The Lie derivation of multivector fields along multivector fields has been introduced by Schouten (see cite{Sc, S}), and studdied for example in cite{M} and cite{I}. In the present paper we define the Lie derivation of differential forms along multivector fields, and we extend this concept to covariant derivation on tangent bundles and vector bundles, and find natural relations between them and...

Let  be a Banach algebra. Let  be linear mappings on . First we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple Banach algebras, in certain case. Afterwards we define a new vocabulary called “-higher double derivation” and present a relation between this subject and derivations and finally give some ...

let $mathcal{a}$ be a banach algebra and $mathcal{m}$ be a banach $mathcal{a}$-bimodule. we say that a linear mapping $delta:mathcal{a} rightarrow mathcal{m}$ is a generalized $sigma$-derivation whenever there exists a $sigma$-derivation $d:mathcal{a} rightarrow mathcal{m}$ such that $delta(ab) = delta(a)sigma(b) + sigma(a)d(b)$, for all $a,b in mathcal{a}$. giving some facts concerning general...

1 Department of Pharmaceutical Sciences, Faculty of Pharmacy, the University of Jordan, Amman, Jordan. 2 Department of Pharmacology and Biomedical Sciences, Faculty of Pharmacy and Medical Sciences, Petra University, Amman, Jordan. 3 Department of Biopharmaceutics and Clinical Pharmacy, Faculty of Pharmacy, the University of Jordan, Amman, Jordan. 4 Department of Pharmaceutics and Pharmaceutica...

Jordan University of Science and Technology (Irbid, Jordan), Research Triangle Institute (North Carolina, USA) and Virgina Polytechnic Institute and State University (Virgina, USA) were granted an R21 planning grant funded by FDA, USA through an International Cooperative Biodiversity Group (ICBG) program to study the Hashemite Kingdom of Jordan’s flora and soil microorganism as a source of new ...

Jordan University of Science and Technology (Irbid, Jordan), Research Triangle Institute (North Carolina, USA) and Virgina Polytechnic Institute and State University (Virgina, USA) were granted an R21 planning grant funded by FDA, USA through an International Cooperative Biodiversity Group (ICBG) program to study the Hashemite Kingdom of Jordan’s flora and soil microorganism as a source of new ...

Column-block partitioning is commonly used in the parallelization of Gaussian-Elimination(GE) and Gauss-Jordan(GJ) algorithms. It is therefore of interest to know performance bounds of such partitioning on scalable distributed-memory parallel architectures. In this paper, we use a graph-theoretic approach in deriving asymptotic performance lower bounds of column-block partitioning for both GE a...

The rapidity of environmental degradation and the recent popularity of the concept of sustainability have made clear how successful traditional societies have been in coexisting with nature. Architects, in responding to this rising awareness, are searching for models of the reinterpreta­ tion of tradition, seeking examples and guidelines. Three practitioners who anticipated the need for a reexa...