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As the sensitivity matrix got by numerical differentiation in elastoplastic problem can not ensure the efficiency and stability in back analysis computation, an integration formula of sensitivity matrix is presented, in which sensitivity matrix can be obtained analytically.

针对弹塑性反分析差分敏度矩阵计算的效率和稳定性难以保证的情况，通过对弹塑性反分析敏度矩阵计算的全面分析和探讨，给出了弹塑性状态下反分析敏度矩阵的积分表达式。

Such a critique is therefore a preparation, so far as may be possible, for an organon; and should this turn out not to be possible, then at least for a canon, according to which, in due course, the complete system of the philosophy of pure reason -- be it in extension or merely in limitation of its knowledge -- may be carried into execution, analytically as well as synthetically.

这样的批判只是一个准备，为了可能的纯粹理性的原则全体或者一些规则。通过这个学科，在并行的过程中，纯粹理性的哲学系统真正的动起来，通过拓展或者限制知识的方式，或者分析或者归纳得来运作起来。

B26 Such a critique is consequently, as far as possible, a preparation for an organon; and if this new organon should be found to fail, at least for a canon of pure reason, according to which the complete system of the philosophy of pure reason, whether it extend or limit the bounds of that reason, might one day be set forth both analytically and synthetically.

Smith 因此，这样一种批判就是尽可能为这类知识的一种工具论作准备的，假如这一点无法做到的话，至少是为这类知识的一种法规作准备的，按照这种法规，或许有一天纯粹理性的完备的哲学体系会有可能既是分析地也是综合地展示出来，而不管其内容是扩展纯粹理性的知识还是仅仅对之作出限制。

Then the rigorous solutions for soil layer vibration are analytically derived by virtue of the separation of variables. By means of the orthogonal expansion technique, the coupling system solutions are finally obtained.

在这一背景下，本文考虑了饱和土的三维波动效应，采用解析方法对三维轴对称成层饱和土中完整桩及各类变阻抗桩的纵向耦合振动理论进行系统研究。

Secondly, by establishing a discrete time Markov model with spatial reuse for a MANET, we analyze the performance of the network under the AODV routing protocol. The average route length and the probability to communicate within a limited hop distance are obtained. Several performance parameters of the route discovery and route maintain process are analytically studied, such as the probability generating function and the expectation of the flooding distabce. the probability that a route is discovered by a query packet with a "hop limit", the probability that a request packet finds a valid route, the average time needed to discover a valid route and the cost to successfully route a data packet to its destination. Furthermore, we present a concrete example based on the transmitter characteristic of directional antennas and obtain the corresponding results.

建立了移动自组网络空间可重用的离散时间马氏链模型，得到了AODV路由协议下网络任意两节点间的平均路由长度、在指定"跳限"要求下通信的概率；对随选型路由协议下路由发现和路由维护过程中若干网络性能参数进行了解析分析，如网络中任意两节点问的泛洪距离的概率母函数及其期望、限定泛洪步数时成功寻路的概率、发现一条有效路由的平均时间、成功路由的代价等；并基于定向天线的发射特征给出了一个具体实例，分析计算了相应的网络性能参数。

Using Fourier analysis, we analytically obtain resonance conditions of Rabi oscillation and Rabi frequency in the weak-coupling limit.

借助Fourier分析，得到了在弱耦合极限下Rabi振荡及Rabi频率的解析解；这些结果均由电子的数值演化所证实。

The distance between the reactive sensor node and the target node is estimated by using the value of RSSI, since the strength of radiation signal and the square of distance is inversely proportional. We proposed a method to derive the position of the target node based on the theory of radical center. With data from three reactive nodes, the position of target node can be analytically estimated.

我们以讯号强度指标来推估节点与被追踪物件的距离，并利用圆之根轴的几何特性，提出一个位置的估算方法，可以简单地利用三个感测节点所回传的资讯计算出被追踪物件的位置，所提出的方法即使在距离值有误差的情况下，依然能够估算出被追踪物件的唯一位置。

In this note, a new approach is presented which calculates analytically the experiment estimator distribution via a Fourier transform, using the likelihood ratio as an ordering estimator. The analytic approach enjoys an enormous speed advantage over the toy Monte Carlo method, making it possible to quickly and precisely calculate confidence level results.

本文则介绍一种新的计算方法，通过定义似然函数比为实验的估计值，并应用Fourier变换，用解析的方法计算出置信度，与toy Monte Carlo方法相比，解析方法可极大地提高计算的速度和精度。

The scheme is directly obtained by the time integration of the fluid flows. The new contribution of this part is to show analytically that the singularity is removable and the momentum vanishes at the center.

本部分的主要贡献在于理论上证明了对称中心处流体的速度为零以及源项奇异性的可去性。

By using Fourier analysis, we analytically obtain the resonance condition of Rabi oscillations and the Rabi frequency in the weak-coupling limit; and those results are verified by the numerical evolution results of electrons.

借助Fourier分析，我们得到了弱带间耦合情况下的Rabi振荡共振条件以及Rabi频率的近似解析解，这些结果均由数值演化给出验证。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。