@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q173853 rdfs:label "kwaternioon"@af,
        "مرباع"@ar,
        "кватэрніён"@be,
        "кватэрніён"@be-tarask,
        "кватернион"@bg,
        "quaternió"@ca,
        "kvaternion"@cs,
        "кватернион"@cv,
        "kvaternioner"@da,
        "Quaternion"@de,
        "τετραδόνιο"@el,
        "quaternion"@en,
        "kvaterniono"@eo,
        "cuaternión"@es,
        "kvaternioonid"@et,
        "koaternioi"@eu,
        "چهارگانها"@fa,
        "kvaternio"@fi,
        "quaternion"@fr,
        "ceathairnín"@ga,
        "cuaternión"@gl,
        "Quaternion"@gsw,
        "kiarneen"@gv,
        "אלגברת הקווטרניונים של המילטון"@he,
        "kvaternion"@hr,
        "kvaterniók"@hu,
        "քվատերնիոններ"@hy,
        "quaternion"@ia,
        "kuaternion"@id,
        "fertölur"@is,
        "quaternione"@it,
        "四元数"@ja,
        "voncimdyna'u"@jbo,
        "კვატერნიონი"@ka,
        "кватернион"@kk,
        "사원수"@ko,
        "numerus quaternus"@la,
        "quaterniú"@lmo,
        "kvaternionas"@lt,
        "kvaternions"@lv,
        "四元數"@lzh,
        "кватернион"@mk,
        "кватернион"@mn,
        "Kuaternion"@ms,
        "kvaternioner"@nb,
        "quaternion"@nl,
        "kvaternion"@nn,
        "ਕੁਆਟ੍ਰਨੀਔਨ"@pa,
        "kwaterniony"@pl,
        "quaternion"@pms,
        "quatérnio"@pt,
        "quatérnio"@pt-br,
        "cuaternion"@ro,
        "кватернион"@ru,
        "quatirnioni"@scn,
        "quaternion"@sco,
        "kvaternion"@sh,
        "kvaternión"@sk,
        "kvaternion"@sl,
        "kuaternion"@sq,
        "кватернион"@sr,
        "кватернион"@sr-ec,
        "kvaternion"@sr-el,
        "kvaternion"@sv,
        "ควอเทอร์เนียน"@th,
        "dördey"@tr,
        "кватерніон"@uk,
        "کواٹرنیون"@ur,
        "kvaternion"@uz,
        "quaternion"@vi,
        "quaternioonn"@vls,
        "四元数"@wuu,
        "קוואטערניאן"@yi,
        "四元數"@yue,
        "四元數"@zh,
        "四元数"@zh-cn,
        "四元数"@zh-hans,
        "四元數"@zh-hant,
        "四元數"@zh-hk,
        "四元数"@zh-sg,
        "四元數"@zh-tw ;
    schema1:dateModified "2026-11-01T16:44:36+00:00"^^xsd:dateTime ;
    schema1:description "ʼn hiperkomplekse getal wat bestaan uit vier dele"@af,
        "امتداد عملية غير تبديلية للأعداد المركبة"@ar,
        "система на хиперкомплексни числа, предложена от Уилям Роуън Хамилтон през 1843 година"@bg,
        "una generalització dels nombres complexos, de tal manera que si un nombre complex defineix dues dimensions afegint la component i, un quaternió defineix quatre dimensions afegint les components i, j, k, de manera que i²=j²=²=ijk=−1"@ca,
        "nekomutativní rozšíření oboru reálných čísel"@cs,
        "talsystem der er en forlængelse af de komplekse tal"@da,
        "nichtkommutative Erweiterung der reellen Zahlen"@de,
        "noncommutative extension of the real numbers"@en,
        "nekomuta asocieca sistemo de nombroj, kun kvar reelaj komponantoj, kies elementoj havas la formon 𝑎+𝑏i+𝑐j+𝑑k en kiu i²=j²=k²=ijk=−1"@eo,
        "extensión de los números reales"@es,
        "سیستم عددنویسی"@fa,
        "kompleksilukujen nelikomponenttinen laajennus"@fi,
        "extension des nombres réels dont tout élément est notable sous la forme a+ib+jc+kd où i² = j² = k² = ijk = −1"@fr,
        "un extension del numeros real, similar al numeros complexe"@ia,
        "stærðfræðilegt hugtak sem lýsir tölu, sem er samsett úr fjórum liðum, þannig að einn þeirra er rauntala en hinir þrír eru allir þvertölur"@is,
        "entità introdotta da William Rowan Hamilton nel 1843"@it,
        "i²=j²=k²=−1と(ij,jk,ki)=(−ji,−kj,−ik)=(k,i,j)で定義される複素数の非可換拡張"@ja,
        "numeri, similes numeris complexis, sed quorum multiplicatio non commutativa est"@la,
        "vierdimensionaal getal"@nl,
        "struktura algebraiczna rozszerzająca liczby zespolone; czterowymiarowa przestrzeń kartezjańska (ℝ⁴) z nieprzemiennym mnożeniem wektorów i ich dzieleniem"@pl,
        "uma extensão dos números complexos; uma álgebra associativa formada pelos números da forma u+xi+yj+zk, onde i, j, k são unidades imaginárias"@pt,
        "numere hipercomplexe non-comutative obținute prin extinderea mulțimii numerelor complexe de o manieră similară cu cea care a condus de la numerele reale la cele complexe"@ro,
        "система гиперкомплексных чисел, образующая векторное пространство размерностью четыре над полем вещественных чисел"@ru,
        "a noncommutative nummer seestem that extends the complex nummers"@sco,
        "shtrirje jokomutative e numrave realë"@sq,
        "talsystem som är en utökning av de komplexa talen"@sv,
        "чотиривимірне гіперкомплексне число без дільників нуля"@uk,
        "ʼn uutbreidinge van de complexe getalln"@vls,
        "数字类型"@zh ;
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    wikibase:identifiers 33 ;
    wikibase:sitelinks 75 ;
    wikibase:statements 71 ;
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        "الأعداد الرباعية المركبة"@ar,
        "العدد الرباعي المركب"@ar,
        "الكواترنيون"@ar,
        "الكواتيرنيون"@ar,
        "المرباع"@ar,
        "عدد رباعي مركب"@ar,
        "كواترنيون"@ar,
        "كواتيرنيون"@ar,
        "quaternions"@ca,
        "quaternions de Hamilton"@ca,
        "kvaterniony"@cs,
        "ℍ"@cs,
        "hyperkomplekse tal"@da,
        "kvaternion"@da,
        "quaternioner"@da,
        "Hamilton-Zahl"@de,
        "Quaternionen"@de,
        "Quaternionen-Schiefkörper"@de,
        "τετράνιο"@el,
        "υπερμιγαδικός"@el,
        "Hamilton number"@en,
        "kvaropnombro"@eo,
        "nombro de Hamilton"@eo,
        "cuaternio"@es,
        "cuaternion"@es,
        "cuaterniones"@es,
        "چهارگان ها"@fa,
        "کواترنیونها"@fa,
        "ℍ"@fa,
        "kvaterniot"@fi,
        "אלגברת הקווטרניונים"@he,
        "הקווטרניונים"@he,
        "חוג הקווטרניונים"@he,
        "חוג הקווטרניונים של המילטון"@he,
        "חוג הקוורטריונים"@he,
        "מספר היפר מרוכב"@he,
        "מספר היפרקומפלקסי"@he,
        "קווטרניון"@he,
        "fertala"@is,
        "algebra dei quaternioni"@it,
        "quaternione unitario"@it,
        "quaternioni"@it,
        "ℍ"@it,
        "4元数"@ja,
        "クォータニオン"@ja,
        "クオータニオン"@ja,
        "ハミルトン数"@ja,
        "4원수"@ko,
        "사원수환"@ko,
        "쿼터니언"@ko,
        "쿼터니온"@ko,
        "해밀턴 수"@ko,
        "Kvarternionas"@lt,
        "quaternionen"@nl,
        "quaternions"@nl,
        "quaterniões"@pt,
        "quatérnios"@pt-br,
        "гиперкомплексные числа"@ru,
        "кватернионы"@ru,
        "числа Гамильтона"@ru,
        "число Гамильтона"@ru,
        "kvaternioner"@sv,
        "ℍ"@sv,
        "kuaterniyon"@tr,
        "кватерніон"@uk,
        "四よん元げん数すう"@zh ;
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    wdt:P4215 "quaternion" ;
    wdt:P4223 "quaternioni" ;
    wdt:P4342 "kvaternioner" ;
    wdt:P527 wd:Q12916 ;
    wdt:P5555 <http://commons.wikimedia.org/wiki/Special:FilePath/Cayley%20Q8%20multiplication%20graph.svg>,
        <http://commons.wikimedia.org/wiki/Special:FilePath/Quaternion-multiplication-table.png>,
        <http://commons.wikimedia.org/wiki/Special:FilePath/Quaternions%20SO%283%29%20cube.svg> ;
    wdt:P571 "1843-01-01T00:00:00+00:00"^^xsd:dateTime ;
    wdt:P575 "1843-10-16T00:00:00+00:00"^^xsd:dateTime ;
    wdt:P6058 "divers/quaternion/84765" ;
    wdt:P61 wd:Q11887 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "200127275" ;
    wdt:P646 "/m/0dkqr" ;
    wdt:P6781 "Definition:Quaternion" ;
    wdt:P6900 "四元数" ;
    wdt:P691 "ph844096" ;
    wdt:P7235 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>a</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>i</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup> <mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P7305 "3929640" ;
    wdt:P7554 "Quaternion" ;
    wdt:P8189 "987007553303805171" ;
    wdt:P8313 "kvaternioner" ;
    wdt:P8885 "사원수" ;
    wdt:P910 wd:Q7114451 ;
    wdt:P950 "XX4728834" ;
    wdt:P973 <http://www.treccani.it/enciclopedia/quaternione_%28Dizionario-delle-Scienze-Fisiche%29/>,
        <https://getpocket.com/explore/item/the-strange-numbers-that-birthed-modern-algebra?utm_source=pocket-newtab-global-en-GB> .