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Based on the Hamiltonian of the interaction system, which includes the interaction between two two-level atoms and a single mode vacuum field, the state vector and the density matrix of the system, and the reduced-density matrices of the subsystems are obtained by solving its Schrodinger equation, and the basic model of this problem is established.

从两个二能级原子与单模真空场相互作用系统的哈密顿量出发，通过解Schrodinger方程，得到了系统的态矢、密度矩阵和子系统的约化密度矩阵，建立了本文的工作模型。第二章介绍了量子熵与量子纠缠的发展史，解释了量子熵与量子纠缠的关系，阐述了量子熵与量子纠缠的基本理论。第三章研究了两个二能级原子与单模真空场相互作用系统中的量子纠缠。

For solving Multi-objective and multi-restriction optimization problem , this paper used non-dominated ranking method, elitist preserve strategy, niche approaches, and presented an individual vector module adaptive function as wash out rule, then an improved Pareto multi-objective optimization with genetic algorithm was found.

为解决含多个目标和多约束的优化问题，本文结合了非支配排序思想、精英保留策略，小生境技术，并对传统的小生境技术中基于个体适应度的淘汰技术进行改进，提出了一种向量模适应度函数来作为淘汰准则，得到一种改进的Pareto遗传多目标优化算法。

These appear first in vectorial mechanics where they are proved and applied to problem solving.

这些在他们被证明的vectorial 结构并且适用于的问题解决里首先出现。

This study may be of importance in solving the long-lasting problem of Japanese voiced and voiceless plosives for Taiwanese learners.

本系统的建构可望对解决台湾人日语学习者在学习有声及无声破裂音时带来正面的影响。

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

Owing to its fine biocompatibility and degradability , more and more pieces of research wark have been carried out in bone tissue engineering ,and because of its special characteristics , calcium polyphosphate bioceramic is regarded as a promising material for solving the problem of how to match the degradation velocity of scaffold with the velocity of cell growth .

骨组织工程中细胞生长速率与材料的降解速率相匹配一直是有待解决的问题，聚磷酸钙由于具有独特的结构及降解性能，因此有望解决这个问题。

Owing to its fine biocompatibility and degradability , more and more pieces of research wark have been carried out in bone tissue englneering ,and because of its special characteristics , calcium polyphosphate bioceramic is regarded as a promising material for solving the problem of how to match the degradation velocity of scaffold with the velocity of cell growth .

骨组织工程中细胞生长速率与材料的降解速率相匹配一直是有待解决的问题，聚磷酸钙由于具有独特的结构及降解性能，因此有望解决这个问题。

Come to us with a problem only if you want help solving it. That is wha..

只有在你需要偶们帮助解决问题的时候再来找偶们。

Finally a comparison of optimization results between complex method and genetic algorithm is carried out, which shows the value of objective function ha s decreased 6.6% under GA. This will help decrease the slippage of steering whee l and wear extent of tyre. At the same time, it also verifies the feasibility an d superiority of genetic algorithm in solving the nonlinear optimization problem s with many restraints and variables.

计算结果表明：与复合形法相比，遗传算法使目标函数值减少了6.6%，取得了较好的优化效果，从而更有利于减小转向车轮的滑移量和轮胎的磨损量，同时也验证了遗传算法解决多约束、多变量类型优化问题的可行性和优越性。

Whitehead, in his Adventures of Ideas, has the answer which comes near to solving the problem.

怀赫德在他的著作《理念的奇遇》一书中所提出的答案，近乎可以解决该问题。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。