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函数的周期

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In 10-20s period band, the sources of ambient seismic noise has a very clear seasonal variability.

由于短周期面波强烈的衰减和吸收效应,提取出的这一周期段的瑞利面波格林函数的信噪比较低。

Theorem Let be a function of period . If satisfies the convergent theorem, the Fourier series of is

定理 设周期为的周期函数满足收敛定理的条件,则它的傅立叶级数展开式为

Theorem (convergence Theorem , Dirichlet Condition

定理(收敛定理,狄利克雷充分条件)设是周期为的周期函数,如果它满足

Some new elliptic periodic solutions and soliton solution of variable coefficient KdV-MKdV equation with three arbitrary functions by are found Jacobi elliptic function expansion method.

运用Jacobi椭圆函数展开法求得了具有3个任意函数的变系数KdV_MKdV方程的新椭圆周期解及孤立波解。

In this paper, the performance of SVM based on Fourier kernel is studied which aims at the regression in signal processing questions, and the influence of parameter q on performance of SVM is analyzed. A conclusion is drew that the integral of Fourier kernel in one period is a constant and the concept of equivalent kernel function width is proposed.

本文针对信号处理中的回归问题,研究了基于傅立叶核函数支持向量机的性能,并分析了参数q对其性能的影响;根据推导得出傅立叶核函数在单个周期内积分为常数的结论,并提出了等效核宽度的概念;最后的仿真结果证实了,在信号处理领域,采用傅立叶核函数的支持向量机比采用径向基核函数的有着更好的性能。

The curve of third harmonic sound pressure level(SPL3)is alsoa "periodic function".The period length is about"first resonancefrequency" of the tube Δf=f0=c0/(2L).The magnitude of SPL3 canbe predicted by Coppens theory(with one of the parameters modified).

三次谐波声压级变化曲线为一"准周期"函数,周期长度为驻波管的第一共振频率值Δf=f0=C0/2L,用Coppens所推导的"共振"时公式,计算三次谐波共振峰的量值,表明仍存在差异,只有经过参数修正才能所得结果。

In this paper,the periodic solutions of a class of monlinear systems are studied by using the method of Liapunov function.

本文运用Liapuunov函数方法,研究了一类非线性系统的周期解,得到了存在唯一渐近稳定的周期解的充分条件。

In this paper,we study the existence.uniqueness and asymptotic stability of the periodic solutions for a class of nonautonomous systems by using the method of Liapunov Function.

利用Liapunov函数方法,研究了一类非自治系统周期解的存在唯一性及渐近稳定性,得到了存在唯一渐近稳定的周期解的充分条件。

Fourier's theorem : any periodic function can be expressed as a sum of sinusoids of appropriate amplitudes and frequencies.

付氏理论:任何周期函数均可以表示为一组正弦函数的和,正弦函数具有合适的大小和频率

Trigonometrical function reflects Yuan Movement and the Movement of mutual conversion and the corresponding linear relationship is the only primary function of the cycle function.

三角函数反映了圆运动和直线运动的相互转化与对应关系,是初等函数中唯一的周期函数。

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