leaky modes

Investigation for improving the method to solve leaky modes in acoustic oil well logging is introduced, and a numerical example of its applications is given.

讨论了声法石油测井中井孔声波频散方程复根求取方法的改进，并给出应用算例。

According to the conditions of orthogonal wavelet construction, the complex wavelets are constructed by replacing the conjugate complex roots,which,compared with dbN real orthogonal wavelets,have the same amplitude spectrum and different phase spectrum.

根据正交小波构造的条件,采用替换实小波共轭复根的方法,构造了与dbN序列正交实小波具有相同幅频特性、不同相频特性的复小波,指出了共轭复根数与构造复小波数的关系,给出了构造有效复小波应满足的条件,即共轭复根的虚部绝对值小于0。

If f(x)=0 can be solved radically over F,E is contained in a repeated radical extension,while it not necessarily a repeated radical extension itself.

设E为系数在F上的多荐式f(x)的分裂域,若f(x)在F上根式可解,则E必含在F的一个重复根式扩张中,而E不一定是F的重复根式扩张。