공간,space

공간,space (rev. 1.30)

Contents

1. Sub
1.1. 벡터공간 vector space
1.2. 선형공간 linear space
1.3. 부분공간 subspace
1.4. 널공간/영공간 중 TBD. nullspace
1.5. 표본공간 sample space
1.6. 가측공간? measurable space
1.6.1. (+ Borel measurable space) 보렐 가측공간?
1.7. affine space
1.8. metric space
1.8.1. (+ complete metric space)
1.9. Polish space
1.9.1. (+ effective Polish space)
1.10. Baire space
1.10.1. Baire space (set theory)
1.10.2. Baire space (topology)
1.11. Hamming space
1.12. version space
1.12.1. (+ version space learning)
1.13. half-space
1.14. homogeneous space
1.15. hyperbolic space
1.16. T0공간 T0 space = 콜모고로프 공간 Kolmogorov space
1.17. T1공간 T1 space
1.18. T2공간 T2 space = 하우스도르프 공간 Hausdorff space
1.19. Tx 공간 ... tmp (x∈ℕ? - No, see WpEn:Separation_axiom and WpEn:History_of_the_separation_axioms보면 분수도 보인다. (간단히는 오른쪽 표))
1.19.1. T1공간은 T0공간이다.
1.20. 위상공간 topological space
1.21. 바나흐 공간 Banach space
1.22. 유클리드 공간 Euclidean space
1.23. configuration space (물리)
1.24. 곱공간 product space
1.25. ADDHERE(무슨공간)
1.26. ADDHERE(무슨공간)
1.27. ADDHERE(무슨공간)
1.28. ADDHERE(무슨공간)
1.29. ADDHERE(무슨공간)
1.30. ADDHERE(무슨공간)
2. 공간/space 관련 주제/Topics
2.1. space partitioning .. 공간분할 ??
2.2. and
2.3. ADDHERE(공간관련subs)
2.4. ADDHERE(공간관련subs)
2.5. ADDHERE(공간관련subs)
2.6. ADDHERE(공간관련subs)
2.7. ADDHERE(공간관련subs)
2.8. ADDHERE(공간관련subs)
3. 수학의 공간이 아닌 공간
4. ...

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1. Sub

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1.1. 벡터공간 vector space

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1.2. 선형공간 linear space

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1.3. 부분공간 subspace

부분공간,subspace
부분집합의 원소간의 덧셈과 상수배를 해도 역시 부분집합에 속하는 성질을 가지는 공간
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1.4. 널공간/영공간 중 TBD. nullspace

널공간 영공간 null_space nullspace - VG:영공간,null_space
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1.5. 표본공간 sample space

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1.6. 가측공간? measurable space

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1.6.1. (+ Borel measurable space) 보렐 가측공간?

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1.7. affine space

affine space
아핀공간 ?


MKL incidence_geometry =,incidence_geometry =,incidence_geometry . incidence_geometry
{
incidence geometry
KmsE: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." (2023-11-06)

"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_(incidence_geometry)
}

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"
}


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1.8. metric space

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1.8.1. (+ 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:계량공간이라 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:








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








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1.9. Polish space

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1.9.1. (+ effective Polish space)

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1.10. Baire space

Baire space
WtEn:Baire_space
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1.10.1. Baire space (set theory)

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1.10.2. Baire space (topology)

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1.11. Hamming space

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1.12. version space

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1.12.1. (+ 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

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1.13. half-space

half-space =,half-space =,half-space . half-space
{
KmsE:half space : 반공간



no wpko(2023-08-24)



chk: hyphen 빼도 되는지? halfspace Ggl:halfspace Naver:halfspace Bing:halfspace =,halfspace .

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1.14. homogeneous space

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1.15. 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,curvature을 갖는 동차공간이다."
(쌍곡평면에서 넘어옴)

WtEn:hyperbolic_space
WpEn:Hyperbolic_space = https://en.wikipedia.org/wiki/Hyperbolic_space



(MISC, DEL) 2023-08-29 현재 redirections: Wikipedia English: 쌍곡평면 redir to 쌍곡기하 / Wikipeida Korean: 쌍곡평면 redir to 쌍곡공간

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1.16. T0공간 T0 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







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1.17. T1공간 T1 space


...
Ndict:T1 공간
Ggl:T1 공간
Bing:T1 공간
"T1 공간"

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1.18. T2공간 T2 space = 하우스도르프 공간 Hausdorff space

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1.19. Tx 공간 ... tmp (x∈ℕ? - No, see WpEn:Separation_axiom and WpEn:History_of_the_separation_axioms보면 분수도 보인다. (간단히는 오른쪽 표))

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1.19.1. T1공간은 T0공간이다.

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1.20. 위상공간 topological space

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1.21. 바나흐 공간 Banach space

바나흐 공간
Banach space

바나흐_공간,Banach_space =바나흐_공간,Banach_space =,Banach_space . Banach_space


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1.22. 유클리드 공간 Euclidean space

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1.23. configuration space (물리)

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1.24. 곱공간 product space

곱공간,product_space =곱공간,product_space =,product_space 곱공간 product_space






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1.25. ADDHERE(무슨공간)

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1.26. ADDHERE(무슨공간)

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1.27. ADDHERE(무슨공간)

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1.28. ADDHERE(무슨공간)

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1.29. ADDHERE(무슨공간)

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1.30. ADDHERE(무슨공간)


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2. 공간/space 관련 주제/Topics

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2.1. 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_set으로 partitioning(분할,partition하기)하는 기법, data_structure 트리,tree구조인 BSP_tree ... (wk)
https://ko.wikipedia.org/wiki/이진_공간_분할법
https://en.wikipedia.org/wiki/Binary_space_partitioning

Ggl:공간분할
Naver:공간분할
공간분할

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2.2. and

기저,basis: 공간을 표현하기 위해 최소로 필요한 성분
각 기저들은 직교. 내적하면 0.
그람슈미트직교화
그람-슈미트+직교화
Ndict:그람-슈미트 직교화
Ggl:그람-슈미트 직교화


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2.3. ADDHERE(공간관련subs)

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2.4. ADDHERE(공간관련subs)

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2.5. ADDHERE(공간관련subs)

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2.6. ADDHERE(공간관련subs)

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2.7. ADDHERE(공간관련subs)

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2.8. ADDHERE(공간관련subs)


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3. 수학의 공간이 아닌 공간

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4. ...

공간,space Modified on 4:57 am, June 23, 2024.
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