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The rate of fall is dependent on the continuity of the scale function in time domain. Furthermore, it relates with the multiplicity of zero point at ω=π of the amplitude spectrum of the low pass filter. The distribution of zero points was investigated thoroughly. From the above statement, the dominant interval is deduced to be [0, 2π].

衰减性取决于尺度函数的连续性，进一步它与低通滤波器在ω＝π处零点重数有关；详细讨论了零点的分布及其重数；由零点的分布和衰减性推出尺度函数的幅值谱主导区间为[0，2π]；ω＝0处极大值性态与低通滤波器在该处性态相同。

The controller makes the closed-loop systems internally stable and minimizes the H2 norm of the transfer matrix Tzw from w to z. Two Riccati formulae based on 8 operator is deduced. The H2 problems for continuous time systems, Z operator models and 8 operator models are investigated respectively.The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper.

采用Riccati方程处理方法讨论了基于Delta算子描述下的离散系统存在输出反馈控制器的问题，得到了两个基于Delta算子的Riccati方程，设计了Delta域的输出反馈控制器，使得闭环系统内稳定，且满足从w到z的传递矩阵T_的H_2范数最小，设计了基于Delta算子描述下的离散系统的最优控制器，并与S域和Z域的H_2控制器进行了比较。

According to the hypothesis of continuum, a tube with the corner strengthened is gained to make an equal of the frame-tube. B3-spline functions and parabola functions are applied to simulate the displacement functions of the frame-tube. The system of equations about the undetermined coefficients of displacement functions is deduced by using energy-variational principle, by solving which the displacement of the frame-tube is gained. Then the internal forces in the columns and beams of the former frame-tube are obtained according to the principles of elasticity mechanics.

根据连续化假设将框筒等效为角部加强筒体，将三次样条函数与抛物线函数结合假定框筒的位移函数，运用能量变分原理推导出了关于位移函数待定系数的方程组，解得位移函数待定系数进而解得框筒的位移，再根据弹性力学原理确定原框筒中梁柱的内力。

Based on the new penal function, OC algorithm are deduced and used for the topology optimization problem of continuum structure.

基于新的惩罚函数，推导并应用了适用于大型结构、多设计变量的准则法。

In this paper, self-orthogonali zation was used to speed up the convergence rate of transform domain adaptive le ast-mean-square algorithm, and the analytical expression of system bit e rror rate was deduced.

但由于必须通过迭代收敛达到稳态解，自适应滤波算法不能锁定快变干扰。文中利用正交加速算法提高最小均方误差算法的收敛速度，推导出了使用变换域自正交加速算法时系统误码率的解析表达式。

Based on previous study,the authors deduced the three-dimensional relationship between micro-contact force and the macro-stress on convex polyhedron.

在前人研究的基础上，针对凸多面体相互接触的性质，推导了三维状态下的微观接触力和宏观应力的关系，并应用于结构性土的研究中。

As a result, coordinate transformation of a line and linear transformation equations are deduced.

为此给出了基於对偶矢量表示的坐标变换和线性变换公式。

Based on the theories of Differential Geometry and Geodesy,algorithms and formulas for direct and inverse solution of geodetic problem in the new form of geodetic coordinate system on the ellipsoidal surface are deduced in this paper.

基于地球椭球面上所构建的新型大地坐标系，推导出用新大地纵横坐标表述的大地主题解算公式，并研制了相应的正反解算法。

This article analyzes the difference of the temperature between rudder bear installation and vessel sailing area;In this point of view, determination of the interference is deduced when coppery rudder bush is installed .

文章从舵承安装温度与船舶航区温度的差异这一角度入手进行了分析，推导出了铜质舵承安装过盈量的确定方法。

According to the elastic-plastic theory, the calculation method of tangential stress , radial stress of expansion casing both in elastic deformation area and in plastic deformation area is deduced and the minimum critical load between expansion core and casing was determined.

根据弹塑性的理论，推导了膨胀套管在弹性变形区和塑性变形区的周向应力和径向应力计算模型，确定了膨胀套管膨胀时在膨胀芯头与套管之间所需的最小接触载荷。

So it was last week in Selma , alabama.

上星期在亚拉巴马州塞尔马市发生的事件也是这样一个转折点。

The group also spearheads various social programs in China.

该组织还带头参与中国的各种社会活动。