查询词典 adjoint operator

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。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

Chapter 3 studies the compactness of product operators of a composition operator C〓 with the adjoint C〓 of another composition operator C〓 on weighted Bergman spaces A〓. We give some conditions in terms of angular derivatives of the inducing maps ψ and ψ for the operator C〓C〓 or C〓C〓 to be compact.

第三章研究了加权Bergman空间上的一个复合算子C〓与另一个复合算子C〓的共轭算子C〓的乘积C〓C〓与C〓C〓的紧性问题，我们用φ与ψ在〓D上的角导数的某种关系给出了C〓C〓与C〓C〓在A〓上为紧算子的一些判据。

We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition , substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

The notion of the adjoint operator of amodule homomorph ism defined on a densely submodule of a comp lete random inner p roduct module is introduced and discussed, in particular the closedness of adjoint operators is p roved.

摘 要 对定义在完备随机内积模的稠子模上的模同态引入了共轭算子的概念并讨论其基本性质，尤其证明了共轭算子的闭性。

The central problem is whether thecommutatoris self-adjoint or not since every observable in quantum mechanics isrepresented by a self-adjoint operator.

对于该不等式的一个中心问题是：交换子i不是自共轭的，也就是说，不是量子力学中的一个观测量。

While touchscreen operator terminals remain the fastest growing and most publicized sector of the Chinese operator terminal market, non-touchscreen terminals, including text displays, text operator terminals, and graphic operator terminals, are still displaying a steady growth rate in China, according to a new market report released by IMS research.

根据IMS调查公司发布的市场报告，触摸屏操作终端在中国的操作终端市场保持着最快速的增长，并成为最引人注目的部门，但与此同时非触摸操作终端，包括字符显示、字符操作终端和图形操作终端，也显示了稳定的增长速率。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。