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At firstly assuming shear modulus is linear along depth, introducing differentiating operator of structure and using the stochastic vibration theory of continuative linear system, this paper studies the dynamic response problem of non-homogenize site soil.

首先假定土层的剪切模量随深度线性变化，引入结构微分算子，利用连续线性系统的随机振动理论，研究了非均匀场地土层地震的动力反应问题。

Assuming that linear elastic continuums will deform following the elastic rules of Hook and taking the transformation of linear elastic organs in medical images as that of continuity, Finite element method is used to perform motion analysis, which is non-rigid algorithm based motion.

我们采用基于非刚体的有限元方法对超声心动图像进行运动分析，其中涉及到弹性力学的引入、有限元理论的介绍、单元网格的划分、单元的集成、位移边界条件以及对实验结果的分析。

Based on the geometric nonlinear and material nonlinear of structure, the three dimension stability analysis of long span curve continuous rigid frame is performed on the base of the numerical analysis, and comparison of the linear and the non-linear is also done.

本文分别考虑结构的几何非线性和材料非线性力学特征，对高墩大跨弯连续刚构桥梁的结构稳定性进行详细的数值分析，并与线弹性的计算结果进行对比。

Following the introductory first chapter and the second chapter on linear algebra and convex analysis, the book is organized into two parts: linear programming and networks flows.

在第一章简介和第二章线性代数和凸分析之后，本书分为两部分：线性规划和网络流。

It is pointed out that optimal solution of linear programming can be represented as a sum of a convex combination of the optimal extreme point s and a nonnegatively linear combination of the optimal extreme directions.

本文指出了线性规划的最优解可表示为最优极点的凸组合和最优极方向的非负线性组合之和，确定了最优极方向存在的条件。

The discriminance methods and expression of generalized alternative optimum solutions of linear programming is given by proving that the equivalent of optimum extreme point and extreme point of optimum solution sets of linear programming and applying the theorem of convex polyhedron.

通过证明线性规划最优解集的极点与线性规划最优极点的等价性，利用凸多面体的表达定理，给出了广泛意义下线性规划无穷多最优解的判别方法及表达式。

The results from the experiments on crops of water convolvulus and flowering Chinese cabbage indicated that soil NO3-N concentration showed non-linear correlation with higher N fertilizer application rates, whereas they presented linear correlation with lower to middle N fertilization rates.

结果表明，在较大施氮量范围内，施氮量与土壤渗漏水硝态氮浓度之间呈非线性关系，但在中低施氮量时则表现为线性关系，可以应用"双速率转折点"概念评价菜园土壤硝态氮流失潜力。

The relative standard deviation of this method was 2.03%, the limit of detection was 0.006 4 mg/L, the linear correlation coefficient of the calibration curve was larger than 0.999 and the linear range was much wider.

其相对标准偏差：2.03%；检出限：0.064 6 mg/L；线性范围宽，校准曲线的线性相关系数应大于0.999等。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

In the part of vision system design, the hardware platform is composed of linear array light, cylindrical lens and linear array image sensor, then the algorithm of circle fitting method is carried on.

在视觉系统的设计中，采用线阵光源、柱面透镜和线阵图像传感器设计了视觉系统的硬件平台，并进行了圆拟合算法的分析。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。