[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"word-alkulukulause":3},{"word":4,"glossSources":12,"senses":14,"sensesFi":19,"frequency":25,"etymologies":32,"etymologyFi":9,"etymologyFiLinks":9,"synonymsByPos":40,"extendedSynonymsByPos":41,"antonyms":42,"hypernyms":43,"hyponyms":44,"englishTranslations":45,"wordnetGlosses":46,"fiSynonyms":47,"fiExtendedSynonyms":48,"fiAntonyms":49,"fiExtendedAntonyms":50,"fiBaseWords":51,"fiBaseWordsGuessed":13,"fiDerivedFrom":54,"fiCompounds":55,"fiDerived":56,"fiRelated":57,"fiTranslations":58,"exampleSentences":59,"inflectionForms":71,"allInflectionForms":9,"rhymePattern":97,"rhymeSamples":98},{"id":5,"lemma":6,"pos":7,"kotusClass":8,"kotusGradation":9,"homonymIndex":9,"ipa":10,"isStub":11},160800,"alkulukulause","noun",48,null,"/ˈɑlkuˌlukuˌlɑu̯seˣ/",false,{"enWiktionary":13,"fiWiktionary":11,"wordnet":11,"aiGeneratedEn":11,"finnWordNet":11,"psychling":13,"termipankki":13},true,[15],{"index":16,"parentIndex":9,"gloss":17,"glossLinks":9,"tags":18},0,"prime number theorem",[],[20],{"index":16,"parentIndex":9,"glossFi":21,"glossFiLinks":9,"examplesFi":9,"tags":22,"source":24},"Teoreema, joka kertoo, kuinka alkuluvut ovat jakautuneet luonnollisten lukujen joukkoon",[23],"Matematiikka","termipankki",{"totalAbs":26,"totalRelative":27,"avgRelative":28,"corpora":29},20,0.00762009,0.04589489,{"s24":16,"klk":16,"lehdet":16,"wiki":30,"reddit":16,"opensub":31},0.255234,0.020135365,[33],{"pos":9,"text":34,"links":35},"alkuluku + lause",[36,38],{"text":37,"target":37},"alkuluku",{"text":39,"target":39},"lause",[],[],[],[],[],[],[],[],[],[],[],[52,53,39],"alku","luku",[],[],[],[],{},[60,66],{"paragraph":61,"matchedForm":62,"matchOffset":63,"bookId":64,"bookTitle":65,"bookAuthor":9,"bookSlug":9},"Logaritmisella  integraalilla  on  tärkeä  osa  lukuteoriassa,  kuten  alkulukulauseessa:  missä  osoittaa  lukua  x  pienempien  tai  yhtäsuurten  alkulukujen  lukumäärää.","alkulukulauseessa",71,"https://fi.wikipedia.org/wiki/Logaritminen%20integraalifunktio","Logaritminen integraalifunktio",{"paragraph":67,"matchedForm":6,"matchOffset":68,"bookId":69,"bookTitle":70,"bookAuthor":9,"bookSlug":9},"Määritellään  logaritminen  integraali  Li ( x)  asettamalla  Tästä  huomataan,  että  alkulukujen  \" tiheyden \"  lähellä  t:tä  tulisi  olla  1  /  ln  t.  Funktion  yhteys  logaritmiin  nähdään  asymptoottisesta  kehitelmästä  Siten  alkulukulause  voidaan  kirjoittaa  myös  muodossa  π ( x)  ~  Li ( x).",236,"https://fi.wikipedia.org/wiki/Alkulukulause","Alkulukulause",{"type":72,"essive_pl":73,"essive_sg":74,"elative_pl":75,"elative_sg":76,"abessive_pl":77,"abessive_sg":78,"ablative_pl":79,"ablative_sg":80,"adessive_pl":81,"adessive_sg":82,"allative_pl":83,"allative_sg":84,"genitive_pl":85,"genitive_sg":86,"illative_pl":87,"illative_sg":88,"inessive_pl":89,"inessive_sg":62,"partitive_pl":90,"partitive_sg":91,"accusative_pl":92,"accusative_sg":86,"comitative_pl":93,"nominative_pl":92,"nominative_sg":6,"instructive_pl":94,"translative_pl":95,"translative_sg":96},"nominal","alkulukulauseina","alkulukulauseena","alkulukulauseista","alkulukulauseesta","alkulukulauseitta","alkulukulauseetta","alkulukulauseilta","alkulukulauseelta","alkulukulauseilla","alkulukulauseella","alkulukulauseille","alkulukulauseelle","alkulukulauseiden","alkulukulauseen","alkulukulauseisiin","alkulukulauseeseen","alkulukulauseissa","alkulukulauseita","alkulukulausetta","alkulukulauseet","alkulukulauseineen","alkulukulausein","alkulukulauseiksi","alkulukulauseeksi","-ɑuse",[39,99,100],"arvolause","finaalilause"]