形式模型

First, the uncertain ordered weighted averaging is used to aggregate the decision-maker's different preference information into the interval number comparison matrix. Then, the group's overall satisfaction membership function is defined based on the decision-making's allowable error. The maximal group consistency weight model is established.

采用UOWA算子将决策者的偏好信息集结为区间数互反判断矩阵和互补判断矩阵两种形式，结合决策者给出的允许偏差，定义群满意度隶属函数，建立求解群偏好一致程度最大化的权重模型。

Based on the laminate theory, a laminate weakened by damage is treated as an anisotropic thin plate. Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of Faber series. A hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples. The state of the damage is modeled by an elliptical soft inclusion, and using the point stress criterion based on characteristic curve and Yamada-Sun etc. criteria, the prediction of the strength of a composite laminate with damage is set up. The effects of various parameters on the stress distribution and the residual strength of a composite laminate weakened by damage are detailedly studied.

首先基于经典层板理论，将复合材料层板的弹性问题化归为均匀各向异性板来求解；采用各向异性体平面弹性理论中的复势方法，以Faber级数为工具，给出了有限大含椭圆核各向异性板弹性问题的级数解形式；利用杂交变分原理，成功导出含椭圆核各向异性板杂交应力有限元，并用算例验证了该单元的可行性和有效性；采用含刚度折减椭圆形弹性核的冲击损伤模型，引入基于特征曲线和Yamada-Sun破坏准则的点应力判据，建立了含损伤复合材料层板剩余强度的分析方法；通过数值计算详细讨论了各种几何参数对损伤层板应力分布、剩余强度的影响，得到了一系列对工程应用具有实用价值的结论。

If we hope to use a sequence of finite objects to approximate infinite objects, then we should know what kinds of infinite objects are approximable and how to approximate them effectively.

无穷形式对象可逼近的充分条件为了研究哪一类无穷对象可以逼近以及如何有效地逼近它们，我们用过程模式作为无穷对象上的计算的模型，用以刻画接受无穷输入、生成无穷输出的无穷对象上的计算。

Pre-stressed composite space truss is one of the new kind of space structure systems developed on the basis of prestress and space truss, which consists of steel and reinforced concrete. At present the study in this field is just being begun in our country. Therefore, in this paper static and dynamic performances of pre-stressed composite space truss associated with a practical engineering are studied, in addition, dynamic test on construction site and model experiment are done. Finally, we conclude this structure is well in stress and stiffness and dynamic characteristics.

预应力组合网架是一种基于网架和预应力技术发展起来的由钢和钢筋混凝土组合而成的新型预应力空间结构体系，目前国内在此领域的研究和应用都较少，为此，本文结合实际工程对预应力组合网架进行了静力和动力的分析研究，并作了施工现场的动力测试及模型试验，总结出预应力组合网架受力比较合理，刚度、动力特性好，是值得推广的一种空间结构形式。

In the term of unloading and opposite side loading, let the stress-strain curve have the same form of skeleton curve, the curve uses the last unloading point as its starting point, and uses soil's ultimate stress level as its asymptote. Then the hysteretic curve is constructed.

在卸载和反向加载时，采用与骨架曲线相同的函数形式，并以前一次卸载开始点作为起点，以土体的极限应力水平作为渐近线，构造出土体动力本构模型的滞回曲线。

So there are many papers devoted to the investigation of existence and uniqueness problems, asymptotic behaviour of solutions, and so on.

我们知道现实世界中的许多模型不单单只是单个的演化方程，更多的是以方程组的形式出现的。

With this method, the controller of the PWM DC/DC converter is designed. Utilizing augmented matrix to build a tracking control model with no steady error, and through select weighted matrix to perform the no overshoot and dynamic response of system.

通过引入增广矩阵，增加了控制量U*中对误差的积分环节，推导了无静差跟踪控制系统模型；在目标函数的构成参量和形式确定之后，通过选取适当的加权矩阵，实现系统的无超调动态响应。

In MA models, the likelihood function is so complicated that we just search a better estimate value in a range. Another method introduced is autoregression approximation method.

在滑动平均模型中，由于似然函数形式很复杂，这里采用逐一搜索的方法，本文介绍的另一种估计方法是自回归逼近方法。

In autoregression models, when the parameter from GED is known, adaptive rejection sampling method is used to estimate parameters; when the parameter from GED is unknown, we have to decide a range, also use the same method to give a reasonable estimate of the parameters.

在自回归模型中，GED分布的参数已知的情况下，基于似然函数的形式用拒绝抽样方法估计自回归系数；GED分布的参数未知时，我们给定参数的范围，用拒绝抽样方法寻找自回归系数合理的估计值。

Therefore, this chapter, in the first place, discusses the axiomatization of theory ofevolution and introduce in detail Williams' axiomatic system about evolution. Insecond place, it discusses the dissipative theory and the hypercycle theory. Thisdiscussion is actually about a kind of semantic which is the molecular model.

因此，在这一章，首先，对进化理论的公理化形式进行讨论，详细介绍了Williams进化论的公理系统；其次，讨论耗散结构理论和超循环论，实际上是讨论了关于进化论的演绎公理系统的一种语义或分子层次的模型。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新