查询词典 unitarily equivalent operator

In this paper, we first give an example that the bilateral weighted shift operator in c_0space is hypercyclic operator and first solve the existence problem of hypercyclic operator in c_0or c_0(Z space . And then we investigate the property of weighted shift operator in c_0 space and an important property of the hypercyclic vector of weighted shift operator in c_0 space and c_0 space. At last we give the concept of weak hypercyclic operator and weak hypercyclic vector , and give the equivalence between the weak hypercyclicity and the hypercyclicity in l~1 space.

本文首先给出了c_0空间上的一个双边左加权移位算子是超循环算子的一个例子，首次解决了c_0 或c_0(Z 空间中超循环算子的存在性问题；接下来分别研究了c_0和c_0空间上的加权移位算子的性质以及c_0和c_0空间上的加权移位算子的超循环向量的一个重要性质，最后提出了弱超循环算子和弱超循环向量的概念，并且给出了I~1空间中弱超循环性与超循环性的等价性。

VC prepared by an image processing procedures : it can achieve image edge detection and contour extraction, Edge Detection Operator : Robert operator, bobel operator, prewitt operator, kirsch operator, gauss - laplace operator. Hough line detection, contour extraction, seed testing and contour tracking.

用VC编写的一个图像处理的程序：它可以实现图像的边缘检测和轮廓提取，边缘检测算子包括：Robert算子、bobel算子、prewitt算子、kirsch算子、gauss－laplace算子。hough直线检测、轮廓提取、种子检测和轮廓跟踪。

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

The generalized ordered weighted averaging operator is ob tamed by combining the ordered weighted averaging operator and the generalized mean operator. Based on the GOWA operator, the generalized uncertain ordered weighted averaging operator is proposed.

该算子将有序加权平均算子和广义平均算子相结合而成的广义有序加权平均算子推广到不确定的环境中，提出了一个广义不确定有序加权平均算于。

The instrument software has the function of demonstration of basic knowledge of Digital Image Processing, i.e., it performs the functions of real-time collection and images saving, color change (brightness, binarization, RGB separation etc.), geometrical transform, edge detection (Robert arithmetic operator, Sobel arithmetic operator, Prewitt arithmetic operator, LOG arithmetic operator, Canny arithmetic operator etc.), gray-scale image enhancement (histogram equalization, averaging filtering, median filtering), and binary mathematical morphology management (erosion, dilation, opening, closing, objects marking, Euler number calculation).

该测试仪的软件部分包含数字图像处理课程所涉及的一些基础知识的演示，具体包括图像的实时采集与保存、颜色变换(灰度化、二值化、R、G、B颜色分量的分离等)、几何变换、边缘检测(Robert、Sobel、Prewitt、LOG、Canny)、灰度图像增强(直方图均衡化、均值滤波、中值滤波等)、二值图像操作(腐蚀、膨胀、开启、闭合、对象标注、欧拉数计算)等功能。

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

The actinic radiation-curable and cationically polymerizable organic substance is at least one glycidylether of a polyhydric aliphatic, alicyclic or aromatic alcohol having at least three epoxy groups with epoxy equivalent weight between 90 and 800 grams per equivalent, at least one solid or liquid alicyclic epoxide with an epoxy equivalent weight between 90 and 330 grams per equivalent having at least two epoxy groups and monomer purity greater than about 90 % by weight, or at least a solid or liquid epoxycresol novolac or epoxyphenol novolac having epoxy equivalent weight between 130 and 350, or mixtures thereof.

可光化辐射固化并可阳离子聚合的有机物质为至少一种带有至少3个环氧基团环氧当量为90―800克每当量的脂族、脂环族或芳族多元醇的缩水甘油醚，至少一种环氧当量为80―330克每当量带有至少两个环氧基团且单体纯度大于约90wt％的固态或液态脂环环氧化物，或至少一种环氧当量为130―350的固态或液态环氧甲酚线性酚醛清漆或环氧苯酚线性酚醛清漆，或其混合物。

Three classes of equivalent system methods which are used in finding high order flight control systems low order equivalent are studied. The first class methods are the classical frequency domain-based equivalent system methods which recommended by MIL-F-8785C and MIL-STD-1797A. Five longitudinal low order equivalent systems and fourteen lateral ones are discussed in detail and some pieces of advice are given. Also conduct an investigation in the time domain-based equivalent system methods .

研究了求取高增稳飞机的低阶等效系统的几种方法：研究了经典的频域等效系统方法，针对纵向5种、横向14种构型的低阶等效系统进行了拟配实践，并提出一些有益的看法；以频域等效系统方法为基础，提出了时域等效系统新方法；以最小二乘辨识为基础，提出了两种纵向短周期低阶等效系统时域辨识方法(等效延迟时间τ_q参与或不参与)。

The examples show: It is not only scientific and rational approximately, but also as referenced calculational methods of threshold quanlity of increased or emendatory chemical substance in the "Identifecation of major hazard installations "(GB18218-2000) in the future, that appliance respective of TNT equivalent method, gasoline equivalent method, methane equivalent method, methl ethyl ketone peroxide equivalent method and hydrogen sulfide equivalent method for the rhrehold quanlity in the work site and store area of volatile substance, combustible liquid substance, combustible gaseous substance, active chemical substance and poisonous substance. At the same time, Comparing with the death radius method and evaluative method of combustible, volatile, poisonous mojor hazardinstalltions, hazard grading method of hazard degree grading in the chemical factory for the major hazard installations is simplerof operation and more practical of calcutating result, and have some significance on generalizer.

实例验证表明：TNT当量法、汽油当量法、甲烷当量法和过氧化甲乙酮当量法分别对爆炸性物质、易燃液体物质、易燃气体物质和活性化学物质的临界量确定，具有一定的科学性和合理性，可作为《重大危险源辨识》(GB18218-2000)中临界量数值修订和危险物质扩充时进行临界量确定的参考计算方法，同时，化工厂危险程度的重大危险源分级法与易燃、易爆和有毒重大危险源评价法和死亡半径法相比，评估过程简单易行，分级结果符合实际，具有较强的可操作性和一定的推广意义。

In the 2A1 distorted trigonal bipyramid structure ,the single non equivalent Ga atom has the population of 4s 4p ,while the two equivalent Ga atoms have the population of 4s 4p .this compares with a Ga population of 4s 4p in the undistorted D3h structure ,hence the jahn-teller distortion causes depletion of the charge density on the 4s orbital of the non-equivalent Ga atom, and enhancement of charge density on the 4s orbital for the two equivalent atoms .an opposite trend is observed for the 4p orbitals of these Ga atoms .the P population for the two equivalent atoms is 3s 3p .the populations of the other 2B1 state with the edge-capped tetrahedral structure are similar with the exception that all three Ga atoms have similar but not identical populations .

在2A1被变形的三角bipyramid结构，唯一非等效Ga原子有4s 4p的人口，而二个等效Ga原子在未变形的D3h结构有4s 4p 。this的人口和4s相比4p的Ga人口，因此jahn出纳畸变在non-equivalent Ga原子的4s轨道导致电荷密度的取尽，并且电荷密度的改进在4s轨道为二个等效原子。an在趋向对面对这些Ga原子4p轨道被观察。the人口为二个等效原子是另一个2B1状态3s 3p 。the人口与边缘加盖的四面体结构是相似的P 除之外全部三个Ga原子有相似，但不相同人口。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。