<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:Q5222 a schema:Dataset ;
	schema:about wd:Q5222 ;
	cc:license <http://creativecommons.org/publicdomain/zero/1.0/> ;
	schema:softwareVersion "1.0.0" ;
	schema:version "48716"^^xsd:integer ;
	schema:dateModified "2020-01-02T12:35:23Z"^^xsd:dateTime ;
	wikibase:statements "11"^^xsd:integer ;
	wikibase:sitelinks "0"^^xsd:integer ;
	wikibase:identifiers "1"^^xsd:integer .

wd:Q5222 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 z^{q}D^{q+1}w+\\sum_{j=1}^{q}z^{j-1}(\\alpha_{j}z+\\beta_{j})D^{j}w+\\alpha_{0}w=0,}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	wdt:P2 "DLMF:16.8.E4" ;
	wdt:P8 "Warning: Falling back to standard tex;" ;
	wdt:P9 "<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 p\\leq q}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	wdt:P4 wd:Q11690,
		wd:Q11691,
		wd:Q11692,
		wd:Q11703,
		wd:Q11702,
		wd:Q11704,
		wd:Q11705 ;
	p:P1 wds:Q5222-4281E384-0E38-41E1-8EA1-31BFE6E9B707 .

wds:Q5222-4281E384-0E38-41E1-8EA1-31BFE6E9B707 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 z^{q}D^{q+1}w+\\sum_{j=1}^{q}z^{j-1}(\\alpha_{j}z+\\beta_{j})D^{j}w+\\alpha_{0}w=0,}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> .

wd:Q5222 p:P2 wds:Q5222-2A988583-31F3-4E82-8B3E-536673F26804 .

wds:Q5222-2A988583-31F3-4E82-8B3E-536673F26804 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P2 "DLMF:16.8.E4" .

wd:Q5222 p:P8 wds:Q5222-BADD5089-AD3E-4BB8-B5B5-996AB938FF95 .

wds:Q5222-BADD5089-AD3E-4BB8-B5B5-996AB938FF95 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P8 "Warning: Falling back to standard tex;" .

wd:Q5222 p:P9 wds:Q5222-6057FE1D-F8B6-4E28-9377-8681523FF862 .

wds:Q5222-6057FE1D-F8B6-4E28-9377-8681523FF862 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P9 "<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 p\\leq q}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> .

wd:Q5222 p:P4 wds:Q5222-B56BF837-564F-4E53-85B6-0D4AB69ED923 .

wds:Q5222-B56BF837-564F-4E53-85B6-0D4AB69ED923 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11690 ;
	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 p}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C16.S1.XMD1.m1adec" .

wd:Q5222 p:P4 wds:Q5222-B746C3C3-676C-49D9-B126-5ECBAEBFAE46 .

wds:Q5222-B746C3C3-676C-49D9-B126-5ECBAEBFAE46 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11691 ;
	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 q}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C16.S1.XMD2.m1adec" .

wd:Q5222 p:P4 wds:Q5222-98B7437C-6C1F-406A-96AB-2D37C8097BFF .

wds:Q5222-98B7437C-6C1F-406A-96AB-2D37C8097BFF a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11692 ;
	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 z}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C16.S1.XMD3.m1cdec" .

wd:Q5222 p:P4 wds:Q5222-850E8E22-64EA-41FA-B1D2-D563559DF8BE .

wds:Q5222-850E8E22-64EA-41FA-B1D2-D563559DF8BE a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11703 ;
	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 D}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C16.S8.XMD2.m1adec" .

wd:Q5222 p:P4 wds:Q5222-F14B6174-C15C-4C82-9988-C60E0C37A2DA .

wds:Q5222-F14B6174-C15C-4C82-9988-C60E0C37A2DA a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11702 ;
	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 w}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C16.S8.XMD4.m1adec" .

wd:Q5222 p:P4 wds:Q5222-E1FA21CA-26DE-4664-853E-ACB2683DF045 .

wds:Q5222-E1FA21CA-26DE-4664-853E-ACB2683DF045 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11704 ;
	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 \\alpha_{j}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C16.S8.XMD5.m1dec" .

wd:Q5222 p:P4 wds:Q5222-5E085358-E070-46A3-A94B-44B12C88B410 .

wds:Q5222-5E085358-E070-46A3-A94B-44B12C88B410 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11705 ;
	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 \\beta_{j}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C16.S8.XMD6.m1dec" .

wd:Q5222 rdfs:label "DLMF:16.8.E4"@en ;
	skos:prefLabel "DLMF:16.8.E4"@en ;
	schema:name "DLMF:16.8.E4"@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:P8 a wikibase:Property ;
	rdfs:label "comment"@en ;
	skos:prefLabel "comment"@en ;
	schema:name "comment"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#String> ;
	wikibase:directClaim wdt:P8 ;
	wikibase:claim p:P8 ;
	wikibase:statementProperty ps:P8 ;
	wikibase:statementValue psv:P8 ;
	wikibase:qualifier pq:P8 ;
	wikibase:qualifierValue pqv:P8 ;
	wikibase:reference pr:P8 ;
	wikibase:referenceValue prv:P8 ;
	wikibase:novalue wdno:P8 .

p:P8 a owl:ObjectProperty .

psv:P8 a owl:ObjectProperty .

pqv:P8 a owl:ObjectProperty .

prv:P8 a owl:ObjectProperty .

wdt:P8 a owl:DatatypeProperty .

ps:P8 a owl:DatatypeProperty .

pq:P8 a owl:DatatypeProperty .

pr:P8 a owl:DatatypeProperty .

wdno:P8 a owl:Class ;
	owl:complementOf _:acffe14ef7de306a5f3d8961fa66b097 .

_:acffe14ef7de306a5f3d8961fa66b097 a owl:Restriction ;
	owl:onProperty wdt:P8 ;
	owl:someValuesFrom owl:Thing .

wd:P9 a wikibase:Property ;
	rdfs:label "constraint"@en ;
	skos:prefLabel "constraint"@en ;
	schema:name "constraint"@en ;
	schema:description "restricts the applicability of a formula"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#Contentmath> ;
	wikibase:directClaim wdt:P9 ;
	wikibase:claim p:P9 ;
	wikibase:statementProperty ps:P9 ;
	wikibase:statementValue psv:P9 ;
	wikibase:qualifier pq:P9 ;
	wikibase:qualifierValue pqv:P9 ;
	wikibase:reference pr:P9 ;
	wikibase:referenceValue prv:P9 ;
	wikibase:novalue wdno:P9 .

p:P9 a owl:ObjectProperty .

psv:P9 a owl:ObjectProperty .

pqv:P9 a owl:ObjectProperty .

prv:P9 a owl:ObjectProperty .

wdt:P9 a owl:DatatypeProperty .

ps:P9 a owl:DatatypeProperty .

pq:P9 a owl:DatatypeProperty .

pr:P9 a owl:DatatypeProperty .

wdno:P9 a owl:Class ;
	owl:complementOf _:429206ceb9f61f1f170f99bd89de9fe7 .

_:429206ceb9f61f1f170f99bd89de9fe7 a owl:Restriction ;
	owl:onProperty wdt:P9 ;
	owl:someValuesFrom owl:Thing .

wd:Q11690 a wikibase:Item .

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:Q11691 a wikibase:Item .

wd:Q11692 a wikibase:Item .

wd:Q11703 a wikibase:Item .

wd:Q11702 a wikibase:Item .

wd:Q11704 a wikibase:Item .

wd:Q11705 a wikibase:Item .

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 .
