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The proposed constitutive relationships cover a wide range of temperature, strain rate and strain, thus can be used for numerical simulation of plastic working of MP159 alloy and as dynamic equation for determining the stable window of forging thermomechanical parameters by using dynamic material modeling .

所建立的本构关系适用范围大，可用于MP159合金塑性成形过程数值模拟以及采用DMM方法确定锻造热力参数稳定区的动力学方程。

This thesis has discussed historical background and the ideas of the supply-chain management, and analyzed the origin of the uncertainty of the supply-chain and the effects that the uncertainty brings to the Supply Chain, the author of the thesis pointed out the intension of the supply chain optimization and discussed the ideas of the modeling of the supply-chain. The analysis referencing the dynamic programming theory of the deterministic optimization was involved in the thesis.

论文通过论述供应链管理产生的历史背景、供应链管理的基本概念，分析了供应链不确定性因素的来源以及不确定性给供应链管理带来的影响，指出供应链优化的内涵，并讨论了供应链管理建模的思路，针对确定性优化的动态规划理论进行归纳分析。

Firstly, according to the difficulties in the optimization of chemical engineering and the intrinsic disadvantage of deterministic optimization algorithms, this work analyzed the importance and advantage of stochastic algorithms, and proposed some important aspects in research on them. Secondly, genetic algorithm was applied to two problems of data driven modeling, one of which was combination problem, the other was mixed integer nonlinear programming. Thirdly, systemic investigations were made on the basic structure, dynamic behavior and modifications of particle swarm optimization. Lastly, two kinds of proposed PSO algorithms were applied on calculation of phase equilibrium, which is nonconvex optimization.

本文首先根据化工优化中存在的困难和确定性优化算法内在的缺点，分析了随机优化算法的重要性，并提出研究随机优化算法应注意的问题；其次，将遗传算法应用于两个数据驱动建模问题，一为组合优化问题，一为混合整数优化问题；再次，从粒子群优化算法的基本结构、运动行为、改进方法做了系统的研究：最后，将提出的两种改进粒子群优化算法应用于相平衡计算问题，为非凸全局优化问题。

From a detractor's viewpoint, the numerous modeling concepts,poorly defined semantics, and lightweight extension mechanisms that UML provides make learning and applying it in an MDD environment difficult.

从反对派的观点，众多的建模概念，定义不明确的语义，以及轻量级UML的扩展机制，使学习和提供在MDD的应用环境，很难。

The programs of the above methods und algorithms are developed, which shall be used in the system of developable surface modeling for CAD/CAM.

zier曲线的情形作了分析和比较。这些方法和算法均应用于实例在计算机上得以实现。

The history and representative work of methods of the developable surface modeling and surface development in the field of CAGD are briefly reviewed.

二、推导出了三次C-B？zier曲线导矢计算的简洁公式，证明了B？zier曲线的速端曲线性质对C-B？zier曲线不成立。

Finally, when a 00, the limt situations for the developable modeling and surface development above are all disscussed and Compared with those on Bezier curve .

六、以上提出的C-B？zier曲线上可展曲面造型方法和曲面展开算法，均给出了当α→0时的极限，并与B？

In the particular ease where a and γ are equal to 1, the developable CE-Bézier surface is a developable Bézier surface. Finally, some applications in developable surfaces design are discussed, The modeling examples illustrate that the developable CE-Bézier surfaces provide two valuable ways for the design of developable surfaces.

由新方法生成的可展曲面不仅具有灵活的局部形状可调性和更强的描述能力，而且保留了CE-Bézier曲面的特性，特别是当α、γ都取值为1时，所生成的可展曲面即为CE-Bézier可展曲面。2种可展曲面设计方法的应用实例表明，该设计方法不仅简单、有效，而且易于控制曲面形状，从而为可展曲面的设计提供了一种新途径。

You can see some of my professional modeling works on my Deviant Art.

你可以看到我的一些专业建模作品艺术上的偏差。

In the initial design period of lunar exploration device, an accurate finite element modeling of lunar regolith is significant for the simulation and analysis.

在月球探测设备设计初期阶段，建立较为精确的月壤有限元模型，对于仿真和分析探测工具与月壤的相互作用情况至关重要。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。