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AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL 被引量:8
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作者 张学军 黎深莲 +1 位作者 尚清丽 郭雨婷 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1861-1880,共20页
In this article, the authors give a typical integral's bidirectional estimates for allcases. At the same time, several equivalent characterizations on the F(p, q, s, k) space in theunit ball of Cn are given.
关键词 F(p Q s k) space integral estimate equivalent norm unit ball
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Bounds for Polynomial’s Roots from Fiedler and Sparse Companion Matrices for Submultiplicative Matrix Norms 被引量:1
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作者 Mamoudou Amadou Bondabou Ousmane Moussa Tessa Amidou Morou 《Advances in Linear Algebra & Matrix Theory》 2021年第1期1-13,共13页
We use submultiplicative companion matrix norms to provide new bounds for roots for a given polynomial <i>P</i>(<i>X</i>) over the field C[<i>X</i>]. From a <i>n</i>... We use submultiplicative companion matrix norms to provide new bounds for roots for a given polynomial <i>P</i>(<i>X</i>) over the field C[<i>X</i>]. From a <i>n</i>×<i>n</i> Fiedler companion matrix <i>C</i>, sparse companion matrices and triangular Hessenberg matrices are introduced. Then, we identify a special triangular Hessenberg matrix <i>L<sub>r</sub></i>, supposed to provide a good estimation of the roots. By application of Gershgorin’s theorems to this special matrix in case of submultiplicative matrix norms, some estimations of bounds for roots are made. The obtained bounds have been compared to known ones from the literature precisely Cauchy’s bounds, Montel’s bounds and Carmichel-Mason’s bounds. According to the starting formel of <i>L<sub>r</sub></i>, we see that the more we have coefficients closed to zero with a norm less than 1, the more the Sparse method is useful. 展开更多
关键词 Fiedler Matrices Polynomial’s Roots Bounds for Polynomials Companion Matrices sparse Companion Matrices Hessenberg Matrices submultiplicative Matrix norm
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赋s范数Orlicz函数空间的光滑点
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作者 徐浩 王俊明 《哈尔滨理工大学学报》 CAS 北大核心 2024年第2期147-152,共6页
光滑点是巴拿赫空间几何理论中的重要概念,在估计理论,概率论等领域有重要应用。本文中,首先用凸模引入赋s-范数Orlicz空间对偶空间范数,然后讨论对偶范数的范数可达性,在此基础上给出赋s-范数Or-licz空间的支撑泛函的显式形式,最后给出... 光滑点是巴拿赫空间几何理论中的重要概念,在估计理论,概率论等领域有重要应用。本文中,首先用凸模引入赋s-范数Orlicz空间对偶空间范数,然后讨论对偶范数的范数可达性,在此基础上给出赋s-范数Or-licz空间的支撑泛函的显式形式,最后给出赋s-范数Orlicz空间光滑点的判据。 展开更多
关键词 Olicz函数空间 s-范数 支撑泛函 光滑点
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A Critical Discourse Analysis on the Teacher Behavioral Norms of English Training School
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作者 TONG Xiao-wan 《海外英语》 2015年第4期120-122,共3页
With a Critical Discourse Analysis approach, this essay reveals four types of discourses: discourse of examination, instruction, technology and regulation. Based on the analysis of power relation among those discourse... With a Critical Discourse Analysis approach, this essay reveals four types of discourses: discourse of examination, instruction, technology and regulation. Based on the analysis of power relation among those discourses, a vivid picture of teachers' identity at training-school has been clearly sketched. That is, teacher at training-school is a puppet acting as not only the transmitter of specific knowledge, but also the supervisor of rules and spokesman of institution. 展开更多
关键词 teacher’s identity power relation Critical DIsCOURsE Analysis TEACHER BEHAVIORAL norms English training sCHOOL
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Continuity and Variability in China's Acknowledgement of International Human Rights Norms
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作者 LIU BO 《The Journal of Human Rights》 2013年第1期27-30,共4页
Since the beginning of the era of reform and opening up, and particularly since the be- ginning of the 21st century,China has achieved great progress in its human rights cause and has made great contributions to the g... Since the beginning of the era of reform and opening up, and particularly since the be- ginning of the 21st century,China has achieved great progress in its human rights cause and has made great contributions to the global hu- man rights cause. On the one hand, China, with its growing economic power, has displayed more self- improvement, self-confidence and self-consciousness, all of which are conducive not only to building the hu- man rights system in China but also pushing forward the international hu- man rights cause. On the other hand, 展开更多
关键词 In Continuity and Variability in China’s Acknowledgement of International Human Rights norms
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最终S-Nekrasov矩阵逆矩阵无穷范数的上界
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作者 蒋建新 《文山学院学报》 2023年第5期95-98,共4页
研究矩阵条件数计算中A的逆矩阵A^(-1)的A|^(-1)|_(∞)的估计问题,利用S-Nekrasov矩阵逆矩阵无穷范数的估计式,结合最终S-Nekrasov矩阵的定义式,得到了该类矩阵的新上界估计式。
关键词 s-Nekrasov矩阵 最终s-Nekrasov矩阵 无穷范数 上界
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Functional sample path properties of subsequence's C-R increments for a Wiener process in Hlder norm 被引量:2
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作者 WEI Qi-cai 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2015年第2期217-226,共10页
In this paper, with the aid of large deviation formulas established in strong topology of functional space generated by HSlder norm, we discuss the functional sample path properties of subsequence's C-R increments fo... In this paper, with the aid of large deviation formulas established in strong topology of functional space generated by HSlder norm, we discuss the functional sample path properties of subsequence's C-R increments for a Wiener process in HSlder norm. The obtained results, generalize the corresponding results of Chen and the classic Strassen's law of iterated logarithm for a Wiener process. 展开更多
关键词 Wiener process subsequence's C-R increments Hslder norm.
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A Study of Caristi’s Fixed Point Theorem on Normed Space and Its Applications
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作者 Md. Abdul Mannan Moqbul Hossain +1 位作者 Halima Akter Samiran Mondal 《Advances in Pure Mathematics》 2021年第3期169-179,共11页
In this work, we will discuss Caristi’s fixed point theorem for mapping results introduced in the setting of normed spaces. This work is a generalization of the classical Caristi’s fixed point theorem. Also, Caristi... In this work, we will discuss Caristi’s fixed point theorem for mapping results introduced in the setting of normed spaces. This work is a generalization of the classical Caristi’s fixed point theorem. Also, Caristi’s type of fixed points theorem was partial discussed in Reich, Mizoguchi and Takahashi’s and Amini-Harandi’s results, we developed ideas that many known fixed point theorems can easily be derived from the Caristi theorem. 展开更多
关键词 norm UNIFORMITY Mizoguchi and Takahashi’s Rich’s Problem Caristi’s Fixed Point Theorem strong and Weak Contraction sEMI-CONTINUOUs
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T-S norm FNN controller based on hybrid learning algorithm
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作者 郭冰洁 李岳明 万磊 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2011年第3期27-32,共6页
Aiming at the problems that fuzzy neural network controller has heavy computation and lag,a T-S norm Fuzzy Neural Network Control based on hybrid learning algorithm was proposed.Immune genetic algorithm (IGA) was used... Aiming at the problems that fuzzy neural network controller has heavy computation and lag,a T-S norm Fuzzy Neural Network Control based on hybrid learning algorithm was proposed.Immune genetic algorithm (IGA) was used to optimize the parameters of membership functions (MFs) off line,and the neural network was used to adjust the parameters of MFs on line to enhance the response of the controller.Moreover,the latter network was used to adjust the fuzzy rules automatically to reduce the computation of the neural network and improve the robustness and adaptability of the controller,so that the controller can work well ever when the underwater vehicle works in hostile ocean environment.Finally,experiments were carried on " XX" mini autonomous underwater vehicle (min-AUV) in tank.The results showed that this controller has great improvement in response and overshoot,compared with the traditional controllers. 展开更多
关键词 T-s norm fuzzy neural network UNDERWATER vehicles IMMUNE GENETIC ALGORITHM Hybrid learning ALGORITHM
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The Normative Enlightenment of China's Human Rights Studies from the Space-Time Dimensions of the Chinese Dream
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作者 HUO GUIHUAN 《The Journal of Human Rights》 2014年第6期16-18,共3页
In order to gradually build a theoretical system of human rights with Chinese characteristics that conforms to the development of the times through rigorous academic research, researchers need to break through the bas... In order to gradually build a theoretical system of human rights with Chinese characteristics that conforms to the development of the times through rigorous academic research, researchers need to break through the basic think- ing tendency of "from idea to idea" step by step and finally establish the fundamental research orientation of "specifying human rights stud- ies." Through comprehensive and systematic analysis and sorting out various basic concepts relating to human rights, researchers also need to finally establish a solid foundation and prerequisite for fruitful academic study. 展开更多
关键词 time The normative Enlightenment of China’s Human Rights studies from the space-Time Dimensions of the Chinese Dream
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The Implementation Mode of No-Fly Zones in International Relations
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作者 ZHAO Guangcheng 《Cultural and Religious Studies》 2023年第12期589-599,共11页
A No-Fly Zone(NFZ)is a unique mode of humanitarian intervention which is understudied in international relations.This article focuses on the political dimension of NFZs in international relations and investigates thei... A No-Fly Zone(NFZ)is a unique mode of humanitarian intervention which is understudied in international relations.This article focuses on the political dimension of NFZs in international relations and investigates their implementations by empirically reviewing all three cases of NFZs to date.There may be efforts by intervening states to highlight humanitarian crises among certain targets to secure UN authorization for the NFZs;yet the implementation of NFZs is also driven largely by the security interests of enforcing states.As a result,there is the potential for those states implementing NFZs to transcend legal authorization and sometimes use excessive force,with likely calamitous results for local populations,or in extreme cases,accomplishing regime change by supporting opposition parties in target states. 展开更多
关键词 No-Fly Zone humanitarian intervention limited use of force human rights international norm China’s diplomacy
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香蕉营养诊断的DRIS标准的初步研究 被引量:13
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作者 李国良 姚丽贤 +1 位作者 付长营 涂仕华 《中国土壤与肥料》 CAS CSCD 北大核心 2008年第3期74-77,86,共5页
运用诊断与推荐综合系统(DRIS)标准建立的常规方法,通过比较香蕉低产组和高产组叶片N、P、K、Ca、Mg和S养分含量以及两元素间的养分比和养分积,初步筛选出P/N、N.K、N.Ca、N/Mg、N/S、P.K、P/Ca、P/Mg、P.S、Ca/K、K/Mg、K.S、Ca/Mg、C... 运用诊断与推荐综合系统(DRIS)标准建立的常规方法,通过比较香蕉低产组和高产组叶片N、P、K、Ca、Mg和S养分含量以及两元素间的养分比和养分积,初步筛选出P/N、N.K、N.Ca、N/Mg、N/S、P.K、P/Ca、P/Mg、P.S、Ca/K、K/Mg、K.S、Ca/Mg、Ca/S和S/Mg作为DRIS参项,并初步提出香蕉DRIS诊断标准。 展开更多
关键词 香蕉 DRIs标准 诊断
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两类新的基于T/S范数的模糊神经元模型及其应用 被引量:3
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作者 徐蔚鸿 叶有培 杨静宇 《计算机学报》 EI CSCD 北大核心 2003年第9期1123-1129,共7页
基于T范数和S范数提出了F1型和F2型两类神经元模型 ,并研究了它们的性质和应用 (F1型灵敏性强而鲁棒性弱 ,而F2型神经元灵敏性弱而鲁棒性强 ) ;给出了一个基于F1型神经元的广义AND/OR运算为T/S范数簇的充分必要条件 ;首先提出了弱界三... 基于T范数和S范数提出了F1型和F2型两类神经元模型 ,并研究了它们的性质和应用 (F1型灵敏性强而鲁棒性弱 ,而F2型神经元灵敏性弱而鲁棒性强 ) ;给出了一个基于F1型神经元的广义AND/OR运算为T/S范数簇的充分必要条件 ;首先提出了弱界三角范数的概念 ,并发现F2型的一个特例模型能实现弱界三角范数 .经分析 ,F1型更适合用于工业控制系统 ,而F2型更适合用于面向用语言描述知识的医学和人文社会领域的计算机应用系统 .该文把一个由特殊的F2型神经元组成的神经网络用于模糊推理 ,发现该推理方法是Zadeh的CRI法的推广 ,且能满足假言推理 .通过权值的调整 ,该推理法能满足若干推理原则的要求 . 展开更多
关键词 模糊专家系统 模糊推理 人工智能 T/s范数 模糊神经元模型
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T-S型模糊系统的稳定性分析及其应用 被引量:10
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作者 吴方向 史忠科 戴冠中 《控制与决策》 EI CSCD 北大核心 1999年第1期65-68,92,共5页
讨论了状态空间形式下Takagi和Sugeno提出的一类模糊系统的稳定性,利用矩阵范数和矩阵分析理论给出了判定该类系统稳定的新的充分条件。在此基础上分析了国产某飞机在地面滑行时纵向短周期运动的稳定性,比以往结论更加有效。
关键词 模糊系统 稳定性 T-s型模糊系统 飞机
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应用L_(p)拟范数稀疏约束的纵横波速比直接反演
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作者 张天悦 林凯 +3 位作者 文晓涛 赵炼 张雨强 雷扬 《石油地球物理勘探》 EI CSCD 北大核心 2024年第2期230-237,共8页
纵横波速比(vP/vS)是识别气藏、描述储层特征和判别岩性的重要解释工具。目前主要是通过反射系数近似方程反演得到纵、横波速度,再进一步计算纵横波速比,但是这种间接计算方法会产生累积误差。为了直接从叠前地震数据反演纵横波速比,文... 纵横波速比(vP/vS)是识别气藏、描述储层特征和判别岩性的重要解释工具。目前主要是通过反射系数近似方程反演得到纵、横波速度,再进一步计算纵横波速比,但是这种间接计算方法会产生累积误差。为了直接从叠前地震数据反演纵横波速比,文中提出了一种新的广义弹性阻抗方程,再进一步推导出一个与纵横波速比、纵波速度、密度相关的纵波反射系数近似方程。为了得到精度较高的反演结果,基于推导出的反射系数近似方程,提出一种基于Lp拟范数稀疏约束的叠前地震反演方法,并通过交替方向乘子算法求解。将提出的直接反演方法应用于理论模型和实际数据,并与间接反演方法相对比,结果表明该直接反演方法的反演结果精度较高,对含气储层的边界刻画更清晰。 展开更多
关键词 反演 纵横波速比 广义弹性阻抗 Lp拟范数 交替方向乘子算法
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T-S模的直觉模糊群及其运算 被引量:6
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作者 李晓萍 《天津师范大学学报(自然科学版)》 CAS 2003年第3期39-43,共5页
在直觉模糊群定义的基础上,将算子"∧"与"∨"分别推广到T模和S模上,从而定义了关于T-S模的直觉模糊群,给出了其在对偶模意义下的等价定义,并且证明了一个直觉模糊集构成关于T-S模的直觉模糊群的几个等价命题.最后,... 在直觉模糊群定义的基础上,将算子"∧"与"∨"分别推广到T模和S模上,从而定义了关于T-S模的直觉模糊群,给出了其在对偶模意义下的等价定义,并且证明了一个直觉模糊集构成关于T-S模的直觉模糊群的几个等价命题.最后,研究了这种直觉模糊群的一些基本运算问题. 展开更多
关键词 T—s 直觉模糊群 T模 s 直觉模糊集 对偶模 同态像 模糊数学
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Fuzzy集合与集合套的T模交与S模并 被引量:3
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作者 何家儒 《四川师范大学学报(自然科学版)》 CAS CSCD 1998年第1期27-33,共7页
讨论了Fuzzy集的T模交与S模并的性质和构造;引入了集合套的T模交与S模并的定义,并且研究了它们的性质.进而得到在模系结构这种更为广泛框架下,Fuzzy集的表现定理.
关键词 T模交 s模并 集合套 模糊集 表现定理
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基于Frank T/S范数的柔性概率逻辑算子研究 被引量:2
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作者 王万森 何华灿 《电子学报》 EI CAS CSCD 北大核心 2009年第5期1141-1145,共5页
Frank算子簇满足相容性定理,基于Frank T/S范数构造柔性概率逻辑算子,是在逻辑框架内解决概率逻辑不确定性推理问题的一种有效探索.论文针对传统概率逻辑算子在相关性方面存在的缺陷,用广义相关系数h建立起与相关性的联系,并基于Frank ... Frank算子簇满足相容性定理,基于Frank T/S范数构造柔性概率逻辑算子,是在逻辑框架内解决概率逻辑不确定性推理问题的一种有效探索.论文针对传统概率逻辑算子在相关性方面存在的缺陷,用广义相关系数h建立起与相关性的联系,并基于Frank T/S范数构造了一套运算关系可以随h连续变化的柔性概率逻辑算子.理论证明,该算子既可满足概率测度的基本公理,又具有连续单调可变性. 展开更多
关键词 Frank相容算子 T/s范数 柔性概率逻辑算子
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S-Nekrasov矩阵的逆矩阵无穷范数的上界 被引量:6
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作者 蒋建新 《西南师范大学学报(自然科学版)》 CAS 北大核心 2018年第4期6-10,共5页
在不改变矩阵性质的情况下,通过引入恰当的参数,首先构造了S-SDD矩阵,其次利用S-SDD矩阵与SNekrasov矩阵的逆矩阵无穷范数的关系,得到了S-Nekrasov矩阵的逆矩阵无穷范数的新上界.数值算例不仅说明了新上界的有效性和可行性,也说明了该... 在不改变矩阵性质的情况下,通过引入恰当的参数,首先构造了S-SDD矩阵,其次利用S-SDD矩阵与SNekrasov矩阵的逆矩阵无穷范数的关系,得到了S-Nekrasov矩阵的逆矩阵无穷范数的新上界.数值算例不仅说明了新上界的有效性和可行性,也说明了该结果改进了现有的结果. 展开更多
关键词 s-Nekrasov矩阵 无穷范数 上界
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s代数的性质 被引量:1
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作者 许格妮 王国俊 《纺织高校基础科学学报》 CAS 2006年第4期345-348,共4页
s代数是与格上三角余模相关的一种代数.以s代数概念为基础,对其性质进行了讨论,并给出了它与其他逻辑代数间的关系,证明了s代数是一个Heyting代数.最后讨论了s代数构成BL代数的充要条件,从而为研究不同的逻辑代数以及它们之间的关系奠... s代数是与格上三角余模相关的一种代数.以s代数概念为基础,对其性质进行了讨论,并给出了它与其他逻辑代数间的关系,证明了s代数是一个Heyting代数.最后讨论了s代数构成BL代数的充要条件,从而为研究不同的逻辑代数以及它们之间的关系奠定了一定的理论基础. 展开更多
关键词 三角余模 s代数 HEYTING代数 BL代数
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