共查询到19条相似文献，搜索用时 31 毫秒
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函数项级数一致收敛的判别法,一般只有四种即Weierstrass判别法、Dini判别法、Abal判别法和Dirichlet判别法.现在此介绍一种交错型函数项级数的一致收敛判别法.(本文中把交错型函数项级数记为:"J型"函数项级数.) 相似文献
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在这篇文章中，我们给出（h，Φ）-凸函数的广义方向导数的一个基本性质。引进了（h，Φ）-共轭函数的概念，利用它得到判断（h，Φ）-凸函数的广义次梯度的一个充要条件。 相似文献
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双正交尺度函数在抽样理论、信号处理和计算机图形学等方面有广泛应用.本文研究伸缩因子为的尺度函数的正交性,根据尺度函数双正交的性质,通过复分析方法,给出了伸缩因子为的尺度函数双正交的一个充要条件. 相似文献
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对平衡的m阶相关免疫函数进行了研究，得到了两个重要结果：一个是平衡函数满足m相关免疫的充要条件，另一个是当m≥2/3n时，f（x）都是平衡的布尔函数。 相似文献
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在复变函数中,有时应用教材中的定理和方法判断解析函数孤立奇点的类型比较麻烦,本文给出了判断某些解析函数孤立奇点类型的一种较简单的方法. 相似文献
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蒋继发 《中国科学院研究生院学报》1991,(2)
在本文中,我们证明了R_ ~n上的合作和不可约向量场拥有一个处处非常数的不变函数的充要条件是奇点构成一条含原点的无界有序曲线;如果这样的不变函数存在,则每条有界轨线收敛于奇点。 相似文献
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研究了可积函数与两类分布函数即多项式函数和指数函数乘积的Hilbert变换,分别得到了Bedrosian等式成立的充分条件及充要条件. 相似文献
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This paper investigates the robustness, uniqueness, sufficient condition and the necessary condition for the minimum error entropy (MEE) estimation. For the robustness aspect, we show that the MEE estimator for a Gaussian nominal model is robust with respect to a relative entropy mismodeling criterion as well as the minimum mean-square error (MMSE) estimations. For the uniqueness aspect, we demonstrate by means of examples that for the singular case, the optimum solution of the MEE estimation will be nonunique. For the sufficient and the necessary condition, the former is established by the independence condition, and the later by score orthogonality condition. A specific example illustrates that the score orthogonality condition is just a necessary condition and not a sufficient one, because if an estimator satisfies the score orthogonality condition, it may be a local minimum or even a local maximum of the error entropy in a certain direction. 相似文献
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部分Bent函数的几种构造方法 总被引：1，自引：0，他引：1
给出了部分Bent函数几种一般性构造方法,同时得到了由上述方法所构造出的部分Bent函数的Walsh循环谱特征.特别给出了由变元个数少的Bent函数构造变元个数多的部分Bent函数的一般方法,由此方法可构造出大量的部分Bent函数. 相似文献
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Yiheng Wei Jiachang Wang Tianyu Liu Yong Wang 《Journal of The Franklin Institute》2019,356(4):1975-1990
This paper is concerned with the stabilization problem of singular fractional order systems with order α?∈?(0, 2). In addition to the sufficient and necessary condition for observer based control, a sufficient and necessary condition for output feedback control is proposed by adopting matrix variable decoupling technique. The developed results are more general and efficient than the existing works, especially for the output feedback case. Finally, two illustrative examples are given to verify the effectiveness and potential of the proposed approaches. 相似文献
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Necessary and sufficient conditions for reducibility of certain classes of multivariable polynomials are considered. The special case when a polynomial in that class can be factored into a finite product of single variable polynomials is investigated. A set of necessary and sufficient conditions for decomposing a multivariable p.r.f. into a sum of single variable p.r.f.'s is given. Examples to illustrate applications of sum and product separabilities of functions are given. 相似文献
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Guang-Hui Xu Zhi-Hong Guan Ding-Xin He Ming Chi Yong-Hong Wu 《Journal of The Franklin Institute》2014
This paper studies the leader–follower consensus problem of second-order multi-agent dynamical systems with fixed and stochastic switching topologies in a sampled-data setting. A distributed linear consensus protocol is designed to track an active leader, where the current position information of neighbor agents and self-velocity data are utilized. A necessary and sufficient condition is established under fixed and directed topology for reaching consensus, which depends on the sampling period and control gain parameters. A sufficient condition is obtained under the Markov switching topology case. Finally, some numerical simulations are provided to verify the effectiveness of the theoretical results. 相似文献
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Leon W. Zelby 《Journal of The Franklin Institute》1973,296(6):461-468
It is shown that in the case of charged beams of finite dimensions and/or finite electromagnetic wave-guiding structures, the condition v&c/n is a necessary but not a sufficient condition for generation of Cerenkov radiation. Depending upon the modulation, size and geometry of the beams, and dimensions of the wave-guiding structures, selected lines can be eliminated from the radiation spectrum. Since the lines in the spectrum are size and geometry dependent it is suggested that the analysis of the Cerenkov radiation spectrum may be utilized in the determination of sizes and shapes of charged particles. 相似文献