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关于函数项级数的一致收敛性 被引量:3
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作者 刘江蓉 《科教文汇》 2013年第18期52-52,54,共2页
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。
关键词 函数项级数的一致收敛 优级数 正项级数
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关于Brown随机指数一致可积性条件的推广
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作者 李军 《纯粹数学与应用数学》 CSCD 2012年第6期839-844,共6页
利用Brown运动的下函数,推广了随机指数一致可积性的判定条件,进而改进了Novikov条件和Kazamaki条件.
关键词 随机指数 指数鞅的一致可积 Brown运动的下函数 Novikov条件 Kazamaki条件
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度量空间内映射列的一致收敛性
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作者 雷久源 《零陵学院学报》 1993年第3期21-23,共3页
本文将数学分析中函数列的一致收敛性的概念及有关定理推广到度量空间。
关键词 度量空间 完备度量空间 映射列的一致收敛 紧集
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谈英语当中的一致问题
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作者 张顺生 方伟琴 《苏州教育学院学报》 2002年第4期52-57,共6页
目前淡化语法已经到了十分令人担忧的程度 ,很多学生都能呱拉呱拉讲一些英语 ,但是一提语法则漏洞百出 ,其中一致问题便是一例。一说到一致 (agreement) ,人们自然会想到主谓一致。其实英语当中的一致问题不只包括主谓一致问题 ,即主语... 目前淡化语法已经到了十分令人担忧的程度 ,很多学生都能呱拉呱拉讲一些英语 ,但是一提语法则漏洞百出 ,其中一致问题便是一例。一说到一致 (agreement) ,人们自然会想到主谓一致。其实英语当中的一致问题不只包括主谓一致问题 ,即主语和谓语动词间在人称 (Person)和数(Number)上的形态上的协调关系问题 ,还应包括人称一致、性的一致、数的一致、同位一致。一致问题在英语学习中相当重要 ,值得广大教师、英语爱好者和英语学习者的重视。 展开更多
关键词 英语 主谓一致 人称一致 性的一致 的一致 同位一致
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函数列一致收敛的奥斯古德定理 被引量:5
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作者 邢家省 杨义川 《四川理工学院学报(自然科学版)》 CAS 2017年第6期83-87,93,共6页
研究函数列的一致收敛性的理论方法问题,在有限闭区间上,给出了判断函数列一致收敛的奥斯古德定理和狄尼定理的两种形式,对奥斯古德定理给出了两种证明方法,给出了奥斯古德定理的几个推论,沟通了相关知识的联系,并通过实例说明奥斯古德... 研究函数列的一致收敛性的理论方法问题,在有限闭区间上,给出了判断函数列一致收敛的奥斯古德定理和狄尼定理的两种形式,对奥斯古德定理给出了两种证明方法,给出了奥斯古德定理的几个推论,沟通了相关知识的联系,并通过实例说明奥斯古德定理的应用及其理论价值。在开区间或无限区间上,给出了函数列一致收敛的判别定理,并应用于研究含参变量广义积分的一致收敛性,从理论上沟通了函数列一致收敛与参变量广义积分的一致收敛的内在联系,构成一套理论方法体系。 展开更多
关键词 函数列的一致收敛 等度一致连续 奥斯古德定理 狄尼定理
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一类幂指函数列的分析性质 被引量:1
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作者 蔡俊亮 吴莹莹 +1 位作者 蔡怡 兰羽 《高等数学研究》 2012年第4期6-8,共3页
讨论幂指函数列{yn(x)}(n≥0,x∈[0,1])的一些分析性质,研究这些函数的几何图形分布情况,其中y0(x)=1,yn(x)=xyn-1(x)(n≥1)且y2k(0)=1,y2k+1(0)=1(k≥0).可获知函数列{yn(x)}中的每一个函数yn(x)均在闭区间[0,1]上一致连续,在开区间(0... 讨论幂指函数列{yn(x)}(n≥0,x∈[0,1])的一些分析性质,研究这些函数的几何图形分布情况,其中y0(x)=1,yn(x)=xyn-1(x)(n≥1)且y2k(0)=1,y2k+1(0)=1(k≥0).可获知函数列{yn(x)}中的每一个函数yn(x)均在闭区间[0,1]上一致连续,在开区间(0,1)内可导,且在闭区间[0,1]上一致收敛于连续的和函数y=y(x),其中y=y(x)由关系式y=xy(0<x,y<1))惟一确定,并且y(0)=0,y(1)=1. 展开更多
关键词 幂指函数 函数的连续 可导 函数列的一致收敛
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论自然律成立所需的动力学性质
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作者 许立勇 《今日科苑》 2013年第4期118-118,共1页
自然律的成立、既不是只限于惯性系,也不能成立在所有的非惯性系。是由坐标系中力的性质决定的。力的性质有两种,即传递性与直接一致均布性。等效原理不能作为推广自然律在所有非惯性系中成立的依据。它表达不出使自然律成立的动力学的... 自然律的成立、既不是只限于惯性系,也不能成立在所有的非惯性系。是由坐标系中力的性质决定的。力的性质有两种,即传递性与直接一致均布性。等效原理不能作为推广自然律在所有非惯性系中成立的依据。它表达不出使自然律成立的动力学的性质,使自然律成立的动力学性质是力在坐标系中的一致均布性。只要符合这一条件,无论是惯性系或是非惯性系,其自然律都必成立。 展开更多
关键词 引力 机械力 的一致均布 力的传递
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宇野理论与广松涉的价值概念 被引量:2
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作者 中野英夫 《晋阳学刊》 CSSCI 2010年第2期68-73,共6页
"价值本身"的阐明,在马克思那里是以与"价值实体论"相混合的形式而展开的,后来的多数马克思学派也继承了这一缺陷。与此相对,作为有别于眼下"价值实体论"而阐明"价值本身"的性质的尝试,是日本... "价值本身"的阐明,在马克思那里是以与"价值实体论"相混合的形式而展开的,后来的多数马克思学派也继承了这一缺陷。与此相对,作为有别于眼下"价值实体论"而阐明"价值本身"的性质的尝试,是日本的两位研究者即宇野弘藏和广松涉的研究。宇野认为:论证劳动价值说(及剩余价值论)即,《资本论》应该不是开头,而是第三篇"绝对剩余价值的生产"之后才展开"价值实体论",第一篇、第二篇则是与作为"流通形式论"(商品、货币、资本这种"价值本身"的存在方式的分析)。而广松认为":价值"不是单以物理的存在为出发点,而是主体间性地形成的"既不是主观的判断也不是客观的实在的东西"。 展开更多
关键词 用在 价值本身 价值实体:价值表现的两极 主观际价值判断的一致
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Three-dimensional high-resolution velocity structure imaging and seismicity study of Yangbi Ms6.4 earthquake 被引量:2
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作者 Ma Yong Zhang Hai-Jiang +1 位作者 Gao Lei Bi Jin-Meng 《Applied Geophysics》 SCIE CSCD 2021年第4期579-591,595,共14页
In this study,based on the body wave arrival data of 5506 earthquakes recorded by 32 fi xed stations and 94 temporary stations in Yangbi and surrounding areas,the source parameters of Yangbi Ms6.4 earthquake sequence ... In this study,based on the body wave arrival data of 5506 earthquakes recorded by 32 fi xed stations and 94 temporary stations in Yangbi and surrounding areas,the source parameters of Yangbi Ms6.4 earthquake sequence and three-dimensional(3-D)fi ne Vp,Vs,and Vp/Vs were inverted by using the consistency-constrained double-diff erence tomography method.The results showed that the focal depth after relocation was mostly in the range of 3–10 km,evidently nearly horizontally distributed,and concentrated in the weak area of the high-velocity body or at the side of the high-low-velocity body transition zone toward the high-velocity body,showing a good corresponding relationship with the velocity structure.The velocity structure in the Yangbi area has remarkably uneven characteristics.The seismic activity area is dominated by high-velocity bodies prone to brittle fracture near the surface.As the depth increases,low-velocity anomalies appear.A signifi cant diff erence was observed in the wave velocity ratio between the upper and lower sides of the seismically dense strip.Based on the focal mechanism of the Yangbi Ms6.4 earthquake and the fine 3-D velocity structure,this article concludes that the Yangbi Ms6.4 earthquake was caused by a strong regional tectonic stress concentrated in the relatively weak area by hard high-velocity bodies on the northwest sides.The Ms5.6 foreshock broke the inherent balance of regional stress and promoted the occurrence of the Yangbi Ms6.4 mainshock.Afterward,the stress was adjusted to a new equilibrium state through a large number of aftershocks,forming a foreshock–mainshock–aftershock type of seismic activity model.Based on the activity law of the Yangbi Ms6.4 earthquake sequence and characteristics of the 3D velocity structure distribution,this paper speculates that the seismogenic structure of the Yangbi earthquake was possibly a northwest strike-slip buried fault with a depth of 3–10 km on the southwest side of the Weixi–Qiaohou fault. 展开更多
关键词 Tangshan fault double-diff erence tomography velocity structure seismic activity Vp/Vs inversion
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Property A_(UB) of Metric Spaces under Decompositions of Finite Depth
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作者 王显金 杨军 王勤 《Journal of Donghua University(English Edition)》 EI CAS 2010年第5期618-622,共5页
Property AUB is the notion in metric geometry which has applications in higher index problems.In this paper,the permanence property of property AUB of metric spaces under large scale decompositions of finite depth is ... Property AUB is the notion in metric geometry which has applications in higher index problems.In this paper,the permanence property of property AUB of metric spaces under large scale decompositions of finite depth is proved. 展开更多
关键词 metric space property AUB uniformly convex Banach space large scale decomposition permanence property
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支撑民族自尊的倚天豪情——评《壮志凌云》
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作者 尹鸿 《当代电视》 2000年第S5期25-25,共1页
我们生活在一个比以往任何时代都更奢侈地享受和平快乐的时代,但是我们又始终面对着一个发展中国家几乎难以避免的来自强势国家对我们民族自尊的威胁,感受到由于国家国际地位失衡的尴尬,特别是近年来,银河号事件、南斯拉夫事件的相继出... 我们生活在一个比以往任何时代都更奢侈地享受和平快乐的时代,但是我们又始终面对着一个发展中国家几乎难以避免的来自强势国家对我们民族自尊的威胁,感受到由于国家国际地位失衡的尴尬,特别是近年来,银河号事件、南斯拉夫事件的相继出现,台海局势的紧张,钓鱼岛的纠纷、南海周边地区的海域争端等,都引起了国人对于国家安全和民族尊严的一种潜在焦虑,同时也成为对于强化国家国防力量的一种渴望。 展开更多
关键词 民族自尊 电视剧 军人生活 电脑三维动画 文化对比 影视艺术 好莱坞 国家安全 “硬道理” 性的一致
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靴帽添冬彩
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作者 玫瑰 《饭店现代化》 1997年第1期36-37,共2页
顶上风采——漂亮帽子 作为女性,也许你很早就知道帽子的魅力,那是在电影电视上看到明星们的形象或是从名模照片上得来的印象,而在你自己的生活中。
关键词 舞台服饰 精巧的设计 性的一致 色彩图案 帽子 裘皮帽 职业化 搭配原则 毛针织
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Rate of strong consistency of quasi maximum likelihood estimate in generalized linear models 被引量:25
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作者 YUE Li & CHEN Xiru School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China Graduate School, Chinese Academy of Sciences, Beijing 100039, China 《Science China Mathematics》 SCIE 2004年第6期882-893,共12页
Under the assumption that in the generalized linear model (GLM) the expectation of the response variable has a correct specification and some other smooth conditions, it is shown that with probability one the quasi-li... Under the assumption that in the generalized linear model (GLM) the expectation of the response variable has a correct specification and some other smooth conditions, it is shown that with probability one the quasi-likelihood equation for the GLM has a solution when the sample size n is sufficiently large. The rate of this solution tending to the true value is determined. In an important special case, this rate is the same as specified in the LIL for iid partial sums and thus cannot be improved anymore. 展开更多
关键词 quasi-likelihood function generalized linear models strong consistency
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Asymptotics for partly linear regression with dependent samples and ARCH errors:consistency with rates 被引量:3
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作者 卢祖帝 I.Gijbels 《Science China Mathematics》 SCIE 2001年第2期168-183,共16页
Partly linear regression model is useful in practice, but littleis investigated in the literature to adapt it to the real data which are dependent and conditionally heteroscedastic. In this paper, the estimators of th... Partly linear regression model is useful in practice, but littleis investigated in the literature to adapt it to the real data which are dependent and conditionally heteroscedastic. In this paper, the estimators of the regression components are constructed via local polynomial fitting and the large sample properties are explored. Under certain mild regularities, the conditions are obtained to ensure that the estimators of the nonparametric component and its derivatives are consistent up to the convergence rates which are optimal in the i.i.d. case, and the estimator of the parametric component is root-n consistent with the same rate as for parametric model. The technique adopted in the proof differs from that used and corrects the errors in the reference by Hamilton and Truong under i.i.d. samples. 展开更多
关键词 ARCH (GARCH) errors dependent samples local polynomial fitting convergence rates partly linear model root-n consistency
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Estimation in the polynomial errors-in-variables model 被引量:2
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作者 张三国 陈希孺 《Science China Mathematics》 SCIE 2002年第1期1-8,共8页
Estimators are presented for the coefficients of the polynomial errors-in-variables (EV) model when replicated observations are taken at some experimental points. These estimators are shown to be strongly consistent u... Estimators are presented for the coefficients of the polynomial errors-in-variables (EV) model when replicated observations are taken at some experimental points. These estimators are shown to be strongly consistent under mild conditions. 展开更多
关键词 errors-in-variables model polynomial model strong consistency replicated observations
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Cooperation in Two-Stage Games on Undirected Networks 被引量:10
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作者 GAO Hongwei PETROSYAN Leon +1 位作者 QIAO Han SEDAKOV Artem 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2017年第3期680-693,共14页
In the paper, cooperative two-stage network games are studied. At the first stage of the game, players form a network, while at the second stage players choose their behaviors according to the network realized at the ... In the paper, cooperative two-stage network games are studied. At the first stage of the game, players form a network, while at the second stage players choose their behaviors according to the network realized at the first stage. As a cooperative solution concept in the game, the core is considered.It is proved that some imputations from the core are time inconsistent, whereas one can design for them a time-consistent imputation distribution procedure. Moreover, the strong time consistency problem is also investigated. 展开更多
关键词 Characteristic function COOPERATION CORE IMPUTATION imputation distribution proce-dure network strong time consistency T-value.
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Establishment of one-step approach to detoxification of hypertoxic aconite based on the evaluation of alkaloids contents and quality 被引量:9
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作者 ZHANG Ding-Kun HAN Xue +6 位作者 TAN Peng LI Rui-Yu NIU Ming ZHANG Cong-En WANG Jia-Bo YANG Ming XIAO Xiao-He 《Chinese Journal of Natural Medicines》 SCIE CAS CSCD 2017年第1期49-61,共13页
Aconite is a valuable drug and also a toxic material, which can be used only after detoxification processing. Although traditional processing methods can achieve detoxification effect as desired, there are some obviou... Aconite is a valuable drug and also a toxic material, which can be used only after detoxification processing. Although traditional processing methods can achieve detoxification effect as desired, there are some obvious drawbacks, including a significant loss of alkaloids and poor quality consistency. It is thus necessary to develop a new detoxification approach. In the present study, we designed a novel one-step detoxification approach by quickly drying fresh-cut aconite particles. In order to evaluate the technical advantages, the contents of mesaconitine, aconitine, hypaconitine, benzoylmesaconine, benzoylaconine, benzoylhypaconine, neoline, fuziline, songorine, and talatisamine were determined using HPLC and UHPLC/Q-TOF-MS. Multivariate analysis methods, such as Clustering analysis and Principle component analysis, were applied to determine the quality differences between samples. Our results showed that traditional processes could reduce toxicity as desired, but also led to more than 85.2% alkaloids loss. However, our novel one-step method was capable of achieving virtually the same detoxification effect, with only an approximately 30% alkaloids loss. Cluster analysis and Principal component analysis analyses suggested that Shengfupian and the novel products were significantly different from various traditional products. Acute toxicity testing showed that the novel products achieved a good detoxification effect, with its maximum tolerated dose being equivalent to 20 times of adult dosage. And cardiac effect testing also showed that the activity of the novel products was stronger than that of traditional products. Moreover, particles specification greatly improved the quality consistency of the novel products, which was immensely superior to the traditional products. These results would help guide the rational optimization of aconite processing technologies, providing better drugs for clinical treatment. 展开更多
关键词 ACONITE Detoxication methods Quantitative determination Cardiac effect Quality consistency.
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Penalized least squares estimation with weakly dependent data 被引量:2
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作者 FAN JianQing QI Lei TONG Xin 《Science China Mathematics》 SCIE CSCD 2016年第12期2335-2354,共20页
In statistics and machine learning communities, the last fifteen years have witnessed a surge of high-dimensional models backed by penalized methods and other state-of-the-art variable selection techniques.The high-di... In statistics and machine learning communities, the last fifteen years have witnessed a surge of high-dimensional models backed by penalized methods and other state-of-the-art variable selection techniques.The high-dimensional models we refer to differ from conventional models in that the number of all parameters p and number of significant parameters s are both allowed to grow with the sample size T. When the field-specific knowledge is preliminary and in view of recent and potential affluence of data from genetics, finance and on-line social networks, etc., such(s, T, p)-triply diverging models enjoy ultimate flexibility in terms of modeling, and they can be used as a data-guided first step of investigation. However, model selection consistency and other theoretical properties were addressed only for independent data, leaving time series largely uncovered. On a simple linear regression model endowed with a weakly dependent sequence, this paper applies a penalized least squares(PLS) approach. Under regularity conditions, we show sign consistency, derive finite sample bound with high probability for estimation error, and prove that PLS estimate is consistent in L_2 norm with rate (s log s/T)~1/2. 展开更多
关键词 weakly dependent high-dimensional model oracle property model selection consistency penalized least squares
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Asymtotics of Dantzig Selector for a General Single-Index Model
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作者 FAN Yan GAI Yujie ZHU Lixing 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2016年第4期1123-1144,共22页
As two popularly used variable selection methods, the Dantzig selector and the LASSO have been proved asymptotically equivalent in some scenarios. However, it is not the case in general for linear models, as disclosed... As two popularly used variable selection methods, the Dantzig selector and the LASSO have been proved asymptotically equivalent in some scenarios. However, it is not the case in general for linear models, as disclosed in Gai, Zhu and Lin's paper in 2013. In this paper, it is further shown that generally the asymptotic equivalence is not true either for a general single-index model with random design of predictors. To achieve this goal, the authors systematically investigate necessary and sufficient conditions for the consistent model selection of the Dantzig selector. An adaptive Dantzig selector is also recommended for the cases where those conditions are not satisfied. Also, different from existing methods for linear models, no distributional assumption on error term is needed with a trade-off that more stringent condition on the predictor vector is assumed. A small scale simulation is conducted to examine the performances of the Dantzig selector and the adaptive Dantzig selector. 展开更多
关键词 Adaptive Dantzig Selector Dantzig selector general single-index model model selection consistency.
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Study on the Reduced Traffic Congestion Method Based on Dynamic Guidance Information
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作者 Shu-Bin Li Guang-Min Wang +2 位作者 Tao Wang Hua-Ling Ren and Lin Zhang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2018年第5期577-584,共8页
This paper studies how to generate the reasonable information of travelers' decision in real network. This problem is very complex because the travelers' decision is constrained by different human behavior. Th... This paper studies how to generate the reasonable information of travelers' decision in real network. This problem is very complex because the travelers' decision is constrained by different human behavior. The network conditions can be predicted by using the advanced dynamic OD(Origin-Destination, OD) estimation techniques. Based on the improved mesoscopic traffic model, the predictable dynamic traffic guidance information can be obtained accurately.A consistency algorithm is designed to investigate the travelers' decision by simulating the dynamic response to guidance information. The simulation results show that the proposed method can provide the best guidance information. Further,a case study is conducted to verify the theoretical results and to draw managerial insights into the potential of dynamic guidance strategy in improving traffic performance. 展开更多
关键词 dynamic information traffic flow model traffic control guidance information traffic congestion
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