零函数

Analytical expressions for electromagnetic fields of a vertical or horizontal electric dipole over the finitely conducting plane are derived subject to the boundary conditions; Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series of spherical Hankel function.

在此边界条件下，推导出有限导电平面上垂直和水平电偶极子电磁场的解析表达式；赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

By means of generalized Lyapunov function and linear matrix inequality,the asymptotical stability with zero solution is studied for the system,and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint .

针对非线性离散广义系统研究了状态反馈H∞控制器的设计问题，利用广义Lyapunov函数和线性矩阵不等式，首先对系统的零解渐近稳定问题进行了研究，并在此基础上给出了系统的零解渐近稳定且具有H∞范数约束的充分条件，之后设计了状态反馈H∞控制器，使闭环系统具有同样的性能，最后给出了数值算例说明本文结论的有效性和可行性

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数，而其Fourier系数可通过协方差函数的逆变换得到的特性，我们对于零均值的近周期相关序列构造了类似于周期图的函数，并构造其经验小波系数，利用频率处于此函数的尖点的特性，以及此性质在经验小波系数中的反映，来确定频率的个数和位置，所有的估计量都是强相合的，此外，数值模拟的结果表明，我们的方法是有效的。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of gather zero measure, it discusses the relation between almost continuous everywhere and existent of limit, and gets that the almost continuous everywhere is equal to the almost limit existence everywhere in the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，即可积函数中几乎处处连续与极限的几乎处处存在是等价的，得出了比正规函数更加广泛的统一条件，得出了有界变差函数是可积函数的结论。

In this paper we get the following results: Let be a meromorphic function in domain G which is not identically zero, a1, a2,…,ak be holomorphic function in domain G, F={f} be a family of meromorphic functions in G.

本文获得如下结果：设为区域G内一不恒为零的亚纯函数，a1，a2，…，ak为区域G内的全纯函数，F={f}为G内一亚纯函数族。

To overcome the false result with piecewise constant regions produced by the binary zero-crossing decision process, a hyperbolic tangent function is used to substitute the symbol function, governing softly the varieties of gray levels of pixels beside the zero-crossing of edges.

为了克服二值的零交叉决策过程导致的虚假的分片常数图像，利用双曲正切函数代替符号函数，柔和地控制边缘的零交叉点两侧像素的灰度值变化。

With four continuity of non-additive set function and the relation of four convergences of the measurable function sequence,four forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are discussed,respectively.

在经典测度论中，Lebesgue定理刻画了实值可测函数序列几乎处处收敛和依测度收敛之间的关系。1984~1986年，王震源[9]先后提出了较弱的"自连续"、"零可加"、"伪自连续"、"伪零可加"等重要概念，讨论了模糊测度空间上单值可测函数序列各种收敛之间的关系，推广了经典测度论中著名的Lebesgue定理以及其他定理。

As a result of conservative perturbations, the first order Melnikov function for a perturbed system is identically equal to zero, so the second order Melnikov function has to be considered. The perturbation parameters which make no use in the first order Melnikov function may be important in the second order Melnikov function.

此时一阶Melnikov函数恒等于零，必须考虑二阶Melnikov函数，而在一阶Melnikov函数中不起作用的扰动参数在二阶Melnikov函数中却起着非常重要的作用，因此扰动部分极为复杂。

The nature of the acceleration unit-impulse response function of unbounded medium tending to vary linearly is proved by means of asymptotic analysis. Thus, the acceleration unit-impulse response function can be regarded as the summation of a linear function and a residual part which converges to zero. Based on this decomposition, two FE-SBFE coupling procedures are presented based on system realization and truncation integral technique respectively.

本文系统研究了相互作用力-运动关系的位移表达、速度表达和加速度表达，通过比较位移、速度和加速度单位脉冲响应函数的SBFE求解过程，确定采用相互作用力的加速度表达；通过渐近分析证明了无限地基加速度单位脉冲响应函数具有随时间延长而趋于线性变化的性质；利用这一性质将加速度单位脉冲响应函数分解为一个线性函数和一个衰减到零的残余函数的和，以此为起点发展出两种FE-SBFE时域耦合方法：基于系统实现的FE-SBFE时域耦合方法和基于截断卷积的FE-SBFE时域耦合方法。

From theoretical analyses and calculations, it has been confirmed that the local strains around Cr〓 in SrTiO〓: Cr〓 are about twice the bulk ones. It is found that the change of Dq〓 with pressure makes main contribution to PS of ground-state g factor of SrTiO〓: Cr〓. It is the admixtures of basic wave functions that cause the strain-induced splittings of t〓E and t〓A〓 levels of SrTiO〓: Cr〓. It is found that there are non-vanishing matrix elements of operators C , C and C between wave functions with positive M〓 and those with negative M〓 and the shortcomings in previous literature have been overcome.

通过微观理论分析与计算，证实了SrTiO〓：Cr〓中Cr〓周围的局域应变大约为整体应变的两倍；阐明了基态g因子随压力的变化主要来源于Dq〓的变化；发现波函数的混合对单轴压力导致的SrTiO〓：Cr〓t〓E和t〓A〓态的分裂是至关重要的；C、C和C算符在Ms为正的波函数与M〓为负的波函数之间的矩阵元不为零，纠正了过去文献对此的错误处理。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。