we study topological von neumann regularity and principal von neumann regularity of banach algebras. our main objective is comparing these two types of banach algebras and some other known banach algebras with one another. in particular, we show that the class of topologically von neumann regular banach algebras contains all $c^*$-algebras, group algebras of compact abelian groups and cer...

The recently developed technique of Bohrification associates to a (unital) C*-algebra A 1. the Kripke model, a presheaf topos, of its classical contexts; 2. in this Kripke model a commutative C*-algebra, called the Bohrification of A; 3. the spectrum of the Bohrification as a locale internal in the Kripke model. We propose this locale, the ‘state space’, as a (n intuitionistic) logic of the phy...

Floods are a very regular phenomenon in Assam annually. The state gets lot of downpour the rainy season. Subsequently every one enormous water ways, beels, low lying zones and lakes loaded up with water. Flood is fundamental for fish creation natural fisheries Assam. get covered government authorized Natural River Beel Sivasagar, Nagaon Cachar locale three regions chosen based on geographical s...

In previous work of D. Turaev, A. Winter and the author, the Law of Large Numbers for the local mass of certain superdiffusions was proved under an ergodicity assumption. In this paper we go beyond ergodicity, that is we consider cases when the scaling for the expectation of the local mass is not purely exponential. Inter alia, we prove the analog of the Watanabe–Biggins LLN for super-Brownian ...

Applying (enriched) categorical structures we define the notion of ordered sheaf on a quantaloid Q, which we call ‘Q-order’. This requires a theory of semicategories enriched in the quantaloid Q, that admit a suitable Cauchy completion. There is a quantaloid Idl(Q) of Q-orders and ideal relations, and a locally ordered category Ord(Q) of Q-orders and monotone maps; actually, Ord(Q) = Map(Idl(Q)...

Résumé. Cet article traite de la problématique de la classification recouvrante (overlapping clustering) et propose deux variantes de l’approche OKM : OKMED et WOKM. OKMED généralise k-médoïdes au cas recouvrant, il permet d’organiser un ensemble d’individus en classes non-disjointes, à partir d’une matrice de distances. La méthode WOKM (Weighted-OKM) étend OKM par une pondération locale des cl...