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K. H. Roscoe and his fellows of Cambridge University established the first elastoplastic model of soils which is based on classical plastic theory in 1963. However, due to the complexity of soils, the models that based on the classical metal constitutive theory or its modification accounting on the nature of soils have still much limitation when used to express the soil mechanical behavior. For example, the Duncan-Chang's model based on the generalized Hooke's law can not express the dilatancy of the soils. The uniqueness assumption of the direction of the incremental plastic strain in the classical plastic constitutive theory is not in agreement with some soil experiments.

但由于土的复杂性，目前以传统的本构理论为基础考虑土的一些特性而建立的模型在反映土体的力学特性上还存在很大的局限性，如建立于广义虎克定律基础上的Duncan—Chang模型不能反映土的剪胀性，传统的塑性本构理论中认为塑性应变增量方向具有唯一性的假设与一些土体的试验结果不符合。

The simplified Phillips' differential equation of tension which derived from Hooke's law on the assumption of uniform strip section is conventionally used up to date for the computation of cold tandem rolling.

目前常用的冷连轧张力微分方程dt=E/Lν_b(i+1-ν_dτ是假设机架间的带钢具有均匀的断面，引用等断面直杆虎克定律导出的，故为等断面张力微分方程。

The rigid-plastic assumption simplifies the 1-D Burgers model and thus simplifies the calculation of plastic deformation.Such simplified 1-D Burgers model is extended to 3-D case as the usual treatment like 3-D Hooke's law.

利用刚塑性假定简化一维Burgers模型，从而简化了沥青路面的永久变形计算，据此假定将一维的沥青混合料Burgers模型推广至三维Burgers模型，类似于三维虎克定律。

One is a summary of recent research and the other is a model study in which various kinds of models based on Hotelling duopoly are established to analyze the roles played by model's assumption.

一是对产品差异化理论研究现状的归纳和分析，二是对产品差异化问题的进一步深入研究。

All these are based on the analysis of using Hotelling spatial differentiation model and the equilibrium theory of the game theory, and on the assumption that there is no collusion and monopoly between sellers.

但是，对信息技术投资力度大并使消费者搜索成本降低得更多的销售商，则可扩大市场占有率和提高市场竞争力，因此销售商具有投资激励。

He made the assumption that the electronic charge is numerically equal to the charge on a hydrogen ion.

他假定电子的电荷数与一氢离子的电荷数相等。

1He made the assumption that the electronic charge is numerically equal to the charge on a hydrogen ion .

他假设电子的电荷数与一个氢离子的电荷数相等。

For that aspect, a rather complete theory exists under a certain assumption of structural stability, called hyperbolicity.

对于这一方面，在某种被称为双曲性的结构稳定性的假设下存在着相当完善的理论。

In this thesis,the voltage stability boundary is the combined boundary which correspond to Saddle-node bifurcations and Hopf bifurcations.The closest Hopf bifurcation point is found through the proposed iterative method under the assumption that the Hopf hypersurface is continuous and convex.

因此在本论文中，在多维参数空间下，将稳定边界推广到鞍点和Hopf分岔点构成的混合稳定边界，探索性寻求Hopf分岔超平面的法向量，采用迭代算法求取系统发生最近振荡型电压失稳的负荷增长方式。

The traditional unitary space-time modulation system is generally based on the assumption of independent and identically distributed channel coefficients. However, this condition is hard to satisfy in practice, the spatial correlation among antennas deteriorates the performance.

传统的酉空时系统，通常假设信道衰落系数之间相互独立，这个条件在实际系统中却很难满足，天线之间的空间相关性造成系统性能恶化。

Mr. Putin said there were signs of genocide against the Ossetian people.

普京说，有迹象表明对南奥塞梯人进行了种族清洗。

What I'm trying to say, Tristan is...

特瑞斯坦。我想说的是。