离散地

Because the method employs the technique along the characteristics to discretize the convective term and it is unnecessary to determine the boundary condition of the vortex ahead of time, it is very convenient to solve the Navier-Stokes equation and natural convection problem.

该方法对对流项仍采用沿特征线离散技术，并且不需要事先确定漩涡度的边界条件，从而可以方便地求解流函数-漩涡度形式的Navier-Stokes方程及自然对流问题。

Estimation of the normal and curvature on meshes with good precision and rapidness is the foundation of many applications, such as characteristic detecting, partitioning, simplification, smoothing, distortion, reconstruction on mesh.

精确、快速地计算网格曲面的法向量和曲率等微分量是众多离散曲面应用的重要基础，对网格曲面的特征提取、网格分割、网格简化、网格光顺、网格变形、网格重建等处理过程均有重要的作用。

Combined the NI PXI-5124 digitizer with the principle of digital quartered demodulation,the software demodulates the dispersed signal efficiently while showing the results perspicuously.

结合NIPXI-5124数据采集卡及数字正交解调的基本原理，该软件可实现对离散化的数字调制信号进行解调分析，同时直观地显示处理结果。

Fourth, we have developed a new hybrid control strategy by combining state feedback and parameter perturbation for controlling period-doubling bifurcations and chaos in discrete nonlinear dynamical systems.

4提出了参数调节和状态反馈的混合控制新方法，有效地实现了离散非线性系统的倍周期分岔控制和混沌控制。

During the simulation, surface current from primary electrode is computed. Taking rectangular triangle as the mesh unit, the integral formula of surface current can be simplified to a product of a difference expression and the surface area. So the computation complexity of FEM will be decreased and the time-cost will be cut down greatly.

在模拟过程中，需要计算主电极表面电流，通过选用直角三角形作为离散单元，将表面电流的二重积分表达式简化为一个差商表达式与主电极表面积的乘积，极大地降低了有限元分析的复杂度，减少了计算时间。

Through the new research methods, this thesis has made the following contributions in this field: 1. For the first time the curvature radii and relative angles of a planar continuous curve at discrete points are chosen as local parameters to represent the curve, which reflect clearly the local geometrical characteristics of the curve and are easy to be dealt with.

借助于新的研究方法，本文在这一领域作出如下贡献：（1）首次提出用曲线上离散点处曲率半径和相对转角作为局部参数表示平面连续曲线，直观地反映曲线各个局部的几何特征，且便于曲线的修改和变换，并通过机构运动分析，快速求出机构轨迹的这两个局部参数。

By this way, the extend and degree of the masses were illustrated intuitionally and it was made out that the main destroying form was toppling rockfall .

在分析砂、泥岩特性的基础上，通过离散元数值分析，研究了万县长江库岸危岩在不同工况下的稳定性，直观地揭示出危岩在不同工况下的破坏程度，得出危岩的主要破坏形式为倾倒式崩塌，并总结出危岩的大规模破坏发生在蓄水回水期，为三峡危岩治理的对策及时间提供了有价值的参考。

They all have simular form and can be coupled with the linear simultaneous equations.

八个模型具有基本统一的形式，可以简单地耦合到离散方程组中去。

To protect copyrights of digital products effectively, proposed a new scheme of digital image watermarking based on the combination of discrete wavelet transformation and singular value decomposition.

为了有效地保护数字作品的版权，提出了一种以离散小波多级分解与奇异值分解相结合的数字水印新算法。

In chapter 2, we firstly introduce the model of a discrete-time neural network with generalized input-output function. The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和该模型在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。