General properties of new models of the electronic Fock spaces based on the notion of (p, q)-sheaves are studied. Interrelation between simple sheaves and density operators is established. Explicit expressions for the transformed reduced Hamiltonians in terms of the standard creation-annihilation operators are presented. General scheme of parametrization of p-electron states by κ-electron means...

In this paper, the concept of fuzzy automata normed linear structure spaces is introduced and suitable examples are provided. ;The ;concepts of fuzzy automata $alpha$-open sphere, fuzzy automata $mathscr{N}$-locally compact spaces, fuzzy automata $mathscr{N}$-Hausdorff spaces are also discussed. Some properties related with to fuzzy automata normed linear structure spaces and fuzzy automata $ma...

An inductive query specifies a set of constraints that patterns should satisfy. We study a novel type of inductive query that consists of arbitrary boolean expressions over monotonic and anti-monotonic primitives. One such query asks for all patterns that have a frequency of at least 50 on the positive examples and of at most 3 on the negative examples. We investigate the properties of the solu...

We show that codimension 1 distributions with at most isolated singularities on threefold hypersurfaces Xd ⊂ P4 of degree d provide interesting examples stable rank 2 reflexive sheaves. When ≤ 5, these sheaves can be regarded as smooth points within an irreducible component the moduli space Our second goal goes in reverse direction: we start from a well-known family locally free and local compl...

The aim of this paper is to study a novel property of Boolean mappings called local intert-ibility. We focus on local invertibility of Boolean mappings which model ltering generators and study the case when ltering function is linear in the last variable.

Article history: Received 29 June 2007 Revised 16 February 2008 Available online 7 June 2008 We introduce locally stratified Boolean grammars, a natural subclass of Boolean grammars with many desirable properties. Informally, if a grammar is locally stratified then the set of all pairs of the form (nonterminal, string) of the grammar can be mapped to a (possibly infinite) set of strata so as th...

 The main purpose of this paper is to study the existence of afixed point in locally convex topology generated by fuzzy n-normed spaces.We prove our main results, a fixed point theorem for a self mapping and acommon xed point theorem for a pair of weakly compatible mappings inlocally convex topology generated by fuzzy n-normed spaces. Also we givesome remarks in locally convex topology generate...

We generalize the theory of sheaves to chamber systems. We prove that, given a chamber system C and a family R of proper residues of C containing all residues of rank c1, every sheaf defined over R admits a completion which extends C. We also prove that, under suitable hypotheses, a sheaf defined over a truncation of C can be extended to a sheaf for C. In the last section of this paper, we appl...