Difference between r1.20 and the current
@@ -90,6 +90,7 @@
다양체학습? [[학습,learning]]
[[manifold_learning]] =,manifold_learning =,manifold_learning . manifold_learning
{
WtEn:manifold_learning
[[manifold_learning]] =,manifold_learning =,manifold_learning . manifold_learning
{
'''manifold learning'''
WtEn:manifold_learning
@@ -97,13 +98,11 @@
WpEn:manifold_learning ffffffff
MKL locally_linear_embedding (LLE) / [[dimensionality_reduction]]
...Naver:"manifold learning"
Google:"manifold learning"
YouTube:"manifold learning"
}// manifold learning ..... Naver:"manifold learning" Google:"manifold learning" YouTube:"manifold learning"
= MKLINK =
[[differential_geometry]]
1.1. topological m. ¶
위상다양체 topological_manifold
topological_manifold
https://mathworld.wolfram.com/TopologicalManifold.html
https://www.proofwiki.org/wiki/Definition:Topological_Manifold
topological_manifold jjjjjjjjjjj
Topological_manifold = https://en.wikipedia.org/wiki/Topological_manifold
https://ncatlab.org/nlab/show/topological manifold
...
topological manifold
topological manifold
topological+manifold
https://mathworld.wolfram.com/TopologicalManifold.html
https://www.proofwiki.org/wiki/Definition:Topological_Manifold
topological_manifold jjjjjjjjjjj
Topological_manifold = https://en.wikipedia.org/wiki/Topological_manifold
https://ncatlab.org/nlab/show/topological manifold
...
topological manifold
topological manifold
topological+manifold
1.3. complex m. ¶
복소다양체 complex_manifold
complex_manifold =,complex_manifold =,complex_manifold . complex_manifold
complex_manifold
complex_manifold =,complex_manifold =,complex_manifold . complex_manifold
complex_manifold
1.3.1. almost complex m. ¶
almost complex manifold
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
https://ko.wikipedia.org/wiki/개복소다양체
https://en.wikipedia.org/wiki/Almost_complex_manifold
Up: 매끄러운다양체
1.4. symplectic m. ¶
(tmp) symplectic symplectic symplectic symplectic symplectic
symplectic =,symplectic .
사교다양체 symplectic_manifold
symplectic_manifold =,symplectic_manifold =,symplectic_manifold . symplectic_manifold
symplectic_manifold
symplectic_geometry
symplectic =,symplectic .
사교다양체 symplectic_manifold
symplectic_manifold =,symplectic_manifold =,symplectic_manifold . symplectic_manifold
symplectic_manifold
심플렉틱 다양체, 사교다양체
MKLINK: symplectic_structure symplectic_form
https://encyclopediaofmath.org/wiki/Symplectic_manifold
https://mathworld.wolfram.com/SymplecticManifold.html
심플렉틱_다양체
https://ncatlab.org/nlab/show/symplectic manifold
MKLMKLINK: symplectic_structure symplectic_form
https://encyclopediaofmath.org/wiki/Symplectic_manifold
https://mathworld.wolfram.com/SymplecticManifold.html
심플렉틱_다양체
https://ncatlab.org/nlab/show/symplectic manifold
symplectic_geometry
1.5. smooth m. / differentiable m. (DUPLICATED; 저위로 MERGE) ¶
매끄러운다양체 smooth_manifold
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_manifoldhttps://mathworld.wolfram.com/SmoothManifold.html
https://www.proofwiki.org/wiki/Definition:Topological_Manifold/Smooth_Manifold
https://ncatlab.org/nlab/show/smooth manifold
매끄러움,smoothness
1.6. Kähler m. ¶
1.7. m. learning ¶
다양체학습? 학습,learning
manifold_learning =,manifold_learning =,manifold_learning . manifold_learning
{
manifold learning
manifold_learning =,manifold_learning =,manifold_learning . manifold_learning
{
manifold learning
MKL locally_linear_embedding (LLE) / dimensionality_reduction
...
}// manifold learning ..... manifold learning manifold learning manifold learning
...
}// manifold learning ..... manifold learning manifold learning manifold learning
2. MKLINK ¶
differential_geometry
symplectic_geometry =,symplectic_geometry =,symplectic_geometry . symplectic_geometry
{
symplectic_geometry
symplectic_geometry iiiiii
https://en.wikipedia.org/wiki/Symplectic_geometry
}
단위원판,unit_disk =단위원판,unit_disk =,unit_disk 단위원판 unit_disk
{
unit_disk
Unit_disk
Unit_disk = https://en.wikipedia.org/wiki/Unit_disk
symplectic_geometry =,symplectic_geometry =,symplectic_geometry . symplectic_geometry
{
symplectic_geometry
symplectic_geometry iiiiii
https://en.wikipedia.org/wiki/Symplectic_geometry
}
단위원판,unit_disk =단위원판,unit_disk =,unit_disk 단위원판 unit_disk
{
unit_disk
Unit_disk
Unit_disk = https://en.wikipedia.org/wiki/Unit_disk
단위,unit 원판,disk
... 단위원판 단위원판 단위원판 단위원판 단위원판
}
열린단위원판,open_unit_disk =열린단위원판,open_unit_disk =,open_unit_disk 열린단위원판 open_unit_disk
{
open_unit_disk
open_unit_disk
... 단위원판 단위원판 단위원판 단위원판 단위원판
}
열린단위원판,open_unit_disk =열린단위원판,open_unit_disk =,open_unit_disk 열린단위원판 open_unit_disk
{
open_unit_disk
open_unit_disk
manifold는 shape의 일반화,generalization?
shape에 대한 페이지를 만들어야 하는데... or figure?
모양,shape or 도형,shape or 도형,geometric_shape - 도형이 좀더 기하적인 용어
{
도형
}
shape에 대한 페이지를 만들어야 하는데... or figure?
모양,shape or 도형,shape or 도형,geometric_shape - 도형이 좀더 기하적인 용어
{
도형
}
3.1. The Bright Side of Mathematics (YouTube) ¶
Manifolds (Playlist)
https://www.youtube.com/playlist?list=PLBh2i93oe2qvRGAtgkTszX7szZDVd6jh1
2023-09-13 현재 Part 20까지 있고 '사용할 수 없는 동영상 5개가 숨겨졌습니다.' + 마지막 Part 20만 dark version 있음, 8일 전. - dark version 만드는 중?
https://www.youtube.com/playlist?list=PLBh2i93oe2qvRGAtgkTszX7szZDVd6jh1
2023-09-13 현재 Part 20까지 있고 '사용할 수 없는 동영상 5개가 숨겨졌습니다.' + 마지막 Part 20만 dark version 있음, 8일 전. - dark version 만드는 중?
3.1.1. 1 ¶
Manifolds - Part 1 - Introduction and Topology - YouTube
https://www.youtube.com/watch?v=62WNNkoRCLE&ab_channel=TheBrightSideofMathematics
https://www.youtube.com/watch?v=62WNNkoRCLE&ab_channel=TheBrightSideofMathematics
5. Twins: ¶
https://artofproblemsolving.com/wiki/index.php/Manifold
https://mathworld.wolfram.com/Manifold.html
Manifold = https://simple.wikipedia.org/wiki/Manifold
Manifold = https://en.wikipedia.org/wiki/Manifold
https://www.proofwiki.org/wiki/Definition:Manifold
다양체 = https://namu.wiki/w/다양체
https://mathworld.wolfram.com/Manifold.html
Manifold = https://simple.wikipedia.org/wiki/Manifold
Manifold = https://en.wikipedia.org/wiki/Manifold
https://www.proofwiki.org/wiki/Definition:Manifold
다양체 = https://namu.wiki/w/다양체
cp from local at 2023-09-25
다양체 = https://ko.wikipedia.org/wiki/다양체
Manifold = https://simple.wikipedia.org/wiki/Manifold
Manifold
https://mathworld.wolfram.com/Manifold.html
https://ncatlab.org/nlab/show/manifold
https://encyclopediaofmath.org/wiki/Manifold
다양체 = https://librewiki.net/wiki/다양체 //// 2022-2 현재토막글 / 2023-09 현재도
https://everything2.com/title/manifold
https://planetmath.org/manifold
다양체 = https://ko.wikipedia.org/wiki/다양체
Manifold = https://simple.wikipedia.org/wiki/Manifold
Manifold
https://mathworld.wolfram.com/Manifold.html
https://ncatlab.org/nlab/show/manifold
https://encyclopediaofmath.org/wiki/Manifold
다양체 = https://librewiki.net/wiki/다양체 //// 2022-2 현재토막글 / 2023-09 현재도
https://everything2.com/title/manifold
https://planetmath.org/manifold