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函数的周期

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Solvability of (0,δm),(o,m1,Am2,/m3)-interpolation problems on π-antiperiodic function and some of 2-oeriodic situation were discussed, and some fundamental problems on ;π-antiperiodic function were considered in this aspect.

讨论以π为周期的反周期函数的(0,δ~m),(0,δ~p)插值问题,(0,m_1,m_2,m_3)插值问题及部分双周期情形解的存在性,其中也包含了许多反周期函数的基本问题的讨论。

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。

The characters of linear complexity profile of periodic sequences are investigat- ed. The relation between the continued fraction expansion of rational function and its 1- inear complexity profile is established. The expression of linear complexity profite is gi-~~en and a condition estimating the randomness of a sequence is presented. By the linear complexity profile, the bound of sphere complexity is proposed. A formula to record the number of sequences with given linear complexity profile is presented.

研究了周期序列的线性复杂度曲线特性,在周期序列生成函数的连分式展开式与线性复杂度曲线之间建立联系,给出了周期序列线性复杂度曲线的表达式;给出了判断序列随机性好坏的一个条件;利用线性复杂度曲线特性给出周期序列球体复杂度的一个估计;给出了具有给定线性复杂度曲线的序列个数的一个计数公式。

We construct a family of iterative mappings, which yield cyclic windows of variant size in the dynamical plane by incorporating cosine functions and non-linear angle variables with parameters. Chaotic attractors and filled-in Julia sets in the different cyclic windows are created by establishing the coordinates of any cyclic windows and the maximal window, then clarifying the relationship of corresponding points between these cyclic windows. The respective images in different windows are continuous but with individual structures.

该算法采用余弦函数及含参的非线性角度变量构造一族使动力平面上各周期窗口的尺度变化的迭代映射;通过计算任意周期窗口和最大周期窗口得出窗口间相应点之间的非线性对应关系,并构造出各周期窗口中的混沌吸引子和充满Julia集,其图案是连续的且结构不同的;选用不同的周期窗口作为基本计算区域,使之与正方形像素矩阵对应,并构造出基本图元,实现了用一个映射构造出多个平面排列图案的算法。

Based on the Knothe time function, the progressive prediction of surface subsidence due to underground mining was established, and the factor of proportionality describing the influence of geological and mining conditions was determined when there was no measured data in practice. A method of periodic pressure distance to divide the total working face into certain elements considering the mining rate or mining duration was proposed.

详细分析了单参数的Knothe时间函数、双参数的Sroka-Schober时间函数和Kowalski 广义时间函数的优缺点及其相互关系,建立了应用Knothe时间函数进行地表动态移动变形预计的原理、无实测资料矿井时间参数的确定方法和开采单元划分的周期来压步距法。

With the method, tendency of measured value was analyzed, harmonic mode was checked by using autocorrelation function, the relation between spectrum parameters was analyzed and Fourier coefficient was calculated based on the theory of Fourier series. Finally, the significance of every period was tested and dominant period determined so as to establish the prediction model.

首先对实测序列进行趋势项分析;其次用自相关函数进行谐波模式检验;然后根据函数的傅立叶级数展开理论,分析谱参数之间的函数关系,计算傅氏系数;最后采用F分布检验法对周期进行显著性检验,确定主要周期,从而建立预报模型。

In this paper employing periodic function of complex function, a power function and a logarithmic function were constructed to obtain Principle Quantum Number , Angular Quantum Number , Magnetic Quantum Number , Spin Quantum Number and the relations between them.

利用复变函数中周期函数结构,构造了一个幂函数和一个对数函数。给出了电子的主量子数、角量子数、磁量子数和自旋量子数,以及它们之间的关系。

Expansion of the wavefunction ; Boundary conditions ; Periodic function ; Nonperiodic function

波函数的展开;边界条件;周期函数;非周期函数

For this purpose, from 2004 to 2006 Professor Zhang create uniform limit power function space and strong limit power function space that are large, nice spaces.

Sarason在1984年提出了遥远概周期函数和缓慢振动函数并提出了一个公开问题,本文对这两个函数主要做了以下工作第一,将在一维空间中定义的遥远概周期函数和缓慢振动函数推广到高维空间,并指出其与一致极限幂函数和强极限幂函数等新的极限幂函数的关系。

The year trend of cotton aphid could be simulated with a three cubed polynomial. Furthermore, Cotton's year periodicity could be divided into two periodicities, front 55 d first periodicity, the other latter 128 d, and a new periodicity's function was also given with new phase angle.

棉蚜种群数量的趋势性曲线可以用一个多项式来拟合;棉蚜的在一年之内的周期可以分为两段:前55d可看作一个周期,后128d可看作一个周期,并根据周期相角重新给出棉蚜种群数量的周期函数。

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