基于BP网络和RBF网络的模糊系统建模

Ｗｈｅｎａｐｐｌｙｉｎｇａｆｕｚｚｙｃｏｎｔｒｏｌｍｅｔｈｏｄｏｒａｎｉｎｔｅｌｌｉｇｅｎｃｅｃｏｎｔｒｏｌｍｅｔｈｏｄｔｏａｎｅｆｆｅｃｔｉｖｅｃｏｎｔｒｏｌｏｖｅｒａｃｏｍｐｌｅｘｓｙｓｔｅｍ,ｉｔｉｓｓｏｍｅｔｉｍｅｓｎｅｃｅｓｓａｒｙｔｏｉｄｅｎｔｉｆｙｓｙｓｔｅｍａｔｉｃｓｔｒｕｃｔｕｒｅａｎｄｐａｒａｍｅｔｅｒｓ．Ｍａｔｈｅｍａｔｉｃａｌｌｙ,ｉｔｉｓｊｕｓｔｔｈｅｐｒｏｂｌｅｍｓｏｆｕｎｉｖｅｒｓａｌｆｕｎｃｔｉｏｎａｌａｐｐｒｏｘｉｍａｔｉｏｎａｎｄｆｕｎｃｔｉｏｎａｐｐｒｏｘｉ…     

A GENERALIZED GAUSS-TYPE QUADRATURE FORMULA AND ITS APPLICATIONS TO PSEUDOSPECTRAL METHOD

1　ＩｎｔｒｏｄｕｃｔｉｏｎＳｐｅｃｔｒａｌｍｅｔｈｏｄｅｍｐｌｏｙｓｇｌｏｂａｌｐｏｌｙｎｏｍｉａｌｓａｓｔｒｉａｌｆｕｎｃｔｉｏｎｓｉｎｓｐａｔｉａｌｄｉｓｃｒｅｔｉｚａｔｉｏｎｏｆｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ.Ｉｔｏｆｔｅｎｐｒｏｖｉｄｅｓａｃｃｕｒａｔｅｎｕｍｅｒｉｃａｌｒｅｓｕｌｔｓｗｉｔｈｒｅｌａｔｉｖｅｌｙｌｅｓｓｄｅｇｒｅｅｏｆｆｒｅｅｄｏｍｓ,ａｎｄｔｈｕｓｈａｓｂｅｅｎｓｕｃｃｅｓｓｆｕｌｌｙｕｓｅｄｆｏｒｃｏｍｐｕｔａｔｉｏｎｓｉｎｓｃｉｅｎｃｅａｎｄｅｎｇｉｎ…     

Infinite Matrix Rings on Spaces with Signed-Weakly Gliding Hump Property

Ｌｅｔωｂｅｔｈｅｓｐａｃｅｏｆａｌｌｓｃａｌａｒｖａｌｕｅｄｓｅｑｕｅｎｃｅｓ,ａｎｄ φｉｔｓｓｕｂｓｐａｃｅｗｉｔｈｏｎｌｙｆｉｎｉｔｅｌｙｍａｎｙｎｏｎ ｚｅｒｏｃｏｏｒｄｉｎａｔｅｓ.ＡｌｉｎｅａｒｓｕｂｓｐａｃｅＥｏｆωｉｓｃａｌｌｅｄａｓｅｑｕｅｎｃｅｓｐａｃｅ.　Ｗｅｓａｙｔｈａｔａｎｏｎ ｚｅｒｏｖｅｃｔｏｒｓｅｑｕｅｎｃｅ {ｚ(ｎ) }ｉｎωｉｓａｂｌｏｃｋｓｅｑｕｅｎｃｅｉｆｔｈｅｒｅｅｘｉｓｔｓａｓｔｒｉｃｔｌｙｉｎｃｒｅａｓｉｎｇｓｅｑｕｅｎｃｅｏｆｐｏｓｉｔｉｖｅｉｎｔｅｇｅｒ…     

一个耦合系统自由边界问题的整体古典解

§ 1　ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒｗｅｄｉｓｃｕｓｓｔｈｅｇｌｏｂａｌｃｌａｓｓｉｃａｌｓｏｌｕｔｉｏｎｏｆａｍｕｌｔｉｄｉｍｅｎｓｉｏｎａｌｑｕａｓｉｓｔａｔｉｏｎａｒｙｐｒｏｂｌｅｍ .Ｔｈｅｐｒｏｂｌｅｍｃｏｍｅｓｆｒｏｍｔｈｅｄｉｓｃｕｓｓｉｏｎｏｆａｇｒｏｗｔｈｍｏｄｅｌｏｆｓｅｌｆｍａｉｎｔａｉｎｉｎｇｐｒｏｔｏｃｅｌｌ(ｓｅｅ [1— 3])ｉｎｍｕｌｔｉｄｉｍｅｎｓｉｏｎａｌｃａｓｅ .Ｔｈｅｐｒｏｔｏｃｅｌｌｃａｎｂｅｖｉｓｕａｌｉｚｅｄａｓｈａｖｉｎｇａｐｏｒｏｕｓｓｔ…     

Compact-Covering ss-Images of Metric Spaces

ＡｃｅｎｔｒａｌｐｒｏｂｌｅｍｏｆＡｌｅｘａｎｄｒｏｆｆ’ｓｉｄｅａｉｓｔｏｅｓｔａｂｌｉｓｈｔｈｅｒｅｌａｔｉｏｎｓｈｉｐｓｂｅｔｗｅｅｎｖａｒｉｏｕｓｔｏｐｏｌｏｇｉｃａｌｓｐａｃｅｓａｎｄｍｅｔｒｉｃｓｐａｃｅｓｂｙｍｅａｎｓｏｆｖａｒｉｏｕｓｍａｐｐｉｎｇｓ .Ｔｈｅｃｏｎｃｅｐｔｏｆｋ ｎｅｔｗｏｒｋｐｌａｙｓａｎｉｍｐｏｒｔａｎｔｒｏｌｅｉｎｓｔｕｄｙｉｎｇｔｈｉｓｐｒｏｂｌｅｍ .Ｗｅｋｎｏｗｔｈａｔａｔｏｐｏｌｏｇｉｃａｌｓｐａｃｅｈａｓａｌｏｃａｌｌｙｃｏｕｎｔａｂｌｅｋ ｎｅｔｗｏ…     

Some Properties of Fuzzy Filter and Its Category

Ｉｎｏｒｄｅｒｔｏｓｔｕｄｙｍａｎｙｖａｌｕｅｄｌｏｇｉｃｓｙｓｔｅｍａｎｄｅｖｅｎｔｈｅｌｏｇｉｃｓｙｓｔｅｍｂａｓｅｄｏｎｌａｔｔｉｃｅ，ａｎａｌｇｅｂｒａｉｃｓｔｒｕｃｔｕｒｅ－ｌａｔｔｉｃｅｉｍｐｌｉｃａｔｉｏｎａｌｇｅｂｒａｗａｓｉｎｔｒｏｄｕｃｅｄｉｎｒｅｆｅｒｅｎｃｅ［１］．Ｔｈｅｓｔｕｄｙｏｆｌａｔｔｉｃｅｉｍｐｌｉｃａｔｉｏｎａｌｇｅｂｒａａｓａｌｇｅｂｒａｉｃｓｙｓｔｅｍｉｓｏｆｉｎｄｅｐｅｎｄｅｎｔｉｎｔｅｒｅｓｔ．Ｉｎｒｅｆｅｒｅｎｃｅ［２，３］ｓｏｍｅｐｒｏｐｅｒｔｉｅ…     

NUMERICAL METHODS FOR MISCIBLE DISPLACEMENT IN POROUS MEDIA INFLUENCED BY MOBILE WATER AND IMMOBILE WATER

1　ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｒｅｃｅｎｔｙｅａｒｓ,ｔｈｅｉｎｔｅｎｔｉｏｎａｌｏｒａｃｃｉｄｅｎｔａｌｒｅｌｅａｓｅｏｆｔｈｅｃｈｅｍｉｃａｌｗａｓｔｅｓｏｎｓｏｉｌｓｈａｓｆｕｒｔｈｅｒｓｔｉｍｕｌａｔｅｄｃｕｒｒｅｎｔｉｎｔｅｒｅｓｔｓｉｎｔｈｅｍｏｖｅｍｅｎｔｏｆｃｈｅｍｉｃａｌｓ.Ｄｉｓｐｌａｃｅｍｅｎｔｓｔｕｄｉｅｓｈａｖｅｂｅｃｏｍｅｉｍｐｏｒｔａｎｔｔｏｏｌｓｉｎｓｏｉｌｐｈｙｓｉｃｓ,ｐａｒｔｉｃｕｌａｒｌｙｆｏｒｐｒｅｄｉｃｔｉｎｇｔｈｅｍｏｖｅｍｅｎｔｏｆｐｅｓｔｃｉｄｅｓ…     

REALHYPERSURFACESWITHCONSTANTPRINCIPALCURVATUREINCOMPLEXHYPERBOLICSPACES

ＡｂｓｔｒａｃｔＬｅｔＭｂｅａｒｅａｌｈｙｐｅｒｓｕｒｆａｃｅｗｉｔｈｔｈｒｅｅ．ｄｉｓｔｉｎｃｔｃｏｎｓｔａｎｔｐｒｉｎｃｉｐａｌｃｕｒ－ｖａｔｕｒｅｓｉｎｔｗｏｄｉｍｅｎｓｉｏｎａｌｃｏｍｐｌｅｘｈｙｐｅｒｂｏｌｉｃｓｐａｃｅＣＨ，ｔｈｅｎｅｉｔｈｅｒ（ａ）Ｍｈａｓｔｗｏｐｒｉｎｃｉｐａｌｃｕｒｖａｔｕｒｅｓｗｈｏｓｅｄｉｆｆｅｒｅｎｃｅｉｓｌａｒｇｅｔｈａｎｚｅｒｏａｎｄｌｅｓｓｔｈａｎｏｎｅ．（ｂ）ＴｈｅｔｈｒｅｅｐｒｉｎｃｉｐａｌｃｕｒｖａｔｕｒｅｓｏｆＭｆｏｒｍａｎｅｑｕｉｄｉｆｆｅｒｅｎｃｅｓｅｑｕｅｎｃｅｗｈｏｓｅｃｏｍｍｏｎｄｉｆｆｅｒｅｎｃｅｉｓｏｎｅ；（ｃ）Ｍｉｓｈｏｌｏｍｏｒｐｈｉｃｃｏｎｇｒｕｅｎｔｔｏａｎｏｐｅｎｐａｒｔｏｆａｔｕｂｅａｒｏｕｎｄｒｅａｌｔｗｏｄｉｍｅｎｔｉｏｎａｌｈｙｐｅｒｂｏｌｉｃｓｐａｃｅ．．Ｋｅｙｗｏｒｄｓ．Ｒｅａｌｈｙｐｅｒｓｕｒｆａｃｅｃｏｍｐｌｅｘｈｙｐｅｒｂｏｌｉｃｓｐａｃｅｔｕｂｅｌｅｑｕｉｄｉｆｆｅｒｅｎｃｅｓｅｑｕｅｎｃｅ     

Two Dimensional Submanifolds in Four Manifolds with Boundary

§０．　ＩｎｔｒｏｄｕｃｔｉｏｎＦｏｒａｃｌｏｓｅｄ４－ｍａｎｉｆｏｌｄ,ｉｔｉｓｗｅｌｌｋｎｏｗｎｔｈａｔａｎｙｔｗｏｄｉｍｅｎｓｉｏｎａｌｈｏｍｏｌｏｇｙｃｌａｓｓｃａｎｂｅｒｅｐｒｅｓｅｎｔｅｄｂｙａｎｅｍｂｅｄｄｅｄｓｕｒｆａｃｅ．Ａｆｕｎｄａｍｅｎｔａｌｐｒｏｂｌｅｍｉｎ４－ｄｉｍｅｎｓｉｏｎａｌｔｏｐｏｌｏｇｙｉｓｔｏｆｉｎｄａｓｕｒｆａｃｅｗｉｔｈｍｉｎｉｍａｌｇｅｎｕｓｗｈｉｃｈｒｅｐｒｅｓｅｎｔｓｔｈｅｇｉｖｅｎｈｏｍｏｌｏｇｙｃｌａｓｓ．Ａｓｐｅｃｉａｌｃａｓｅｏｆｔｈｉｓｑ…     

离散的Painlevé方程Ⅱ的有理解

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＮｏｎｌｉｎｅａｒｉｎｔｅｇｒａｂｌｅｄｉｓｃｒｅｔｅｓｙｓｔｅｍｓａｒｅｎｏｗａｔｔｒａｃｔｉｎｇｍｕｃｈａｔｔｅｎｔｉｏｎ．Ａｍｏｎｇｔｈｅｍ,ｔｈｅｄｉｓｃｒｅｔｅＰａｉｎｌｅｖéｅｑｕａｔｉｏｎｓａｒｅｅｘｐｅｃｔｅｄｔｏｂｅｔｈｅｍｏｓｔｆｕｎｄａｍｅｎｔａｌｏｎｅｓｉｎａｎａｌｏｇｙｔｏｔｈｅｃｏｎｔｉｎｕｏｕｓｃａｓｅ．Ｃｌｏｓｅｒｓｔｕｄｉｅｓａｒｅｈｏｗｒｅｖｅａｌｉｎｇｔｈｅｉｒｒｉｃｈｍａｔｈｅｍａｔｉｃａｌｓｔｒｕｃｔｕｒｅｓ,ｓｕｃｈａｓ…     

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

<正>~~     

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.