This paper proposed the fractional order gray prediction algorithm to improve prediction accuracy in uncertainty signal. This paper is the first to propose the measurement method of the gray information of signals. The fractional order gray prediction algorithm is deduced through fractional order Taylor expansion formula. The measurement method of the gray information of signals is provided by ...

The multiscale finite element method (MsFEM) [T. Y. Hou, X. H. Wu, and Z. Cai, Math. Comp., 1998, to appear; T. Y. Hou and X. H. Wu, J. Comput. Phys., 134 (1997), pp. 169–189] has been introduced to capture the large scale solutions of elliptic equations with highly oscillatory coefficients. This is accomplished by constructing the multiscale base functions from the local solutions of the ellip...

Article history: Received 9 May 2012 Revised 17 February 2013 Accepted 30 April 2013 Available online 14 May 2013 Communicated by Xiang-dong Hou MSC: 14M15 20B25 94B05 94B27

A visual cryptography scheme (VCS) is a secret sharing method, for which the secret can be decoded by human eyes without needing any cryptography knowledge nor any computation. Variance is first introduced by Hou et al. in 2005 and then thoroughly verified by Liu et al. in 2012 to evaluate the visual quality of size invariant VCS. In this paper, we introduce the idea of using variance as an err...

All students of the Hellenic Open University (HOU) attend undergraduate and postgraduate courses at a distance. The lack of a live academic community is reported by many as a drawback in their studies. Systematic exploitation of new communication and collaboration technologies is desirable in the HOU but cannot be imposed universally as the average student’s IT competence level is relatively lo...

Psychological and psychiatric dysfunction is a major problem in a substantial proportion of young adults with Down syndrome. Some patients develop psychiatric issues, such as depressive, obsessive-compulsive, or psychotic-like disorders, in their late adolescence or young adulthood. Furthermore, these individuals may experience moderate to severe emotional and psychological distress. Developmen...

Confined flow effects Most memory resistor (“memristor”) systems use electrons as the charge carrier but it may also be possible to ionic carriers, similar way that neurons work. Robin et al . studied an aqueous electrolyte confined into a pseudo two-dimensional gap between two graphite layers (see Perspective by Hou and Hou). The authors observed current–voltage relation exhibits hysteresis, c...