邻域空间

A topological space is an minimal CH space if and only if each open CH-filterbase with only one adherent point converges to this point.

4拓扑空间 X是极小 CH空间，当且仅当对任意的 x∈X和任意开 CH滤基μ，若{ x}=∩U∈μU=∩U∈μcl U，则μ是 x的一个邻域基。

The property of bounded space Green's function in the neighbor domain of the singular point is studied.

研究了有界空间格林函数在奇异点邻域内的性质。

And the matching point pairs are obtained by comparing the Euclidean distance of the Zernike moments,which are computed around a circular neighborhood centered at the feature point.Then the transform parameters are computed through the correct mapping model.Finally,the weighed average method is used to achieve image mosaic.

该算法利用曲率尺度空间角点检测法提取特征点，通过比较各特征点圆形邻域Zernike矩的欧式距离得到匹配点对，然后利用正确的映射模型计算出变换参数，最后采用加权平均法得到图像的拼接结果。

Firstly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of single input-output equation in R n in the similar economical backgrounds in present articles and then gain the solution's continuity by exterior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

就R n空间中消耗为单调单值型的投入产出方程，在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，然后利用外部逼近法结合方程截断技巧证明了投入产出方程的解的连续性，最后给出了相对应于存在性和连续性的经济解释。

Secondly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of set-valued input-output equation in R n in the similar economical backgrounds in present articles too and then gain the solution's continuity by interior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

对于R n空间中消耗为单调集值型的投入产出方程，也在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，接着利用内部逼近法结合方程截断技巧对投入产出方程的解的连续性给予了证明，然后顺便简单的介绍了运用外部逼近法来得到方程的解的连续性的思路，最后也给出了相对应于存在性和连续性的经济意义。

In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.

在巴拿赫空间理论中，Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一，分隔性定理是Hahn-Banach定理的重要应用，本文利用"超平面"的方法，改进了一个分隔性定理的证明；另外，本文利用邻域的"平移"方法，给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。

While the above two papers mainly focus on how to model the spatial relations of variables on a field, IGM targets at learning the distribution of data variables that are independently and identically distributed.

上面这两类模型研究的范畴属于空间统计邻域，而IGM是一种用来学习随机向量分布的模型。

A topological spaces X is minimal CH if and only if for each x∈X and each open CH-filterbase μ,if {x}=∩U∈μU=∩U∈μclU, then μ is a neighborhood base of x.

4拓扑空间 X是极小 CH空间，当且仅当对任意的 x∈X和任意开 CH滤基μ，若{ x}=∩U∈μU=∩U∈μcl U，则μ是 x的一个邻域基。

In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.

在巴拿赫空间理论中，Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一，分隔性定理是Hahn-Banach定理的重要应用，本文利用&超平面&的方法，改进了一个分隔性定理的证明；另外，本文利用邻域的&平移&方法，给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。

Due to the nonlinear and nonstationary of river water turbidity, a novel intelligent forecasting model based on phase space reconstruction and RBF neural network is proposed. Firstly, the embedding dimension is chosen by using the false nearest neighbor method. And the time delay can be obtained with the mutual information. The phase space is reconstructed from the time series with the embedding dimension and the time delay got. The reconstructed time array is used as the input signal of RBF neural network.

首先将现场取得的数据进行预处理，建立所需时间序列样本；再利用虚假邻域法确定最小嵌入维数，根据互信息法计算确定浊度时间序列的最佳延迟时间；接着根据取得的嵌入维数和延迟时间对江水浊度时间序列数据进行相空间重构；利用重构相空间后的时间阵列，作为建立预报模型所需的浊度样本阵列，用RBF神经网络建立预报模型；利用该模型对江水浊度进行预报。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。