CO—s闭拓扑

本文证明，当空间赋予ＣＯ－ｓ－闭石扑ｓ（τ）时，ｓ－连续函数概念与连续函数概念一致，研究了ｓ－ｘ闭空间；ｓ－闭空间的某些基本性质，且用其刻画几类ＣＯ－ｓ闭拓扑。     

关于点可数序列邻域网

Ｉｔｉｓｋｎｏｗｎｔｏａｌｌｔｈａｔｔｈｅｔｈｅｏｒｙｏｆｔｈｅｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅｃｏｖｅｒｓｂｅｏｎｅｏｆｔｈｅｍｏｓｔｉｍｐｏｒ－ｔａｎｔｓｕｂｊｅｃｔｓｉｎＧｅｎｅｒａｌＴｏｐｏｌｏｇｙ．Ｔｈｅｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅｃｏｖｅｒｓｗｉｔｈｖａｒｉｏｕｓｃｈａｒａｃｔｅｒｈａｖｅｂｅｅｎｄｉｓｃｕｓｓｅｄｂｙｍａｎｙｔｏｐｏｌｏｇｉｓｔｓ,ｓｕｃｈａｓＬｉｎａｎｄＴａｎａｋａ’ｓｐａｐｅｒ［１］ｏｎｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅＫ－ｎｅｔｗｏｒｋ．Ｉｎｔｈｉｓｐａｐｅｒ,ｗ…     

About Moore—Smith Convergence on l^＊—Module

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＩｎ１９９５，Ｍｒ．ＸｕＹａｎｇ，ｉｎｈｉｓｄｏｃｔｏｒａｌｄｉｓｓｅｒｔａｔｉｏｎ［１］，ｆｉｒｓｔｉｎｔｒｏｄｕｃｅｄａｄｏｕｂｌｅｌａｔｔｉｃｅ－ｏｒ－ｄｅｒｅｄａｌｇｅｂｒａｉｃｓｔｒｕｃｔｕｒｅｃａｌｌｅｄｌ－ｍｏｄｕｌｅａｎｄｄｉｓｃｕｓｓｅｄｉｔｓａｌｇｅｂｒａｉｃａｎｄａｎａｌｙｔｉｃａｌｐｒｏｐｅｒｔｉｅｓ，ｂｙｗｈｉｃｈｈｅｄｅａｌｔｗｉｔｈｔｈｅｐｒｏｂｌｅｍｏｆｌａｔｔｉｃｅ－ｖａｌｕｅｄｇａｍｅａｎｄｓｅｔｕｐｔｈｅｅｌｅｍｅｎｔａｌｔ…     

RLW—Burgers方程的精确解

借助未知函数的变换，ＲＬＷ－Ｂｕｒｇｅｒｓ方程和ＫｄＶ－Ｂｕｒｇｅｒｓ方程化为易于求解的齐次形式的方程，从而得到ＲＬＷ－Ｂｕｒｇｅｒｓ方程和ＫｄＶ－Ｂｕｒｇｅｒｓ方程的精确解。     

q-超球多项式与若干Rogers-Ramanujan型恒等式

利用ｑ－超球多项式的两个简单性质,建立了关于ｑ－级数的两个变换公式,借助这些变换公式并结合著名的Ｒｏｇｅｒｓ－Ｒａｍａｎｕｊａｎ恒等式,给出了若干Ｒｏｇｅｒｓ－Ｒａｍａｎｕｊａｎ型恒等式的简洁证明。     

On Torsion Theories of Regulars and V—Rings

ＬｅｔＲｂｅａｃｏｍｍｕｔａｔｉｖｅｒｉｎｇｗｉｔｈｉｄｅｎｔｉｔｙ，τｂｅａｈｅｒｅｄｉｔａｒｙｔｏｒｓｉｏｎｔｈｅｏｒｙｏｎＲ－ｍｏｄ．Ｔｈｅｃｏｎｃｅｐｔｉｏｎｓｗｈｉｃｈｗｅｈａｖｅｕｓｅｄｉｎｔｈｅｐａｐｅｒｃａｎｂｅｓｅｅｎｉｎ［１］．Ｄｅｆｉｎｉｔｉｏｎ１　ＴｈｅｒｉｎｇＲｉｓτυ－ｒｉｎｇｉｆｅｖｅｒｙｓｉｍｐｌｅｍｏｄｕｌｅｉｓτ－ｉｒｊｅｃｔｉｖｅ，ｔｈｅｒｉｎｇＲｉｓτ－ｒｅｇｕｌａｒｒｉｎｇｉｆｅｖｅｒｙＲ－ｍｏｄｕｌｅｉｓτ－ｆｌａｔ．Ｚｈａｎｇ［２］ｓｔｕｄｉｅｄτυ…     

Characterizations of Stable Functions on L—domains

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｐｕｒｐｏｓｅｏｆＤｏｍａｉｎｓｔｈｅｏｒｙ（ｉｎｔｒｏｄｕｃｅｄｂｙＤ．Ｓｃｏｔｔ）ｉｓｔｏｍｏｄｅｌｔｈｅｄｅｎｏｔａｔｉｏｎａｌｓｅ－ｍａｎｔｉｃｓｏｆｃｏｍｐｕｔｅｒｐｒｏｇｒａｍｍｏｎｇｌａｎｇｕａｇｅｓ［１］．Ａｎｉｍｐｏｒｔａｎｔｆｒａｍｅ－ｗｏｒｋｆｏｒｔｈｅｄｅｎｏｔａ－ｔｉｏｎａｌｓｅｍａｎｔｉｃｓｏｆｐｒｏｇｒａｍｍｉｎｇｌａｎｇｕａｇｅｓｉｓｔｈｅｃａｔｅｇｏｒｙｏｆＬ－ｄｏｍａｉｎｓｗｉｔｈｓｔａｂｌｅｆｕｎｃｔｉｏｎｓ．Ｌ－ｄｏｍ…     

Belousov—Zhabotinskii化学反应Field—Noyes模型的整体吸引子和 …

本文讨论Ｂｅｌｏｕｓｏｖ－Ｚａｂｏｔｉｎｓｋｉｉ化学反应Ｆｉｅｌｄ－Ｎｏｙｅｓ模型整体吸引子的存在性，维数估计以及性流形的存在性。     

η—Einstein—Sasaki子流形和它们的谱

本文证明了Ｓａｓａｋｉ空间形式中具有η－平形第二基本形式的η－Ｅｉｎｓｔｅｉｎ－Ｓａｓａｋｉ子流形在某些假定下由它的谱所决定；并给出了复Ｑｕａｄｒｉｃ上的圆周丛的谱特征。     

关于Piazza等人的一个猜想的证明

Ｐｉａｚｚａ;Ｒｏｂｅｒｔｓ和Ｓｔｕｅｃｋｌｅ在１９９５年猜想:任何一个完全ｎ－部图是严格边－韧性图(ｓｔｒｉｃｔｌｙ ｅｄｇｅ－ｔｅｎａｃｉｏｕｓ ｇｒａｐｈ) 本文证明了这个猜想．     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

English Series

正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science.     

CHINESE ANNALS OF MATHEMATICS SERIES B Volume 35 · 2014 TOTAL CONTENTS

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Congruences,ideals and annihilators in standard QBCC-algebras

We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels. Work on the paper was supported by Council of Czech Government No J14/98:153100011.     

A decomposition of continuity via ideals

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.      

When a compact (countably compact) set is closed. II

We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T ₄,-spaces.     

ASYMPTOTIC BEHAVIOR OF ECKHOFF＇S METHOD FOR FOURIER SERIES CONVERGENCE ACCELERATION

The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called ＂jumps＂ is studied and asymptotic L2 constants of the rate of convergence of the method are computed.