<> = Sub = == 벡터공간 vector space == [[벡터공간,vector_space]] == 선형공간 linear space == [[선형공간,linear_space]] - 바로 위 벡터공간과 동의어. == 부분공간 subspace == [[부분공간,subspace]] 부분집합의 원소간의 덧셈과 상수배를 해도 역시 부분집합에 속하는 성질을 가지는 공간 == 널공간/영공간 중 TBD. nullspace == 널공간 영공간 [[null_space]] nullspace - [[VG:영공간,null_space]] == 표본공간 sample space == [[표본공간,sample_space]] - has moved to [[VG:표본공간,sample_space]] == 가측공간? measurable space == === (+ Borel measurable space) 보렐 가측공간? === [[가측공간,measurable_space]] [[보렐_가측공간,Borel_measurable_space]] == affine space == affine space 아핀공간 ? [[아핀공간,affine_space]] MKL [[incidence_geometry]] =,incidence_geometry =,incidence_geometry . incidence_geometry { incidence geometry KmsE:"incidence geometry" WtEn:incidence_geometry ? iiiiiiiiiiijjjj WpEn:Incidence_geometry https://commons.wikimedia.org/wiki/Category:Incidence_geometry ''"'''Incidence geometry''' is one of the most abstract geometric_structure in which only the [[irreflexive_relation]] { WtEn:irreflexive_relation } of incidence is considered."'' "incidence geometry" Ndict:"incidence geometry" Ggl:"incidence geometry" Rel [[incidence]] =,incidence =,incidence . incidence { KmsE:incidence [[WtEn:incidence]] = https://en.wiktionary.org/wiki/incidence#Noun syn. [[occurrence]]? <- n., [[occur]] v. ? } [[incidence_system]] =,incidence_system =,incidence_system . incidence_system { '''incidence system''' MKL [[incidence_structure]] =,incidence_structure . incidence_structure { '''incidence structure''' [[WtEn:incidence_structure]] = https://en.wiktionary.org/wiki/incidence_structure MKL: [[incidence_system]] Up: [[incidence]] [[structure]] "incidence structure" Ggl:"incidence structure" Naver:"incidence structure" } // incidence structure [[incidence_matrix]] =,incidence_matrix . incidence_matrix { '''incidence matrix''' [[WtEn:incidence_matrix]] = https://en.wiktionary.org/wiki/incidence_matrix "(graph theory) A matrix showing the relationship between two classes of objects." ([[Date(2023-11-06T06:08:47)]]) "incidence matrix" Ndict:"incidence matrix" Ggl:"incidence matrix" Up: [[incidence]] [[행렬,matrix]] } // incidence matrix https://en.wiktionary.org/wiki/incidence_system x 2023-11-06 Twins: https://encyclopediaofmath.org/wiki/Incidence_system "incidence system" Ggl:"incidence system" Naver:"incidence system" Up: [[incidence]] [[시스템,system]] } // MKL [[아핀평면,affine_plane]] { =아핀평면,affine_plane =,affine_plane . Srch:affine_plane WtEn:affine_plane [[WpEn:Affine_plane_(incidence_geometry)]] = https://en.wikipedia.org/wiki/Affine_plane_(incidence_geometry) = https://en.wikipedia.org/wiki/Affine_plane_%28incidence_geometry%29 } Sub: [[Moulton_plane]] =,Moulton_plane =,Moulton_plane . Moulton_plane { WtEn:Moulton_plane https://en.wikipedia.org/wiki/Moulton_plane Moulton plane Ndict:"Moulton plane" Ggl:"Moulton plane" "Moulton plane" } [[WpEn:Affine_space]] = https://en.wikipedia.org/wiki/Affine_space == metric space == === (+ complete metric space) === metric space 측도공간 or 계량공간 or 거리공간 ... [[metric_space]] // .... Ggl:측도공간 Bing:측도공간 Naver:측도공간 (?? [[측도,measure]] ... measure_space ? WtEn:measure_space Ggl:measure.space ) // .... Ggl:계량공간 Bing:계량공간 Naver:계량공간 이라 번역할 수는 없는지? (? metric 이 n. 이라면 이렇게 할 수 있지만 adj. 라면 의미 없는데 ... WtEn:metric NdEn:metric Ndict:metric ) cf. [[계량,metric]] =계량,metric =,metric 계량 metric { Twins: [[https://terms.naver.com/entry.naver?docId=6627726&cid=62801&categoryId=62801 천문학백과: 계량 metric]] Ndict:계량 Ndict:metric WtEn:metric Ggl:계량 Ggl:metric MKL [[거리,distance]] } kms는 거리공간이라 함. [[거리공간,metric_space]] =거리공간,metric_space =,metric_space . metric_space 거리공간 [[계량공간,metric_space]] ? Bing:계량공간 Naver:계량공간 Ggl:계량공간 { 거리공간 metric space MKL [[계량,metric]] [[거리,distance]] https://mathworld.wolfram.com/MetricSpace.html https://encyclopediaofmath.org/wiki/Metric_space [[WpEn:거리_공간]] = https://ko.wikipedia.org/wiki/거리_공간 [[WpEn:Metric_space]] = https://en.wikipedia.org/wiki/Metric_space https://www.britannica.com/science/metric-space Ndict:거리공간 Ndict:"metric space" Ggl:"metric space" Bing:"metric space" "metric space" } [[complete_metric_space]] { Ndict:완비거리공간 ? complete metric space WtEn:complete_metric_space https://proofwiki.org/wiki/Definition:Complete_Metric_Space "complete metric space" } == Polish space == === (+ effective Polish space) === [[폴란드_공간,Polish_space]] =,Polish_space . Polish_space { WtEn:Polish_space https://en.wikipedia.org/wiki/Polish_space Ndict:"Polish space" "Polish space"} [[effective_Polish_space]] { effective Polish space https://en.wikipedia.org/wiki/Effective_Polish_space ~~WtEn:effective_Polish_space x [[Date(2023-08-28T15:22:58)]]~~ Ggl:"effective Polish space" "effective Polish space"} == Baire space == Baire space [[WtEn:Baire_space]] === Baire space (set theory) === [[Baire_space]] =,Baire_space =,Baire_space . Baire_space (set theory) { 누구? 발음? [[WpEn:Baire_space_(set_theory)]] = https://en.wikipedia.org/wiki/Baire_space_(set_theory) = https://en.wikipedia.org/wiki/Baire_space_%28set_theory%29 } === Baire space (topology) === [[Baire_space]] =,Baire_space =,Baire_space . Baire_space (topology) { [[WpKo:베르_공간]] = https://ko.wikipedia.org/wiki/베르_공간 [[WpEn:Baire_space]] = https://en.wikipedia.org/wiki/Baire_space } == Hamming space == [[해밍_공간,Hamming_space]] =,Hamming_space =,Hamming_space . Hamming_space { [[해밍_코드,Hamming_code]] { curr. [[VG:해밍_코드,Hamming_code]] https://en.wikipedia.org/wiki/Hamming_code } [[문자열,string]] > binary_string WtEn:Hamming_space [[WpEn:Hamming_space]] = https://en.wikipedia.org/wiki/Hamming_space } == version space == === (+ version space learning) === [[version_space]] version_space =,version_space . version_space WtEn:version_space 버전공간 ? version_space_learning =,version_space_learning . version_space_learning 버전공간학습 ? ML(특히 [[이진분류,binary_classification]])에 대한 logical(linked to: WpEn:Symbolic_artificial_intelligence / rel. logic_programming ) approach. https://en.wikipedia.org/wiki/Version_space_learning (Redirected from Version space) [[버전,version]] [[학습,learning]] == half-space == [[half-space]] =,half-space =,half-space . half-space { KmsE:"half space" : 반공간 [[WpEn:Half-space_(geometry)]] = https://en.wikipedia.org/wiki/Half-space_(geometry) = https://en.wikipedia.org/wiki/Half-space_%28geometry%29 no wpko([[Date(2023-08-24T13:20:56)]]) Ggl:반공간 Ndict:half-space (??) Bing:half-space Ggl:half-space } chk: hyphen 빼도 되는지? halfspace Ggl:halfspace Naver:halfspace Bing:halfspace =,halfspace . == homogeneous space == [[동차공간]] =동차공간, [[homogeneous_space]] =,homogeneous_space =,homogeneous_space . homogeneous_space 동차공간 (wk) 동차공간, 동질공간 (kms) KmsE:"homogeneous space" [[WtEn:homogeneous_space]] = https://en.wiktionary.org/wiki/homogeneous_space [[WpEn:Homogeneous_space]] = https://en.wikipedia.org/wiki/Homogeneous_space [[WpKo:동차_공간]] = https://ko.wikipedia.org/wiki/동차_공간 ... Ndict:동차공간 Ggl:동차공간 동차공간 Ndict:"homogeneous space" Bing:"homogeneous space" Ggl:"homogeneous space" "homogeneous space" == hyperbolic space == [[hyperbolic_space]] =,hyperbolic_space =,hyperbolic_space . hyperbolic_space [[WpKo:쌍곡공간]] = https://ko.wikipedia.org/wiki/쌍곡공간 "쌍곡 기하학([[쌍곡기하학]] hyperbolic_geometry ?)에서 쌍곡공간(雙曲空間, 영어: hyperbolic space)은 균일한 음의 [[곡률,curvature]]을 갖는 [[동차공간]]이다." ([[쌍곡평면]]에서 넘어옴) WtEn:hyperbolic_space [[WpEn:Hyperbolic_space]] = https://en.wikipedia.org/wiki/Hyperbolic_space ... Ndict:쌍곡공간 Ggl:쌍곡공간 Bing:쌍곡공간 쌍곡공간 MKL [[쌍곡기하]] [[hyperbolic_geometry]] =,hyperbolic_geometry =,hyperbolic_geometry . hyperbolic_geometry { WtEn:hyperbolic_geometry https://mathworld.wolfram.com/HyperbolicGeometry.html https://ko.wikipedia.org/wiki/쌍곡기하학 https://simple.wikipedia.org/wiki/Hyperbolic_geometry https://en.wikipedia.org/wiki/Hyperbolic_geometry (Redirected from WpEn:Hyperbolic_plane) Up: 비유클리드_기하 의 일종. [[non-Euclidean_geometry]] } ''(MISC, DEL) [[Date(2023-08-28T15:22:58)]] 현재 redirections: Wikipedia English: 쌍곡평면 redir to 쌍곡기하 / Wikipeida Korean: 쌍곡평면 redir to 쌍곡공간'' == T,,0,,공간 T,,0,, space = 콜모고로프 공간 Kolmogorov space == pagename? T0공간 T_0공간 .... T0 공간 "T0 공간" 콜모고로프 공간 콜모고로프_공간 Kolmogorov space Kolmogorov_space [[콜모고로프_공간,Kolmogorov_space]] =,Kolmogorov_space . Kolmogorov_space WtEn:Kolmogorov_space WpSp:Kolmogorov_space = https://simple.wikipedia.org/wiki/Kolmogorov_space x [[Date(2023-09-07T15:50:48)]] WpEn:Kolmogorov_space https://proofwiki.org/wiki/Definition:Kolmogorov_Space Ndict:"T0 공간" Ggl:"T0 공간" Bing:"T0 공간" "T0 공간" // KmsE:"Kolmogorov" => 콜모고로프. - https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=Kolmogorov == T,,1,,공간 T,,1,, space == ... Ndict:"T1 공간" Ggl:"T1 공간" Bing:"T1 공간" "T1 공간" == T,,2,,공간 T,,2,, space = 하우스도르프 공간 Hausdorff space == 하우스도르프 공간 (수백:) 서로 다른 두 [[점,point]]을 [[열린집합,open_set]]으로 [[분리]]''[[WtEn:separation]]? WtEn:distinctness ?''할 수 있는 [[위상공간,topological_space]] AKA T,,2,,공간 [[거리공간,metric_space]]( Srch:metric_space 측도공간? Ggl:측도공간 WtEn:metric_space )은 '''하우스도르프 공간'''임. [[https://terms.naver.com/entry.naver?docId=5669228&cid=60207&categoryId=60207 수학백과: 하우스도르프 공간]] ... Naver:"하우스도르프 공간" Ggl:"하우스도르프 공간" Bing:"하우스도르프 공간" "하우스도르프 공간" ~~Ndict:"Hausdorff space"~~ x Naver:"Hausdorff space" Ggl:"Hausdorff space" Bing:"Hausdorff space" "Hausdorff space" ... Ndict:"T2 공간" Ggl:"T2 공간" Bing:"T2 공간" "T2 공간" == Tx 공간 ... tmp (x∈ℕ? - No, see WpEn:Separation_axiom and WpEn:History_of_the_separation_axioms 보면 분수도 보인다. (간단히는 오른쪽 표)) == === T1공간은 T0공간이다. === https://proofwiki.org/wiki/T1_Space_is_T0_Space == 위상공간 topological space == [[위상공간,topological_space]] [[VG:위상공간,topological_space]] 위상공간 topological_space topological space Ndict:위상공간 Ggl:위상공간 WtEn:topological_space Ggl:"topological space" "topological space" == 바나흐 공간 Banach space == 바나흐 공간 Banach space [[바나흐_공간,Banach_space]] =바나흐_공간,Banach_space =,Banach_space . Banach_space WtEn:Banach_space Ndict:"바나흐 공간" [[https://terms.naver.com/entry.naver?docId=3405089&cid=47324&categoryId=47324 수학백과: 바나흐 공간]] "[[벡터공간,vector_space]]에 [[노름,norm]]이 정의되어 있으면 [[노름공간,normed_space]]이고, 이게 [[완비성,completeness]]을 가지면 '''바나흐 공간'''이라고 한다." Ggl:"바나흐 공간" Ggl:"Banach space" == 유클리드 공간 Euclidean space == [[유클리드_공간,Euclidean_space]] == configuration space (물리) == '''configuration space''' https://ko.wikipedia.org/wiki/짜임새_공간 WtEn:configuration_space ? WpSp:Configuration_space ? x 2023-11 [[WpEn:Configuration_space]] = https://en.wikipedia.org/wiki/Configuration_space_(mathematics) [[물리학,physics]]에서 [[상태공간,state_space]] 및 [[위상공간,phase_space]]에 밀접한 개념임 Ndict:"configuration space" Ggl:"configuration space" Up: [[configuration]] =,configuration . configuration KmsE:configuration KpsE:configuration KcsE:configuration Srch:configuration == 곱공간 product space == [[곱공간,product_space]] =곱공간,product_space =,product_space 곱공간 product_space KmsE:"product space" ? WtEn:product_space = https://en.wiktionary.org/wiki/product_space x [[Date(2023-11-29T11:41:10)]] MKL [[내적공간,inner_product_space]] Ndict:곱공간 ? Ggl:곱공간 ? == ADDHERE(무슨공간) == == ADDHERE(무슨공간) == == ADDHERE(무슨공간) == == ADDHERE(무슨공간) == == ADDHERE(무슨공간) == == ADDHERE(무슨공간) == = 공간/space 관련 주제/Topics = == space partitioning .. 공간분할 ?? == partitioning '''space''': [[space_partitioning]] =,space_partitioning =,space_partitioning . space_partitioning { 공간분할 ? https://en.wikipedia.org/wiki/Space_partitioning } binary_space_partitioning (BSP) Euclidean_space 를 hyperplane 상의 [[볼록집합,convex_set]]으로 partitioning([[분할,partition]]하기)하는 기법, data_structure [[트리,tree]]구조인 BSP_tree ... (wk) https://ko.wikipedia.org/wiki/이진_공간_분할법 https://en.wikipedia.org/wiki/Binary_space_partitioning Ggl:공간분할 Naver:공간분할 공간분할 == and == [[기저,basis]]: '''공간'''을 표현하기 위해 최소로 필요한 성분 각 기저들은 직교. 내적하면 0. 그람슈미트직교화 그람-슈미트+직교화 Ndict:그람-슈미트+직교화 Ggl:그람-슈미트+직교화 == ADDHERE(공간관련subs) == == ADDHERE(공간관련subs) == == ADDHERE(공간관련subs) == == ADDHERE(공간관련subs) == == ADDHERE(공간관련subs) == == ADDHERE(공간관련subs) == = 수학의 공간이 아닌 공간 = [[semantic_space]] Srch:semantic_space [[conceptual_space]] =,conceptual_space . conceptual_space WpEn:Conceptual_space rel [[개념,concept]]? Srch:conceptual_space = ... = [[WpJa:空間_(数学)]] = https://ja.wikipedia.org/wiki/空間_(数学) 영단어: [[스페이스,space]] [[VG:공간,space]] ---- Up: [[선형대수,linear_algebra]]