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And we show the form of the reduced density matrix master equation and its solution at first .Then we derive the solutions of Ohmic spectrum and Laurent series spectra master equations. Finally, we make analysis of the solutions of stochastic process and their coefficients from the cumulants, late time uncertainty function and linear entropy

首先展示了有关约化密度矩阵主方程的形式和解的形式；接着推导出欧姆谱和分洛朗级数谱这两个随机过程主方程的解；最后从累积量，延时不确定关系和线性熵等方面来研究随机过程主方程的解及其系数特点。

By transforming the interlace series type linear differential equation with coefficients containing negative second order power function and arrangement number into the linear differential equation of successive integral,the theory and method for the general solution of this kind of equation are determined.

通过把系数含有负二次幂函数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程，找出了求这类方程通解的方法与理论，所得定理给出了严格的证明，并通过实例介绍了它的应用

This paper introduced the differentiator series method to solve the group of linear ordinary differential equation with free term fi∈ eλ t pmλ∈ z,pm(t is polynomial of degree m first,the theories of solution were introduced,next,examples.

用微分算子级数法求解自由项为fi∈eλtpm的线性微分方程组（λ∈Z，pm是t的m次多顶式）。

For the compressible materials, in order to satisfy the higher-order compatibility equation of the rate of deformation in the centered fan sector, which is a quite difficult problem unresolved in the previous studies, a particular term must be added to the expansions of the stress components in the regular logarithmic power series adopted by many researchers before. A higher-order near tip field with tangential velocity jump ahead of the crack tip is derived first, of which the dominant terms are the solution widely accepted.

对可压缩材料，本文首先采用非规则的对数幂级数渐近展开方法，克服了过去研究中存在的中心扇形区变形率协调方程的高次渐近式不能被满足的困难，并得到了一个切向速度在裂尖前方存在间断的高阶渐近解，该解的主项就是目前被广泛接受的关于可压缩材料的尖端场解。

Based on the elastic theory of large deflection and by taking into account the variation of the axial force and its effects on bending deformation of the drillstring in vertical section,the vibration of the drillstring induced by fluctuating weight-on-bit is described by a parametrically excited system.A Mathieu equation describing the system is established by Galerkin Method.By extending the solution into a Fourier series,the curves of dynamic bifurcation values and the dynamically unstable regions surrounded by the curves are presented.

基于弹性大变形理论，考虑到轴力沿钻柱轴线的变化及其对钻柱弯曲变形的影响等因素，将受自重作用的铅垂井段钻柱在波动钻压激励下的振动转化为一个参数激励系统，用Galerkin方法首次得到了描述此系统的Mathieu方程，并通过将方程的解展成富里叶级数的方法，得到了该振动系统的动力分岔值曲线及其所包围的动力不稳定区。

Hero geniality his companions face this spectacular sight on the isolated island, have to produce a series can not the problem(we don't also only have while discovering that they are weapons astonishment) of its solution:BE who molded these megalith portraits?

罗杰温和他的同伴们面对这孤岛上的奇观，不能不产生一系列不得其解的问题(我们在发现它们是武器时不也只有惊奇吗)：是谁塑造了这些巨石人像？

In order to find a kind of low-cost and high-capability catalyst for methane combustion, a series of CeO_2-ZrO_2-Al_2O_3 solid solution, in which the content of Ce_0.67Zr_0.33O_2 and Al_2O_3 were different, were prepared by co-precipitation method.

近年来，非贵金属氧化物甲烷燃烧催化剂的研究虽然十分活跃，但对铁基氧化物催化剂研究不多，其主要原因是铁基氧化物催化剂对甲烷燃烧的催化活性较差。

Aortic perfusion of a fixative solution. Coronal sections were cut at 25 μm thickness on a freezing microtome and up to five series of adjacent sections were collected for nNOS immunohistochemical processing using streptavidin????

应用Morris水迷宫测试系统检测大鼠空间参考记忆获得及维持的变化；②海马的nNOS免疫组化研究：PSD 24，48和72 h后，立即取脑、固定、行冰冻切片（片厚25 μm）、SABC法免疫组化染色、光镜下进行观察分析、摄像。

Based on this, a combined method of simulation is dedicated as a basic tool for the probability analysis of Runyang bridge. The combined simulation method transfers the original complex question of probability analysis into the solution of a series of multinomial, making the efficiency improved significantly so that the precision of analysis is also increased greatly.

联合算法的应用，将大跨桥梁可靠度分析这样一个具有复杂物理意义的问题转化为一系列失效方程式的求解问题，提高了求解的效率，而求解效率的提高同时也保证了分析的精度。

In the solution process, the basis vectors can be obtained from the matrix perturbation or the Neumann series, and then the Epsilon-algorithm was used to obtain the approximate eigenvectors.

在求解过程中，利用Neumann级数产生基向量，然后用Epsilon算法求出近似特征向量，最后用Rayleigh商分析，求出了修改后结构的近似特征值和特征向量。

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。