求解

This paper also gives a numeral model of LCS problem by using string-coding function, and proves that the LCS problem can be treated as so_called Tomograph problem and be solved with algorithms and hardware suitable for Tomograph problem.

本文提出与LCS问题和一阶Unification问题对应的两种格代数系统，并用项图描述Unification问题，从而构造得到这两种格代数系统之间的同态，使得用求解LCS的算法和硬件求解一类Unification问题成为可能，给出基于LCS硬件的Unification求解器的原理方案。

Then 4 approaches are used for solving semiconductor thermoelectric problems are proponed:(1) solve basic semiconductor equations directly,(2) solve heat transfer equation with the fitting expressions of thermoelectric transport,(3) approximation of relaxation interval time,(4) characteristic temperature of thermoelectric-pile method.

随后，提出了求解半导体热电问题的4种方法：①直接求解半导体方程组②驰豫时间近似法③利用温差电输运系数的拟合式来求解导热方程④热电堆特征温度法。

This algorithm avoids soling differential equation frequently as well as redundant orbit, and it is easy to control the accuracy and to get the picture of manifold.

该算法避免了频繁求解微分方程问题，没有求解多余的轨道，且求解的精度也容易控制，得到的流形图直观。

The first part of this paper goes to a thoroughreview of studies on methods for nonlinear least squares problems, which are then,from the perspective of arithmetic design, classified into five major types: methodsbased on quasi-Newton equation, hybrid methods, factorized quasi-Newton method,trust-region methods, and self-scaling method. The second part of this paper turns thefocus toward a type of new algorithms for nonlinear least squares problems based onnew quasi-Newton equation.

本文的前半部分通过对非线性最小二乘各种求解方法的回顾，从算法设计的角度将求解方法划分为五大类：基于拟牛顿修正的方法，混合法，分解拟牛顿法，信赖域算法以及具有乘积结构类算法，本文后半部分给出了基于新拟牛顿方程的一类求解非线性最小二乘的新算法。

Thus, the gradient descent of objective function can be calculated through a set of linear program.

算法分析及实验研究表明，对于多Agent交互模型中的相关问题，本文提出的方法可求解任意图结构图型博弈Nash均衡，对于大规模图型博弈也有较好的求解精度和求解效率。

Meanwhile, the method of how to learn macro-operator based on subgoals is also studied. Secondly, the situation of problem solving, in which there are no problem operator model and no any heuristics, is studied.

其次，作者针对无问题操作模型同时也无问题求解启发式信息的情况，研究如何利用训练例子，不断进行问题求解的试探，自动获取操作在不同状态集中的效用信息，形成问题求解的初步规划。

Firstly, the situation of problem solving, in which there is problem operator's model but no any heuristics, is studied. The utilities of operators applied in set of states can be obtained through the analysis of operator model, and the problem planning can be makeup in the form of subgoal hierarchic.

首先，作者针对有操作模型但无问题求解启发式信息的问题，研究如何通过自动分析操作模型获取操作在不同状态集中的效用，形成问题求解的初步规划，并利用初步规划的结果逐步求解相关子问题，从而获得整个问题的解。

As applications of the method, the linear wave making problems of Wigley hull and Series 60 hull are solved, with less collocation-points than that in traditional panel method, and the Kelvin wave-patterns calculated are in accord with the test data. Reasonable Kelvin wave-pattern and wave resistance of a high-speed round-bulge ship with transom stern are obtained by enforcing a condition, resembling Kutta-type condition, of smooth flow detachment at the transom stern. In addition to that, the linear solution of a catamaran is also presented.

本文运用该方法求解了Wigley船型与系列60船型的线性兴波问题，以较少的配置点计算出了与实验结果相近的Kelvin波系及合理的波形阻力；以在方尾部强加类似于库塔条件的光滑分离边界条件求解了高速圆舭型方尾船的线性兴波问题，得到了合理的三维波型及波形阻力；另外还求解了双体船的线性兴波问题。

Finally, we combine all the subprograms, along with graphical user interfaces, to complete the program. To obtain circle and center points, we use graphical methods in three-position problems and vector loop methods in four-position problems.

其中三个位置问题部分利用几何法求解，四个位置问题利用向量法求解，五个位置问题则利用四个位置问题之叠合以求解。

In NWFM,to solve self-consistently the set of DFT Kohn-Sham equations,nuclear weight function is employed for numerical solution of multicenter integra-tion,which decomposes the problem of three dimensional integration to a sum ofone-center,atomic-like integrations.

首先介绍如何利用线性组合的原子轨道方法求解密度泛函理论中的K-S方程；接着详细地说明了核权重函数的概念，并列出了两种常用的核权重函数形式，同时阐述了如何利用核权重函数求解包含多中心积分的矩阵元以及复杂的三维泊松方程以获得电子间库仑势的方法；然后给出了求解矩阵元、有效势以及体系总能的具体数值计算公式。

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。