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1)  bounded closed set
有界闭集
2)  bounded closed convex set
有界闭凸集
1.
The deflation image of K set function ( K<1 ) of the mapping in itself of the bounded closed convex set, must have the invariable points.
有界闭凸集到自身的函数K<1集压缩映象一定有不动点。
3)  bounded closed convex set-valued stochastic processes
有界闭凸集值随机过程
1.
In order to study the derivative and integral theories of the set-valued stochastic processes,the mean square derivative of the bounded closed convex set-valued stochastic processes is presented firstly by means of the weak convergence and open notion of sets.
为了研究集值随机过程的微积分理论 ,利用有界闭凸集合弱收敛的性质和集合“开”的概念 ,给出了有界闭凸集值随机过程的均方导数的定义 ,建立了均方导数的若干性质 ,并讨论了集值随机过程均方可导与均方连续的关系。
2.
In order to study the integral and differential theories of the set-valued stochastic processes,the Riemann integral of the bounded closed convex set-valued stochastic processes is firstly given.
为研究集值随机过程的微积分理论 ,首先利用支撑函数定义了二阶矩有界闭凸集值随机过程的均方 Riemann积分 ,其次利用支撑函数以及均方收敛的性质证明了二阶矩有界闭凸集值随机过程的均方 Rie-mann积分的线性性、同数学期望的可交换性等性
4)  closed unbounded set
无界闭集
1.
In this paper,we introduce concepts of closed unbounded sets and stationary sets,and investigate their poperties.
本文引进了~(
5)  bounded closure
有界闭包
6)  Bounded closed domain
有界闭区域
1.
In this paper,using the property of continuous functions of two variables on bounded closed domains in mathematical analysis,we prove that for f(z)=zn+b1zn-1+.
利用数学分析中在有界闭区域上二元连续函数的性质,首先证明f(z)=z~n+b_1z~(n-1)+…+b_nz_0∈C,使然后用反证法证明z_0就是一根。
补充资料:闭集


闭集
dosed set

闭集ld吹d肥t买姗.叮l说M“馏ec佃],拓扑空间中的 含有它的所有极限点〔见集合的极限点(】imjtpolnt of a set)、的集合.于是,闭集的补集的所有点都是内点,所以闭集可定义为开集的补集.闭集的概念是把拓扑空间定义为具有满足下列公理的特定集合系统〔所谓闭集)的作空集X的基础:X本身和空集是闭集;任意个闭集的交是闭集;有限个闭集的并是闭集.
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