In this paper, the modified Korteweg-de Vries (mKdV) equation with variable coefficients (vc-mKdV equation) is investigated via two kinds of approaches and symbolic computation. On the one hand, we firstly reduce the vc-mKdV equation to a second-order nonlinear nonhomogeneous ODE using travelling wave-like similarity transformation. And then we obtain its many types of exact fractional solution...

Most recent work on reasoning with cases in law has taken the style of reasoning used in the CATO system as its model, and uses the notion of factors, as found in that system. Fundamental to CATO, a successor the HYPO system, were factors, which are closely related to HYPO-style dimensions. In this paper, we will argue that the simplification involved in using factors, while it has proved pragm...

We refine the bound on the packing number, originally shown by Haussler, for shallow geometric set systems. Specifically, let V be a finite set system defined over an n-point set X; we view V as a set of indicator vectors over the n-dimensional unit cube. A δ-separated set of V is a subcollection W, s.t. the Hamming distance between each pair u,v ∈W is greater than δ, where δ > 0 is an integer ...

<p style='text-indent:20px;'>In this paper, we mainly show a close relationship between topological entropy and mean dimension theory for actions of polynomial growth groups. We that metric Hausdorff subshifts with respect to the lower rank subgroup are equal its multiplied by rate subgroup. Meanwhile, prove above result holds distortion measure entropy. Furthermore, present some examples...

In this paper, a new technique called symbolic kernel Principal Component Analysis (KPCA) is explored to develop a model for face representation and recognition. The conventional kernel PCA method extracts single valued features from the original image space to represent face images. The proposed method reduces the dimensionality of original image space by representing the face images as symbol...

There has been considerable debate about the relative merits of tabular and graphical presentation styles but experimental results are contradictory. One source of these inconsistencies might lie in mismatches between spatial/symbolic tasks and symbolic/spatial presentations. A comparative evaluation of tabular and graphical presentation styles for information retrieval search results was condu...

This paper analyzes social representations of breast cancer and discusses the possibility of including symbolic aspects in the approach to this disease. The methodology is based on both a critical review of the theme (highlighting socio-anthropological issues) and the authors' experience in the field of oncology. The paper thus focuses on: (a) historical aspects of clinical and surgical approac...

  Poetry translation involves cognition, discourse, and action by and between human s and textual a c- tors in physical and social settings. The aim of this study was to find out to what extent the non - native translator of Nizami Ganjavi’s “Leili and Majnun” could preserve the poetic imagery in its English translation. To this end, an innovative taxonomic model, which could investiga...