측도 공간
측도공간
measure space
측도공간
measure space
//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
{ 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 space
complete 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 ... 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
}