Contents
1
.
Sub
1.1
.
topological m.
1.2
.
differentiable m. = smooth m.
1.3
.
complex m.
1.3.1
.
almost complex m.
1.4
.
symplectic m.
1.5
.
smooth m. / differentiable m. (DUPLICATED; 저위로 MERGE)
1.6
.
Kähler m.
1.7
.
m. learning
2
.
MKLINK
3
.
Bmks
3.1
.
The Bright Side of Mathematics (YouTube)
3.1.1
.
1
3.2
.
the Manifold Atlas Project
4
.
같은단어
4.1
.
같은 한국어 단어, 다른 영어 단어:
4.2
.
manifold
5
.
Twins:
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1
.
Sub
¶
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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
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1.2
.
differentiable m. = smooth m.
¶
미분다양체 differentiable_manifold = 매끄러운다양체 smooth_manifold
https://mathworld.wolfram.com/SmoothManifold.html
https://freshrimpsushi.github.io/posts/differentiable-manifold/
...
미분다양체
미분다양체
미분다양체
미분다양체
미분다양체
매끄러운다양체
[
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1.3
.
complex m.
¶
복소다양체 complex_manifold
complex_manifold
=,complex_manifold =,complex_manifold . complex_manifold
complex_manifold
MKLINK: complex_structure {
https://ncatlab.org/nlab/show/complex structure
}
복소다양체
=
https://ko.wikipedia.org/wiki/복소다양체
complex_manifold
eeeeeeeeeeee
Complex_manifold
=
https://en.wikipedia.org/wiki/Complex_manifold
https://www.proofwiki.org/wiki/Definition:Topological_Manifold/Complex_Manifold
[
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1.3.1
.
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
[
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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
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
MKL
symplectic_geometry
[
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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_manifold
differentiable_manifold
https://www.proofwiki.org/wiki/Definition:Differentiable_Manifold
differentiable_manifold
gggggg
Differentiable_manifold
=
https://en.wikipedia.org/wiki/Differentiable_manifold
미분가능성,differentiability
[
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1.6
.
Kähler m.
¶
Kähler
Kähler
Kähler
Kähler_manifold
ä
=
https://ko.wiktionary.org/wiki/ä
ä
https://ko.wikipedia.org/wiki/움라우트
- 그럼 ae로 표현?
Kahler_manifold or
Kaehler_manifold - pagename TBD.
ä
ä
ä
ä
ä
ä transliteration
ä 표기
ä 표기
Kähler_manifold
=
https://en.wikipedia.org/wiki/Kähler_manifold
[
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]
1.7
.
m. learning
¶
다양체학습?
학습,learning
manifold_learning
=,manifold_learning =,manifold_learning . manifold_learning
{
manifold_learning
manifold_learning
eeeeeee
manifold_learning
ffffffff
...
manifold learning
manifold learning
manifold learning
"manifold learning"
manifold+learning
}
[
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]
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
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
열린단위원판
열린단위원판
열린단위원판
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
{
도형
}
다양체,manifold
개념,concept
은
곡면,surface
이나
공간,space
개념의
일반화,generalization
?
[1]
[
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3
.
Bmks
¶
[
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]
3.1
.
The Bright Side of Mathematics (YouTube)
¶
https://www.youtube.com/@brightsideofmaths
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?
[
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]
3.1.1
.
1
¶
Manifolds - Part 1 - Introduction and Topology - YouTube
https://www.youtube.com/watch?v=62WNNkoRCLE&ab_channel=TheBrightSideofMathematics
rel
위상,topology
위상수학,topology
[
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]
3.2
.
the Manifold Atlas Project
¶
Manifold Atlas
http://www.map.mpim-bonn.mpg.de/Main_Page
[
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]
4
.
같은단어
¶
[
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]
4.1
.
같은 한국어 단어, 다른 영어 단어:
¶
다양체,variety
[
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]
4.2
.
manifold
¶
see
매니폴드,manifold
[
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]
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
...
다양체
(한글검색결과에선
다양체,variety
내용을 구분할 것..)
manifold
다양체 manifold
다양체 manifold
다양체 manifold
다양체 manifold
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
----
[1]
https://youtu.be/62WNNkoRCLE?si=cUKHk5Ls6SMu_C_E&t=33
Retrieved from http://www.red-ruby.com/wiki/wiki.php/다양체,manifold
last modified 2023-12-28 12:41:55