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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。

This paper discusses the broad-sense relation between solution and coefficient of some special kinds of second order variable coefficient and homogeneous linear differential equation,and have a try of giving a general form of common solution and the coefficient decision formula of special solution.

探讨了某些特殊类型二阶变系数齐次线性常微分方程的解与系数的广义关系，尝试了从理论上给出通解的一般形式和特解的系数决定式。

AbstractPaper introduces the exponential function and homogeneous balance method for solving nonlinear partial differential of the exact solution, and then comparing the reference solution, and ultimately new exact traveling wave solution.

摘要论文主要介绍指数函数法和齐次平衡法求解非线性偏微分的精确解，然后对比参考文献的解，最终得到新的精确行波解。

Based on a delay-dependent bounded real lemma, the condition under which a decentralized robust H(subscript ∞) output feedback controller exists is derived and it is available to be attributed to a solution to the problem of nonlinear matrix inequality which can be expressed in terms of a homotopy function properly selected. Then, with the homotopic iteration method and the Schur complement lemma introduced, the solution can be converted into an iterative solution to the linear matrix inequality.

基于一个时滞依赖有界实引理，将系统鲁棒分散H动态输出反馈控制器的解归结为一个非线性矩阵不等式的求解问题；选取适当的同伦函数来表示该非线性矩阵不等式，采用同伦迭代算法及Schur补引理，将求解非线性矩阵不等式转化为线性矩阵不等式的迭代求解问题。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation. The difference between the original linear solution and the solitary wave theory results from the nonlinearity and dispersion of generated waves in the flume.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

The questing for acidic middle-temperature electroless Nickel technology leads to the preferable prescription as follows:Proportion of Nickel Sulphate and Sodium Hypophosphate 0.36; Sodium Acetate 15g/L; Stabilizer A lmg/L(Stabilizer B Img/L for continual experiment); Composite complexing agent Lactic Acid 10ml/L and acetic acid 10 ml/L; Accelerator organic acid G 6g/L; pH value 5.0; Loading Capacity ldm2/L; Temperature 70C (Temperature 75C for continual experiment); Proportion of supplement for Nickel Sulphate and Sodium Hypophosphate 1:1.2; Testing the consumed ion of Nickel solution and supplement inspissations solution every 60min by the proportion of 15% fresh solution.

最后，通过研究得出最佳工艺配方为：硫酸镍与次亚磷酸钠的摩尔比为0.36；乙酸钠15g／L：稳定剂Almg／L(周期实验加稳定剂B10mg／L)；复合络合剂组合为乳酸10ml／L+冰乙酸10ml／L：促进剂为有机酸G6g／L；pH值为5.0；装载量为1.0dm~2／L；施镀温度为70℃(周期实验为75℃)：主盐与还原剂的添加比例1：1.2；每60分钟对镀后液进行镍离子浓度的测定并按镍离子的消耗量添加浓缩液，添加比例按开缸液的15％。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。