Objectives: The goal of this paper is to introduce the ideas Contra soft generalized** (briefly g**). Continuous functions and almost g**) – in topological spaces. Additionally, we discussed some its characteristics. Methods: To obtain definition contra g**- continuous functions, used previously introduced definition(1) (i.e. inverse image every closed set FQ g**-closed FP). Also, regular open ...

Let A be a Banach algebra, and let E be a Banach A-bimodule. A linear map S :AMNE is intertwining if the bilinear map (a, b)PN (δ"S ) (a, b)B a[Sb®S(ab)­Sa[b, A¬AMNE, is continuous, and a linear map D :AMNE is a deriŠation if δ"D ̄ 0, so that a derivation is an intertwining map. Derivations from A to E are not necessarily continuous. The purpose of the present paper is to prove that the continui...

Let Map(K,X) denote the space of pointed continuous maps from a finite cell complex K to a space X. Let E∗ be a generalized homology theory. We use Goodwillie calculus methods to prove that under suitable conditions on K and X, Map(K,X) will send an E∗–isomorphism in either variable to a map that is monic in E∗ homology. Interesting examples arise by letting E∗ be K–theory, the finite complex K...

Two qualitatively different kinds of neural map have been described: continuous maps exemplified by the visual retinotopic map, and discrete maps exemplified by the olfactory glomerular map. Here, we review developmental mechanisms of retinotopic and olfactory glomerular mapping and discuss underlying commonalities that have emerged from recent studies. These include the use of molecular gradie...

Abstract In this paper, we analyze a bio-economic model of exploitation renewable commercial resources. To take into account the typically continuous-time modeling biological species and, instead, specialized harvesting activities, which by its nature cannot change continuously, resulting dynamic system is hybrid type, i.e. continuous for variables and discrete economic ones. Through discretiza...

This note is devoted to the answers to the following questions asked by V. I. Bogachev, B. Kirchheim and W. Schachermayer: 1. Let T : l1 → X be a linear map into the infinite dimensional Banach spaceX. Can one find a closed infinite dimensional subspace Z ⊂ l1 such that T ∣∣ Z is continuous? 2. Let X = c0 or X = lp (1 < p <∞) and let T : X → X be a linear map. Can one find a dense subspace Z of...

We consider crossovers with respect to the weak convergence theorems from a discretetime quantum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discreteand continuous-time random walks can be expressed as DTQWs in some limits. At first we generalize our previous study [Phys. Rev. A 81, 062129 (2010)] on the DTQW with position measurements. We show that the position measurem...

This paper depicts and evaluates an evolutionary design process for generating a complex self-organizing multicellular system based on Cellular Automata (CA). We extend the model of CA with a neural network that controls the cell behavior according to its internal state. The model is used to evolve an Artificial Neural Network controlling the cell behavior in a way a previously defined referenc...

BACKGROUND Hypocapnia induced following the accidental intravenous infusion of a local anesthetic can mitigate anesthetic toxicity, but the effects of hypocapnia induced prior to local anesthetic infusion are unknown. In this study, we examined the effects of prior hypocapnia on bupivacaine-induced cardiotoxicity in rats. METHODS Eighteen Sprague-Dawley rats were randomly divided into two gro...