측도 공간
측도공간
measure space
측도공간
measure space
![[https]](/wiki/imgs/https.png)
//from ency. of math
{
측도공간은 triple $\displaystyle (X,\mathcal{A},\mu)$
위의 표기법을 $\displaystyle (X,\mu)$ 로 줄여서 $\displaystyle \mu$ is a measure on $\displaystyle X$ 라 하거나, $\displaystyle X$ 로 줄이기도 함.
}
{
측도공간은 triple $\displaystyle (X,\mathcal{A},\mu)$
$\displaystyle X$ : a 집합,set
$\displaystyle \mathcal{A}$ : a 시그마대수,sigma-algebra of its 부분집합,subsets
$\displaystyle \mu$ : $\displaystyle \mathcal{A}\to[0,+\infty]$ a 측도,measure
그래서, 측도공간은 가측공간,measurable_space 하나와 측도,measure 하나로 구성.$\displaystyle \mathcal{A}$ : a 시그마대수,sigma-algebra of its 부분집합,subsets
$\displaystyle \mu$ : $\displaystyle \mathcal{A}\to[0,+\infty]$ a 측도,measure
위의 표기법을 $\displaystyle (X,\mu)$ 로 줄여서 $\displaystyle \mu$ is a measure on $\displaystyle X$ 라 하거나, $\displaystyle X$ 로 줄이기도 함.
}
전체측도가 1이면 확률공간,probability_space? chk (via that page)
https://encyclopediaofmath.org/wiki/Measure_space
"...Thus, a measure space consists of a measurable space and a measure."
i.e. 가측공간,measurable_space과 측도,measure로 구성.
https://everything2.com/title/measure spacei.e. 가측공간,measurable_space과 측도,measure로 구성.
Page name via 
측도공간 = https://www.kms.or.kr/mathdict/list.html?key=kname&keyword=측도공간
{ 2023-11-14 현재 저기 9개:
complete measure space 완비측도공간 // 완비측도공간,complete_measure_space =완비측도공간,complete_measure_space =,complete_measure_space 완비측도공간 complete_measure_space
{
complete measure space
complete measure space
측도공간 = https://www.kms.or.kr/mathdict/list.html?key=kname&keyword=측도공간{ 2023-11-14 현재 저기 9개:
complete measure space 완비측도공간 // 완비측도공간,complete_measure_space =완비측도공간,complete_measure_space =,complete_measure_space 완비측도공간 complete_measure_space
{
complete measure space
complete measure space
"complete measure space"
complete measure space
complete measure space
definition of complete measure space
complete measure spacecomplete measure space definition of complete measure space} // complete measure space = 완비측도공간
finite measure space 유한측도공간
measure space 측도공간 // 측도공간,measure_space
probability measure space 확률측도공간 // 확률측도공간,probability_measure_space w ...확률측도공간
quasi measure space 준측도공간
space of generalized measures 일반화된 측도공간
standard measure space 표준측도공간 //표준측도공간
Wiener measure space 위너 측도공간 //Wiener measure space
Yeh-Wiener measure space 예-위너 측도공간 //Yeh-Wiener measure space
}
finite measure space 유한측도공간
measure space 측도공간 // 측도공간,measure_space
probability measure space 확률측도공간 // 확률측도공간,probability_measure_space w ...
확률측도공간quasi measure space 준측도공간
space of generalized measures 일반화된 측도공간
standard measure space 표준측도공간 //
표준측도공간Wiener measure space 위너 측도공간 //
Wiener measure spaceYeh-Wiener measure space 예-위너 측도공간 //
Yeh-Wiener measure space}