in this paper, rstly, it is proved that, for a fuzzy vector space, the set of its fuzzy bases de ned by shi and huang, is equivalent to the family of its bases de ned by p. lubczonok. secondly, for two fuzzy vector spaces, it is proved that they are isomorphic if and only if they have the same fuzzy dimension, and if their fuzzy dimensions are equal, then their dimensions are the same, however,...

Prostate cancer (PCa) cells undergoing neuroendocrine differentiation (NED) are clinically relevant to the development of relapsed castration-resistant PCa. Increasing evidences show that autophagy involves in the development of neuroendocrine (NE) tumors, including PCa. To clarify the effect of autophagy on NED, androgen-sensitive PCa LNCaP cells were examined. Treatment of LNCaP cells with IL...

We view an Intelligent Information System (IIS) as composed of a unified knowledge base, database, and model base. The model base includes decision support models such as growth and yield simulation models, forecasting models, and visualization models for example. In addition, we feel that the model base should include domain specific problem solving modules as well as decision support models. ...

Formulas from monadic second order (mso) logic with one and two free variables can be used to deene the nodes and edges (respectively) of a graph, in terms of a given graph. Such mso deenable graph transductions play a role in the theory of graph grammars. Here we investigate the special case of trees. The main result is that the mso deenable tree transductions are exactly those tree transducti...

In this paper, we present a generalization of Edwards model for elliptic curve which is de ned over any eld and in particular for eld of characteristic 2. This model generalize the well known Edwards model of [10] over characteristic zero eld, moreover it de ne an ordinary elliptic curve over binary elds. For this, we use the theory of theta functions and an intermediate model embed in P that w...

The concept of consciousness is a hybrid or better, a mongrel concept: the word 'consciousness' connotes a number of different concepts and denotes a number of different phenomena. We reason about "consciousness" using some premises that apply to one of the phenomena that fall under "consciousness," other premises that apply to other "consciousness" and we end up with trouble. There are many pa...

Even more than other recent archaeological fi nds from East Asia, ancient Chinese manuscripts have ignited strong academic excitement. While much attention is focused on the philosophical interpretation of these texts, we are only beginning to explore their social circumstances and modes of production, to relate them to other tomb artifacts alongside which they were buried, and to explain their...