[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"word-osittaisjärjestys":3},{"word":4,"glossSources":10,"senses":12,"sensesFi":13,"frequency":8,"etymologies":20,"etymologyFi":8,"etymologyFiLinks":8,"synonymsByPos":21,"extendedSynonymsByPos":22,"antonyms":23,"hypernyms":24,"hyponyms":25,"englishTranslations":26,"wordnetGlosses":27,"fiSynonyms":28,"fiExtendedSynonyms":29,"fiAntonyms":30,"fiExtendedAntonyms":31,"seeAlsoBase":8,"altSpellings":32,"fiBaseWords":33,"fiBaseWordsGuessed":9,"fiDerivedFrom":34,"fiCompounds":36,"fiDerived":37,"fiRelated":38,"wnAttributes":39,"wnCauses":40,"wnVerbGroups":41,"fiTranslations":42,"exampleSentences":43,"inflectionForms":8,"allInflectionForms":8,"rhymePattern":8,"rhymeSamples":55,"categories":56,"domains":57},{"id":5,"lemma":6,"hyphenation":7,"pos":8,"kotusClass":8,"kotusGradation":8,"homonymIndex":8,"ipa":8,"isStub":9},438326,"osittaisjärjestys","o­sit­tais­jär­jes­tys",null,false,{"enWiktionary":9,"fiWiktionary":9,"wordnet":9,"aiGeneratedEn":9,"finnWordNet":9,"psychling":9,"termipankki":11},true,[],[14],{"index":15,"parentIndex":8,"glossFi":16,"glossFiLinks":8,"examplesFi":8,"tags":17,"source":19},0,"annetun joukon transitiivinen, refleksiivinen ja antisymmetrinen relaatio",[18],"Matematiikka","termipankki",[],[],[],[],[],[],[],[],[],[],[],[],[],[],[35],"järjestys",[],[],[],[],[],[],{},[44,50],{"paragraph":45,"matchedForm":46,"matchOffset":47,"bookId":48,"bookTitle":49,"bookAuthor":8,"bookSlug":8},"Täsmällisesti,  relaatiota  kutsutaan  osittaisjärjestykseksi  jos  se  on  refleksiivinen,  transitiivinen  ja  antisymmetrinen.","osittaisjärjestykseksi",39,"https://fi.wikipedia.org/wiki/Osittain%20j%C3%A4rjestetty%20joukko","Osittain järjestetty joukko",{"paragraph":51,"matchedForm":6,"matchOffset":52,"bookId":53,"bookTitle":54,"bookAuthor":8,"bookSlug":8},"Mikäli  on  jonkin  topologisen  avaruuden  avointen  joukkojen  osittaisjärjestys,  niin  tämä  esilyhteen  määritelmä  vastaa  algebrallisen  topologian  joukkojen  esilyhteen  määritelmää.",65,"https://fi.wikipedia.org/wiki/Kategoriateoria","Kategoriateoria",[],[],[]]