Difference between r1.22 and the current
@@ -310,7 +310,35 @@
}
[[부분집합,subset]]
[[널집합,null_set]] Srch:null_set WtEn:null_set
WtEn:measure
[[부분집합,subset]]
[[널집합,null_set]] Srch:null_set WtEn:null_set
[[content]] =,content =,content . content
{
'''content'''
다음세개 via KmsE:content as of [[Date(2024-07-04T17:52:43)]]
{
content 내용, 용량
content of a polynomial 다항식의 내용
inner content 내확도
}
}// content measure theory .... Ggl:"content measure theory" Bing:"content measure theory"
[[valuation]] =,valuation =,valuation . valuation
{
'''valuation'''
생각해보면 measure와 단어 뜻 자체가 비슷하다....
다음 7개에서 evaluation 빼고 3개 - via KmsE:valuation as of [[Date(2024-07-04T17:52:43)]]
{
valuation 값매김, 부치
Archimedian valuation 아르키메데스 부치
Euclidean valuation 유클리드 영역함수
}
https://ncatlab.org/nlab/show/sigma-continuous+valuation
https://ncatlab.org/nlab/show/valuation+%28measure+theory%29
}// valuation measure theory ... Ggl:"valuation measure theory" Bing:"valuation measure theory"
= Foot =WtEn:measure
measure
측도
측도
rel. measure_zero measure zero ( https://mathworld.wolfram.com/MeasureZero.html )
https://ko.wikipedia.org/wiki/영집합
Up: 널,null 집합,set 측도론,measure_theory
}
표현들
almost everywhere, a.e. - 측도공간,measure_space에 대해, 널집합,null_set을 제외한
almost surely, a.s.
측도론
measure theory
Up: 널,null 집합,set 측도론,measure_theory
}
표현들
almost everywhere, a.e. - 측도공간,measure_space에 대해, 널집합,null_set을 제외한
almost surely, a.s.
측도론measure theory
Contents
- 1. Sub:
- 1.1. Hausdorff measure
- 1.2. Martin measure
- 1.3. Borel measure
- 1.4. 르베그 측도 Lebesgue measure
- 1.5. discrete measure
- 1.6. signed measure
- 1.7. probability measure
- 1.8. discrete measure
- 1.9. measure space
- 1.10. measurable space
- 1.11. Wiener measure
- 1.12. positive measure
- 1.13. counting measure
- 1.14. outer measure
- 1.15. premeasure
- 1.16. Caratheodory measure
- 1.17. 셈 측도, counting measure
- 1.18. ADD_MEASURE_HERE
- 1.19. ADD_MEASURE_HERE
- 1.20. ADD_MEASURE_HERE
- 1.21. ADD_MEASURE_HERE
- 1.22. ADD_MEASURE_HERE
- 1.23. ADD_MEASURE_HERE
- 2. Topics: / REL / MKL
- 3. Foot
![[https]](/wiki/imgs/https.png)
1.5. discrete measure ¶
discrete measure
discrete_measure =,discrete_measure =,discrete_measure . discrete_measure
discrete measure
이산측도[1]
discrete_measure =,discrete_measure =,discrete_measure . discrete_measure
discrete measure
이산측도[1]
discrete_measure
Discrete_measure = https://en.wikipedia.org/wiki/Discrete_measurehttps://ja.wikipedia.org/wiki/離散測度
discrete measure
discrete measure"discrete measure"
1.6. signed measure ¶
signed measure
부호측도 (wk)
부호있는측도 ?
signed measure
signed_measure =,signed_measure =,signed_measure . signed_measuresigned_measure
부호측도 (wk)
부호있는측도 ?
signed measuresigned_measure =,signed_measure =,signed_measure . signed_measure
signed_measurehttps://en.wikipedia.org/wiki/Signed_measure
https://ko.wikipedia.org/wiki/부호_측도
https://encyclopediaofmath.org/wiki/Signed_measure
signed measure
signed measure
"signed measure"
https://ko.wikipedia.org/wiki/부호_측도
https://encyclopediaofmath.org/wiki/Signed_measure
generalized measure, real valued measure, charge
signed measuresigned measure"signed measure"
1.7. probability measure ¶
probability_measure =,probability_measure =,probability_measure . probability_measure
probability_measure
https://en.wikipedia.org/wiki/Probability_measure
probability_measurehttps://en.wikipedia.org/wiki/Probability_measure
확률측도 ?
"probability measure"
"probability measure"
1.8. discrete measure ¶
discrete_measure =,discrete_measure =,discrete_measure . discrete_measure
이산측도?
discrete_measure
https://encyclopediaofmath.org/wiki/Discrete_measure
discreteness - maybe 이산성,discreteness
discrete_measurehttps://encyclopediaofmath.org/wiki/Discrete_measure
discreteness - maybe 이산성,discreteness
1.9. measure space ¶
measure space
measure_space =,measure_space =,measure_space . measure_spacemeasure_space
측도공간?
measure space
measure_space =,measure_space =,measure_space . measure_space
measure_space측도공간?
measure spaceMeasure_space= https://en.wikipedia.org/wiki/Measure_space
이것의 중요한 example: 확률공간,probability_space =확률공간,probability_space =,probability_space 확률공간 probability_space { MKL 확률측도,probability_measure https://simple.wikipedia.org/wiki/Probability_space https://en.wikipedia.org/wiki/Probability_space https://ko.wikipedia.org/wiki/확률_공간 확률공간 확률공간 확률공간 }
no wk. 2023-08-28
https://encyclopediaofmath.org/wiki/Measure_space확률공간 확률공간 확률공간 }no wk. 2023-08-28
https://ncatlab.org/nlab/show/measure space
measure space"measure space"
Cmp measurable_space // 일단 바로아래section
1.9.1. complete measure space ¶
https://en.wikipedia.org/wiki/Complete_measure_space
"is a measure space in which every subset of every 널집합,null_set is measurable (having measure zero)."
https://ko.wikipedia.org/wiki/완비_측도_공간1.10. measurable space ¶
measurable space
measurable_space =,measurable_space =,measurable_space . measurable_space
가측공간?
measurable space
measurable_space
https://mathworld.wolfram.com/MeasurableSpace.html
https://en.wikipedia.org/wiki/Measurable_space
https://ko.wikipedia.org/wiki/가측_공간
https://encyclopediaofmath.org/wiki/Measurable_space
measurable_space =,measurable_space =,measurable_space . measurable_space
가측공간?
measurable spacemeasurable_spacehttps://mathworld.wolfram.com/MeasurableSpace.html
https://en.wikipedia.org/wiki/Measurable_space
https://ko.wikipedia.org/wiki/가측_공간
https://encyclopediaofmath.org/wiki/Measurable_space
Also: Borel space // Also: Borel_space
https://ncatlab.org/nlab/show/measurable spacemeasurability ? measurability measurability measurability 
measurability 
measurability measurability
measurable space
measurable space
"measurable space"
measurability measurability measurability measurability measurability measurability
measurable spacemeasurable space"measurable space"
Cmp measure_space // 일단 바로위section
REL 가측집합,measurable_set { https://encyclopediaofmath.org/wiki/Measurable_set
rel
measurable subset measurable_subset https://ncatlab.org/nlab/show/measurable subset "measurable subset" }
REL 가측집합,measurable_set { https://encyclopediaofmath.org/wiki/Measurable_set
rel
measurable subset measurable_subset https://ncatlab.org/nlab/show/measurable subset "measurable subset" }
1.13. counting measure ¶
1.16. Caratheodory measure ¶
Caratheodory measure
Carathéodory measure
Carathéodory measure
Caratheodory_measure =,Caratheodory_measure =,Caratheodory_measure . Caratheodory_measure
{
https://mathworld.wolfram.com/CaratheodoryMeasure.html
{
https://mathworld.wolfram.com/CaratheodoryMeasure.html
}
1.17. 셈 측도, counting measure ¶
counting measure
counting_measure
counting_measure
https://namu.wiki/w/셈 측도
{
dimensionless. (tmp curr.
차원,dimension?action=highlight&value=dimensionless#s-4 / linked to 
무차원량 )
}
{
dimensionless. (tmp curr.
차원,dimension?action=highlight&value=dimensionless#s-4 / linked to 무차원량 )}
2. Topics: / REL / MKL ¶
양,quantity
길이,length
크기,size
측정,measurement
support =,support =,support . support
{
수학 서포트 support
수학 서포트 support
길이,length
크기,size
측정,measurement
support =,support =,support . support
{
수학 서포트 support수학 서포트 supportSupport_(measure_theory)= https://en.wikipedia.org/wiki/Support_(measure_theory)
= https://en.wikipedia.org/wiki/Support_(measure_theory)
}
부분집합,subset
널집합,null_set
null_set null_setcontent =,content =,content . content
{
content
다음세개 via content as of 2024-07-05
{
content 내용, 용량
content of a polynomial 다항식의 내용
inner content 내확도
}
content as of 2024-07-05{
content 내용, 용량
content of a polynomial 다항식의 내용
inner content 내확도
}
}// content measure theory .... content measure theory content measure theory
valuation =,valuation =,valuation . valuation
{
valuation
content measure theory content measure theoryvaluation =,valuation =,valuation . valuation
{
valuation
생각해보면 measure와 단어 뜻 자체가 비슷하다....
다음 7개에서 evaluation 빼고 3개 - via valuation as of 2024-07-05
{
valuation 값매김, 부치
Archimedian valuation 아르키메데스 부치
Euclidean valuation 유클리드 영역함수
}
valuation as of 2024-07-05{
valuation 값매김, 부치
Archimedian valuation 아르키메데스 부치
Euclidean valuation 유클리드 영역함수
}
https://ncatlab.org/nlab/show/sigma-continuous valuation
https://ncatlab.org/nlab/show/valuation (measure theory)
https://ncatlab.org/nlab/show/valuation (measure theory)
----
- [1] 뻔히 이산측도 via discrete measure