<br />
<b>Deprecated</b>:  $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 127] in <b>/var/www/html/w/includes/Debug/MWDebug.php</b> on line <b>372</b><br />
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix schema: <http://schema.org/> .
@prefix cc: <http://creativecommons.org/ns#> .
@prefix geo: <http://www.opengis.net/ont/geosparql#> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix wd: <https://drmf-beta.wmflabs.org/entity/> .
@prefix data: <https://drmf-beta.wmflabs.org/wiki/Special:EntityData/> .
@prefix wds: <https://drmf-beta.wmflabs.org/entity/statement/> .
@prefix wdref: <https://drmf-beta.wmflabs.org/reference/> .
@prefix wdv: <https://drmf-beta.wmflabs.org/value/> .
@prefix wdt: <https://drmf-beta.wmflabs.org/prop/direct/> .
@prefix wdtn: <https://drmf-beta.wmflabs.org/prop/direct-normalized/> .
@prefix p: <https://drmf-beta.wmflabs.org/prop/> .
@prefix ps: <https://drmf-beta.wmflabs.org/prop/statement/> .
@prefix psv: <https://drmf-beta.wmflabs.org/prop/statement/value/> .
@prefix psn: <https://drmf-beta.wmflabs.org/prop/statement/value-normalized/> .
@prefix pq: <https://drmf-beta.wmflabs.org/prop/qualifier/> .
@prefix pqv: <https://drmf-beta.wmflabs.org/prop/qualifier/value/> .
@prefix pqn: <https://drmf-beta.wmflabs.org/prop/qualifier/value-normalized/> .
@prefix pr: <https://drmf-beta.wmflabs.org/prop/reference/> .
@prefix prv: <https://drmf-beta.wmflabs.org/prop/reference/value/> .
@prefix prn: <https://drmf-beta.wmflabs.org/prop/reference/value-normalized/> .
@prefix wdno: <https://drmf-beta.wmflabs.org/prop/novalue/> .

data:Q4183 a schema:Dataset ;
	schema:about wd:Q4183 ;
	cc:license <http://creativecommons.org/publicdomain/zero/1.0/> ;
	schema:softwareVersion "1.0.0" ;
	schema:version "56711"^^xsd:integer ;
	schema:dateModified "2020-01-02T13:19:55Z"^^xsd:dateTime ;
	wikibase:statements "11"^^xsd:integer ;
	wikibase:sitelinks "0"^^xsd:integer ;
	wikibase:identifiers "1"^^xsd:integer .

wd:Q4183 a wikibase:Item ;
	wdt:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\paraV&#039;@{-\\tfrac{1}{2}\\mu^{2}}{\\mu t\\sqrt{2}}\\asympexp\\frac{\\mu\\sqrt{2}g(\\mu)(1-t^{2})^{\\frac{1}{4}}}{\\EulerGamma@{\\tfrac{1}{2}+\\tfrac{1}{2}\\mu^{2}}}\\*\\left(\\sin@@{\\chi}\\sum_{s=0}^{\\infty}(-1)^{s}\\frac{\\widetilde{\\cal{B}}_{2s}(t)}{\\mu^{4s}}+\\cos@@{\\chi}\\sum_{s=0}^{\\infty}(-1)^{s}\\frac{\\widetilde{\\cal{B}}_{2s+1}(t)}{\\mu^{4s+2}}\\right),}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	wdt:P2 "DLMF:12.10.E21" ;
	wdt:P4 wd:Q10197,
		wd:Q10931,
		wd:Q10164,
		wd:Q11517,
		wd:Q10163,
		wd:Q11526,
		wd:Q11533,
		wd:Q11532,
		wd:Q10365 ;
	p:P1 wds:Q4183-A60E7826-B308-47EF-A3E5-2B0195E9A903 .

wds:Q4183-A60E7826-B308-47EF-A3E5-2B0195E9A903 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\paraV&#039;@{-\\tfrac{1}{2}\\mu^{2}}{\\mu t\\sqrt{2}}\\asympexp\\frac{\\mu\\sqrt{2}g(\\mu)(1-t^{2})^{\\frac{1}{4}}}{\\EulerGamma@{\\tfrac{1}{2}+\\tfrac{1}{2}\\mu^{2}}}\\*\\left(\\sin@@{\\chi}\\sum_{s=0}^{\\infty}(-1)^{s}\\frac{\\widetilde{\\cal{B}}_{2s}(t)}{\\mu^{4s}}+\\cos@@{\\chi}\\sum_{s=0}^{\\infty}(-1)^{s}\\frac{\\widetilde{\\cal{B}}_{2s+1}(t)}{\\mu^{4s+2}}\\right),}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> .

wd:Q4183 p:P2 wds:Q4183-1E125983-09AF-4C65-B072-4C8C497E05C0 .

wds:Q4183-1E125983-09AF-4C65-B072-4C8C497E05C0 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P2 "DLMF:12.10.E21" .

wd:Q4183 p:P4 wds:Q4183-F29CA743-709C-4BB1-B47A-A92212E180B7 .

wds:Q4183-F29CA743-709C-4BB1-B47A-A92212E180B7 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10197 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\EulerGamma@{\\NVar{z}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C5.S2.E1.m2addec" .

wd:Q4183 p:P4 wds:Q4183-9292E5D4-A4CC-43B6-8C5B-C9492C9F8C45 .

wds:Q4183-9292E5D4-A4CC-43B6-8C5B-C9492C9F8C45 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10931 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\asympexp}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C2.S1.SS3.p1.m11aidec" .

wd:Q4183 p:P4 wds:Q4183-890EF0D1-ACA9-428E-8F0E-0DA412EDBCD4 .

wds:Q4183-890EF0D1-ACA9-428E-8F0E-0DA412EDBCD4 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10164 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\cos@@{\\NVar{z}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C4.S14.E2.m2acdec" .

wd:Q4183 p:P4 wds:Q4183-3724CC54-2171-465B-8248-8466CC307E73 .

wds:Q4183-3724CC54-2171-465B-8248-8466CC307E73 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11517 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\paraV@{\\NVar{a}}{\\NVar{z}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C12.S2.SS1.p1.m2acdec" .

wd:Q4183 p:P4 wds:Q4183-0FDA8237-21A0-42E0-839F-73FF5C0E0CFD .

wds:Q4183-0FDA8237-21A0-42E0-839F-73FF5C0E0CFD a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10163 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\sin@@{\\NVar{z}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C4.S14.E1.m2acdec" .

wd:Q4183 p:P4 wds:Q4183-8E547894-10E2-4F22-9350-B3F3E3957772 .

wds:Q4183-8E547894-10E2-4F22-9350-B3F3E3957772 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11526 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle s}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C12.S1.XMD5.m1odec" .

wd:Q4183 p:P4 wds:Q4183-933A6E42-59AA-490E-9383-A5C1CFA1DA6D .

wds:Q4183-933A6E42-59AA-490E-9383-A5C1CFA1DA6D a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11533 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\chi}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C12.S10.XMD11.m1adec" .

wd:Q4183 p:P4 wds:Q4183-85C393E5-4286-4A43-B127-270E5FBCEA64 .

wds:Q4183-85C393E5-4286-4A43-B127-270E5FBCEA64 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11532 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\widetilde{\\mathcal{B}}_{s}(t)}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C12.S10.XMD14.m1adec" .

wd:Q4183 p:P4 wds:Q4183-4AB8FE7F-50D9-4714-9B80-A8B23693102D .

wds:Q4183-4AB8FE7F-50D9-4714-9B80-A8B23693102D a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10365 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle g(\\mu)}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C12.S10.XMD7.m1hdec" .

wd:Q4183 rdfs:label "DLMF:12.10.E21"@en ;
	skos:prefLabel "DLMF:12.10.E21"@en ;
	schema:name "DLMF:12.10.E21"@en .

wd:P1 a wikibase:Property ;
	rdfs:label "Defining formula"@en ;
	skos:prefLabel "Defining formula"@en ;
	schema:name "Defining formula"@en ;
	schema:description "The formula defining a mathematical concept or identity"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#Contentmath> ;
	wikibase:directClaim wdt:P1 ;
	wikibase:claim p:P1 ;
	wikibase:statementProperty ps:P1 ;
	wikibase:statementValue psv:P1 ;
	wikibase:qualifier pq:P1 ;
	wikibase:qualifierValue pqv:P1 ;
	wikibase:reference pr:P1 ;
	wikibase:referenceValue prv:P1 ;
	wikibase:novalue wdno:P1 .

p:P1 a owl:ObjectProperty .

psv:P1 a owl:ObjectProperty .

pqv:P1 a owl:ObjectProperty .

prv:P1 a owl:ObjectProperty .

wdt:P1 a owl:DatatypeProperty .

ps:P1 a owl:DatatypeProperty .

pq:P1 a owl:DatatypeProperty .

pr:P1 a owl:DatatypeProperty .

wdno:P1 a owl:Class ;
	owl:complementOf _:b96ec5135b6832e1d84209d72460276b .

_:b96ec5135b6832e1d84209d72460276b a owl:Restriction ;
	owl:onProperty wdt:P1 ;
	owl:someValuesFrom owl:Thing .

wd:P2 a wikibase:Property ;
	rdfs:label "DLMF id"@en ;
	skos:prefLabel "DLMF id"@en ;
	schema:name "DLMF id"@en ;
	schema:description "Link to the DLMF"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#ExternalId> ;
	wikibase:directClaim wdt:P2 ;
	wikibase:claim p:P2 ;
	wikibase:statementProperty ps:P2 ;
	wikibase:statementValue psv:P2 ;
	wikibase:qualifier pq:P2 ;
	wikibase:qualifierValue pqv:P2 ;
	wikibase:reference pr:P2 ;
	wikibase:referenceValue prv:P2 ;
	wikibase:novalue wdno:P2 ;
	wikibase:directClaimNormalized wdtn:P2 ;
	wikibase:statementValueNormalized psn:P2 ;
	wikibase:qualifierValueNormalized pqn:P2 ;
	wikibase:referenceValueNormalized prn:P2 .

p:P2 a owl:ObjectProperty .

psv:P2 a owl:ObjectProperty .

pqv:P2 a owl:ObjectProperty .

prv:P2 a owl:ObjectProperty .

wdt:P2 a owl:DatatypeProperty .

ps:P2 a owl:DatatypeProperty .

pq:P2 a owl:DatatypeProperty .

pr:P2 a owl:DatatypeProperty .

psn:P2 a owl:ObjectProperty .

pqn:P2 a owl:ObjectProperty .

prn:P2 a owl:ObjectProperty .

wdtn:P2 a owl:ObjectProperty .

wdno:P2 a owl:Class ;
	owl:complementOf _:1f05fece3ad482b53eed1f5510da49fa .

_:1f05fece3ad482b53eed1f5510da49fa a owl:Restriction ;
	owl:onProperty wdt:P2 ;
	owl:someValuesFrom owl:Thing .

wd:Q10197 a wikibase:Item ;
	rdfs:label "gamma function"@en ;
	skos:prefLabel "gamma function"@en ;
	schema:name "gamma function"@en .

wd:P4 a wikibase:Property ;
	rdfs:label "Symbols used"@en ;
	skos:prefLabel "Symbols used"@en ;
	schema:name "Symbols used"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#WikibaseItem> ;
	wikibase:directClaim wdt:P4 ;
	wikibase:claim p:P4 ;
	wikibase:statementProperty ps:P4 ;
	wikibase:statementValue psv:P4 ;
	wikibase:qualifier pq:P4 ;
	wikibase:qualifierValue pqv:P4 ;
	wikibase:reference pr:P4 ;
	wikibase:referenceValue prv:P4 ;
	wikibase:novalue wdno:P4 .

p:P4 a owl:ObjectProperty .

psv:P4 a owl:ObjectProperty .

pqv:P4 a owl:ObjectProperty .

prv:P4 a owl:ObjectProperty .

wdt:P4 a owl:ObjectProperty .

ps:P4 a owl:ObjectProperty .

pq:P4 a owl:ObjectProperty .

pr:P4 a owl:ObjectProperty .

wdno:P4 a owl:Class ;
	owl:complementOf _:c298799f0cd3665c958b9d4edf0ffbf3 .

_:c298799f0cd3665c958b9d4edf0ffbf3 a owl:Restriction ;
	owl:onProperty wdt:P4 ;
	owl:someValuesFrom owl:Thing .

wd:Q10931 a wikibase:Item .

wd:Q10164 a wikibase:Item ;
	rdfs:label "cosine function"@en ;
	skos:prefLabel "cosine function"@en ;
	schema:name "cosine function"@en .

wd:Q11517 a wikibase:Item .

wd:Q10163 a wikibase:Item ;
	rdfs:label "sine function"@en ;
	skos:prefLabel "sine function"@en ;
	schema:name "sine function"@en .

wd:Q11526 a wikibase:Item .

wd:Q11533 a wikibase:Item .

wd:Q11532 a wikibase:Item .

wd:Q10365 a wikibase:Item ;
	rdfs:label "expansion (locally)"@en ;
	skos:prefLabel "expansion (locally)"@en ;
	schema:name "expansion (locally)"@en .

wd:P5 a wikibase:Property ;
	rdfs:label "xml-id"@en ;
	skos:prefLabel "xml-id"@en ;
	schema:name "xml-id"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#ExternalId> ;
	wikibase:directClaim wdt:P5 ;
	wikibase:claim p:P5 ;
	wikibase:statementProperty ps:P5 ;
	wikibase:statementValue psv:P5 ;
	wikibase:qualifier pq:P5 ;
	wikibase:qualifierValue pqv:P5 ;
	wikibase:reference pr:P5 ;
	wikibase:referenceValue prv:P5 ;
	wikibase:novalue wdno:P5 ;
	wikibase:directClaimNormalized wdtn:P5 ;
	wikibase:statementValueNormalized psn:P5 ;
	wikibase:qualifierValueNormalized pqn:P5 ;
	wikibase:referenceValueNormalized prn:P5 .

p:P5 a owl:ObjectProperty .

psv:P5 a owl:ObjectProperty .

pqv:P5 a owl:ObjectProperty .

prv:P5 a owl:ObjectProperty .

wdt:P5 a owl:DatatypeProperty .

ps:P5 a owl:DatatypeProperty .

pq:P5 a owl:DatatypeProperty .

pr:P5 a owl:DatatypeProperty .

psn:P5 a owl:ObjectProperty .

pqn:P5 a owl:ObjectProperty .

prn:P5 a owl:ObjectProperty .

wdtn:P5 a owl:ObjectProperty .

wdno:P5 a owl:Class ;
	owl:complementOf _:5a6c7a576e39dbbe9a035303bd73cd44 .

_:5a6c7a576e39dbbe9a035303bd73cd44 a owl:Restriction ;
	owl:onProperty wdt:P5 ;
	owl:someValuesFrom owl:Thing .
