[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"word-kompleksifunktio":3},{"word":4,"glossSources":13,"senses":15,"sensesFi":20,"frequency":10,"etymologies":25,"etymologyFi":10,"etymologyFiLinks":10,"synonymsByPos":33,"extendedSynonymsByPos":34,"antonyms":35,"hypernyms":36,"hyponyms":37,"englishTranslations":38,"wordnetGlosses":39,"fiSynonyms":40,"fiExtendedSynonyms":41,"fiAntonyms":42,"fiExtendedAntonyms":43,"seeAlsoBase":10,"altSpellings":44,"fiBaseWords":45,"fiBaseWordsGuessed":14,"fiDerivedFrom":46,"fiCompounds":47,"fiDerived":48,"fiRelated":49,"wnAttributes":50,"wnCauses":51,"wnVerbGroups":52,"fiTranslations":53,"exampleSentences":54,"inflectionForms":67,"allInflectionForms":10,"rhymePattern":92,"rhymeSamples":93,"categories":96,"domains":97},{"id":5,"lemma":6,"hyphenation":7,"pos":8,"kotusClass":9,"kotusGradation":10,"homonymIndex":10,"ipa":11,"isStub":12},166696,"kompleksifunktio","komp­lek­si­funk­ti­o","noun",3,null,"/ˈkompleksiˌfuŋktio/",false,{"enWiktionary":14,"fiWiktionary":12,"wordnet":12,"aiGeneratedEn":14,"finnWordNet":12,"psychling":12,"termipankki":12},true,[16],{"index":17,"parentIndex":10,"gloss":18,"glossLinks":10,"tags":19},0,"complex function",[],[21],{"index":17,"parentIndex":10,"glossFi":22,"glossFiLinks":10,"examplesFi":10,"tags":23,"source":24},"funktio, jonka määrittelyjoukko tai arvo koostuu kompleksiluvuista",[],"ai-generated-en-uncertain",[26],{"pos":10,"text":27,"links":28},"kompleksi + funktio",[29,31],{"text":30,"target":30},"kompleksi",{"text":32,"target":32},"funktio",[],[],[],[],[],[],[],[],[],[],[],[],[30,32],[],[],[],[],[],[],[],{},[55,61],{"paragraph":56,"matchedForm":57,"matchOffset":58,"bookId":59,"bookTitle":60,"bookAuthor":10,"bookSlug":10},"Käytännössä  ehtojen  voimassaolo  merkitsee,  että  kompleksifunktiota  voidaan  tällöin  derivoida  ja  integroida  aivan  kuin  se  olisi  reaalifunktio.","kompleksifunktiota",53,"https://fi.wikipedia.org/wiki/Cauchyn%E2%80%93Riemannin%20yht%C3%A4l%C3%B6","Cauchyn–Riemannin yhtälö",{"paragraph":62,"matchedForm":63,"matchOffset":64,"bookId":65,"bookTitle":66,"bookAuthor":10,"bookSlug":10},"Tässä  tapauksessa  alkuperäisen  kompleksifunktion  käyräintegraali  alueessa  riippuu  vain  käyrän  päätepisteistä  eikä  siitä,  mitä  reittiä  pitkin  integrointi  tehdään.","kompleksifunktion",34,"https://fi.wikipedia.org/wiki/Funktioteoria","Funktioteoria",{"type":68,"essive_pl":69,"essive_sg":70,"elative_pl":71,"elative_sg":72,"abessive_pl":73,"abessive_sg":74,"ablative_pl":75,"ablative_sg":76,"adessive_pl":77,"adessive_sg":78,"allative_pl":79,"allative_sg":80,"genitive_pl":81,"genitive_sg":63,"illative_pl":82,"illative_sg":83,"inessive_pl":84,"inessive_sg":85,"partitive_pl":86,"partitive_sg":57,"accusative_pl":87,"accusative_sg":63,"comitative_pl":88,"nominative_pl":87,"nominative_sg":6,"instructive_pl":89,"translative_pl":90,"translative_sg":91},"nominal","kompleksifunktioina","kompleksifunktiona","kompleksifunktioista","kompleksifunktiosta","kompleksifunktioitta","kompleksifunktiotta","kompleksifunktioilta","kompleksifunktiolta","kompleksifunktioilla","kompleksifunktiolla","kompleksifunktioille","kompleksifunktiolle","kompleksifunktioiden","kompleksifunktioihin","kompleksifunktioon","kompleksifunktioissa","kompleksifunktiossa","kompleksifunktioita","kompleksifunktiot","kompleksifunktioineen","kompleksifunktioin","kompleksifunktioiksi","kompleksifunktioksi","-uŋktio",[32,94,95],"vektorifunktio","valintafunktio",[],[]]