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As advantage of this method, at the same time of diagonalization, one can know the algebraic structure in the Hamiltonian and get the eigenstates that are revealed to be an algebraic coherent state as well as some other possible information of the corresponding physical system.

这种方法的优点是,在用代数法将哈密顿量对角化的同时,不但得出了该系统哈密顿量的代数形式,并且可以得知对应的本征态与代数相干态的关系及对应的物理系统的其他物理信息。

It is found that the confiner the electric field, the sharper the peak width. The different confined states correspond to the different oscillation modes, which can be well described by the resonant tunneling effect used in the semiconductor quantum well structures.

B:非完全约束光子量子阱结构的束缚态出现在阱光子晶体的禁带区域,并且不同束缚态对应不同的光子量子阱能级,不同的量子阱能级有不同程度的光场约束,光场约束在阱光子晶体中的越多,对应的透射极大的半峰宽越小。

In the bit-interleaved coded modulation systems with iterative decoding, a good labeling is one of the key factors that dictate the system performance. In this thesis, Extrinsic Information Transfer chart, a popular tool to analyze the convergence behavior of an iterative decoding system, is employed for the labeling design.

外来资讯转换图是一个在迭代解码系统中很好的分析解码收敛行为的工具,在位元交错调变码的解码系统中,位元对应的设计对於提升系统效能是非常重要的,藉由不同的平均位元差异数来改变讯号侦测器转换曲线的斜率,因而从中选出一个最适合外部码的位元对应方式。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函,运用泛函势算子理论,从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势,进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

The relation of the surface shape error to f-number and relevant spherical radius was achieved according to the reducing analysis model ignoring the local f-number. Two kinds of rhombic prism model are established by ZEMAX. According to the simulation results from ZEMAX, the correctness and limitation of the former methods are proved and analyzed. The results are used to analyze the effect of the surface shape error of the rhombic prism on parallelism of the emergent beam. The assignation plan of the surface shape error for each working surface is presented.

根据忽略局部光圈数的简化分析模型,获得面形误差对应光圈数与相关球面半径的关系,通过几何处理方法,求得一定面形误差对应的球面半径与平面倾角的关系,将斜方棱镜的工作面倾斜一定角度,运用折射定理,将具体面形误差转化为相应平面的倾斜角度,得到出射光相对于理想光轴的倾斜角度及其关系式,并在ZEMAX中建立斜方棱镜的两种模型。

Chapter 3 is arranged in the following sequence to acquire the refractive index of the Iceland crystal for different values of the wavelength and the temperature.

在可见光区将四组不同的波长和对应的折射率代入常数表达式中,然后通过重复的迭代得到最佳的常数值;使用线形插值的办法得到了不同波长的折射率温度系数,从而可得出不同温度的 S el line i e r方程常数值,这样可以很容易求出各个温度下各波长所对应的折射率值。

Then through dynamical analysis, every instantaneous acceleration distributing of slope under dynamical earthquake can be got too. According to this result, adding earthquake force to structure by way of inertial force, this paper analyses the slope stabilization by using FEM strength reduction method and gains every instantaneous safety factor and its corresponding slide. Curves of safety factors versus duration can be made by curvefitting. By safety factors versus duration curves and slides, we can value structure's quakeproof stabilization and point its slide out. By these principles, programs of FEM stabilization analysis for each moment are organized.

首先通过三维非线性有限元静力分析得到动力分析的初始应力,再进行动力分析得出边坡在动力作用下每一瞬时的加速度分布,根据每一瞬时的加速度分布的结果,将地震作用力作为惯性力加在结构上,用有限元强度折减法进行边坡稳定分析,得出在地震动力作用下每一瞬时的安全系数及对应滑裂面,拟合可得到一条安全系数随时间变化的曲线,根据这条安全系数时程曲线及滑裂面,综合得出结构的抗震稳定安全系数及对应的滑裂面。

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射,建立了新的Ky Fan极小极大不等式;定义了带有一致结构的局部凸H-空间,利用Hausdorff局部凸H-空间的H-凸性,对于属于s-HKKM中紧的闭映射建立了新的不动点定理,利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

A one - to - one correspondence between the elements of two sets such that the result of an operation on elements of one set corresponds to the result of the analogous operation on their images in the other set.

同构的两组元素的一一对应的关系,这种关系使得对其中一组元素进行运算的结果对应于对它们在另一组中的像进行类似的运算所得的结果

The results showed that both LIR and LIR/aromatic oil could improve the processibility of NR/BR blend,and the plasticizing effect of the latter was more significant than that of LIR or aromatic oil alone resulting in lower compound viscosity,energy consumption and processing cost;and the NR/BR vulcanizate with LIR/aromatic oil possessed good physical properties and better dispersion of carbon black.

结果表明,LIR和LIR/芳烃油并用体系均能有效改善NR/BR混炼胶的加工性能,且后者的增塑效果较LIR或芳烃油单用时更为显著,其对应的混炼胶粘度较小,工艺能耗和成本较低;LIR/芳烃油并用体系对应的NR/BR硫化胶性能良好,炭黑在其中的分散性也较好。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。