CHINESE ANNALS OF MATHEMATICS Vol.5 Ser.A No.1 1984 CONTENTS AND ABSTRACTS

The r-th Largest Values in Stationary Sequences,Xie Shengrong(谢盛荣).The asymptotic distributions of extreme values in stationary sequences are discussed underweak mixing conditions.Besides,several results are given about the moment convergences and the expectatoins oforder statistics for extreme values in stationary sequences.The Theorem of Stationary Phase in Higher Order,Li Zhishen(李志深).     

本刊英文版Vol.30(2014),No.10论文摘要(英文)

<正>on Double Vector Bundles Zhuo CHEN Zhang Ju LIU Yun He SHENG Abstract In this paper,we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles.Moreover,operations on double vector bundles can be transferred to operations on the corresponding short exact sequences.In particular,we study the duality theory of double vector bundles in term of     

On ideal convergence of double sequences in probabilistic normed spaces

The notion of ideal convergence is a generalization of statistical convergence which has been intensively investigated in last few years.For an admissible ideal ∮N× N,the aim of the present paper is to introduce the concepts of ∮-convergence and ∮*-convergence for double sequences on probabilistic normed spaces(PN spaces for short).We give some relations related to these notions and find condition on the ideal ∮ for which both the notions coincide.We also define ∮-Cauchy and ∮*-Cauchy double sequences on PN spaces and show that ∮-convergent double sequences are ∮-Cauchy on these spaces.We establish example which shows that our method of convergence for double sequences on PN spaces is more general.     

本刊英文版Vol.30(2014),No.7论文摘要(英文)

<正>Perturbations of Frames Dong Yang CHEN;;Lei LI;;Ben Tuo ZHENG Abstract In this paper,we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases.Similar results are also extended to frame sequences,Riesz sequences and Schauder frames.It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.Perturbations of Moore-Penrose Metric Generalized Inverses of Linear Operators in Banach Spaces Hai Feng MA;;Shuang SUN;;Yu Wen WANG;;Wen Jing ZHENG     

Some Convergence Sequences under Results for Arbitrary Moment Condition

Let {X n , n ≥ 1} be an arbitrary sequence of random variables. Some convergence results for the partial sums of arbitrary sequence of random variables are obtained, which generalize the known results for independent sequences, NA sequences, ρ-mixing sequences and φ-mixing sequences, and so on.     

On double vector bundles

In this paper, we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles. Moreover, operations on double vector bundles can be transferred to operations on the corresponding short exact sequences. In particular, we study the duality theory of double vector bundles in term of the corresponding short exact sequences. Examples including the jet bundle and the Atiyah algebroid are discussed.     

Perturbations of frames

In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder frames. It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.     

The Relative Transpose over Cohen-Macaulay Finite Artin Algebras

The relative transpose via Gorenstein projective modules is introduced, and some corresponding results on the Auslander-Reiten sequences and the Auslander-Reiten formula to this relative version are generalized.     

2006年第22卷第1期摘要

Kronecker Product of Two-dimensional Arrays—Lei Hu Kronecker sequences constructed from short sequences are good sequences for spread spectrum communication systems. In this paper we study a similar problem for two-dimensional arrays, and we determine the linear complexity of the Kronecker product of two arrays. Our result shows that similar good property on linear complexity holds for Kronecker product of arrays.     

本刊英文版Vol.29(2013),No.11论文摘要(英文)

<正>Vitali Type Convergence Theorems for Banach Space Valued Integrals Marek BALCERZAK Kazimierz MUSIAL Abstract Let(Ω,∑,μ)be a complete probability space and let X be a Banach space.We introduce the notion of scalar equi-convergence in measure which being applied to sequences of Pettis integrable functions generates a new convergence theorem.We also obtain a Vitali type I-convergence theorem for Pettis integrals where I is an ideal on N.On Universally Left-stability ofε-Isometry     

Points of Coincidence and Common Fixed Points for Ⅱ-Expansive Mappings on Complex Valued Metric Spaces

We use the two mappings satisfying Ⅱ-expansive conditions on complex valued metric spaces to construct the convergent sequences and prove that the unique limit of the sequences is the point of coincidence or common fixed point of the two mappings.Also,we discuss the uniqueness of points of coincidence or common fixed points and give the existence theorems of unique fixed points.The obtained results generalize and improve the corresponding conclusions in references.     

关于线性正算子逼近的若干结果

In this paper we consider the degree of approximation of continuous function and intergrable function on the space with dimension m≥2 by the sequences of positive linear operators. Besides, we prove the Kolovkin type theorem for point-wise convergence of the sequences of positive linear operators.     

RADIATION BOUNDARY CONDITIONS FOR MAXWELL＇S EQUATIONS： A REVIEW OF ACCURATE TIME-DOMAIN FORMULATIONS

We review time-domain formulations of radiation boundary conditions for Maxwell＇s equations, focusing on methods which can deliver arbitrary accuracy at acceptable compu-tational cost. Examples include fast evaluations of nonlocal conditions on symmetric and general boundaries, methods based on identifying and evaluating equivalent sources, and local approximations such as the perfectly matched layer and sequences of local boundary conditions. Complexity estimates are derived to assess work and storage requirements as a function of wavelength and simulation time.     

ACTA MATHEMATICAE APPLICATAE SINICA Vol.25 2002 CONTENTS

No.1Decompositions of the Joint Distributions and of the Second Moments for Random Variables over Finite Fields and Their Applications…JIN Chenhui,LI BaohongBin Packing Problem with over Sized Items and a New Algorithm................. ..……..........……….….………..........XING Wenxun.CHEN FengUniqueness of Mss Sequences for Nonisosceles Trapezoidal Maps...................(7)(14) ………………………………………………ZHANG Rong,WANG Li(211 The Characterizations of Benso…     

On the Applications of the Linear Recurrence Relationships to Pseudoprimes

We present here some results on the applications of linear recursive sequences of order $2$ to the Fermat pseudoprimes, Fibonacci pseudoprimes, and Dickson pseudoprimes.     

MULTI-VALUED CROSSCORRELATION FUNCTION FOR m-SEQUENCES

Based on the theory of exponential sums and quadratic forms over finite field, the crosscorrelation function values between two maximal linear recursive sequences are determined under some conditions.     

Lp Convergence of Generalized Fourier Series Deduced by Piecewise Linear Spectral Sequences

In the present paper, we discuss some properties of piecewise linear spectral sequences introduced by Liu and Xu. We have a study on the pointwise and almost everywhere convergence of its corresponding series. Also, it is shown that the set G constructed from piecewise linear spectral sequences are bases, but not unconditional bases, for LP（0, 1） where 1 〈 p 〈 ∞, p ≠2.     

随机级数的例外函数

On random series, people usually study the case of equally distributed random variable sequences, such as Rademacher, Steinhaus and Gauss sequences, and discuss the exceptional constant values. In this paper, we extend the Lemma of PaleyZygmund to more general case, in order to study the random Taylor series of non equal distribution. Then we prove that for the random Taylor series almost surely (a. s.), there is no almost surely exceptional function, and that every point on the circumferen…     

Improving the complexity of chaotic sequence based on the PCA algorithm

The principal component analysis (PCA) is an effective statistical analysis method in statistical data analysis, feature extraction and data compression. The method simplifies multiple related variables into a linear combination of several irrelevant variables, through the less-comprehensive index as far as possible to replace many of the original data, and can reflect the information provided by the original data. This paper studies the signal feature extraction algorithm based on PCA, and extracts sequences’ feature which generated by Logistic mapping. Then we measured the complexity of the reconstructed chaotic sequences by the permutation entropy algorithm. The testing results show that the complexity of the reconstruction sequences is significantly higher than the original sequences.     

On Smarandache Multiplicative Sequence and Its Generation

The main purpose of this paper is to introduce the general Smarandache multiplicative sequence based on the Smarandache multiplicative sequence, and calculate the value of some infinite series involving these sequences.