In this paper, we first extend the concept of arity in crisp convex spaces to case fuzzification and give some related properties. From view hull operator, study relations between disjoint sum M-fuzzifying its factor spaces. We also examine additivity degree separability (S0,S1,S2,S3,S4). Finally, show that every space is JHC iff corresponding JHC.

Kautz series allow orthogonal series expansion of finiteenergy signals defined on a semi-infinite axis. The Kautz series consists of orthogonalized exponential functions or sequences. This series has as free parameters an ordered set of poles, each pole associated with an exponential function or sequence. For reasons of approximation and compact representation (coding), an appropriate set of or...

The aim of this paper is to extend the truth value table oflattice-valued convergence spaces to a more general case andthen to use it to introduce and study the quantale-valued fuzzy Scotttopology in fuzzy domain theory. Let $(L,*,varepsilon)$ be acommutative unital quantale and let $otimes$ be a binary operationon $L$ which is distributive over nonempty subsets. The quadruple$(L,*,otimes,varep...

A collaborative object represents a data type (such as a text document or a filesystem) designed to be shared by multiple geographically separated users. Data replication is a technology to improve performance and availability of data in distributed systems. Indeed, each user has a local copy of the shared objects, upon which he may perform updates. Locally executed updates are then transmitted...

A nuclear magnetic resonance study on a heptadecamer (17-mer) peptide comprising the DNA binding helix F of the cyclic AMP receptor protein of Escherichia coli is presented under solution conditions (viz. 40% (v/v) trifluorethanol) where it adopts an ordered helical structure as judged by circular dichroism. Using a combination of two-dimensional nuclear magnetic resonance techniques, complete ...

The backbone conformation of the 27-residue polypeptide hormone secretin has been investigated using nuclear magnetic resonance spectroscopy and restrained molecular dynamics calculations under conditions where it adopts a fully ordered structure (40% v/v trifluoroethanol). The basis for the restrained molecular dynamics calculations consists of 52 nuclear-Overhauser-enhancement-derived interpr...