查询词典 forward difference 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。

To further investigate the influence of the Internet on the students, a further research is conducted by breaking the students into three groups -frequent Internet users, occasional Internet users and non-internet users. The result indicates that the self-harmony of frequent Internet users shows a sharp difference in terms of school and grade, the self and the unharmony of show a sharp difference in terms of school, grade and sex, and that the self-esteem and the two dimension - the flexibility and rigidity of self-harmony show no difference in terms of school, age and sex; the self-harmony and all dimensions of occasional Internet users show no significant difference, the self-esteem of occasional Internet users show no significant difference in terms of school and grade but show significant difference in terms of sex; the self-harmony and all dimensions of the non-Internet users show no significant difference, the self-esteem of the non-Internet users show no significant difference in terms of grade and sex, and the self-esteem of the non-Internet users show significant difference in terms of school.

为了进一步研究网络对学生的影响，又将学生分为经常上网、偶尔上网、不上网三类分别来研究：经常上网学生自我和谐在学校、年级都存在极显著差异，自我与经验的不和谐在学校、年级、性别存在极显著差异，自尊和自我和谐的灵活性和刻板性两个维度在学校、年龄、性别都没有差异；偶尔上网学生，自我和谐及各维度都不存在显著性差异，自尊在学校和年级不存在显著性差异，在性别上有显著性差异；不上网学生自我和谐及各维度都不存在显著性差异，自尊在年级和性别不存在显著性差异，自尊在学校上有显著性差异。

Author, secondly, starts from the approximate expandness of square root operator, perform mathematical calculations for finite difference operator in frequency-space domain, Fourier finite difference operator in mixing domain(frequency-space and frequency-wavenumber domain) and general screen operator in mixing domain, compare and discuss their precision of their wavefield, adaptability for lateral velocity variations, computation efficiency and stability.

第二，从平方根算子的近似展开出发对频率—空间域的有限差分算子、混合域(频率—空间域；频率—波数域)的Fourier有限差分算子、混合域的广义屏算子进行了推导并对其波场描述精度、对横向变速的适应性、计算效率和稳定性进行了比较与评述。

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。

Based on some related concepts of shock disturbed system, weakening buffer operators with variable weights and strengthening ones with variable weights are established respectively. This subject defines buffer operator regulation degree which reflects effect strength to original sequence caused by buffer operator, and also studie the relationship between buffer operator regulation degree and variable weight. Consequently, the monotonicity nonvariable axim of buffer operator is put forward.

基于冲击扰动系统的相关概念，提出了变权缓冲算子的概念，分别构造了变权弱化缓冲算子和变权强化缓冲算子，定义了缓冲算子调节度来反映缓冲算子对原始序列的作用强度，并研究了缓冲算子调节度与可变权重之间的关系，在此基础上提出了缓冲算子的单调性不变公理。

In this paper, based on an optimum difference operator for spatial differential given by Holberg, an optimum difference method of modeling crosswell elastic wavefield is put forward, which adopts the staggered-grid technique and calculates the wavefield at different grid points. When the half length of optimum difference operator is taken as four to six points, the required number of grid points per wavelength equals to three, crosshole elastic wavefield numerical modeling can attain satisfied accuracy.

本文以Holberg提出的一种空间微分的最佳差分算子为基础，采用交错网格技术，提出了一种模拟井间弹性波场的最佳差分法，该方法能在大空间网格点上得到精确的波场值，当最佳差分算子的半长度取4～6个点，每个波长只采3个样点时，井间弹性波场的模拟就可以得到满意的精度，其计算速度比常规有限差分法至少快一个数量级。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。