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
.
T
0
공간 T
0
space = 콜모고로프 공간 Kolmogorov space
1.17
.
T
1
공간 T
1
space
1.18
.
T
2
공간 T
2
space = 하우스도르프 공간 Hausdorff space
1.19
.
Tx 공간 ... tmp (x∈ℕ? - No, see
Separation_axiom and
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
.
상태공간 state space
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
.
...
[
edit
]
1
.
Sub
¶
[
edit
]
1.1
.
벡터공간 vector space
¶
벡터공간,vector_space
[
edit
]
1.2
.
선형공간 linear space
¶
선형공간,linear_space
- 바로 위
벡터공간,vector_space
과 동의어.
[
edit
]
1.3
.
부분공간 subspace
¶
부분공간,subspace
부분집합의 원소간의 덧셈과 상수배를 해도 역시 부분집합에 속하는 성질을 가지는 공간
[
edit
]
1.4
.
널공간/영공간 중 TBD. nullspace
¶
널공간 영공간
null_space
nullspace -
영공간,null_space
[
edit
]
1.5
.
표본공간 sample space
¶
표본공간,sample_space
- has moved to
표본공간,sample_space
[
edit
]
1.6
.
가측공간? measurable space
¶
[
edit
]
1.6.1
.
(+ Borel measurable space) 보렐 가측공간?
¶
가측공간,measurable_space
보렐_가측공간,Borel_measurable_space
[
edit
]
1.7
.
affine space
¶
affine space
아핀공간 ?
아핀공간,affine_space
MKL
incidence_geometry
=,incidence_geometry =,incidence_geometry . incidence_geometry
{
incidence geometry
incidence geometry
incidence_geometry
? iiiiiiiiiiijjjj
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
{
irreflexive_relation
} of incidence is considered."
"incidence geometry"
incidence geometry
incidence geometry
Rel
incidence
=,incidence =,incidence . incidence
{
incidence
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
incidence_structure
=
https://en.wiktionary.org/wiki/incidence_structure
MKL:
incidence_system
Up:
incidence
structure
"incidence structure"
incidence structure
incidence structure
} // incidence structure
incidence_matrix
=,incidence_matrix . incidence_matrix
{
incidence matrix
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"
incidence matrix
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"
incidence system
incidence system
Up:
incidence
시스템,system
} //
MKL
아핀평면,affine_plane
{ =아핀평면,affine_plane =,affine_plane .
affine_plane
affine_plane
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 {
Moulton_plane
https://en.wikipedia.org/wiki/Moulton_plane
Moulton plane
Moulton plane
Moulton plane
"Moulton plane"
}
Affine_space
=
https://en.wikipedia.org/wiki/Affine_space
[
edit
]
1.8
.
metric space
¶
[
edit
]
1.8.1
.
(+ complete metric space)
¶
metric space
측도공간 or 계량공간 or 거리공간 ...
metric_space
// ....
측도공간
측도공간
측도공간
(??
측도,measure
... measure_space ?
measure_space
measure.space
)
// ....
계량공간
계량공간
계량공간
이라 번역할 수는 없는지? (? metric 이 n. 이라면 이렇게 할 수 있지만 adj. 라면 의미 없는데 ...
metric
metric
metric
)
cf.
계량,metric
=계량,metric =,metric 계량 metric
{
Twins:
천문학백과: 계량 metric
(https://terms.naver.com/entry.naver?docId=6627726&cid=62801&categoryId=62801)
계량
metric
metric
계량
metric
MKL
거리,distance
}
kms는 거리공간이라 함.
거리공간,metric_space
=거리공간,metric_space =,metric_space . metric_space 거리공간
계량공간,metric_space
?
계량공간
계량공간
계량공간
{
거리공간
metric space
MKL
계량,metric
거리,distance
https://mathworld.wolfram.com/MetricSpace.html
https://encyclopediaofmath.org/wiki/Metric_space
거리_공간
=
https://ko.wikipedia.org/wiki/거리_공간
Metric_space
=
https://en.wikipedia.org/wiki/Metric_space
https://www.britannica.com/science/metric-space
거리공간
metric space
metric space
metric space
"metric space"
}
complete_metric_space
{
완비거리공간
?
complete metric space
complete_metric_space
https://proofwiki.org/wiki/Definition:Complete_Metric_Space
"complete metric space"
}
[
edit
]
1.9
.
Polish space
¶
[
edit
]
1.9.1
.
(+ effective Polish space)
¶
폴란드_공간,Polish_space
=,Polish_space . Polish_space {
Polish_space
https://en.wikipedia.org/wiki/Polish_space
Polish space
"Polish space"}
effective_Polish_space
{ effective Polish space
https://en.wikipedia.org/wiki/Effective_Polish_space
effective_Polish_space
x 2023-08-29
effective Polish space
"effective Polish space"}
[
edit
]
1.10
.
Baire space
¶
Baire space
Baire_space
[
edit
]
1.10.1
.
Baire space (set theory)
¶
Baire_space
=,Baire_space =,Baire_space . Baire_space (set theory)
{
누구?
발음?
Baire_space_(set_theory)
=
https://en.wikipedia.org/wiki/Baire_space_(set_theory
)
=
https://en.wikipedia.org/wiki/Baire_space_(set_theory)
}
[
edit
]
1.10.2
.
Baire space (topology)
¶
Baire_space
=,Baire_space =,Baire_space . Baire_space (topology)
{
베르_공간
=
https://ko.wikipedia.org/wiki/베르_공간
Baire_space
=
https://en.wikipedia.org/wiki/Baire_space
}
[
edit
]
1.11
.
Hamming space
¶
해밍_공간,Hamming_space
=,Hamming_space =,Hamming_space . Hamming_space
{
해밍_코드,Hamming_code
{ curr.
해밍_코드,Hamming_code
https://en.wikipedia.org/wiki/Hamming_code
}
문자열,string
> binary_string
Hamming_space
Hamming_space
=
https://en.wikipedia.org/wiki/Hamming_space
}
[
edit
]
1.12
.
version space
¶
[
edit
]
1.12.1
.
(+ version space learning)
¶
version_space
version_space =,version_space . version_space
version_space
버전공간 ?
version_space_learning =,version_space_learning . version_space_learning
버전공간학습 ?
ML(특히
이진분류,binary_classification
)에 대한 logical(linked to:
Symbolic_artificial_intelligence
/ rel. logic_programming ) approach.
https://en.wikipedia.org/wiki/Version_space_learning
(Redirected from Version space)
버전,version
학습,learning
[
edit
]
1.13
.
half-space
¶
half-space
=,half-space =,half-space . half-space
{
half space
: 반공간
Half-space_(geometry)
=
https://en.wikipedia.org/wiki/Half-space_(geometry
)
=
https://en.wikipedia.org/wiki/Half-space_(geometry)
no wpko(2023-08-24)
반공간
half-space
(??)
half-space
half-space
}
chk: hyphen 빼도 되는지? halfspace
halfspace
halfspace
halfspace
=,halfspace .
[
edit
]
1.14
.
homogeneous space
¶
동차공간
=동차공간,
homogeneous_space
=,homogeneous_space =,homogeneous_space . homogeneous_space
동차공간 (wk)
동차공간, 동질공간 (kms)
homogeneous space
homogeneous_space
=
https://en.wiktionary.org/wiki/homogeneous_space
Homogeneous_space
=
https://en.wikipedia.org/wiki/Homogeneous_space
동차_공간
=
https://ko.wikipedia.org/wiki/동차_공간
...
동차공간
동차공간
동차공간
homogeneous space
homogeneous space
homogeneous space
"homogeneous space"
[
edit
]
1.15
.
hyperbolic space
¶
hyperbolic_space
=,hyperbolic_space =,hyperbolic_space . hyperbolic_space
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)
hyperbolic_space
Hyperbolic_space
=
https://en.wikipedia.org/wiki/Hyperbolic_space
...
쌍곡공간
쌍곡공간
쌍곡공간
쌍곡공간
MKL
쌍곡기하
hyperbolic_geometry
=,hyperbolic_geometry =,hyperbolic_geometry . hyperbolic_geometry {
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
Hyperbolic_plane
) Up: 비유클리드_기하 의 일종.
non-Euclidean_geometry
}
(MISC, DEL) 2023-08-29 현재 redirections: Wikipedia English: 쌍곡평면 redir to 쌍곡기하 / Wikipeida Korean: 쌍곡평면 redir to 쌍곡공간
[
edit
]
1.16
.
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
Kolmogorov_space
Kolmogorov_space
=
https://simple.wikipedia.org/wiki/Kolmogorov_space
x 2023-09-08
Kolmogorov_space
https://proofwiki.org/wiki/Definition:Kolmogorov_Space
T0 공간
T0 공간
T0 공간
"T0 공간"
//
Kolmogorov
=> 콜모고로프. -
https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=Kolmogorov
[
edit
]
1.17
.
T
1
공간 T
1
space
¶
...
T1 공간
T1 공간
T1 공간
"T1 공간"
[
edit
]
1.18
.
T
2
공간 T
2
space = 하우스도르프 공간 Hausdorff space
¶
하우스도르프 공간
(수백:)
서로 다른 두
점,point
을
열린집합,open_set
으로
분리
separation
?
distinctness
?
할 수 있는
위상공간,topological_space
AKA T
2
공간
거리공간,metric_space
(
metric_space
측도공간?
측도공간
metric_space
)은
하우스도르프 공간
임.
수학백과: 하우스도르프 공간
(https://terms.naver.com/entry.naver?docId=5669228&cid=60207&categoryId=60207)
...
하우스도르프 공간
하우스도르프 공간
하우스도르프 공간
"하우스도르프 공간"
Hausdorff space
x
Hausdorff space
Hausdorff space
Hausdorff space
"Hausdorff space"
...
T2 공간
T2 공간
T2 공간
"T2 공간"
[
edit
]
1.19
.
Tx 공간 ... tmp (x∈ℕ? - No, see
Separation_axiom
and
History_of_the_separation_axioms
보면 분수도 보인다. (간단히는 오른쪽 표))
¶
[
edit
]
1.19.1
.
T1공간은 T0공간이다.
¶
https://proofwiki.org/wiki/T1_Space_is_T0_Space
[
edit
]
1.20
.
위상공간 topological space
¶
위상공간,topological_space
위상공간,topological_space
위상공간
topological_space
topological space
위상공간
위상공간
topological_space
topological space
"topological space"
[
edit
]
1.21
.
바나흐 공간 Banach space
¶
바나흐 공간
Banach space
바나흐_공간,Banach_space
=바나흐_공간,Banach_space =,Banach_space . Banach_space
Banach_space
바나흐 공간
수학백과: 바나흐 공간
(https://terms.naver.com/entry.naver?docId=3405089&cid=47324&categoryId=47324)
"
벡터공간,vector_space
에
노름,norm
이 정의되어 있으면
노름공간,normed_space
이고, 이게
완비성,completeness
을 가지면
바나흐 공간
이라고 한다."
바나흐 공간
Banach space
[
edit
]
1.22
.
유클리드 공간 Euclidean space
¶
유클리드_공간,Euclidean_space
[
edit
]
1.23
.
configuration space (물리)
¶
configuration space
https://ko.wikipedia.org/wiki/짜임새_공간
configuration_space
?
Configuration_space
? x 2023-11
Configuration_space
=
https://en.wikipedia.org/wiki/Configuration_space_(mathematics
)
물리학,physics
에서
상태공간,state_space
및
위상공간,phase_space
에 밀접한 개념임
configuration space
configuration space
Up:
configuration
=,configuration . configuration
configuration
configuration
configuration
configuration
[
edit
]
1.24
.
곱공간 product space
¶
곱공간,product_space
=곱공간,product_space =,product_space 곱공간 product_space
product space
?
product_space
=
https://en.wiktionary.org/wiki/product_space
x 2023-11-29
MKL
내적공간,inner_product_space
곱공간
?
곱공간
?
[
edit
]
1.25
.
상태공간 state space
¶
상태공간,state_space
-
상태,state
state_space
상태공간
[
edit
]
1.26
.
ADDHERE(무슨공간)
¶
[
edit
]
1.27
.
ADDHERE(무슨공간)
¶
[
edit
]
1.28
.
ADDHERE(무슨공간)
¶
[
edit
]
1.29
.
ADDHERE(무슨공간)
¶
[
edit
]
1.30
.
ADDHERE(무슨공간)
¶
[
edit
]
2
.
공간/space 관련 주제/Topics
¶
[
edit
]
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
=,binary_space_partitioning . binary_space_partitioning (BSP) |=,BSP BSP
{
Euclidean_space 를 hyperplane 상의
볼록집합,convex_set
으로 partitioning(
분할,partition
하기)하는 기법, data_structure
트리,tree
구조인 BSP_tree ... (wk)
REL
이진탐색,binary_search
이진트리,binary_tree
binary_space_partition
=,binary_space_partition . binary_space_partition |=,BSP BSP
{
3D Rendering with Binary Space Partitions - YouTube
https://www.youtube.com/watch?v=yTRzfKh4Tg0
차례로
painter's algorithm
- too much overdrawing
raycasting - 모든 x좌표를 훑어야 함
BSP - no overdrawing
을 알아봄.
}
https://ko.wikipedia.org/wiki/이진_공간_분할법
https://en.wikipedia.org/wiki/Binary_space_partitioning
}
공간분할
공간분할
공간분할
[
edit
]
2.2
.
and
¶
기저,basis
:
공간
을 표현하기 위해 최소로 필요한 성분
각 기저들은 직교. 내적하면 0.
그람슈미트직교화
그람-슈미트+직교화
그람-슈미트 직교화
그람-슈미트 직교화
[
edit
]
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
¶
semantic_space
semantic_space
conceptual_space
=,conceptual_space . conceptual_space
Conceptual_space
rel
개념,concept
?
conceptual_space
이름공간,namespace
-
이름,name
,
식별자,identifier
주소공간,address_space
-
주소,address
문자,character
/
문서,document
/ ....에서 space는
//TODO TOMERGE :
화이트스페이스,whitespace
whitespace character ->
공백,whitespace
or
공백문자,whitespace_character
? =,whitespace =,whitespace_character
{
whitespace character
유니코드 Whitespace(공백) 문자 모음 | GeekNews
https://news.hada.io/topic?id=2604
MKL:
tab_character
backspace_character
띄어쓰기
https://namu.wiki/w/띄어쓰기
에선 word spacing ...
word spacing
띄어쓰기
....근데 일반적인 spacing 얘기보다는, 주로 한국어 문법/맞춤법 얘기. (opp. 붙여쓰기 -
붙여쓰기
)
보통 문자체계/기록/script/writing and printing/......에서
단어,word
의 구분을 위한?
indentation
Sub:
줄바꿈없는공백(문자) NBSP =,nbsp .
rel. newline
https://namu.wiki/w/NBSP
아래아한글 2.x에서 '묶음빈칸'이라는 기능이 있었다고 ... 번역어 후보?
"웹 문서에서는 CSS로 "word-break: keep-all;" 속성을 주면, 영어뿐만 아니라 한글에서도 NBSP를 적용할 수 있다."
soft_hyphen SHY
https://namu.wiki/w/공백
https://ko.wikipedia.org/wiki/공백_문자
Up:
문자,character
특수문자,special_character
?
} // whitespace character ....
whitespace character
whitespace
whitespace
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4
.
...
¶
空間_(数学)
=
https://ja.wikipedia.org/wiki/空間_(数学
)
영단어:
스페이스,space
공간,space
Up:
선형대수,linear_algebra
Retrieved from http://red-ruby.com/wiki/wiki.php/공간,space
last modified 2024-06-23 04:57:06