共查询到20条相似文献，搜索用时 703 毫秒
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级数是表示初等函数的一种工具,其核心问题是级数的和(或和函数),即收敛问题,包括收敛和一致收敛,主要讨论了函数项级数一致收敛中的优级数判别法,给出了几种寻找优级数的方法。 相似文献
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通过实例介绍了三种函数项级数非一致收敛的证明方法，即函数项级数非一致收敛的ε—N定义、确界法和柯西收敛准则。 相似文献
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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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按照年代的先后顺序对子级数收敛的Oliez-Pettis定理的发展作了系统的论述,这对于今后级数理论的研究工作有一定的借鉴作用 相似文献
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该文给出了三类级数问题的求解思路,通过实例说明级数问题中三种值得注意的方法,同时展现出级数问题求解的一些技巧. 相似文献
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无穷级数是高等数学的一个重要组成部分,形式上为相对独立的一块内容,理论上更为抽象,学生在学习这章内容时大多感觉比较困难,在判别级数敛散性时往往思路不清。针对这种状况,本文谈谈几点看法院（1）教师在开始讲授这章内容时,应该向学生介绍清楚学习本章内容的作用所在;（2）对于这章内容的教学,教师应该有所侧重讲解,讲课的顺序也不能完全同于教材的排版顺序;（3）在讲授正课时,教师应该对学生讲解最常用而又有简单有顺序的敛散性判别法。 相似文献
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利用单位球面上的等收敛算子及平移算子,给出了球面上在一点处具有有界变差性质的函数的Fourier-Laplace级数的收敛速度。 相似文献
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Ren-hong Wang 《Journal of The Franklin Institute》2010,347(9):1782-1794
Piecewise constant orthogonal functions over triangular domains play an important role in many applications. In the present paper, some Haar and Walsh functions over triangular domains are constructed. Compared with the previously proposed Haar functions in [5], the new Haar functions take only integer. For any continuous function, the uniform convergence of the new Haar-Fourier series is proved. Moreover, based on the relation between the new Haar and Walsh functions, the uniform convergence of the Walsh-Fourier series is studied. Additionally, we obtain the relation between the Walsh functions in the two different orders, Paley order and Hadamard order, which have not been discussed previously. 相似文献
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Zvezdan M. Marjanović Goran T. Djordjević Gradimir V. Milovanović 《Journal of The Franklin Institute》2018,355(2):965-980
In this paper, we analyze detection of multilevel phase-shift keying (MPSK) signals transmitted over a Gamma shadowed Nakagami-m fading channel. We derive novel analytical expression, in terms of Meijer’s G function, for Fourier coefficients of the probability density function of the received signal composite phase. Under the assumption of the imperfect reference signal extraction in the receiver, which is performed from the pilot signal, the analytical expression is derived for the symbol error probability (SEP) in the form of convergent series. The existence of the error floor is identified, and expression for its computation is provided. Mathematical proofs for convergence of Fourier series are provided for both SEP and SEP floor, and novel expressions of upper bounds for truncation errors are derived in terms of elementary mathematical functions. The convergence rate of the derived expressions is examined. Numerical results are confirmed independently by Monte-Carlo simulations. 相似文献
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产业产出序列的逻辑函数分析 总被引：6，自引：0，他引：6
本文首先对产业成长过程作了一些基本描述，指出一个产业的产出序列不一定服从逻辑函数，如果产出序列服从逻辑函数，其也有可能包含有若干个子逻辑序列。其次，定义了辨识序列与波动序列，进而建立了F（K，b)与W（K,b)两个辨识一个产业的产出序列是否服从逻辑函数以及对其构成阶段加以区分并确定相应的逻辑参数的理论模型。最后，简单扼要地介绍了把有关模型应用于实际分析的程序与规则。 相似文献
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DNA序列分析法在金融数据时间序列中的应用 总被引：5，自引：0，他引：5
通过线性分段将连续性的金融时间序列转化为离散性的字符序列,并基于DNA序列分析法,讨论了此类字符序列的标度特性,以及在金融数据时间序列预测中的可能应用 相似文献
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In this paper, we use time series analysis to evaluate predictive scenarios using search engine transactional logs. Our goal is to develop models for the analysis of searchers’ behaviors over time and investigate if time series analysis is a valid method for predicting relationships between searcher actions. Time series analysis is a method often used to understand the underlying characteristics of temporal data in order to make forecasts. In this study, we used a Web search engine transactional log and time series analysis to investigate users’ actions. We conducted our analysis in two phases. In the initial phase, we employed a basic analysis and found that 10% of searchers clicked on sponsored links. However, from 22:00 to 24:00, searchers almost exclusively clicked on the organic links, with almost no clicks on sponsored links. In the second and more extensive phase, we used a one-step prediction time series analysis method along with a transfer function method. The period rarely affects navigational and transactional queries, while rates for transactional queries vary during different periods. Our results show that the average length of a searcher session is approximately 2.9 interactions and that this average is consistent across time periods. Most importantly, our findings shows that searchers who submit the shortest queries (i.e., in number of terms) click on highest ranked results. We discuss implications, including predictive value, and future research. 相似文献
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《Journal of The Franklin Institute》2023,360(2):1344-1377
A novel finite-time complex-valued zeroing neural network (FTCVZNN) for solving time-varying Sylvester equation is proposed and investigated. Asymptotic stability analysis of this network is examined with any general activation function satisfying a condition or with an odd monotonically increasing activation function. So far, finite-time model studies have been investigated for the upper bound time of convergence using a linear activation function with design formula for the derivative of the error or with variations of sign-bi-power activation functions to zeroing neural networks. A function adaptive coefficient for sign-bi-power activation function (FA-CSBP) is introduced and examined for faster convergence. An upper bound on convergence time is derived with the two components in the function adaptive coefficients of sign-bi-power activation function. Numerical simulation results demonstrate that the FTCVZNN with function adaptive coefficient for sign-bi-power activation function is faster than applying a sign-bi-power activation function to the zeroing neural network (ZNN) and the other finite-time complex-valued models for the selected example problems. 相似文献
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跨产业间的技术融合已成为诱发新兴产业形成并提升其绩效的重要因素。利用EPO-PATSTAT数据库搜索出生物芯片产业13101项专利数据,利用Datastream、Osiris、Amadeus企业数据库搜集335家生物芯片企业财务数据。运用N指数、辛普森多样性指数和香农-维纳指数方法,依据专利数据,测算生物芯片产业技术融合宽度和深度。采用面板数据的GLS回归方法,依据2001-2013年间生物芯片产业20个样本企业专利数据和财务数据,实证分析技术融合引发新型竞争协同关系最终提升战略性新兴产业绩效的机理。研究表明:技术融合度对产业绩效有明显的提升作用,同时提高技术融合的宽度与深度更能带动产业发展;产业融合创新对产业绩效的作用机制随着产业的成长趋势呈现一条开口向下的"倒U型"曲线。这一研究具有重要的政策启示:放松产业管制,加强跨产业共性技术研发,促进跨产业间的技术融合,强化跨产业间的新型竞争协同关系,更有利于战略性新兴产业的规模扩大和绩效提升。 相似文献