The dynamical behavior of a map on the unit interval has been the subject of much contemporary research. In this paper, we will consider the relation between the continuity of the map cof and cof for some positive integer k, where f is a continuous map from the unit interval to itself, and ?f is a function which takes any element of the unit interval to the set of all subsequential limits o...

We introduce a new class of fuzzy open sets called fuzzy $bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $bigwedge_e$ sets termed as fuzzy locally $bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $bigwedge_e$ continuity and fuzzy locally $bigwedge_e$ continuity which are weaker than fuzzy $e$-continuity and f...

Abstract. In this paper, we first derive specific results concerning the continuity and upper semi-continuity of the spectral radius and spectrum functions on fundamental locally multiplicative topological algebras. We continue our investigation by further determining the automatic continuity of linear mappings and homomorphisms in these algebras.

An Artificial Neural Network (ANN) was used to analyse the capillary rise in porous media. Wetting experiments were performed with fifteen liquids and fifteen different powders. The liquids covered a wide range  of  surface  tension ( 15.45-71.99  mJ/m2 )  and  viscosity (0.25-21 mPa.s). The powders also provided an acceptable range of particle size (0.012-45 μm) and surface free...

using analytical method of usul al-fiqh, the present essay deals with opinions of shiite usulis on this question whether continuity of the previous state can be used with regard to time, temporal affairs, and affairs conditioned upon time. as for the first, we investigate opinions of usulis in this connection first, answer the problem of lack of doubt as to subsistence and that of lack of unity...

in this paper, a very efficient method, called single matrix block analyzer (smba), has been developed to determine relative permeability and capillary pressure curves from spontaneous imbibition (si) data. smba mimics realistically the si tests by appropriate boundary conditions modeling. in the proposed method, a cuboid with an identical core plug height is considered. the equal dimensions of...