of Algebraic and Analytic Methods">Results of Algebraic and Analytic Methods</a> (eq math.63450.61) </p><a href="/index.php?title=Results_of_Algebraic_and_Analytic_Methods&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul'...; 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 = '20230604031242'; 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	0.0517	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0517	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0518	2013344	FormulaInfo->DisplayInfo( $oldID = '63450', $eid = 'math.63450.61' )	.../FormulaInfo.php:45
10	0.9052	5231352	FormulaInfo::DisplayTranslations( $tex = 'u(re^{i\\theta}) = \\frac{1}{2\\pi}\\int^{2\\pi}_{0}\\frac{(R^{2}-r^{2})h(Re^{i\\phi})\\diff{\\phi}}{R^{2}-2Rr\\cos@{\\phi-\\theta}+r^{2}}' )	.../FormulaInfo.php:168
11	0.9251	5279104	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	0.9348	5298464	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	0.0003	354792	{main}( )	.../index.php:0
2	0.0219	1736000	wfIndexMain( )	.../index.php:46
3	0.0219	1736096	MediaWiki->run( )	.../index.php:50
4	0.0219	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0223	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0515	2009440	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 = 1685848362.5414; 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.63450.61 on revision:63450\n</p><p>* Page found: <a href="/wiki/Results_of_Algebraic_and_Analytic_Methods#math.63450.61" title="Results of Algebraic and Analytic Methods">Results of Algebraic and Analytic Methods</a> (eq math.63450.61) </p><a href="/index.php?title=Results_of_Algebraic_and_Analytic_Methods&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul'...; 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 = '20230604031242'; 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	0.0517	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0517	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0518	2013344	FormulaInfo->DisplayInfo( $oldID = '63450', $eid = 'math.63450.61' )	.../FormulaInfo.php:45
10	0.9052	5231352	FormulaInfo::DisplayTranslations( $tex = 'u(re^{i\\theta}) = \\frac{1}{2\\pi}\\int^{2\\pi}_{0}\\frac{(R^{2}-r^{2})h(Re^{i\\phi})\\diff{\\phi}}{R^{2}-2Rr\\cos@{\\phi-\\theta}+r^{2}}' )	.../FormulaInfo.php:168
11	0.9363	5315808	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	0.0003	354792	{main}( )	.../index.php:0
2	0.0219	1736000	wfIndexMain( )	.../index.php:46
3	0.0219	1736096	MediaWiki->run( )	.../index.php:50
4	0.0219	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0223	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0515	2009440	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 = 1685848362.5414; 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.63450.61 on revision:63450\n</p><p>* Page found: <a href="/wiki/Results_of_Algebraic_and_Analytic_Methods#math.63450.61" title="Results of Algebraic and Analytic Methods">Results of Algebraic and Analytic Methods</a> (eq math.63450.61) </p><a href="/index.php?title=Results_of_Algebraic_and_Analytic_Methods&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul'...; 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 = '20230604031242'; 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	0.0517	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0517	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0518	2013344	FormulaInfo->DisplayInfo( $oldID = '63450', $eid = 'math.63450.61' )	.../FormulaInfo.php:45
10	0.9052	5231352	FormulaInfo::DisplayTranslations( $tex = 'u(re^{i\\theta}) = \\frac{1}{2\\pi}\\int^{2\\pi}_{0}\\frac{(R^{2}-r^{2})h(Re^{i\\phi})\\diff{\\phi}}{R^{2}-2Rr\\cos@{\\phi-\\theta}+r^{2}}' )	.../FormulaInfo.php:168
11	0.9363	5315808	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