Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric ...

Let $A$ be a Banach algebra and $E$ be a Banach $A$-bimodule then $S = A oplus E$, the $l^1$-direct sum of $A$ and $E$ becomes a module extension Banach algebra when equipped with the algebras product $(a,x).(a^prime,x^prime)= (aa^prime, a.x^prime+ x.a^prime)$. In this paper, we investigate $triangle$-amenability for these Banach algebras and we show that for discrete inverse semigroup $S$ with...

‎Let $G=(V,E)$ be a graph‎. ‎A subset $Ssubset V$ is a hop dominating set‎‎if every vertex outside $S$ is at distance two from a vertex of‎‎$S$‎. ‎A hop dominating set $S$ which induces a connected subgraph‎ ‎is called a connected hop dominating set of $G$‎. ‎The‎‎connected hop domination number of $G$‎, ‎$ gamma_{ch}(G)$,‎‎‎ ‎is the minimum cardinality of a connected hop‎‎dominating set of $G$...

Hayes's [1985] contained-stuff and piece-of-stuff ontologies for liquids sho w that it is often desirable or necessary to shift to a proper ontological abstraction i n reasoning about complex physical systems . The importance of such an ontological shift becomes clear in the resulting explanation of why the system has the manifested behavior . In this paper, we identify a charge-carrier (CC) on...

One of the five AES finalists, MARS, makes use of a 9x32 s-box with very specific combinatorial, differential and linear correlation properties. The s-box used in the cipher was selected as the best from a large sample of pseudo randomly generated tables, in a process that took IBM about a week to compute. This paper provides a faster and more effective alternative generation method using heuri...

The SAM domain of the Saccharomyces cerevisiae post-transcriptional regulator Vts1 has a high affinity towards RNA hairpins containing a CUGGC pentaloop. We present the 1.6 Angstroms X-ray crystal structure of the Vts1 SAM domain in its unliganded state, and the NMR solution structure of this domain in its RNA-bound state. Both structures reveal a canonical five helix SAM domain flanked by addi...

We describe a detailed experimental investigation of the phase transition for several diierent classes of satissability problems including random k-SAT, the constant probability model, and encodings of k-colourability and the independent set problem. We show that the conventional picture of easy-hard-easy behaviour is inadequate. In each of the problem classes, although median problem diiculty ...

A new distinguishing property against block ciphers, called the division property, was introduced by Todo at Eurocrypt 2015. Our work gives a new approach to it by the introduction of the notion of parity sets. First of all, this new notion permits us to formulate and characterize in a simple way the division property of any order. At a second step, we are interested in the way of building dist...

Digital content providers seek to restrict usage by implementing conditional access. One such scenario is the security aspects of digital video broadcast (DVB-S). There has been a history of attacks on this technology to circumvent any security measures and some techniques have been countered by the deployment of customised/provider specific receivers. However, this leads to less choice and the...