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The fact that solution of wave equation is equivalent to the extreme value of quadratic function solution was verified, and the existence and uniqueness of the quadratic function solution was also proved.

证明了波动方程的解和二次泛函极值解的等价性，以及二次泛函极值解的存在唯一性，为其在液压传动中流体瞬变分析的进一步应用提供了理论依据。

In this paper,first we give the definition of solution of inverse problem of Fuzzy equivalent matrix as transitive closure,then we prove existence of the solution and give the specific method of finding the solution.

给出了Fuzzy 等价矩阵作为传递闭包逆问题的解的定义，证明了其解的存在性，并给出了求解的具体方

Based on constraint satisfaction,an entirely feasible scheduling is obtained by constraint propogation technology and heuristic repair method and is regarded as initial solution for tabu search algorithm.Current solution is optimized by neighborhood transformation on a critical path.The final optimizal solution is improved by adopting a global neighborhood swapping strategy.

该算法基于约束满足思想，通过约束传播技术和启发式修复算法，得到可行调度作为禁忌搜索算法的初始解；再进行关键路径上的邻域变换，优化当前解；并采用一种全局邻域交换策略，扩大搜索空间，改善优化结果。

Result show:the solution,extracted from rat rail tendons,consist mainly of type I collagen;No growth of bacteria in 37℃ thermostatic culture box for 72 hours;Absorbing the height of ultraviolet-spectrophotometry is 230 nm by using flicker photometer examination;Amino acid in type I collagen consist of aminoacetic acid(40 per cent) and proline(14.3 per cent);Under microscope:collagen gel netted constraction consist of original collagen fibril that had been fairly well-distributed and had a quite regular striate lines ;The collagen solution prepared collagen gel matrixes in 37℃ thermostasis for culture cells and also prepared collagen solid film by washing collagen gel with a phosphate solution for plasty surgery materials.

结果：提取液主要为Ⅰ型胶原蛋白；72小时37℃恒温培养箱内培养无细菌生长；紫外分光光度计测定，吸收高峰为230nm；氨基酸成分主要为甘氨酸：占40%，脯氨酸：14.3%。显微镜下见：相互交织的胶原原纤维结构组成的网状结构；纤维均匀，有规则横纹。胶原蛋白液在37℃恒温下，可制成凝胶，用于培养细胞；用磷酸液冲洗胶原蛋白凝胶可成固体片状，制成胶原膜，用作医用材料。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解，得到了带径向边裂纹厚壁圆筒的权函数；然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应，分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加，利用傅立叶-贝塞尔级数展开，推导出了厚壁圆筒内动应力的响应历程和分布规律；最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

We give, for any solution of a tree, a clear description on the elements in the solution, by introducing the concept of"Quasi-All-Ones Problem"after analyzing the algorithm created by Galvin to construct a solution to the All-Ones Problem for trees thoroughly.

在对Galvin提出的树的全一问题解的构造算法进行仔细分析后，通过引入"准全一问题"，我们给出了任意树的解的清晰描述，并利用它计算出树的全一问题解的数目，给出了单圈图的全一问题解的两种构造算法。

It is found that the later is better than the former greatly, due to the fact that accurate solution by gaussian elimination is zero error. But zero error is ideal situation and it is difficult to reach in practice. So all we can do is to search an optimal solution under many restriction conditions, and the optimal can represent the solution of the question better.

咎其原因，高斯消元法是求解问题的精确解，而在实际生产科研工作中，这种理想状况是很难达到的，因此，遗传算法在多个约束条件下寻找当前最优解作为问题的解，才具有实际意义。

The results show that when Re is lower, the f is in rough agreement with Hagen-Poiseuille solution, however, Nu is slightly higher than Hausen solution. When Re reaches at 800, begins to depart from Hagen-Poiseuille solution, and Nu begins to increase quickly, which is due to earlier transition from laminar flow to turbulent flow.

实验结果表明，在低Re下，微管内部的值与Hagen-Po1Seuille解基本一致，但微钢管内部的Nu要略高于Hausen的解；当Re达到800左右时，内径为168μm的管内部的值已开始偏离Hagen-Poiseuille、解，Nu急速上升并形成拐点，这是由于流动发生转换导致的。

The second chapter is the main part of this paper, in which the formulation of the Riemann boundary value problem of non-normal type on the real axis, the solution method of homogeneous problem, the relation between the two kinds of different derivatives and the inhomogeneous problem will be thoroughly given. In this paper, the solution and the solvability of the Riemann boundary value problem of non-normal type on the real axis will be given. Furthermore, it is shown that the twokinds of derivatives of the function Ψ are existing and equivalent in the case ofthe solution about the original problem, therefore, we get uniformly Hermite interpolatory polynomial. The relation between the two kinds of different derivativesof the function Ψ are similar for smooth closed contours by means of the same proof.

第二章是本文的主要部分，分别给出了实轴上一类非正则型Riemann边值问题的提法、齐次问题的解法、两种导数的关系及非齐次问题的求解，本文运用杜金元教授[11]的方法获得了实轴上非正则型Riemann边值问题的封闭解及可解性条件，且在问题可解的情况下论证了函数Ψ的非切向极限导数和Peano导数存在且相等，从而获得了统一的Hermite插值多项式，同样关于封闭曲线上非正则型Riemann边值问题，采用本文论证方法证得了函数Ψ的非切向极限导数和Peano导数存在且相等，从而较好地统一了[10]、[11]中的Hermite插值多项式。

The effects of different factors on the laser-induced graft polymerization on the PET surface were analyzed, and the mechanisms were discussed. The factors were: 1 Monomers with smaller molecules resulted in better modification than polymeric monomers. Acrylamide monomer was chosen as hydrophilic modifier finally; 2 Higher concentration of the monomer solution favored the graft reaction; 3 With the increasing laser fluence, the surface hydrophilicity of PET films increased at first, then decreased. More laser pulses led to a more hydrophilic surface; 4 Benzophenone as a photosensitizer hindered the graft polymerization; 5 The homopolymer retardant of ammonium iron sulfate hexahydrate in a proper concentration retarded the formation of homopolymers and promotes the graft copolymerization; 6 The solvent of monomer solution also affected the graft reaction. Different solvents functioned in different ways. Ethanol can promote the graft reaction because of the activity of hydrogen in its structure; 7 pH value of the monomer solution affects the polymerization rate, and a lower pH value was favorable to the graft reaction.

这些影响因素的作用分别为：1小分子单体的表面改性效果好，确定以丙烯酰胺为亲水性改性单体；2较高的单体溶液浓度有利于接枝反应；3激光能量密度增大，薄膜表面亲水性先显著增强，后又减弱；激光脉冲次数越多，改性后表面亲水性越强；4光敏剂BP对PET表面接枝聚合反应有阻碍作用；5适当浓度的均聚物抑制剂六水合硫酸铁铵能减少单体均聚物的生成，促进接枝聚合；6单体溶液的溶剂也影响接枝聚合的反应进程，不同溶剂的影响作用原理不同，含较活泼氢的乙醇能促进接枝反应；7溶液pH值影响单体聚合速率，pH值较低有利于接枝反应。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。