有限函数

The finite-gain stability of the controller was proved under the assumption that the kernel function was local Lipschitz in this open-loop inverse control system. The sufficient condition for that Gaussian kernel function to the local Lipschitz of either variable was given. The stability of the whole system was also proved under some proper assumptions.

针对此开环逆控制系统，在核函数为局部Lipschitz的前提下，证明了控制器是有限增益稳定的，并给出Gaussian核函数对任一变量的局部Lipschitz性的充分条件，在一定合理的假设下给出了控制系统的稳定性结论。

This kind of problems is first changed into the model of perceptrons in neural theory, Under the assumption of a finite set of social states. a sufficient and necessary condition for single-valued choice functions to be sum-fuzzy implementable is obtained: a geometric characterization is also given: an efficient algorithm for the sumfuzzy implementation of single-valued choice func...

本文在有限社会状态集合的情形，给出了单值选择函数是和型Fuzzy可实现的一个充要条件；并给出了相关几何描述结论；借助于感知器的学习算法规则给出了单值选择函数的和型Fuzzy实现的有效算法；最后还给出了一个具体例子。

Finite outer scale ; turbulence power spectrum ; phase structure function ; slope correlation function

有限外尺度；湍流功率谱；相位结构函数；斜率相关函数

Applied widely in the data encryption, pseudorandom sequences can be generated not only by hardware but also by trace function, and it is found that the sequences generated by trace function are much better than those generated by hardware, especially in the aspects of correlation properties.

摘要伪随机序列被广泛应用于数据加密，它既能利用硬件产生，也可以利用有限域上的迹函数来生成，并且由后者生成的序列的密码特性远远优于前者，特别是在相关函数方面更是如此。

It is a usual presumption that distribution function can decide characteristic function and characteristic function can also decide the distribution function by the uniqueness theorem.

但通过本文引入的反例，我们可以知道，唯一性定理在有限区间上不成立，不过在无穷限区间上我们仍可以说，分布函数和特征函数是一一对应的。

In this paper, a Multiple Ant Colony based Routing Algorithm is proposed for routing optimization designing, in which the communication messages sent by nodes for searching the optimal route are treated as ants with limited life-span. Through the ants' movement and Populations' cooperation, the main routing path and multiple candidate routing paths can be distributedly obtained.

提出了一种基于多蚁群无线传感器网络路由算法，采用多种群并行搜索，并在种群中采用基于目标函数值得启发式信息素分配策略和根据目标函数自动调整蚂蚁搜索路径，利用蚁群的分布式特点，通过有限寿命蚂蚁的协作在源节点与目的节点之间的运动获取主路径和备选路径，然后根据节点信息适时更新路由表。

The multiresolution time-domain algorithm based on the scaling function of the Daubechies wavelet is introduced, and the perfectly matched layer absorbing boundary condition for the algorithm is deduced. In order to overcome the difficulties due to the nonlocalized property of the MRTD basis functions, the pure scattered-field formulation is adopted. The method presented is applied to the scattering analysis of multiple conducting objects, and the numerical results are compared with those by the traditional finite-difference time-domain method. It is shown that the computational resource is reduced drastically without sacrificing much accuracy.

对基于Daubechies小波尺度函数的时域多分辨分析算法进行了详细论述，推导了MRTD算法的完全匹配层吸收边界条件，为克服传统MRTD方法中基函数存在着非局部性的缺点，在源的加入上采用了纯散射场方法；并应用该算法对多目标的电磁散射特性进行了分析，数值结果表明，MRTD算法与传统的时域有限差分法结果相吻合，大大节约了计算资源。

Maitra and Sarkar provided a recursive construction method to construct m-resilient Boolean functions of n variables with high nonlinearity and al...

Maitra和Sarkar于1999年提出了一种递归构造方法，构造出一类非线性度很高的n元m阶n-m-1次的弹性函数，但是此方法所能构造的弹性函数的数量有限。

For 2p〓-periodic binary sequences, a new weight function, according to the above presented vector expression of the linear complexity, is defined. By analyzing the weight of the product of a special kind polynomial in finite field, the upper and lower bounds on minimum error, expressed by the here denned weight of the linear complexity, are given in different cases.

对于2p〓-周期二元序列，利用所给出的线性复杂度的向量表示定义了一种新的重量函数，通过研究有限域上一类特殊多项式乘积的重量，分情况给出了用线性复杂度的重量表示的最小错误minerror的上界和下界，这里的重量是由我们所定义的重量函数确定的。

When the reconstructed wind approachs the original one, it means the partitioning process is successful and the calculated stream function and velocity potential is accurate.

目前，对风场进行有效分解的方法是对有限区域里的流函数和速度势进行求解，然后对流函数和速度势求导得到对应的无辐散风与无旋转风。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。