In this paper, a local approach to the concept of Hudetz $g$-entropy is presented. The introduced concept is stated in terms of Hudetz $g$-entropy. This representation is based on the concept of $g$-ergodic decomposition which is a result of the Choquet's representation Theorem for compact convex metrizable subsets of locally convex spaces.

in this paper, a local approach to the concept of hudetz $g$-entropy is presented. the introduced concept is stated in terms of hudetz $g$-entropy. this representation is based on the concept of $g$-ergodic decomposition which is a result of the choquet's representation theorem for compact convex metrizable subsets of locally convex spaces.

Let $k$ be field of characteristic $p$, andlet $G$ be any finite group with splitting field $k$. Assume that $B$ is a $p$-block of $G$.In this paper, we introduce the notion of radical $B$-chain $C_{B}$, and we show that the $p$-local rank of $B$ is equals the length of $C_{B}$. Moreover, we prove that the vertex of a simple $kG$-module $S$ is radical if and only if it has the same vertex of th...

the objective of this study is to develop a novel methodology integrating remote sensing, geographic information system technology and local spatial autocorrelation geo-computation for quick drought assessment. one group of drought indices, based on the condition of the vegetation, includes the normalized difference vegetation index (ndvi), anomaly of normalized difference vegetation index (ndv...

Let $$C \rightarrow \mathop {{\mathrm{Spec}}}\nolimits (R)$$ be a relative proper flat curve over henselian base. G reductive C-group scheme. Under mild technical assumptions, we show that G-torsor C which is trivial on the closed fiber of locally for Zariski topology.

The management of the operations acting over distributed and virtual resources plays an important role for achieving the success of modern distributed applications. In this paper, we advocate a notion of resources as entities with their own local policies and containing their global interactive properties. We introduce a variant of π-calculus with primitives to declare, acquire and release reso...

‎Let $Omega$ be a class of unital‎ ‎$C^*$-algebras‎. ‎We introduce the notion of a local tracial $Omega$-algebra‎. ‎Let $A$ be an $alpha$-simple unital local tracial $Omega$-algebra‎. ‎Suppose that $alpha:Gto $Aut($A$) is an action of a finite group $G$ on $A$‎ ‎which has a certain non-simple tracial Rokhlin property‎. ‎Then the crossed product algebra‎ ‎$C^*(G,A,alpha)$ is a unital local traci...

The primary mode of action of local anesthetics is through sodium channel and axonal conduction blockade. Local anesthetics have also extensive effects on pre-synaptic calcium channels that must function to stimulate the release of neurotransmitters. Thus, interference with calcium channel conductance may enhance spinal anesthesia with local anesthetics. The present study was designed to invest...