检索结果-南通市图书馆

On the structures and dimensions of Moran sets

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2000年第8期43卷 836-852页

作者：华苏饶辉文志英吴军 Department of Mathematics Tsinghua University Beijing 100084 China Department of Mathematics and Center of Nonlinear Science State Key Laboratory of Software Wuhan University Wuhan 430072 China

The Moran sets and the Moran class are defined by geometric fashion that distinguishes the classical self-similar sets from the following points:(i) The placements of the basic sets at each step of the constructions can be arbitrary.(ii) The contraction ratios may be different at each step.(iii) The lower limit of the contraction ratios permits zero.The properties of the Moran sets and Moran class are studied, and the Hausdorff, packing and upper Box-counting dimensions of the Moran sets are determined by net measure.techniques. It is shown that some important properties of the self-similar sets no longer hold for Moran sets.

关键词： Moran set net measure.

Entropy production of stationary diffusions on non-compact Riemannian manifolds

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 1997年第9期40卷 926-931页

作者：龚光鲁钱敏平 Department of Applied Mathematics Tsinghua UniversityBeijing 100084China Department of Probability and Statistics Peking UniversityBeijing 100871China

The closed form of the entropy production of stationary diffusion processes with bounded Nelson’s current velocity is given.The limit of the entropy productions of a sequence of reflecting diffusions is also discussed.

关键词： entropy production diffusion process invariant measure.

Energy densities of semilinear wave equations with oscillatory initial data

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 1997年第10期40卷 1052-1064页

作者：尹会成 Department of Mathematics Nanjing UniversityNanjing 210093China

Microlocal defect measure. have been used to study the energy densities of scmilinear wave equations with oscillatory initial data.An "open problem" in literature is solved.

关键词： nonlinear geometric optics energy density microlocal defect measure Radon measure.

A note on rough set and non-measurable set

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 2000年第16期45卷 1456-1458页

作者： Jian Yu Qiansheng Cheng Peking Univ Sch Math Sci Beijing 100871 Peoples R China

It is proved that rough set is equivalent to non-measurable set in measure.theory. Hence, rough set is not a new concept in some sense. At the same time, we defined the measurable degree of a set by inner measure.and ... 详细信息

关键词： rough set non-measurable set inner measure outer measure.

DEWATERING measure.APPLIED TO SOLVE LANDSLIDE PROBLEM IN EXPANSIVE SOIL AREA

在线全文

学校读者我要写书评

暂无评论

安徽建筑工业学院学报（自然科学版） 1995年第1期3卷 27-33页

作者： Tao Taijiang Xe Yiping Liao Jichuan (Civil Engineering Department) (Simashan Managing Department) (Hefei University of Technology)

ＤＥＷＡＴＥＲＩＮＧＭＥＡＳＵＲＥＡＰＰＬＩＥＤＴＯＳＯＬＶＥＬＡＮＤＳＬＩＤＥＰＲＯＢＬＥＭＩＮＥＸＰＡＮＳＩＶＥＳＯＩＬＡＲＥＡ￥ＴａｏＴａｉｊｉａｎｇ；ＸｅＹｉｐｉｎｇ；ＬｉａｏＪｉｃｈｕａｎ（ＣｉｖｉｌＥｎｇ... 详细信息

ＤＥＷＡＴＥＲＩＮＧＭＥＡＳＵＲＥＡＰＰＬＩＥＤＴＯＳＯＬＶＥＬＡＮＤＳＬＩＤＥＰＲＯＢＬＥＭＩＮＥＸＰＡＮＳＩＶＥＳＯＩＬＡＲＥＡ￥ＴａｏＴａｉｊｉａｎｇ；ＸｅＹｉｐｉｎｇ；ＬｉａｏＪｉｃｈｕａｎ（ＣｉｖｉｌＥｎｇｉｎｅｅｒｉｎｇＤｅｐａｒｔｍｅｎ...

关键词： Expansive soil Landslide Dewatering measure.

The exact packing measure.for a random re-ordering of the Cantor set

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 1996年第1期39卷 1-6页

作者：胡晓予 Department of Mathematics Central China Normal University Wuhan 430070 China

The packing measure.for a random re-ordering of the Cantor set, the packing dimension for the random set belonging to a sequence satisfying the Hausdorff and packing measure. and packing measure. for random subsets of... 详细信息

关键词： Cantor set random re-ordering set Hausdorff measure packing measure.

STOPPED PROCESSES OF TEMPORALLY HOMOGENEOUS MARKOV JUMP PROCESSES

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1992年第8期37卷 623-626页

作者：何声武汪嘉冈 Department of Mathematical Statistics East China Normal University Shanghai 200062 PRC Institute of Applied Mathematics East China University of Chemical Technology Shanghai 200237 PRC

Let X=（X, （ω））(t≥0 be a jump process defined on a complete probability space （Ω, F, P）:

关键词： Markov jump process stopped process stopping time compensator of random measure.

Global pattern of pairwise relationship in genetic network

在线全文

学校读者我要写书评

暂无评论

Journal of Biomedical Science and Engineering 2010年第10期3卷 978-986页

作者： Ao Yuan Qingqi Yue Victor Apprey George E. Bonney National Human Genome Center Howard University Washington DC USA.

In recent times genetic network analysis has been found to be useful in the study of gene-gene interactions, and the study of gene-gene correlations is a special analysis of the network. There are many methods for this goal. Most of the existing methods model the relationship between each gene and the set of genes under study. These methods work well in applications, but there are often issues such as non-uniqueness of solution and/or computational difficulties, and interpretation of results. Here we study this problem from a different point of view: given a measure.of pair wise gene-gene relationship, we use the technique of pattern image restoration to infer the optimal network pair wise relationships. In this method, the solution always exists and is unique, and the results are easy to interpret in the global sense and are computationally simple. The regulatory relationships among the genes are inferred according to the principle that neighboring genes tend to share some common features. The network is updated iteratively until convergence, each iteration monotonously reduces entropy and variance of the network, so the limit network represents the clearest picture of the regulatory relationships among the genes provided by the data and recoverable by the model. The method is illustrated with a simulated data and applied to real data sets.

关键词： Convergence Gene-Gene relationship Neighborhood Pattern analysis Relationship measure.

A REMARK UPON SAMPLE PROPERTIES OF N-PARAMETER α-DIMENSIONAL ORNSTEINUHLENBECK PROCESS

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 1991年第5期34卷 553-559页

作者：陈雄 Department of Mathematics Beijing Normal University Beijing 100088 PRC

Let {W（s）, s∈R+N} be the N-parameter Wiener process. Define the N-parameter Ornstein-Uhlenbeck process （OUP） as follows. XN,1（t）=e-a.t[ x0+σ∫[0,t]ea.ddW（a）]. Make XN,d={（X1（t）,…,Xd（t））, t∈R+N}, which is called （N, d） OUP, where Xi（1≤i≤d） are copies of the N-parameter OUP and are independent. As a result, for dd>0, a.s; d≥2N, there is |ImX|d=0 a.s., where |·|d denotes the d-dimensionalLebesgue measure.

关键词： Ornstein-Uhlenbeck process Hausdorff dimension Lebesgue measure.