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The solution for the non-stationary system is obtained through the stationary disturbed system. The gradients of the system performances to all design variables are derived and they can be used to obtain optimal solution of the systems. More generally, if the performance of the system is a function of the solution of a set of generalized Lyapunov equation, then the gradients of the performance function to the coefficient matrices of the equation can be found in closed form.

文中显示，非静态干扰系统的解可由静态干扰系统求得，而此干扰系统之最佳解，则经由本文所推导的对所有设计变数之系统性能函数梯度获得；一般而言，如果系统之性能函数是一组通式化 Lyapunov 方程式解的函数，则此方程式的系数矩阵之性能函数梯度，可用封闭解表示之。

Aiming at the problem that solution FEMequation set needs too much memory, segregated solotion methOd has beenadopted and for the first in China E l em ent- B y- E lement has been introduc edwhen solving flow field parameter equation sets. EBE technology need notassemble and store the global stiffness matrix, and minish effectively memoryrequires of solution equation set, moreover it has inherent high parallelity, andadvance equation solution.

针对求解流场有限元方程组占用计算机内存资源过多、限制求解规模的缺点，采用分离式求解法，在求解流场各参数方程时，在国内首次引入EBE技术，EBE技术不必组集和存储总刚矩阵，能有效地减小了方程组求解时对内存空间的要求，同时EBE技术具有内在的高度并行性，能有效提高方程组的求解速度。

It is proved that if the optimal solution tree has an inter-node, the necessary and sufficient condition that tree structure GAs are solution foundable is that the initial population contains an inter-node; the upper limit of solution foundable probability is also calculated and the population size is proved to increase at most in a polynomial of increasing problem complexity and the probability upper limit.

本文接着给出了当初始群体随机产生，只有杂交算符作用或只有复制与杂交算符作用的遗传算法有解的充要条件，并加以证明；而且求出了这时有解的概率上限，并证明群体大小的增加不超过问题复杂性和有解概率上限的某个多项式。

The notes of essential solution and essential components of solution set for vector optimization are introduced in order to research the stability of weak efficient solution of general vector optimization including the infinite dimensional problems.

对向量优化引入本质解和解集的本质连通区的概念，研究一般向量优化问题弱有效解集的稳定性。

The Lewy equation is locally solvable and globally solvable,and we have got the analytic expressions of the local solution and the global solution.So we obtain the conclution "when ,Lewy's equation (5) has solution ".

Lewy方程是局部可解与整体可解的，我们已经获得了其局部可微解与整体可微解的解析表达式，获得了"Lewy方程（5）当，则有解"的结论。

At last, we provide the upper semi-continuity and compactness of the spectral scalar solution set mapping under some suitable conditions, and the necessary and sufficient conditions to guarantee the lower semi-continuity of the spectral scalar solution set mapping by virtue of the concept of essential solution.

最后，给出了谱标量解集映射满足上半连续且紧的充分条件及下半连续的充分必要条件。

The paper studies the application of spherical geometry to the field of 3D geometric constraint solution and presents a geometric constraint solution method,called spherical solution method .

研究了球面几何学在三维几何约束求解中的应用，提出了球面求解法。

Draw the effective composition of the red red-spotted stonecrop through drawing the law in ultrasonic wave at first, learn through the experiment that drawing time , density , firm liquid in supersound will have remarkable influence than on the drawing rate of supersound; 60% ethanol solution of solution, than remarkable ultrasonic reciprocation of time firm liquid have; The best experiment condition is: Solvent solution, firm liquid than for 1:10, draw 45min for 60% ethanol..

首先通过超声波提取法，来提取红景天的有效成分，通过实验得知超声提取时间、浓度、固液比对超声提取率均有显著的影响；溶液中的60%乙醇溶液，固液比及超声时间的交互作用显著；最佳实验条件为：溶剂为60%乙醇溶液、固液比为1：10、提取45min。。

The results showed that the cellulose carbamate which synthesized with cellulose pulp that polymerization degree was in the range of 350-612 and the content of N in the range of 2.34%~3.56% could be dissolved in sodium hydroxide solution of 8% to 11% at temperatures of -5~10℃ form 7% cellulose carbamate solution with straw yellow. The obtained solution could be directly used for spinning.

结果表明：在-5~10℃条件下，用聚合度为350~612的纤维素浆粕合成的氮含量为2.34%~3.56%的CC能很好地溶解在质量百分比浓度为8%~11%的NaOH溶液中，形成淡黄色透明溶液，该溶液稳定性良好，可用于纺丝。

The relations are built up between the height of solution elevation, the submersed depth of solution, the physical property of solution and the flow property.

研究结果揭示了浓溶液提升高度、稀溶液浸没高度等重要参数跟制冷剂蒸汽、LiBr水溶液的物性参数、流动参数之间的内在关系。

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。