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分组函数的代数性质与序和
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作者 张廷海 覃锋 《吉林大学学报(理学版)》 CAS 北大核心 2019年第3期480-486,共7页
考虑分组函数的幂等性、严格单调性、阿基米德性等基本代数性质的相互关系,通过类似半群序和的结构给出一簇分组函数的序和还是分组函数的性质,并纠正了已有文献在刻画重叠函数上述性质时的几处错误.
关键词 分组函数 幂等元 极限条件 阿基米德性 序和
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关于有理数集的稠密性
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作者 谭坚 《长沙大学学报》 2006年第2期8-9,共2页
分析了关于有理数集的稠密性的几种不同提法,澄清了对这一概念的错误认识,使对高等数学教材中关于有理数集的稠密性有全面正确的理解.
关键词 有理数集 稠密 实数集 数轴 阿基米德性
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实数若干性质的证明及其应用
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作者 龙志文 《高等数学研究》 2022年第1期71-73,共3页
本文介绍实数的阿基米德性、稠密性等性质的证明及其应用,同时也推广了已有文献的相关结论.
关键词 阿基米德性 稠密 有理数 无理数
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人类科学中现有经典极限论的终结(Ⅱ) 被引量:8
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作者 欧阳耿 《喀什师范学院学报》 2007年第3期33-36,共4页
进一步分析、揭示了现有经典极限论在理论上与实际操作中的三个主要缺陷,宣告经典极限论的终结.
关键词 无穷观 芝诺悖论 贝克莱悖论 阿基米德性 新的数量体系 极限论 数学分析
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论“无穷事物”的定量认知(Ⅷ)——新、旧无穷集合论和数学分析基础理论中的三个不同特征 被引量:2
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作者 欧阳耿 《喀什大学学报》 2020年第3期27-33,共7页
从最原始的基础入手,研究证明了无法科学定义、互相矛盾的“潜无穷—实无穷”概念是现有经典无穷理论体系的基础,以经典无穷理论体系为基础的现有经典数学分析和集合论自古以来都存在完全相同的三个基础理论缺陷,人们只能在缺乏科学基... 从最原始的基础入手,研究证明了无法科学定义、互相矛盾的“潜无穷—实无穷”概念是现有经典无穷理论体系的基础,以经典无穷理论体系为基础的现有经典数学分析和集合论自古以来都存在完全相同的三个基础理论缺陷,人们只能在缺乏科学基础理论的状态下摸索前进.虽然现有经典数学分析和集合论解决了许多实际的“无穷事物”定量认知问题,但也产生了许多性质完全相同的、专门暴露相同基础理论致命缺陷的各种悬而未决的悖论家族“.抽象事物—抽象事物的载体”为基础的新无穷理论体系和系统性的“无穷载体理论”的构建,为我们开辟了一条解决现有经典集合论和数学分析基础理论中的三个缺陷及其相关悖论的新思路,决定了第四代数学分析和第二代无穷集合论的产生. 展开更多
关键词 “无穷事物” 定量认知 无穷悖论综合症 潜无穷—实无穷 新无穷理论体系 “无穷载体”理论 “半阿基米德性 第四代数学分析和第二代无穷集合论
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Comparison of the Performance of Two Direct Wave Energy Conversion Systems: Archimedes Wave Swing and Power Buoy 被引量:1
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作者 Jawad Faiz M. Ebrahimi-Salari 《Journal of Marine Science and Application》 2011年第4期419-428,共10页
Many wave energy conversion devices have not been well received. The main reasons are that they are too complicated and not economical. However, in the last two decades direct conversion systems have drawn the attenti... Many wave energy conversion devices have not been well received. The main reasons are that they are too complicated and not economical. However, in the last two decades direct conversion systems have drawn the attention of researchers to their widely distributed energy source due to their simple structure and low cost. The most well-known direct conversion systems presently in use include the Archimedes Wave Swing (AWS) and Power Buoy (PB). In this paper, these two systems were simulated in the same conditions and their behaviors were studied in different wave conditions. In order to verify the simulations, results of the generator of the finite element computations were followed. An attempt was made to determine the merits and drawbacks of each method under different wave conditions by comparing the performance of the two systems. The wave conditions suitable for each system were specified. 展开更多
关键词 AWS PB direct wave energy conversion PM linear generator
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Towards a Sustainable Development of Small Hydropower Plants, from Valley of Sperchios River to Mount Olympus
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作者 Alkistis Stergiopoulou Vassilios Stergiopoulos 《Journal of Energy and Power Engineering》 2013年第6期1116-1123,共8页
The mountainous region of Fthia, identified with the Valley of Sperchios River, in Central Greece, is rich in small watercourses and generously blessed with water and abundant water falls. The geographical configurati... The mountainous region of Fthia, identified with the Valley of Sperchios River, in Central Greece, is rich in small watercourses and generously blessed with water and abundant water falls. The geographical configuration of Olympus and Fthia's mounts and the hydraulic singularities of drained lakes Askouris in Olympus, favour the installation of series of sustainable small hydroelectric plants. The present action consists of a serious effort towards the systematic sustainable small hydropower exploitation of Fthia's and Olympus hydraulic potential, including the Archimedean hydropower perspectives of Sperchios River. 展开更多
关键词 Small hydropower Greek hydropotential hydraulic turbines Archimedean screws environment.
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Some Fixed Point Theorems on Nonarchimedean Menger Probabilistic Metrie Space
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作者 毛宝瑜 陈汝栋 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第2期50-55,共6页
In this paper,we have given a fixed point theorem for mapping sequence and mapping pair on nonarchimedean Mengen Probabilistic Metric space.A special case of its inference is an extension of results of reference [5-6].
关键词 nonarchimedean Mengen Probabilistc metnc space common fixed point.
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平衡三角范数的基本性质
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作者 袁艳 《才智》 2010年第12期100-101,共2页
本文介绍了平衡三角范数基本的代数和分析性质。主要研究了它的连续性、阿基米德性、严格单调性及其幂等元。最后,文中给出了基于加法生成元的平衡三角范数的一种构造方法。
关键词 平衡三角范数 阿基米德性 加法生成元
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MINIMIZING A LINEAR FRACTIONAL FUNCTION SUBJECT TO A SYSTEM OF SUP-T EQUATIONS WITH A CONTINUOUS ARCHIMEDEAN TRIANGULAR NORM 被引量:1
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作者 Pingke LI Edward P.Fitts Department of Industrial and Systems Engineering,North Carolina State University,Raleigh,NC 27695-7906,US Shu-Cherng FANG Edward P.Fitts Department of Industrial and Systems Engineering,North Carolina State University,Raleigh,NC 27695-7906,USA Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China College of Management,Dalian University of Technology,Dalian 116024,China. 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2009年第1期49-62,共14页
This paper shows that the problem of minimizing a linear fractional function subject to asystem of sup-T equations with a continuous Archimedean triangular norm T can be reduced to a 0-1linear fractional optimization ... This paper shows that the problem of minimizing a linear fractional function subject to asystem of sup-T equations with a continuous Archimedean triangular norm T can be reduced to a 0-1linear fractional optimization problem in polynomial time.Consequently,parametrization techniques,e.g.,Dinkelbach's algorithm,can be applied by solving a classical set covering problem in each iteration.Similar reduction can also be performed on the sup-T equation constrained optimization problems withan objective function being monotone in each variable separately.This method could be extended aswell to the case in which the triangular norm is non-Archimedean. 展开更多
关键词 Fractional optimization fuzzy relational equations triangular norms.
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