解域

The fundamental and higher-order harmonic ultrasound fields of a zeroth-order Bessel ultrasound field and focused Gaussian field in absorbing medium are computed and simulated by solving the KZK equation using a frequency domain finite difference method.

通过频域有限差分方法求解KZK方程，对吸收媒质中的零阶Bessel超声场、Gauss聚焦超声场进行计算，得到基波和高次谐波声场的数值解和仿真图，计算仿真结果验证了上述的理论结论。

Let G be the domain whose inverse image is the cross section of u definedin (H1) where the mapping is affine,g and ψ are smooth functions and g＞0,thenthere is a unique smooth convex-monotone function which satisfies the followingproblem 〓Furthermore,if 〓 where C is a constant,ψis an affine function,〓 is astrictly interior sub-domain of G in the sense of"parabolic distance",then

若G为按（H1）中定义的u的截影经仿射变换而得的区域，g和〓为光滑函数且〓，则〓存在惟一的凸单调光滑解。若〓常数，〓仿射函数，〓为G在"抛物距离"下的严格内子域，则

To evaluate the precision of solutions obtained by modal series method, normal form method and linear modal method, an error index describing the approximation to the nonlinear simulation is defined and then applied to the same system.

为比较模态级数法、正规形法和线性模式分析法所得解对时域仿真解的逼近程度，定义一误差指标，并在4机2区系统中做相关分析。

Then with some special parameters selected,the equation of motion in the phase plane is obtained.

通过求解运动方程发现系统在时域的周期解为包含一类椭圆函数的反函数解析解。

The system chart of designing a weather radar with SZ phase code is listed, the principal and coding series of this kind of SZ phase code is illustrated.

首先给出了该方法应用到某气象雷达上所采用的系统框图；然后介绍了SZ相位编码的原理和编码序列以及基于这种编码给出了气象雷达解距离模糊算法的详细流程，并着重介绍了频谱重构的频域处理方法；最后给出了用该方法同时解出一次和二次气象回波的Matlab仿真，结果表明该方法对平均速度的估算较为准确。

The uniqueness of solution of field point, inside a convex region due to singular source with kernel function decreasing with distance increasing, outside-region-distribution such that the boundary condition expressed by the response of the source is satisfied, is proved by using the condition of kernel function decreasing with distance increasing and an integral inequality.

应用奇源解的核函数沿距离递减的条件和积分不等式，可证这类奇源在凸域外分布只要满足以它产生的响应来表达的边界条件时，所引起相应的域内场点解是唯一的。

The algorithm directly imports the core into each solution constructed by ants and reduces the problem scale. The new state transition rule and pheromone updating rule reflects the orderless characteristic among attributes, and benefits the search in the neighborhood of good solutions.

该算法将属性核直接引入到蚂蚁构造的每一个解中，降低了问题规模，新定义的状态转移规则和信息素更新规则体现了约简中属性间的无序性特点，有利于在优解邻域内搜索。

In order to obtain the global best result, the starting point is chosen at random and rotatively in the feasible region, and the optimization toolbox of MATLAB is employed. Then the minimum is searched again and by means of some rotations the global heat result is achieved.

为获得全局最优解，提出了在可行域内随机循环给定初始点，采用MATLAB工具箱优化计算，在优化结果中二次搜索极小值的方法，经过少量循环即可求得全局最优解。

The simulations in this dissertation, however, strictly mimic the experiments. With the research methods similar to the experiments of glycolytic extracts, the experimental phenomenon ? temporal target waves are first reproduced in numerical simulation, and irregular continuous target waves and spatiotemporal turbulences are observed by elevating the magnitude of the local perturbation which pioneers new directions for the experimental research of glycolytic reactions.

而本文在模拟中严格仿照实验条件，采用酵母抽提物实验中对酵解波的研究方法，第一次在数值模拟中重现了实验现象——暂态靶形波，并通过增加局域扰动的幅度观察到了非规则的连续靶形波和时空湍流，为酵解反应的实验研究开辟了新的方向。

Temporal target waves are first reproduced in numerical simulation, and irregular continuous target waves and spatiotemporal turbulences are observed by elevating the magnitude of the local perturbation which pioneers new directions for the experimental research of glycolytic reactions.

而本文在模拟中严格仿照实验条件，采用酵母抽提物实验中对酵解波的研究方法，第一次在数值模拟中重现了实验现象——暂态靶形波，并通过增加局域扰动的幅度观察到了非规则的连续靶形波和时空湍流，为酵解。。。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失