<> = Sub = == topological m. == 위상다양체 topological_manifold WtEn:topological_manifold https://mathworld.wolfram.com/TopologicalManifold.html https://www.proofwiki.org/wiki/Definition:Topological_Manifold WpSp:topological_manifold jjjjjjjjjjj [[WpEn:Topological_manifold]] = https://en.wikipedia.org/wiki/Topological_manifold https://ncatlab.org/nlab/show/topological+manifold ... Ndict:topological+manifold Ggl:topological+manifold topological+manifold == differentiable m. = smooth m. == 미분다양체 differentiable_manifold = 매끄러운다양체 smooth_manifold https://mathworld.wolfram.com/SmoothManifold.html https://freshrimpsushi.github.io/posts/differentiable-manifold/ ... Ndict:미분다양체 Bing:미분다양체 KmsK:미분다양체 Ggl:미분다양체 WpKo:미분다양체 Naver:매끄러운다양체 == complex m. == 복소다양체 complex_manifold [[complex_manifold]] =,complex_manifold =,complex_manifold . complex_manifold WtEn:complex_manifold MKLINK: complex_structure { https://ncatlab.org/nlab/show/complex+structure } WpKo:복소다양체 = https://ko.wikipedia.org/wiki/복소다양체 WpSp:complex_manifold eeeeeeeeeeee WpEn:Complex_manifold = https://en.wikipedia.org/wiki/Complex_manifold https://www.proofwiki.org/wiki/Definition:Topological_Manifold/Complex_Manifold === almost complex m. === almost complex manifold almost_complex_manifold MKLINK: almost_complex_structure or almost-complex_structure { https://encyclopediaofmath.org/wiki/Almost-complex_structure } https://ko.wikipedia.org/wiki/개복소다양체 https://en.wikipedia.org/wiki/Almost_complex_manifold Up: 매끄러운다양체 == symplectic m. == (tmp) WtEn:symplectic KmsE:symplectic NdEn:symplectic Bing:symplectic Ggl:symplectic [[symplectic]] =,symplectic . 사교다양체 symplectic_manifold [[symplectic_manifold]] =,symplectic_manifold =,symplectic_manifold . symplectic_manifold WtEn:symplectic_manifold 심플렉틱 다양체, 사교다양체 MKLINK: [[symplectic_structure]] [[symplectic_form]] https://encyclopediaofmath.org/wiki/Symplectic_manifold https://mathworld.wolfram.com/SymplecticManifold.html WpKo:심플렉틱_다양체 https://ncatlab.org/nlab/show/symplectic+manifold MKL [[symplectic_geometry]] == smooth m. / differentiable m. (DUPLICATED; 저위로 MERGE) == 매끄러운다양체 smooth_manifold WpKo:매끄러운_다양체 https://mathworld.wolfram.com/SmoothManifold.html https://www.proofwiki.org/wiki/Definition:Topological_Manifold/Smooth_Manifold https://ncatlab.org/nlab/show/smooth+manifold [[매끄러움,smoothness]] 미분가능다양체 differentiable_manifold =,differentiable_manifold =,differentiable_manifold . differentiable_manifold WtEn:differentiable_manifold https://www.proofwiki.org/wiki/Definition:Differentiable_Manifold WpSp:differentiable_manifold gggggg [[WpEn:Differentiable_manifold]] = https://en.wikipedia.org/wiki/Differentiable_manifold [[미분가능성,differentiability]] == Kähler m. == Kähler Ggl:Kähler Naver:Kähler Kähler_manifold WtKo:ä = https://ko.wiktionary.org/wiki/ä WtEn:ä https://ko.wikipedia.org/wiki/움라우트 - 그럼 ae로 표현? Kahler_manifold or Kaehler_manifold - pagename TBD. WtEn:ä Ndict:ä Naver:ä Bing:ä Ggl:ä Ggl:ä+transliteration Naver:ä+표기 Ggl:ä+표기 [[WpEn:Kähler_manifold]] = https://en.wikipedia.org/wiki/Kähler_manifold == m. learning == 다양체학습? [[학습,learning]] [[manifold_learning]] =,manifold_learning =,manifold_learning . manifold_learning { WtEn:manifold_learning WpSp:manifold_learning eeeeeee WpEn:manifold_learning ffffffff ... Naver:"manifold learning" Google:"manifold learning" YouTube:"manifold learning" "manifold learning" manifold+learning } = MKLINK = [[differential_geometry]] [[symplectic_geometry]] =,symplectic_geometry =,symplectic_geometry . symplectic_geometry { WtEn:symplectic_geometry WpSp:symplectic_geometry iiiiii https://en.wikipedia.org/wiki/Symplectic_geometry } [[단위원판,unit_disk]] =단위원판,unit_disk =,unit_disk 단위원판 unit_disk { WtEn:unit_disk WpSp:Unit_disk [[WpEn:Unit_disk]] = https://en.wikipedia.org/wiki/Unit_disk [[단위,unit]] [[원판,disk]] ... Namu:단위원판 Libre:단위원판 Ndict:단위원판 Ggl:단위원판 Bing:단위원판 } [[열린단위원판,open_unit_disk]] =열린단위원판,open_unit_disk =,open_unit_disk 열린단위원판 open_unit_disk { WtEn:open_unit_disk WpEn:open_unit_disk Ndict:열린단위원판 Naver:열린단위원판 Bing:열린단위원판 Ggl:열린단위원판 } '''manifold'''는 shape의 [[일반화,generalization]]? shape에 대한 페이지를 만들어야 하는데... or figure? [[모양,shape]] or [[도형,shape]] or [[도형,geometric_shape]] - 도형이 좀더 기하적인 용어 { Namu:도형 } '''다양체,manifold''' [[개념,concept]]은 [[곡면,surface]]이나 [[공간,space]] 개념의 [[일반화,generalization]]? [* https://youtu.be/62WNNkoRCLE?si=cUKHk5Ls6SMu_C_E&t=33] = Bmks = == The Bright Side of Mathematics (YouTube) == https://www.youtube.com/@brightsideofmaths Manifolds (Playlist) https://www.youtube.com/playlist?list=PLBh2i93oe2qvRGAtgkTszX7szZDVd6jh1 [[Date(2023-09-13T14:12:06)]] 현재 Part 20까지 있고 '사용할 수 없는 동영상 5개가 숨겨졌습니다.' + 마지막 Part 20만 dark version 있음, 8일 전. - dark version 만드는 중? === 1 === Manifolds - Part 1 - Introduction and Topology - YouTube https://www.youtube.com/watch?v=62WNNkoRCLE&ab_channel=TheBrightSideofMathematics rel [[위상,topology]] [[위상수학,topology]] == the Manifold Atlas Project == Manifold Atlas http://www.map.mpim-bonn.mpg.de/Main_Page = 같은단어 = == 같은 한국어 단어, 다른 영어 단어: == [[다양체,variety]] == manifold == see [[매니폴드,manifold]] = Twins: = https://artofproblemsolving.com/wiki/index.php/Manifold https://mathworld.wolfram.com/Manifold.html [[WpSp:Manifold]] = https://simple.wikipedia.org/wiki/Manifold [[WpEn:Manifold]] = https://en.wikipedia.org/wiki/Manifold https://www.proofwiki.org/wiki/Definition:Manifold [[Namu:다양체]] = https://namu.wiki/w/다양체 ... Ndict:다양체 (한글검색결과에선 [[다양체,variety]] 내용을 구분할 것..) Ndict:manifold Naver:다양체+manifold Bing:다양체+manifold Ggl:다양체+manifold YouTube:다양체+manifold ---- cp from local at [[Date(2023-09-24T19:58:36)]] [[WpKo:다양체]] = https://ko.wikipedia.org/wiki/다양체 [[WpSp:Manifold]] = https://simple.wikipedia.org/wiki/Manifold [[WpEn:Manifold]] https://mathworld.wolfram.com/Manifold.html https://ncatlab.org/nlab/show/manifold https://encyclopediaofmath.org/wiki/Manifold [[Libre:다양체]] = https://librewiki.net/wiki/다양체 //// 2022-2 현재토막글 / 2023-09 현재도 https://everything2.com/title/manifold https://planetmath.org/manifold ----