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有界量、无界量与无穷小、无穷大
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作者 顾华 《数学学习与研究》 2011年第17期107-107,109,共2页
本文主要讨论有界量、无界量与无穷小、无穷大这几个概念之间的区别与联系,并给出了有界量与无穷大的积为无穷大的两个充分条件.
关键词 有界量 无界 无穷小 无穷大
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有界量与无界量
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作者 陈志勇 《高等数学研究》 2003年第3期46-47,共2页
设 {xn}是有界量 ,则 {xn}发散 {xn}存在两个收敛于不同极限的子列 ;设 {xn}是无界量 ,则 {xn}不是无穷大量
关键词 有界量 无界 数列 极限 子列
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海浪等随机变量有界概率分布及工程应用
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作者 王涛 尹宝树 +1 位作者 侯一筠 苏京志 《海洋工程》 CSCD 北大核心 2003年第3期89-93,共5页
提出了一种随机量有界概率分布形式,该分布包含随机量的下界a、上界b及α、β两个特定系数共四个参量,由改变其中任一个参量所显示的结果看出,该分布具有较强的普适性。将该分布应用于海洋工程设计中常用的海浪波高长期分布的重现期及... 提出了一种随机量有界概率分布形式,该分布包含随机量的下界a、上界b及α、β两个特定系数共四个参量,由改变其中任一个参量所显示的结果看出,该分布具有较强的普适性。将该分布应用于海洋工程设计中常用的海浪波高长期分布的重现期及重现值的分析,得出了比P-Ⅲ型、Weibull及Gumble等分布较为合理的分析结果。 展开更多
关键词 有界随机 上界与下界 有界概率分布
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具有有界滞量的脉冲切换系统的严格稳定性
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作者 张焕美 张立琴 《科学技术与工程》 2011年第3期440-442,共3页
主要利用Lyapunov函数方法和Razumikhin技巧,研究具有有界滞量的脉冲切换系统,得到了系统零解的严格一致稳定性的比较结果。
关键词 有界 脉冲切换系统 LYAPUNOV函数 RAZUMIKHIN技巧 严格一致稳定性 比较结果
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关于周期FDE与滞量的周期
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作者 郑祖庥 龙晓瀚 《海南师范学院学报(自然科学版)》 2000年第1期1-4,共4页
本文指出当前关于周期FDE定义中存在的问题,给出命题的反例并提出明确建议。
关键词 泛函微分方程 周期性定义 反例 FDE 有界
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巴拿哈空间上有界变差函数 被引量:2
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作者 李文清 《厦门大学学报(哲学社会科学版)》 1955年第3期13-19,共7页
引言本文讨论定义在实数区间的向量函数,其值域为巴拿哈空间(或简称(B)空间)。第一节是(B)空间的有界变差函数的定义及一些由定义直接导出的结果。这一节没有新的结果、可以看作实函数的推广。第二节指出某些特殊(B)空间的有界变差函数... 引言本文讨论定义在实数区间的向量函数,其值域为巴拿哈空间(或简称(B)空间)。第一节是(B)空间的有界变差函数的定义及一些由定义直接导出的结果。这一节没有新的结果、可以看作实函数的推广。第二节指出某些特殊(B)空间的有界变差函数的充分条件及在(l)空间的充要条件,亦即在(l)空间中有界变差函数的表达式。 展开更多
关键词 有界变差函数 有界量 实函数 空间 函数 定义 值域 定理 引言 充分条件
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THE BASIC THEORY OF SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH BOUNDED DELAY IN THE SPACE OF INTEGRABLE FUNCTIONS
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作者 刘永清 李远清 《华南理工大学学报(自然科学版)》 EI CAS CSCD 北大核心 1997年第7期67-73,共7页
在可积函数空间中讨论有界滞量泛函微分方程,建立其解的基本理论,包括解的存在性,唯一性及延展性。
关键词 有界的泛函微分方程 存在性 唯一性 延展性 可积函数空间
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介绍斯特林(Stirling)公式及其应用 被引量:2
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作者 高明儒 《新疆教育学院学报》 1998年第3期78-82,共5页
关键词 斯特林公式 无穷小 积分区间 TAYLOR公式 渐近公式 积分值 无限增大 有界量 主要项 《数学分析》
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经济数学中求极限的几种方法
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作者 叶海燕 《科技信息》 2012年第30期152-152,共1页
极限概念及运算是经济数学的基本知识,极限的计算方法也灵活多变,本文对极限的运算方法进行了总结。
关键词 无穷小 极限 有界量
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关于滞后型泛函微分方程的稳定性
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作者 谢彦麟 《华南师范大学学报(自然科学版)》 CAS 1993年第2期25-33,共9页
由于有界滞量与无异滞量FDE均可看成无穷时滞FDE的特例,本文尝试按容许空间上稳定性以统一的方法研究滞后型FDE稳定性,把现有文献中对有界滞量FDE稳定性(含不稳定)的主要结果推广到一般滞后型FDE,总结并改进现有文献对此三类方程稳定性... 由于有界滞量与无异滞量FDE均可看成无穷时滞FDE的特例,本文尝试按容许空间上稳定性以统一的方法研究滞后型FDE稳定性,把现有文献中对有界滞量FDE稳定性(含不稳定)的主要结果推广到一般滞后型FDE,总结并改进现有文献对此三类方程稳定性的主要结果. 展开更多
关键词 滞后型 泛函微分方程 稳定性 有界 无界滞
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Image Distortion Metric Based on Total Bounded Variation 被引量:3
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作者 Cheng Xiaogang An Mingwei Chen Qimei 《China Communications》 SCIE CSCD 2012年第2期79-85,共7页
Image definition measurement plays an important role in various image processing applications.And a reliable objective image definition metrics is critical for evaluating the definition of the restored image.In this p... Image definition measurement plays an important role in various image processing applications.And a reliable objective image definition metrics is critical for evaluating the definition of the restored image.In this paper,a novel image distortion metric based on minimal Total Bounded Variation(TBV) is presented.It is clarified that when the restored image approximates to the original clear image,the smaller the TBV is,the better the definition of the restored image is.Furthermore,the difference between the restored image and the original clear image is the smallest when the TBV is minimum.In numerical results,the TBV of the original clear image,blur image and restored image are presented and compared,and the results demonstrate the validity of the distortion metric proposed. 展开更多
关键词 TBV image definition measurement image restoration evaluation function
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泛函微分方程的非Razumikhin型稳定性
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作者 唐忠宪 《内蒙古师范大学学报(教育科学版)》 1990年第Z1期105-107,135,共4页
§1.引言对于滞后型泛函微分方程,我们通常借用Liapunov函数法与所谓的Razumikhin条件研究其稳定性,这方面已有了较多的改进和推广。但是Razumikhin条件中的P函数的存在性与求法是一个很复杂而疑难的问题,本文利用Liapunov函数法与... §1.引言对于滞后型泛函微分方程,我们通常借用Liapunov函数法与所谓的Razumikhin条件研究其稳定性,这方面已有了较多的改进和推广。但是Razumikhin条件中的P函数的存在性与求法是一个很复杂而疑难的问题,本文利用Liapunov函数法与微分差分不等式法。 展开更多
关键词 滞后型泛函微分方程 稳定性 有界 函数法 存在性 指数渐近稳定 连续函数 函数矩阵 内蒙古师范大学 连续可微
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An Assessment of Ingestion Dose due to the Intake of ^210Po and ^210Pb through Drinking Water of Eloor, Ernakulam District, Kerala, India
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作者 A. G. Umadev Dhanya Balakrishnan +5 位作者 Jose P. Abraham M. Rajagopalan M. George P. Dharmalingam Sujatha Radhakrishnan M. Harikumar 《Journal of Chemistry and Chemical Engineering》 2011年第10期903-908,共6页
The present study aims at measuring the activity concentrations of ^210Po and ^210Pb in the potable water of Eloor, a major industrial belt in the Ernakulam district of Kerala, India with an aim of evaluating resultan... The present study aims at measuring the activity concentrations of ^210Po and ^210Pb in the potable water of Eloor, a major industrial belt in the Ernakulam district of Kerala, India with an aim of evaluating resultant ingestion dose to critical population. The industrial units located in Eloor discharge their treated effluents into the river Periyar and the surrounding environs. The two major industries of interest with respect to NORMs are the fertilizer plant, processing rock phosphate and the monazite processing plant, which had been in operation for the last 50 years. For sampling, Eloor region was divided into four zones and a total of 55 water samples from different locations were collected and analysed as per standard analytical procedure manual of BARC. The ^210Po concentration ranged between 0.3 to 4.7 mBq.L^-1 and ^210Pb ranged from 0.6 to 4.3 mBq.L^-1. All values are well below the limit of 0.1 Bq.Ll recommended by World Health Organization. Statistical analysis shows a good co-relation between ^210Po and ^210Pb in the water samples analyzed and the mean activity concentration is found to be relatively high in the western region of Eloor compared to other regions. The annual effective dose equivalent to man from ^210Po and ^210Pb through drinking water intake were estimated and found to be 1.13 μSv.y^-1 and 0.99 μSv.y^-1 respectively, which is well below the reference level of committed effective dose (100 μSv.y^-1) recommended by WHO. 展开更多
关键词 ^210Po and ^210Pb activity concentration groundwater Eloor drinking water quality dose calculations
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Function Theory of a Class of Bounded Reinhardt Domains
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作者 LI Xian 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第1期115-123,共9页
In this paper, we consider a class of bounded Reinhardt domains Dα(m, n1,…,nm). The Bergman kernel function K(z,z^), the Bergman metric matrix T(z,z^), the Cauchy-Szegoe kernel function S(z,ζ^) are obtained... In this paper, we consider a class of bounded Reinhardt domains Dα(m, n1,…,nm). The Bergman kernel function K(z,z^), the Bergman metric matrix T(z,z^), the Cauchy-Szegoe kernel function S(z,ζ^) are obtained. Then we prove that the formal Poisson kernel function is not a Poisson kernel function. At last, we prove that Dα is a quasiconvex domain and Dα is a stronger quasiconvex domain if and only if Dα is a hypersphere. 展开更多
关键词 bounded Reinhardt domain Cauchy-Szegoe kernel
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A Class of the Quasilinear Hyperbolic Equations with the Inhomogenous Terms
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作者 杨乔 刘法贵 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第3期39-44,共6页
In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smo... In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smooth solutions for its Cauchy problem. 展开更多
关键词 inhomogeneous term globally smooth sulution quasilinear hyperbolic equations
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IDEAL STRUCTURE OF UNIFORM ROE ALGEBRAS OVER SIMPLE CORES 被引量:3
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作者 CHENXIAOMAN WANGQIN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第2期225-232,共8页
This paper characterizes ideal structure of the uniform Roe algebra B*(X) over simple cores X. A necessary and sufficient condition for a principal ideal of B*(X) to be spatial is given and an example of non-spatial i... This paper characterizes ideal structure of the uniform Roe algebra B*(X) over simple cores X. A necessary and sufficient condition for a principal ideal of B*(X) to be spatial is given and an example of non-spatial ideal of B*(X) is constructed. By establishing an one-one correspondence between the ideals of B* (X) and the ω-filters on X, the maximal ideals of B*(X) are completely described by the corona of the Stone-Cech compactification of X. 展开更多
关键词 Uniform Roe algebra Simple core Ideal ULTRAFILTER Stone-Cech com-pactification
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On the lower bounds of the curvatures in a bounded domain 被引量:1
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作者 LU Qi Keng 《Science China Mathematics》 SCIE CSCD 2015年第1期1-10,共10页
Let KD(z, z) be the Bergman kernel of a bounded domain 7P in Cn and Sect (z, ) and Ricci (z, ) be the holomorphic sectional curvature and Ricci curvature of the Bergman metric ds2 = T T:)(z,N)dzCdz respectiv... Let KD(z, z) be the Bergman kernel of a bounded domain 7P in Cn and Sect (z, ) and Ricci (z, ) be the holomorphic sectional curvature and Ricci curvature of the Bergman metric ds2 = T T:)(z,N)dzCdz respectively at the point z E T with tangent vector . It is proved by constructing suitable minimal functions that where z ∈D1 D D2, D1 is a ball contained in D and D2 is a ball containing D. 展开更多
关键词 minimal function minimal integral lower bound
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RANDOM ITERAtION OF HOLOMORPHIC SELF-MAPS OVER BOUNDED DOMAINS IN C^N
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作者 ZHANGWENJUN RENFUYAO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第1期33-42,共10页
This paper studies the asymptotic properties of the random iterations of both the form G. = f1 o f2 o''' o fn and the form Fn= fn o fn-1 o''' o f1, where {fn} H(Ω,Ω) and Ω C  ̄N is a boun... This paper studies the asymptotic properties of the random iterations of both the form G. = f1 o f2 o''' o fn and the form Fn= fn o fn-1 o''' o f1, where {fn} H(Ω,Ω) and Ω C  ̄N is a bounded domain. It is found that, under some conditions, Gn or Fn tends to a point in Ω as Ω→ ∞. Some examples are also given to show that the conditions that we have given can not be dropped in general. Moreover, a complete description is given for Fn or Gn to tend to a point in Ω under the condition fn→ f. 展开更多
关键词 Random iteration Holomorphic map Kobayashi metric.
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Indecomposable modules of the intermediate series over W(a,b) 被引量:3
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作者 SU YuCai XU Ying YUE XiaoQing 《Science China Mathematics》 SCIE 2014年第2期275-291,共17页
For any complex parameters a and b,W(a,b)is the Lie algebra with basis{Li,Wi|i∈Z}and relations[Li,Lj]=(j i)Li+j,[Li,Wj]=(a+j+bi)Wi+j,[Wi,Wj]=0.In this paper,indecomposable modules of the intermediate series over W(a,... For any complex parameters a and b,W(a,b)is the Lie algebra with basis{Li,Wi|i∈Z}and relations[Li,Lj]=(j i)Li+j,[Li,Wj]=(a+j+bi)Wi+j,[Wi,Wj]=0.In this paper,indecomposable modules of the intermediate series over W(a,b)are classified.It is also proved that an irreducible Harish-Chandra W(a,b)-module is either a highest/lowest weight module or a uniformly bounded module.Furthermore,if a∈/Q,an irreducible weight W(a,b)-module is simply a Vir-module with trivial actions of Wk’s. 展开更多
关键词 the algebra W(a b) the Virasoro algebra modules of the intermediate series
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Photoinduced charge injection in the metal/organic interface studied by transient photovoltage measurements with bias 被引量:2
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作者 WU Bo LI WenBin +4 位作者 YU HaoMiao YOU YinTao CHEN XiaoQing HE Yun HOU XiaoYuan 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2013年第10期2012-2015,共4页
Transient photovoltage of ITO/organic/Al cells is studied under different bias polarities and voltages.It is found that for an ITO/NPB/Al cell,light incidence on the Al side induces more bias-dependent transient photo... Transient photovoltage of ITO/organic/Al cells is studied under different bias polarities and voltages.It is found that for an ITO/NPB/Al cell,light incidence on the Al side induces more bias-dependent transient photovoltage variation when the photovoltage is positive than when it is negative.However,for an ITO/C60 /Al cell,the variation characteristics of transient photovoltage is reversed.These results support the previously proposed mechanism that Al could inject charges into the organic layer upon photon excitation,indicating that the absorption of electrode can also contribute to photovoltaic effect. 展开更多
关键词 light absorption charge injection organic solar cells photovoltaic effects
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