证明了残差平方和增量与残差平方和的独立性、拟合值向量与学生化残差的独立性,并给出判断两个向量独立性的一个充分性条件.

部分区间删失数据包括精确数据以及区间删失数据,在慢性病研究中有广泛的应用.本文主要考虑在具有1类部分删失数据下指数分布中最大似然估计的相合性,在一定的正则条件下证明了最大似然估计的强相合性.

In order to reduce computational complexity,and also to meet the demand of invisibility and robustness of the digital watermark,a novel blind watermarking algorithm based on Schur decomposition of matrices was proposed.Firstly,the chaotic sequence was used to scramble watermark,then the original image was subdivided block by block,and every block was manipulated by discrete cosine transform(DCT).After that,symmetric matrices were obtained by matrix splitting method,which were decomposed to get diagonal matrices by Schur decomposition.Finally,the watermark was embedded into diagonal matrices with quantization method.Results showed that the proposed new algorithm not only had less computational complexity,but also had good performance on invisibility and robustness.

We introduce a new class of meromorphic functions associated with spirallike functions. Such results as subordination property, integral representation, convolution property, and coefficient inequalities are proved.

The problem of robust control for a class of time-delay chained systems with unknown virtual control coefficients is considered in this paper.Based on state-scaling and backstepping technique,a state feedback controller is obtained.The time-delay term is dealt with by constructing a novel integral-type lyapunov-Krasovskii functional skillfully.And all states of the closed-loop systems asymptotically stable is guaranteed.

作为高校理工类专业的基础性课程,高等数学的学习将为学生其他专业课的进一步学习奠定基础,同时还能培养人的思维能力及创造能力。本文论述了开展高等数学创新教学的重要意义,针对高等数学创新教学的现状,探讨了实施高等数学创新教学的对策。

素质教育理念要求在向大学生传授数学知识的同时,能够大力挖掘数学知识的内在价值.本文提出采取明确教学目标.创新教学手段、提高应用意识、加强师资培训等措施,让学生不但能掌握数学知识,而且能提升数学素质,培养具备数学精神的创新人才.

This paper studies the steady-state equation of a kind of predator-prey model,and by using the spectral properties of positive compact linear differential opetators and fixed points index of compact maps in cones,combining with maximum principles,and lower-upper solutions methods,sufficient conditions of positive solutions are obtained.