Entropy and ergodic probability for differentiable dynamical systems and their bundle extensions

We answer a problem of Liao [S.T. Liao, Standard systems of differential equations and obstruction sets—from linearity to perturbations, in: System Researches, Proceedings Dedicated to the 85th Anniversary of Qian Xue-Sen, Zhejiang Education Press, Hangzhou, China, 1996, pp. 279-290 (in Chinese)]: A C¹ vector field or a C¹ diffeomorphism on an n-dimensional manifold has equal entropy with that of its bundle extensions. We also prove that each ergodic probability with simple Lyapunov spectrum has at most n²n! covering probabilities on each bundle extension.     

L—fuzzy Ring and L—fuzzy Module

Ｌ－ｆｕｚｚｙＲｉｎｇａｎｄＬ－ｆｕｚｚｙＭｏｄｕｌｅＬ－ｆｕｚｚｙＲｉｎｇａｎｄＬ－ｆｕｚｚｙＭｏｄｕｌｅ￥ＳｕｎＲｏｎｇｇｕａｎｇＪｉａｎｇＢａｏｑｉｎｇ（ＨｕｍａｎＵｎｉｖｅｒｓｉｔｙ，Ｋａｉｆｅｎｇ，４７５００１）ＲｅｎＸｕｅｊｕｎ（Ｍｉｎｑ...     

新型稀土电子输运材料Tb(AcA)3·phen

Kido等人在文献[1]中报导,在研究有机电致发光(OEL)器件时发现,斓系化合物不能很好地传输载流子.但是,我们在实验中却现Tb(AcA)3phen·不仅是一种很好的OEL发射材料.而且具有很强的电子输运能力.     

SOME TOPICS ON WAVELET ANALYSIS

A review of the advance in the theory of wavelet analysis in recent years is given.     

Molecular deposition film of porphyrin and phthalocyanine bearing oppositely charged substituents

Ｔｈｅｆｏｒｍａｔｉｏｎｏｆａｎｅｗｔｙｐｅｏｆｓｅｌｆ＿ａｓｓｅｍｂｌｅｄｍｕｌｔｉｌａｙｅｒｆｉｌｍｓ,ｍｏｌｅｃｕｌａｒｄｅｐｏｓｉｔｉｏｎ(ＭＤ)ｆｉｌｍｓ[1,2],ｉｓａｆａｓｔｄｅｖｅｌｏｐｉｎｇａｒｅａｏｆｔｈｉｎｆｉｌｍｒｅｓｅａｒｃｈ.Ｔｈｉｓｎｅｗｍｅｔｈｏｄｏｆｆｉｌｍｐｒｅｐａｒａｔｉｏｎｉｓｂａｓｅｄｏｎｉｏｎｉｃａｔｔｒａｃｔｉｏｎｂｅｔｗｅｅｎｏｐｐｏｓｉｔｅｃｈａｒｇｅｄｃｈｒｏｍｏｐｈｏｒｅｓ.ＩｎｃｏｍｐａｒｉｓｏｎｗｉｔｈｔｈｅｃｌａｓｓｉｃＬａｎｇｍｕｉｒ＿Ｂｌｏ…