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A precise background theory of computational mechanics is formed. Saint-Venant's principle is discussed in chain model by means of this precise theory. The classical continued fraction is developed into operator continued fraction to be the constrictive formulation of the chain model.

用泛函分析的双空间理论为计算力学构造了一个严密的背景理论，以此在链式模型上讨论圣文南原理，同时将传统的连分数扩展为算子连分式作为链式模型的本征关系式。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

O1 c compactness of the entropy equation; At last, coupling with Kinetic formulation, we can obtain the existence of a strong convergent sequence, then the limit function is just the entropy weak solution of the original systems.3. Existence of global entropy solutions to an inhomogeneous elastodynamics system.

o1 c紧性，最后结合Kinetic理论得到粘性解存在强收敛的子列，从而可得该极限函数即为原方程组的熵弱解。3、研究了一类非齐次弹性力学方程组整体熵解的存在性。

Based on the convex analysis and duality theorem, a kinematic shakedown formulation for 3-D problems is derived.

根据下限定理，通过引入P泛数，并采用应力函数法构造平衡应力场，建立了极限下限分析的有限元数学规划格式。

All sets of constraint function are the linear function of design variables and the feasible region is a convex set according to this formulation.

模型中所有的约束函数都是设计变量的线性函数，可行域是一个凸域。

Results:The optimized formulation was composed of 20% of PLGA-PEG-PLGA copolymer and 0.1% of the drug.

结果确定原位凝胶的较优处方为w： 20％、0.1％。

Key technical/technological parameters include specific core surface load, formulation and particle size of charge, decomposition volume etc were optimized through a large number of experiments.

还通过大量实验优化了多炉芯加热技术的单位炉芯表面负荷、炉料配方、原料粒度与分解量大小等关键工艺参数，并研究了在不同技术／工艺参数条件下的产品的特点、化学纯度和结晶状况。

And this paper assumes that resisting power is accordwith parabola, gets all arch as basic configuration, gets formulation from the condition that therelative corner , horizontal displacement and vertical displacement of vault section iszero,adds deformation condition of maximum resisting power and zero resisting power, solvesequation group to get the internal force of lining . And lining internal force computing methodunder bias load based on assumed resisting power method is formulized.

本文假定弹性抗力按二次抛物线分布，取全拱为基本结构，由拱顶截面的相对转角、相对水平位移和相对垂直位移为零的条件列出变形协调方程，再增加最大弹性抗力处的变形协调条件和弹性抗力为零处径向位移为零的变形协调条件，解方程组求解得出衬砌结构的弹性抗力分布及内力。

Company Profile: The establishment in 1997, is a privately owned enterprises, mainly engaged in advertising media agents, customers placing ads in the formulation and implementation of plans, corporate video filming and production, outdoor advertising media, such as the publication and production.

公司简介：该于1997年成立，是一家私有企业，主要从事广告媒体代理，客户广告投放计划的制定和实施，企业宣传片的拍摄和制作，户外广告媒体的发布和制作等。

Besides the physical model, the mathematical formulation of false positive ratio and correlation function are provided.

详细描述了算法的物理模型和数学依据，给出了还原虚报率和关联函数的理论公式。

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。