问题求解

Based on the series expansion technology in complex potential theory established by Muskhelishvili the complex stress functions can be estabished. By utilizing the continuity principle of the boundary condition and the characteristics of far field and according to the comparison of the coefficients of the terms on both sides of the equation with the same exponent the present problem can be transformed into solving of linear equation set.

根据Muskhelishvili复势理论的级数展开技术，构造了合适的各区复应力函数；然后，利用边界上位移、力的连续性条件和远场的性态，通过等式两边同次幂指数的系数比较，将问题转化为线性方程组的求解；结合叠加原理，获得混凝土在此情况下环向应力的解析解答。

The forth part is different to the third one, because the salary is not steady but obeys to a continuous distribution function.

在此，通过对最优化问题的求解，得到了意义更为广泛的工资表达式，并得到工人的平均福利水平。

To solve continuous function optimization problems, a new stochastic search algorithm based on ant swarm intelligence is introduced .

引言蚁群算法是最近几年才提出的一种新型的模拟进化算法，2000年把蚁群算法扩展到了求解连续函数的优化问题[1]。

In this paper,four aspects of the above problems were studied:Firstly, the problem of solving continuous linear operator equation inseparable Hilbert space is studied .

通过把第一类连续不适定算子方程转换为等价的无穷维方程组，然后利用投影法，给出了解存在唯一的充要条件；给出了连续线性不适定算子方程解析解，解决了不适定情况下解的表示问题，由此给出了算子方程的数值求解公式；进一步证明了，在解不唯一情况下，此表达式给出的解为算子方程的最小范数解，同时表示出了连续线性不适定算子方程的解集。

In this study, a reduced order model based algorithm was developed for inverse convection heat transfer.

在低阶模型的基础上开发了一种求解对流换热反问题的算法。

This paper describes a numerical simulation method used to resolve coupled unsteady convective and conductive problem in pipeline.

文章主要描述了一种用于求解管路中非稳态对流换热和非稳态导热耦合问题的数值方法。

In 3D scalar Helmholtz equation computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by The GMT.

首次从理论上证明，在三维静电场分析中，存在一种无穷级数收敛，且有一定普遍性的解析解；推导出三维静电场分析的多极理论通解及其使用规则，证明或解释广义多极技术不能证明或解释的若干使用规则，用多极理论求解工程实际中的三维静电场边值问题。

Generalized Pulse-Spectrum Technique is a kind of widely applied and effective methods for solving inverse problems of geophysical prospecting. But it is still imperfect in the aspects of convergence domain, ability of anti-noise, computaional cost, choice of regularized parameter, and so on.

广义脉冲谱方法是求解地球物理反问题的应用广泛而有效的一类方法，但在收敛范围、抗噪能力、计算量、以及正则参数选取等方面仍存在较大不足。

Because of the problem of convergence, the key techniques to complete the one step simulation were explored thoroughly. The geometry mapping method based on finite element model and inverse deformation was developed to get the approximate initial blank for one step simulation. The effective selection of convergence factor in Newton-Raphson method was studied. The divergence criterion in iterative process for one step simulation was put forward. Also the countermeasure to ill equations coefficient matrix was studied.

由于存在收敛性的问题，本文重点研究了一步模拟方法计算机实现的关键技术：提出了基于有限元模型的几何映射方法和反向变形方法来确定初始毛坯的近似解，研究了带收敛因子的Newton-Raphson方法中如何高效地选取收敛因子，提出了一步模拟迭代求解过程中的发散准则，并研究了病态方程组系数矩阵的修正方法。

In Chaper 4,we extendthe simple Newton's method to sovle our problems,the convergence theorem is proved.

在第四章，我们将简单Newton方法加以推广，用于求解取值在闭凸锥中的非线性包含问题，建立了一般的收敛性定理。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。