近似方法

In chapter three,we have derived a generalized dual London equation for the Abelian "electric" field A_μfrom the effective dual Abelian-Higgs model.The approximative result and the numerical simulation result as well as their figs were shown via solving the dual Abelian-Higgs model with different methods.Hereby the vortex solution of the chromo-electric field and the vortex energy density were also discussed.Finally,we have studied the dual Abelian-Higgs model with additional vacuum constant,and have unpuzzled the vacuum constant corresponding to the bag model.When the quark sources is introduced, the vacuum constant in the MIT bag model is proportional to the quartic of the monopole mass.

利用不同方法求解该方程，给出了该方程的近似结果和数值模拟结果，并分别对两种情形画出图像作了比较，据此还讨论了色电场的涡旋解及能量密度，最后讨论了含有附加真空常数的对偶阿贝尔-黑格斯模型并对应口袋模型给出了附加真空常数的物理解释，引入夸克源之后还预言麻省口袋模型中的真空常数正比于单极质量的四次方。

Complex and abstract content of brand value is main reason that causes the valuation method diversification and the analyzing result differences.

品牌价值内涵和构成的复杂性及近似抽象性是导致评估方法多元化和评估结果差异化的主要原因。

The base principal in controlling method is madding aerodynamic force acting on transmission line changed into approximate balance state.

此方法的基本原理是：使作用在输电线上的气动力近似地成为平衡力系，从而控制输电线舞动。

The base principal in controlling method is madding aerodynamic force acting an transmission line changed into approximate balance state.

此方法的基本原理是：使作用在输电线上的气动力近似地成为平衡力系，从而控制输电线舞动。

Being based on the simulative idea to the adaptive fuzzy control mechanism of human brain, a new and unique no-model adaptive fuzzy control structure is given and relevant theory methods and AFDC system of robot are established in the strategy.

该策略基于模拟人脑的自适应模糊控制功能的设想，从被控机器人近似于黑箱的角度，给出了具有特色的复合无模型自适应模糊控制结构模式，并建立了相应的研究理论、方法和机器人自适应模糊动态控制系统。

The quadratic polynomials and Kriging method are employed to construct the response surface separately, Numerical results indicate that the forebody and afterbody designed by us is of simple configuration, not only can it ensure the efficiency of propulsion system, but also have a better aerodynamic performance.

响应近似模型分别采用了二次多项式和kriging方法来构造，结果表明由本文设计的前后体外形结构简单，不仅能确保推进系统的工作效率，而且具有更好的气动性能。

Aiming at the strong coupling characteristic during the multi-disciplinary optimization process of hypersonic aerocraft, in order to reduce computing time and increase the feasibility of optimization process, this paper adopted the approximate method to build the responding model between disciplines, In this paper, under the condition of ensuring the engine stable and high efficient , the designing work also consider the whole aerocraft performance sufficiently from the effect of forebody and afterbody.

针对高超音速飞行器多学科设计优化过程中的强耦合特性，为了减少计算时间，提高优化过程的可行性，采用近似的方法来建立学科之间的响应模型，以此来减少每次迭代时所用的大量计算时间。

The analytic studies of the MITA procedure based on dynamics and the function of thermo-diffuse and thermo-conduction combine these three physic field systematically. Compared with situation function with thermo-balance method, the analytic studies based on dynamics have less parameters approximation, and more precision. Meanwhile, the discipline of the microwave energy absorbed by tissue is should studied also.

基于动力学和热扩散、传导方程的微波热致超声波机制解析解的分析，将上述三类物理场有机地结合在了一起，与基于热平衡的状态解析分析相比，这一方法更少地对三物理场所涉及的参数进行近似，能更准确地反映微波热致超声波机制。

The research work of ADP methods is in a primary stage. The works in the dissertation will be helpful to the research of ADP and its applications, as well as its development.

近似动态规划方法的研究还处于初始阶段，本文的工作丰富了这类方法的理论和应用实现，相信将会对于其进一步研究和发展起到有益的促进作用。

This paper reviews and summarizes the progress in this field as follows: the mathematical model and the difficulty of the analytical solutions is introduced; discusses the latest progress of the numerical solutions is discussed; the finite difference method, the Godunov method, the Boltzmann method, and the KFVS method of one-dimensional dam-break problem are introduced; the TVD method, the discontinuous finite element method, the finite volume method and characteristic method of two-dimensional dam-break problem are discussed; the applicability, the advantage and the disadvantage of each method are analyzed; and the progress in the numerical calculations of flow of fluid with free surface are presented.

回顾和总结了国内外对溃坝水流演进问题的研究进展：介绍了溃坝水流的数学模型及解析解法存在的困难，进而讨论了数值解法的最新进展；论述了求解溃坝水流一维问题的有限差分法、近似黎曼解的Godunov格式法、Boltzmann法、KFVS法和二维问题的TVD格式法、间断有限元法、有限体积法、特征线法，并分析了各种方法的适用范围和优缺点，及讨论了限制函数的使用；介绍了利用自由水面追踪方法计算溃坝水流的研究进展，并根据目前存在的不足和实际工程的需要，提出了进一步研究的方向和发展趋势。

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