Course evaluation is an important and necessary means to improve the level of course. A new course evaluation method based on fractional grey relational distance and analytic hierarchy process (AHP) is proposed in this paper. Firstly, the proportion of the different influence factors can be determined through constructing judging-matrix and calculating-back-to-one and dealing with the checkout ...

1047-3203/$ see front matter 2012 Elsevier Inc. A http://dx.doi.org/10.1016/j.jvcir.2012.04.010 q This work is supported by National Natural Scienc Grant Nos. 60805012, 61033004, and 61070138, an 20090203110003. ⇑ Corresponding author. E-mail addresses: [email protected] (J. [email protected] (G. Shi). In this paper, we introduce a novel just noticeable difference (JND) threshold ...

We define and study pseudo-differential operators on a class of fractals that include the post-critically finite self-similar sets and Sierpinski carpets. Using the sub-Gaussian estimates of the heat operator we prove that our operators have kernels that decay and, in the constant coefficient case, are smooth off the diagonal. Our analysis can be extended to product of fractals. While our resul...

We define and study pseudo-differential operators on a class of fractals that include the post-critically finite self-similar sets and Sierpinski carpets. Using the sub-Gaussian estimates of the heat operator we prove that our operators have kernels that decay and, in the constant coefficient case, are smooth off the diagonal. Our analysis can be extended to products of fractals. While our resu...

In this paper, by applying a diffusion process, we propose a new index to quantify the similarity between two users in a user-object bipartite graph. To deal with the discrete ratings on objects, we use a multi-channel representation where each object is mapped to several channels with the number of channels being equal to the number of different ratings. Each channel represents a certain ratin...

We consider a coagulation equation with constant coefficients and a time dependent power law input of monomers. We discuss the asymptotic behaviour of solutions as t→∞, and we prove solutions converge to a similarity profile along the non-characteristic direction.

We generalize the construction of linear codes via skew polynomial rings by using Galois rings instead of finite fields as coefficients. The resulting non commutative rings are no longer left and right Euclidean. Codes that are principal ideals in quotient rings of skew polynomial rings by a two sided ideals are studied. As an application, skew constacyclic self-dual codes over GR(4) are constr...

Organ localization is an important topic in medical imaging in aid of cancer treatment and diagnosis. An example are the pharmacokinetic model calibration methods based on a reference tissue, where a pectoral muscle delineation in breast MRI is needed to detect malignancy signs. Atlas-based segmentation has been proven to be powerful in brain MRI. This is the first attempt to apply an atlas-bas...

recommender systems (rs) provide personalized recommendation according to user need by analyzing behavior of users and gathering their information. one of the algorithms used in recommender systems is user-based collaborative filtering (cf) method. the idea is that if users have similar preferences in the past, they will probably have similar preferences in the future. the important part of col...

The computational framework used the traditional similarity measures to find out the significant relationships in biological annotations. But its prerequisites that the biological annotations do not cooccur with each other is particular. To overcome it, in this paper a new method Improved Algorithm for Maximal Information Coefficient (IAMIC) is suggested to discover the hidden regularities betw...