收敛

An extended hyperbolic mild-slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. It became a complete wave model when integrated with corresponding physical and imaginary boundaries, and can be solved through the improved Crank-Nicholson or the well known Alternating Direction Implicit difference method, both of which can accelerate the convergent speed , expand limitation of the mathematical method and improve the quality of the solution.

本文基于综合考虑底摩阻、风能输入及非线性影响的推广双曲型缓坡方程，将其进行转换，产生一个演变方程，其复振幅控制方程为抛物线性，并采用ADI差分格式、改进的Crank-Nicholson格式及相应的物理和虚拟边界条件进行求解，以提高数值模拟的适用性、数值计算的稳定性、收敛速度及精度。

The numerical ex-periment has shown that the number of iterations depends significantly on the positiveparameterα,β. But, in general, it is di?cult to choose a proper parameterα,β. Thuswe propose new self-adaptive alternating direction method which adjusts the scale pa-rameter automatically per iteration based on the message of the iterates. We have provedthe convergence of the method under mild assumptions.Finally, we present some numerical results.

对于我们提出的新交替方向法，数值实验表明，迭代的步数与时间与所取的参数α，β有关，然而我们很难去选择一个合适的参数α，β，因此我们提出新自适应交替方向法，对其中的参数α，β进行自适应调整，这种自适应算法根据每步迭代信息自动地调整参数α，β，并证明了算法的收敛性。

To variational inequalities with separate structures, the thesis presents a descend method based on the alternating directions method, and some numerical results demonstrate that the new method is effective in practice.

对于结构可分的变分不等式，本文在交替方向法的基础上提出了一种下降方法，并给出了相应的算法收敛性证明与数值试验结果。

Paper studies the practical stability of electricity market models by tools, for example, the appropriate structure Lyapunov functions, Cauchy matrix, the matrix measure, constant variation. Judging practical stability sufficient conditions and estimating formula of ultimate convergence boundary are provided. Conditions are descriptive by coefficients of models. At the same time, paper studies the Lyapunov stability of the electricity market. As well as the sufficient conditions of judging electricity market Lyapunov stability are provided. Some of conclusions improved the results of Alvarado and others. The conclusion of Lyapunov stability has made a comparative with practical results.

首次将实用稳定性理论和方法应用于电力市场稳定性的研究中，借助于构造合适的Lyapunov函数、柯西矩阵、矩阵测度、常数变易法等工具，系统研究了所建电力市场模型的实用稳定性，得到了用模型的系数来描述其实用稳定性的一系列判定条件和最终收敛边界的估计公式；同时对电力市场的Lyapunov稳定性进行了研究，得到了电力市场稳定性的若干判据，部分结论改进了Alvarado等人的结果；随后将Lyapunov稳定的结果与实用稳定进行了比较。

In order to simplify the numerical computation, Ambrosio and Tortorelli's Γ-convergence approximation is also employed to substitute irregular parts of MS functionals with the auxiliary smooth function.

采用了Ambrosio和Tortorelli提出的Γ-收敛逼近方法，将MS函式对边界积分转化为一类合适的辅助光滑函数的区域积分。

The BTH remote control system employed an Amplidyne electrical system for gun and turret control which was to be linked with a 'convergence computer' designed by the Royal Aeronautical Establishment.

BTH公司的遥控系统使用一个电机放大器电气系统来操作武器和炮塔，这个操作系统与皇家航空研究院开发的"收敛计算机"连接。

Secondly, the optimum operating conditions of the batch distilling tower for separating amyl alcohol from the fusel oil were found by applying CC-BATCH, a batch distillation model of the chemical engineering simulative system named ChemCAD5.0, to simulate and calculate the special technological process of salt outing-special batch distillation.

其次，利用ChemCAD化工模拟系统软件中的CC-BATCH间歇精馏模块对"盐析—特殊间歇精密精馏法"从杂醇油中制备C5醇的分离工艺进行了全流程模拟优化计算，模拟过程在所设限定条件下能满意收敛，所得结果与实验结果基本上一致。

Using analytic continuation in the coupling constant method within the framework of the self-consistent relativistic mean filed theory, we study the energies and the widths of the resonant states in ~(16)O nuclei, and the influences of the coupling constant interval and the Pade approximant order are analyzed.

考察了~(16)O的中子共振态能级，并且详细研究了耦合常数右端点对应能量的变化和Padé多项式的阶数对能量和宽度的影响。结果表明：适当选取耦合常数取值区间可以得到既收敛又稳定的结果。

The structure of analytic solution space is obtained and general form of the analytic solution is presented by means of Dirichlet Series. The convergence of Dirichlet Series solution is discussed.

根据比例延迟微分方程的性质，我们构造了Dirichlet级数形式的解析解，证明了Dirichlet级数形式解的收敛性，获得了保证方程解析解渐近稳定的充分条件。

Rut there also exist some imperative problems which havent been resolved, such as the problem of optimizing network structure, the design of learning algorithms, the improvement of convergence speed and error precision, the decrease of anthropic factors and so on.

但是也存在一些亟待解决的问题，如网络结构的优化问题、学习算法的设计、收敛速度和误差精度的提高及人为因素的减少等方面。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。