函数的周期

Periodic signals which are neither absolutely integrable nor square integrable over an infinite interval, can be considered to have Fourier transforms if impulse functions are permitted in the transform.

若在变换过程中可以使用冲激函数，那么，在一个无限区间内，既不绝对可积，又不具备平方可积的周期信号也可以认为具有傅立叶级数。

PartⅡ,Applying the developed and extended direct algebraic methods that presented in recent years and based on the 2+1 dimensional variable separation solutions,abundant Jacobi elliptic function doubly periodic waves and periodic propagating wave patterns for many 2+1 dimensional nonlinear wave models are obtained,and in long wave limit solitary waves are derived as well.

第二部分，本文拓展和推广(来源：a2AB7aC论文网www.abclunwen.com)了新近发展的几种典型的直接代数方法和基于分离变量解的间接方法，获得多个2+1维非线性波动模型丰富的雅克比椭圆函数双周期波解和周期传播波模式，并得到长波极限情形下存在的非线性孤立波。

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function .

利用齐次平衡原则和F-展开法，求出了一个五阶变系数KdV-like方程的一些用Jacobi 椭圆函数表示的双周期解。并且在极限的情况下，得到了该方程的孤立波解和三角函数表示的周期波解

Furthermore, when the system is a periodic system, sufficient conditions are obtained that guarantee the existence, uniqueness and global attractivity of the positive periodic solution by applying the Brouwer fixed theorem and the method of constructing Liapunov function.

利用比较原理给出了系统一致持久性的充分条件；当系统是周期系统时，应用Brouwer不动点原理和构造Liapunov函数的方法给出其存在惟一且全局吸引的ω-周期正解的充分条件，并通过实例验证了文中定理条件的可实现性。

For the one-dimensional p-Laplacian with indefinite weights, four sequences of periodic and anti-periodic eigenvalues are given by introducing the rotation number function, and these eigenvalues are the endpoints of the preimage intervals of the rotation number function at nonnegative integers.

本文以带变号权函数和带变号势函数的一维p-Laplacian为基本模型，系统地阐述了特征值的旋转数方法、带正权Dirichlet特征值的最佳估计、特征值在正则和奇异渐近半线性方程的可解性中的应用、Fucik谱的旋转数方法以及Fucik谱在周期解的扭转性和多解性中的应用。

In chapter three, it assumes that each retailer and distribution center implement periodic review and the same ordering policies, each retailers' demand is independent identical distributed random variables during the different periods, the lead-time is not completely same constants, and the k-fold convolution of the demand distribution functions is closed.

第三章，假设每个零售商和分销中心实行周期盘点，并采用相同的订货策略，多个零售商的需求在不同的周期是相互独立的随机变量，两级分销系统内的交货时间是不全相同的常量，零售商需求的分布函数之k重卷积是封闭的。

A novel algorithm for InSAR SLC coregistration is proposed. The averaged periodogram is used as evaluation function of registration in the new algorithm and the estimation variance of evaluation function is reduced by separating the data into numbers of subsections and averaging them, thus the accuracy and reliability of registration is improved.

提出了一种新的干涉合成孔径雷达复图像配准算法，新算法使用干涉相位图的平均周期图作为配准的评价测度函数，采用数据分段求平均的方法降低了评价函数的估计方差，从而提高了配准的精度与可靠性。

Secondly, the existence of chaos in a special class of discrete-time neural network models with sinusoidal activation function in the sense of Devaney with some parameters of the systems entering some regions are rigorously presented by means of anti-integrable limit method. Whats more, period-doubling bifurcation and saddle-node bifurcation in the neuron model are studied.

其次，利用反向可积极限方法证明了一类周期输入输出函数的离散神经网络模型在参数达到一定范围时产生Devaney意义下的混沌，并讨论了其一维情形的神经元模型出现倍周期分支和鞍-结点分支的情况。

Based on periodic Daubechies wavelet coefficients feature of the description function, the global matching problem and the local matching problem of the contour curve are discussed.

摘要利用形心点和Aggarwal的形殊点，定义了轮廓形状的描述函数和起始点，并运用描述函数的Daubechies周期小波系数特征，讨论了闭合轮廓曲线的整体匹配和局部匹配问题。

A central bias function and an arithmetic of pitch detection based on central bias function were proposed for the transition sound, which cannot be detected by the traditional arithmetic of pitch calculation.

针对传统的基音估计算法不能适用于过渡音的问题，提出中心偏离函数及基于中心偏离函数的基音周期检测算法。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了