查询词典 operator domain

In chapter 4, an optimization Boolean operator of triangular mesh and the algorithm of adding point-swapping edge locally are put forward. With boundary traced by adding midpoint, the triangulation of 2D arbitrary domain is realized. The fast searching method which combines the index rectangle with compass based normal vector is designed to speed the triangulation algorithm.

第四章提出了一种优化的三角网格布尔运算和逐点加入—局部换边法，用中点加点法恢复边界，实现了二维任意域Delaunay三角化算法，用索引矩形和基于法矢的指南针法相结合的快速查询法有效地提高了三角化算法的速度，给出了二维任意域三角网格剖分的实例。

For instance, we look for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints.

例如，我们寻找一块领土，用各种各样的边界条件和各种各样的几何学限制条件减到最小或者使Laplace 操作者的规定的eigenvalue最大化。

R~n(n≥0) is a bounded domain with smooth boundaryΩ;ΔisLaplace operator; u and v, respectively, denote populaton densities of prey andpredator species, inhabit the domainΩ; a_i, b_i, c_i, D_i(i=1,2) are positive constants.the form of boundary parameter B is?

R~n(n≥0)是边界Ω充分光滑的有界区域；△为Laplace算子；u，v分别表示区域Ω中食饵和捕食者的密度，参数a_i，b_i，c_i，D_i(i=1，2)均为正常数，而边值参数B形式为这里的？

G. , operator description, L〓 stability and asymptotic stability, and periodic invariance of system, is described, asynchronous learning control is also divided into time-domain methods and frequency-domain ones, and corresponding formulations are strictly derived.

本文其次研究了主要由日本学者提出与发展的迭代与重复自学习控制，并在此基础上，提出了统一的异步自学习控制理论。

The seismic wave field simulation method for optimizing finite difference operator in frequency-space domain is discussed.

讨论了频率–空间域优化有限差分算子地震波场模拟方法。

For the sake of predicting the detection effect of differential operator s,the frequency features of common operators are analyzed from the view point of frequency domain.

为了预测微分算子边缘提取能达到的效果，从频域角度出发，分析了边缘检测中常用微分算子的频谱特性。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

For the different property between signal and noise in the intrinsic mode function domain, IMFs product detector is proposed. Under the condition of low SNR and the unknown distribution of noise, Simulation shows that IMFs product detector is superior to Teager energy operator detector.

利用信号和噪声在固有模态函数域中有不同的性态表现，提出了一种固有模态函数积检测器，在低信噪比和背景噪声分布未知条件下，IMF积检测器优于Teager能量算子检测器。

Firstly, in the frequency domain, differentiatial operator is decomposed into magnitude and phase operator, and the fractional order expressions of periodical signals, such as sine wave, cosine wave and complex exponent signal, are deduced.

首先，在频域中将微分算子分解为幅度算子和相们算子，导出正弦、余弦和复指数信号的分数阶微分表达式；然后考察矩形、三角形、梯形等常用周期信号的分数阶微分。

The implementation steps are that the seismic data is collected; the Fourier transform is made for the seismic data at a certain time window; a low pass filter operator of the time domain with an interception frequency of FE and a sampling rate of DT is calculated, which is taken as the equivalent N point smooth operator; FE and DT satisfy the equation that FE*DT is equal to X*DF*1.024; the estimate value of the amplitude spectrum of the seismic wavelet and the reverse wavelet are obtained, which are convoluted with the original seismic data; and the deconvolution seismic data of the time window is obtained.

实施步骤是采集地震数据，对某一时窗的地震数据做傅立叶变换，计算截止频率为FE和采样率为DT的时间域低通滤波算子作为等效N点平滑算子，FE与DT满足FE*DT＝X*DF*1.024，进而得到地震子波振幅谱估计值和反子波，再与原始地震数据褶积，得到该时窗的反褶积后地震数据。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。