[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"word-inf":3},{"word":4,"glossSources":9,"senses":11,"sensesFi":12,"frequency":13,"etymologies":23,"etymologyFi":7,"etymologyFiLinks":7,"synonymsByPos":24,"extendedSynonymsByPos":25,"antonyms":26,"hypernyms":27,"hyponyms":28,"englishTranslations":29,"wordnetGlosses":30,"fiSynonyms":31,"fiExtendedSynonyms":33,"fiAntonyms":34,"fiExtendedAntonyms":35,"fiBaseWords":37,"fiBaseWordsGuessed":10,"fiDerivedFrom":38,"fiCompounds":39,"fiDerived":40,"fiRelated":41,"fiTranslations":42,"exampleSentences":43,"inflectionForms":7,"allInflectionForms":7,"rhymePattern":7,"rhymeSamples":54},{"id":5,"lemma":6,"pos":7,"kotusClass":7,"kotusGradation":7,"homonymIndex":7,"ipa":7,"isStub":8},341035,"inf",null,true,{"enWiktionary":10,"fiWiktionary":10,"wordnet":10,"aiGeneratedEn":10,"finnWordNet":10,"psychling":8,"termipankki":10},false,[],[],{"totalAbs":14,"totalRelative":15,"avgRelative":16,"corpora":17},1797,0.6846651,0.3980324,{"s24":18,"klk":19,"lehdet":20,"wiki":21,"reddit":22,"opensub":22},0.77385175,0.2615154,0.9540242,0.3988031,0,[],[],[],[],[],[],[],[],[32],"infimum",[],[],[36],"supremum",[],[],[],[],[],{},[44,49],{"paragraph":45,"matchedForm":6,"matchOffset":46,"bookId":47,"bookTitle":48,"bookAuthor":7,"bookSlug":7},"Jono  a ( n)  on  sellainen,  että  a ( n+1)  ≥  a ( n)  ja  a ( n)  \u003C  b  kaikilla  epänegatiivisilla  luvuilla  n.  Jono  b ( n)  taas  sellainen,  että  b ( n) ≥b ( n+1)  ja  b ( n)  >  a  kaikilla  epänegatiivisilla  luvuilla  n.  Koska  jonot  a ( n)  ja  b ( n)  ovat  rajoitettuja,  niin  jonolla  a ( n)  on  olemassa  pienin  yläraja  a'=sup  a ( n)  ja  jonolla  b ( n)  suurin  alaraja  b'=inf  b ( n).",401,"https://fi.wikipedia.org/wiki/Bolzanon%E2%80%93Weierstrassin%20lause","Bolzanon–Weierstrassin lause",{"paragraph":50,"matchedForm":6,"matchOffset":51,"bookId":52,"bookTitle":53,"bookAuthor":7,"bookSlug":7},"Siis  x  ≥  e  kaikilla  x  S.  2)  Kaikille  >  0  x  S,  jolle  x  \u003C  e  +  Infimum  osoitetaan  jollakin  seuraavista  tavoista  tilanteesta  riippuen:  a)  Jos  joukossa  S  näyttäisi  olevan  pienin  alkio  e,  osoitetaan  kohdat:  1)  e  S.  2)  x  ≥  e  kaikille  x  S.  Tällöin  min S  =  inf ( S).  b)  Jos  joukko  S  on  alhaalta  rajoitettu,  mutta  joukossa  ei  ole  pienintä  alkiota,  osoitetaan  kohdat:  1)  x  ≥  e  kaikille  x  S,  jolloin  e  on  S:n  eräs  alaraja.",297,"https://fi.wikipedia.org/wiki/Infimum","Infimum",[]]