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函数的周期

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Since H. Bohr proposed the theory of almost periodic function, this field has been developed greatly.

自H。 Bohr提出概周期函数理论以来,这一领域得到了很大的发展,其发展过程的一个主要特点就是其函数范围不断扩大。

The purpose of this part is to study the delay differential systems in Banach space using the method of fixed point theorem.

一方面在非时滞的情况下通过构造比较函数,利用Brouwer不动点定理得到非时滞微分方程正周期解的存在唯一性,及周期解全局吸引的充分条件。

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一,研究适宜于不同实际问题需要的向量小波基(如周期向量小波、插值向量小波、高维向量小波等);其二,从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域;在此基础上,探索将向量小波分析应用于函数空间理论研究的途径,寻找更高层次、更便捷地研究多元函数空间逼近理论的方法;其三,充分利用向量小波所独具的完美性质,探索在〓空间〓无条件基的构造中,向量小波分析的价值;其四,对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

Two cases are considered in equal and unequal service level, and shows that the total cost function is convex respectively.

对模型中各采购周期限定具有相同的服务水平和允许具有不同的服务水平两种情况分别进行了分析,证明了在两种情况下总库存成本函数在给定条件下均为凸函数。

In section 3, we construct the special function and analysis the functional graph, we study the global periodic solution with only one interior stable point by ejective fixed point theory.

第三节构造特定的函数、分析函数图像,并利用喷射点不动点理论分析该模型只有一个内部平衡点时的大范围周期解问题。

Extended elliptic function expansion method is applied to construct the explicit exact solutions of the Zakharov Equation.

将改进的Jacobi椭圆函数展开法应用到Zakharov方程,比较方便地得到新的解析周期解(包含冲击波解、孤波解和双曲函数解)。这种方法也适用于其他非线性方程或方程组

In this paper, the almost periodic solution for a class of two-degree-of-freedom nonlinear oscillating systems is studied by using the Leray-Schauder fixed point theorem and the method of Liapunov function.

运用Leray-Schauder不动点定理和Liapunov函数方法,研究了一类两自由度非线性振动系统的概周期解,得到了该振动系统概周期解存在的充分条件。

The Beta and quadratic functions were used to describe daily thermal and photoperiod effectiveness, respectively.

分别选用非线性的Beta函数和二次曲线函数来定量描述每日热效应和光周期效应。

A configuration that transition points are reflection symmetric about the midpoint with phase offset in one period is proposed. The intensity of the zero order becomes the function of the phases and can be eliminated.

采用周期内位相突变点镜向对称,前后半周期位相相差结构设计的反对称型达曼光栅,可使其零级衍射光斑强度仅是位相的函数,因此可消除零级谱点。

In the incontinuous cutting, the wave shape of milling can be looked as periodic function. When the milling wave shape with single-tooth was looked as impulse function, by the Fourier Transform, we can find out that it is composed of sine wave with a given frequency and a series of integer multiple frequency. Discussing on the power function is a major tache for studying on the cutting capability of the complex three-dimension groove milling inserts, so to know the facts that affect the single-tooth milling spectral value, and to observe the dynamic milling wave property from the composition of the power spectral, thus we can design and optimize grooves.

在断续切削中,铣削波形可被看作周期函数,将单齿铣削波形看成为脉冲函数,经过傅立叶变换,可以表示为一个按特定的基本频率变动的正弦波形的分量和许多个按基本频率的整数倍而变动的正弦波形的分量叠加而成,讨论所获得的频谱函数,是研究三维复杂槽型铣刀片切削性能的主要环节,以便了解影响单齿铣削波形幅值谱图的各种因素,并从功率谱图的组成情况来考察动态铣削波形的特性,从而进行槽型的设计和优选。

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