#noindex ##====측도,measure =,measure 측도 measure measure 측도 WtEn:measure Ndict:측도 WpKo:측도 https://namu.wiki/w/측도 [[측도론,measure_theory]] =측도론,measure_theory =,measure_theory 측도론 measure_theory { '''measure theory''' [[WtEn:measure_theory]] = https://en.wiktionary.org/wiki/measure_theory YouTube:측도론 YouTube:"measure theory" Page name via KmsE:"measure theory" : 측도론. ([[Date(2024-03-27T11:56:01)]]) [[측도,measure]] [[이론,theory]] } // measure theory ... Ggl:"measure theory" NN:"measure theory" NN:측도론 Ggl:측도론 Topics etc; MKL [[길이,length]] [[넓이,area]] [[집합,set]] [[실수,real_number]] [[완비성,completeness]] ... ---- <> = Sub: = == Hausdorff measure == [[https://terms.naver.com/entry.naver?docId=5669327&cid=60207&categoryId=60207 수학백과: 하우스도르프 측도]] == Martin measure == [[Martin_measure]] =,Martin_measure =,Martin_measure . Martin_measure Martin measure WtEn:Martin_measure Ggl:"Martin measure" "Martin measure" == Borel measure == [[보렐_측도,Borel_measure]] - w =,Borel_measure . WtEn:Borel_measure Ggl:"Borel measure" Ndict:"Borel measure" "Borel measure" REL [[르베그_측도,Lebesgue_measure]] == 르베그 측도 Lebesgue measure == [[르베그_측도,Lebesgue_measure]] == discrete measure == discrete measure [[discrete_measure]] =,discrete_measure =,discrete_measure . discrete_measure discrete measure 이산측도[* 뻔히 이산측도 via KmsE:"discrete measure"] [[WtEn:discrete_measure]] [[WpEn:Discrete_measure]] = https://en.wikipedia.org/wiki/Discrete_measure https://ja.wikipedia.org/wiki/離散測度 Ndict:"discrete measure" Ggl:"discrete measure" "discrete measure" == signed measure == signed measure 부호측도 (wk) 부호있는측도 ? KmsE:"signed measure" [[signed_measure]] =,signed_measure =,signed_measure . signed_measure WtEn:signed_measure https://en.wikipedia.org/wiki/Signed_measure https://ko.wikipedia.org/wiki/부호_측도 https://encyclopediaofmath.org/wiki/Signed_measure ''generalized measure, real valued measure, charge'' Ndict:"signed measure" Ggl:"signed measure" "signed measure" [[부호,sign]] [[signedness]]?? == probability measure == probability measure KmsE:"probability measure" [[probability_measure]] =,probability_measure =,probability_measure . probability_measure WtEn:probability_measure https://en.wikipedia.org/wiki/Probability_measure 확률측도 ? "probability measure" [[확률,probability]] == discrete measure == [[discrete_measure]] =,discrete_measure =,discrete_measure . discrete_measure 이산측도? WtEn:discrete_measure https://encyclopediaofmath.org/wiki/Discrete_measure [[discreteness]] - maybe [[이산성,discreteness]] == measure space == measure space [[measure_space]] =,measure_space =,measure_space . measure_space WtEn:measure_space 측도공간? KmsE:"measure space" [[WpEn:Measure_space]] = https://en.wikipedia.org/wiki/Measure_space 이것의 중요한 example: [[확률공간,probability_space]] =확률공간,probability_space =,probability_space 확률공간 probability_space { MKL [[확률측도,probability_measure]] https://simple.wikipedia.org/wiki/Probability_space https://en.wikipedia.org/wiki/Probability_space https://ko.wikipedia.org/wiki/확률_공간 Ggl:확률공간 Ndict:확률공간 확률공간 } no wk. [[Date(2023-08-27T21:14:00)]] https://encyclopediaofmath.org/wiki/Measure_space https://ncatlab.org/nlab/show/measure+space Ggl:"measure space" "measure space" [[공간,space]] Cmp [[measurable_space]] // 일단 바로아래section === complete measure space === https://en.wikipedia.org/wiki/Complete_measure_space "is a measure space in which every subset of every [[널집합,null_set]] is measurable (having measure zero)." https://ko.wikipedia.org/wiki/완비_측도_공간 WtEn:complete_measure_space WtEn:complete_measure https://encyclopediaofmath.org/wiki/Complete_measure https://www.proofwiki.org/wiki/Definition:Complete_Measure_Space == measurable space == measurable space [[measurable_space]] =,measurable_space =,measurable_space . measurable_space 가측공간? KmsE:"measurable space" WtEn:measurable_space https://mathworld.wolfram.com/MeasurableSpace.html 한줄 "A set considered together with the sigma-algebra ( MathWorld:Sigma-Algebra ) on the set." https://en.wikipedia.org/wiki/Measurable_space https://ko.wikipedia.org/wiki/가측_공간 https://encyclopediaofmath.org/wiki/Measurable_space ''Also: Borel space'' // Also: Borel_space https://ncatlab.org/nlab/show/measurable+space [[measurability]] ? Ggl:measurability Ndict:measurability KmsE:measurability NdEn:measurability Bing:measurability WtEn:measurability KmsK:가측 Ndict:가측성 Ggl:가측성 Ggl:"measurable space" Bing:"measurable space" "measurable space" Cmp [[measure_space]] // 일단 바로위section REL [[가측집합,measurable_set]] { https://encyclopediaofmath.org/wiki/Measurable_set rel measurable subset measurable_subset https://ncatlab.org/nlab/show/measurable+subset "measurable subset" } == Wiener measure == [[Wiener_measure]] https://encyclopediaofmath.org/wiki/Wiener_measure ... Ndict:"Wiener measure" ? Naver:"Wiener measure" Ggl:"Wiener measure" == positive measure == '''positive measure''' [[WtEn:positive_measure]] = https://en.wiktionary.org/wiki/positive_measure "positive measure" Ndict:"positive measure" ? Ggl:"positive measure" == counting measure == '''counting measure''' [[counting_measure]] =,counting_measure =,counting_measure . counting_measure https://en.wiktionary.org/wiki/counting_measure#English https://planetmath.org/CountingMeasure https://proofwiki.org/wiki/Definition:Counting_Measure https://ko.wikipedia.org/wiki/셈측도 https://en.wikipedia.org/wiki/Counting_measure ... Ggl:"counting measure" Ndict:"counting measure" Up(hypernym): [[positive_measure]] == outer measure == outer measure outer_measure [[outer_measure]] WtEn:outer_measure ? https://mathworld.wolfram.com/OuterMeasure.html Ggl:"outer measure definition" == premeasure == WtEn:premeasure ? https://mathworld.wolfram.com/Premeasure.html "premeasure definition" Ggl:"premeasure definition" == Caratheodory measure == Caratheodory measure Carathéodory measure [[Caratheodory_measure]] =,Caratheodory_measure =,Caratheodory_measure . Caratheodory_measure { https://mathworld.wolfram.com/CaratheodoryMeasure.html } == 셈 측도, counting measure == counting measure counting_measure [[셈측도,counting_measure]]? - Yes, via KmsE:counting https://namu.wiki/w/셈%20측도 { dimensionless. (tmp curr. [[VG:차원%2Cdimension?action=highlight&value=dimensionless#s-4]] / linked to Namu:무차원량 ) } WtEn:counting_measure WpEn:Counting_measure Ggl:"counting measure" == ADD_MEASURE_HERE == == ADD_MEASURE_HERE == == ADD_MEASURE_HERE == == ADD_MEASURE_HERE == == ADD_MEASURE_HERE == == ADD_MEASURE_HERE == ADD_MEASURE_HERE ADD_MEASURE_HERE ADD_MEASURE_HERE ADDHERE ADDHERE = Topics: / REL / MKL = [[양,quantity]] [[길이,length]] width - 너비 폭 - Sub: [[띠너비,bandwidth]] height [[크기,size]] [[측정,measurement]] [[support]] =,support =,support . support { Ggl:수학+서포트+support Naver:수학+서포트+support Bing:측도론+support - 검색결과 bad - Bing:측도론에서+support란 Ggl:측도론+support [[WpEn:Support_(measure_theory)]] = https://en.wikipedia.org/wiki/Support_(measure_theory) = https://en.wikipedia.org/wiki/Support_%28measure_theory%29 } [[부분집합,subset]] [[널집합,null_set]] Srch:null_set WtEn:null_set = Foot = WtEn:measure Libre:측도 [[Namu:측도]] = https://namu.wiki/w/측도?from=측도론 [[WpEn:Measure_(mathematics)]] = https://en.wikipedia.org/wiki/Measure_(mathematics) = https://en.wikipedia.org/wiki/Measure_%28mathematics%29 https://ko.wikipedia.org/wiki/측도 [[https://terms.naver.com/entry.naver?docId=3405357&cid=47324&categoryId=47324 수학백과: 측도]] MKL [[아톰,atom]] ...(wpko refers https://encyclopediaofmath.org/wiki/Atom )