闭区域

首先给出了判别f（x）的极小值点x0∈D是否为f（x）的最优解的充分必要条件（D为Rn中的闭区域）；

A necessary and sufficient condition is presented first to decide whether a minimal point x0 of f ( x ) is a global optimal solution of ( x ), where D is a closed region in Rn .

利用强椭圆型方程组解必定唯一的结论，证明了某些二阶常系数线性椭圆型方程组在有界闭区域内Dirichlet问题解的唯一性。

By use of the result that the strongly elliptical equations has the uniqueness of the solution , it is proved that the uniqueness of the solution about the Dirichlet problem for some linear elliptical partial difference equations of two order in a bounded domain .

通过三个定理阐述一类震荡间断点在有界闭区域上是可积的。

The article uses three theorems to expatiate that an integral on vibratory discontinuous point is integrabel in a limitary area .

在系统初始状态未知，但属于一个有界闭区域时，提出了系统的区域可保性能的概念。

Since initial state is usually unknown , it is assumed that initial state is belonged to the bounded closed domain , a notion of the domain guaranteed cost for the systems is proposed .

Banach空间算子闭值域区域的正则划分

T-regular points of Closed-range of Banach Space Operators

本文讨论空间算子闭值域区域和-正则点和-奇异点，引入算子的约化最小模函数，用它刻划算子闭值域区域，得到与的若干结构表示定理。

We discuss the set of regular points and singular points in closed-range of Banach space operator T with the reduced minimum modulus function .

然后，利用二值形态学中的闭运算算子以及区域填充算子对二值分割图进行平滑处理。

Then the close operator and the fill operator in morphologic is used to smooth the segmentation image .

然后通过使用数学形态学开、闭运算及连通区域的对象移除等以增强目标区域，抑制图像背景对目标区域的干扰。

After that , in order to inhibit interference act on the object region of the image which is often affected by image background , choosing opening operation , closing operation and object removal of connected domain about mathematical morphology to enhance the character of the image .