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In this article, the existence and uniqueness of the generalized solution of this boundary value problem are discussed, the existence and convergence of Galerkin's approximate solution is proved, and Linear dependence of the the error bound on M~2/(1-M~2) is also proved, where M is Ma...

本文证明了这类方程弱解的存在和Galerkin逼近解的存在和收敛，并且还给出了有限元解的误差估计，指出误差界线性地依赖于M~2/(1—M~2)。M为马赫数。也就是说，当流速接近音速时，有限元解的误差将无法控制。

Content: By learning this course, students should grasp the elementary solution of first order differential equation, the structure theory of linear differential equation or system of linear differential equations and the solution of constant coefficient differential equation or system of constant coefficient differential equations.

主要内容：通过对本课程学习，使学生掌握一阶微分方程的初等解法、线性微分方程的结构理论和常系数方程的解法，对微分方程初值问题的一些基础理论有一定的了解，对

Such as seeking the solution of inverse matrix and maximum unconcerned system of linear equations,and solution of matrix equation,proving equation of system of vectors,and judging the linear independence of system of vectors,etc.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

Second order linear ordinary differential equation with variable coefficients ; finding of solution ; periodic solution.

二阶变系数线性方程；充要条件；可积；求解；周期解

The optimal technical conditions were summed up as follows in zein extraction: addition of 75 % ethanol solution (ratio of solution and materials as 6:1), then 2 h lixiviation at 60 ℃, then centrifugal separation, and the recovery rate of zein achieved 67.37%.

实验确定了提取玉米醇溶蛋白的最佳工艺条件为：添加液料比为6：1的75 %乙醇溶液，在60 ℃浸提2 h后，离心分离，醇溶蛋白回收率为67.37 %。

Since the model is a large scale and NP-hard combinational optimization problem in the real navigation environment, a hybrid simulated annealing algorithm is employed to search the suboptimal solution composed of a lockage timetable and a ship scheduling, The search starts by trimming the existing lockage timetable based on heuristic rules; the result is then used to compute the ship scheduling by the depth-first-search algorithm. The obtained solution is finally updated by the Metropolis rule.

本文首先提出了该问题的混合整数非线性规划模型，在实际通航调度环境中，该模型属于强NP-hard复杂度的大规模组合优化问题，因此设计了一种混合模拟退火算法来搜索次优化调度方案，该算法将解分解为闸次时间表和船舶调度计划两部分，在搜索过程中用启发式规则对闸次时间表进行调整，然后用深度优先搜索算法根据闸次时间表求解船舶调度计划，最后根据Metropolis规则对当前解进行更新。

The results show that the SI value of MAP is the logarithmic function of the mass concentration of P, of ammonium N and of Mg, respectively, and increases with the increase of the mass concentration of each element, The SI value of MAP is a polynomial function of the solution pH value, and the optimum pH value for the crystallization of MAP is 9.0 and increases slightly with the increase of N/P. Moreover, the SI value of MAP is a power law function of the solution ionic strength but decreases with its increase.

计算结果表明，磷酸铵镁的饱和度指数与氮、磷、镁的质量浓度分别呈对数函数关系，并随任何一个因子的增大而增大；与溶液pH值呈多项式函数关系，结晶反应的最佳pH值为9.0，并随溶液中氨氮与磷摩尔比的增大而略升；此外，磷酸铵镁的饱和度指数与溶液离子强度呈幂函数关系，随离子强度的增大而减小。

The detailed comparisons between the higher—order near tip solution and the well—known modified Prandtl field are also given in this paper.For the compressible materials, in order to satisfy the higher-order compatibility equation of the rate of deformation in the centered fan sector, which is a quite difficult problem unresolved in the previous studies, a particular term must be added to the expansions of the stress components in the regular logarithmic power series adopted by many researchers before. A higher-order near tip field with tangential velocity jump ahead of the crack tip is derived first, of which the dominant terms are the solution widely accepted.

对可压缩材料，本文首先采用非规则的对数幂级数渐近展开方法，克服了过去研究中存在的中心扇形区变形率协调方程的高次渐近式不能被满足的困难，并得到了一个切向速度在裂尖前方存在间断的高阶渐近解，该解的主项就是目前被广泛接受的关于可压缩材料的尖端场解。

Methods: In accordance with conventional reporter gene analysis reagent preparation method, the main component Luciferase, Luciferin and ATP were serial diluted to find the optimal concentration; Reaction solution was prepared according to the optimal concentration of the main component, then ATP were serial diluted to measure their reporter gene. Then standard curve of ATP were drawed. Tumor cell lines H1299 were serial diluted and their ATP were measured by reaction solution prepared to analyse the minimum cell number.

按照常规报告基因分析试剂配制方法，将其中主要成分Luciferase和Luciferin及ATP浓度进行倍比稀释后找到最适合反应的最佳浓度值；按照最佳浓度配制反应液，将ATP浓度倍比稀释测定报告基因数值并绘制标准曲线，分析检测灵敏度；另外选取肿瘤细胞株H1299，倍比稀释后裂解细胞应用配制好的反应液进行ATP检测，分析最低检测细胞数。

Male mice were divided into contrast group, malate group, malate oligosaccharide solution group, malate complex nutrient solution.

实验动物为昆明种小鼠66只，分为对照组、服用苹果酸溶液组、苹果酸糖液组、含苹果酸的复合营养液组。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。