查询词典 completely continuous operator

In 1985,Guo Dajun proved that an increasing and α concave operator is of cone contraction,however,is an increasing and α convex operator of cone expansion ?

5年 ，郭大钧证明了增的α-凹算子是锥压缩的，那么增的α-凸算子是否是锥拉伸的呢？

Different from the former study,the value region of projective operator in the neural network which they study was a general closed convex subset of n demensional Euclidean space and it wasn't a compact convex set in general,that is,the value region of projective operator was probably unbounded.

与以前研究投影算子的值域一般是n维欧氏空间中的紧凸子集不同，而是n维欧氏空间中未必有界的闭凸子集，同时目标函数也是一般的连续可微函数，未必为凸函数。

Different from the former study, the value region of projective operator in the neural network which they study was a general dosed convex subset of n demensional Euclidean space and it wasn＇ t a compact convex set in general, that is, the value region of projective operator was probably unbounded.

与以前研究投影算子的值域一般是n维欧氏空间中的紧凸子集不同，而是n维欧氏空间中未必有界的闭凸子集，同时目标函数也是一般的连续可微函数，未必为凸函数。

By the perturbation theorem of cosine operator functions,one perturbation result for C-cosine operator functions is obtained.

而对于扰动问题的研究向来是十分重要的，因为这类研究是获得丰富理论的基本途径之一。

In this paper we introduce some new definitions, they are the generalizations of those concepts in Lie theory, and we discuss initially the elementary properties of operator Lie algebras. Finally, the famous Jordan-Holder theorem and the uniqueness of decomposition theorem of operator Lie algebras are proved.

在这篇文章里，我们将李代数理论中的诸多概念加以推广，并初步地探讨了算子李代数的性质，最后还给出了算子李代数的一个分解定理，其唯一性也得到了证明。

A hydraulic system is diagnosed by a fuzzy logic diagnosis method and to overcome the defect of fuzzy logic operators were defined before a new fuzzy logic operator fuzzy aggravating and synthesizing operator.

应用模糊逻辑诊断方法对液压系统的故障进行了诊断，同时针对传统模糊逻辑算子的缺陷，提出一个新的模糊逻辑算子——模糊加权综合算子。

This paper applies self-adapting operator and local degeneracy operator to optimization layout of water pollution control system of Fujiang river in Mianyang city against problem mentioned above.

针对上述问题，在对涪江绵阳段水环境概况进行分析和评价的基础上，本文引入了自适应算子和局部退化算子，对涪江绵阳城区段的污水控制系统进行了优化布局，并与传统规划方法——试探分解法的规划结果进行了比较。

In image processing, method as follows will be introduced in this paper: a method combining image threshold iterative segmentation with threshold interpolation, edge detection operator Sobel and LoG, edge linking method using delation operator based on mathematical morphology, using boundary tracking and projection method in edge distill process. Through this method, measurement of wheelset will be met precision demand.

本文阐明了图像的分通道自动采集过程，以及对采集到的原始图像进行预处理过程，达到图像去噪声的目标，本课题采用了阈值分割中迭代阈值和阈值插值相结合的方法，Sobel算子、LoG算子边缘检测算法，基于数学形态学的膨胀运算子进行边缘断点连接以及目标提取中的投影法和边缘跟踪方法，使得提取轮对图像边缘达到测量精度的要求。

A quantified logic of clarity and vagueness is developed, based on the pattern of the G delian system T of modal logic, a clarity operator replacing the necessity operator.

基于哥德尔模式的模态逻辑系统T，本文提出了一种关于清晰性和模糊性的量化逻辑，其中利用清晰性算子来代替必然性算子。

In this paper, a mathematical description of mutation operator and a concept of mutation function for the study of evolutionary programming and evolution strategies are proposed, and several methods and examples of constructing mutation operator with uniformly distributed random variables are presented.

进化算法是研究全局优化算法中最重要的随机算法之一，本文给出了进化规划和进化策略的变异算子的数学描述，并提出变异函数的概念，在此基础上，给出了用均匀分布的随机数构造变异算子的几种方法和若干例子。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。