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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％。

Through experiments, we have studied on solution characteristic of glauberite-one kind of rock salt-in water and chemical impregnant,the characteristic curves of solution are established in different solution condition.That can direct the fast slot in the rock salt beds.

为在岩盐矿层中建造储备库的快速建槽提供了一种有益的方法，即在钙芒硝矿层中建造溶腔时，优先用化学溶解法建造溶腔的雏形。

The direct method of solution for non-normal type of singular integral equation with Hubert kernel is discussed. Their solution have form of integral and the condition of solution have form of the system of equations.

给出了具有Hilbert核非正则型奇异积分方程的直接解法，对核密度函数k在附加某些条件下，得出了方程积分形式的解和方程组形式的可解条件。

The discrete stiffener solution and orthotropic plate solution are used for analyzing the buckling behavior of intermediately stiffened plates theoretically in this paper. Thus, closed-form solution of critical buckling stress and required adequate stiffening rigidity of the stiffener is obtained.

本文分别用分离加劲肋法和各向异性板法对纵向中间加劲板件的屈曲性能进行了理论分析，得到了屈曲应力和理论充分加劲刚度解析表达式。

Systematic isopiestic determinations have been made at the temperature 298.15 K for the mixed nonelectrolyte aqueous solution saturated with an electrolyte and a nonelectrolyte {water (A1)+sodium chloride〓(A2)+glycine〓(A3)+sorbitol+ sucrose}, the mixed nonelectrolyte solution saturated with two electrolytes {water (A1)+sodium chloride〓(A2)+barium chloride〓(A3)+sorbitol +sucrose}, and the mixed electrolyte solution saturated with another electrolyte and a nonelectrolyte {water (A1)+barium chloride〓(A2)+mannitol〓(A3)+ sodium chloride +ammonium chloride}, taking sodium chloride or calcium as the reference standard.

以NaCl或CaCl〓为参考物，系统地测定了298.15K时一种电解质和一种非电解质饱和的混合非电解质溶液{H〓O(A1)+NaCl〓(A2)+甘氨酸〓(A3)+山梨醇+蔗糖}、两种电解质饱和的混合非电解质溶液{H〓O(A1)+NaCl〓(A2)+BaCl〓(A3)+山梨醇+蔗糖}以及一种电解质和一种非电解质饱和的混合电解质溶液{H〓O(A1)+BaCl〓(A2)+甘露醇〓(A3)+NaCl+NH〓Cl}的等压平衡。

And adsorption of jack bean proteins onto the amphoteric resin was studied in this paper. The amphoteric resin was in innersalt form. The results of adsorption experiments show that when the proteins are adsorpted into the amphoteric resin in the neutral phosphate buffer solution, the diffusion coefficient of protein is near twofold in 0.4 mol/L NaCl phosphate buffer solution than that in solution without salt, and the adsorption capacity of protein also rises at the same ti...

通过盐浓度对吸附的动力学和热力学影响的研究，结果表明，在中性磷酸盐缓冲液中，两性树脂吸附刀豆蛋白，有盐( 0 。4mol/L Na Cl)的比无盐的扩散系数提高将近一半，且吸附量增加，其吸附等温线的效率在最初始部分高于无 Na Cl时的；随着盐浓度( 0～ 1 mol/L Na Cl)的提高，树脂对蛋白的吸附量也变大，盐浓度提高时树脂膨胀体积的增大与蛋白吸附量的增加呈线性关系，内盐型两性树脂对大分子蛋白质的吸附作用与小分子高价离子的相似，同样是通过内盐键破裂吸附。

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。