In this paper we enumerate fuzzy subgroups, up to a natural equivalence, of some finite abelian p-groups of rank two where p is any prime number. After obtaining the number of maximal chains of subgroups, we count fuzzy subgroups using inductive arguments. The number of such fuzzy subgroups forms a polynomial in p with pleasing combinatorial coefficients. By exploiting the order, we label the s...

We consider the ultraviolet divergence structure of general noncommutative super-symmetric U (N c) gauge theories, and seek theories which are all-orders finite. September 2001

In this paper we provide explicit formulas for the number of elements/subgroups/cyclic subgroups of a given order and for the total number of subgroups/cyclic subgroups in a finite Hamiltonian group. The coverings with three proper subgroups and the principal series of such a group are also counted. Finally, we give a complete description of the lattice of characteristic subgroups of a finite H...

Alternative splicing events that are conserved in orthologous genes in different species are commonly viewed as reliable evidence of authentic, functionally significant alternative splicing events. Several recent bioinformatic analyses have shown that conserved alternative exons possess several features that distinguish them from alternative exons that are species-specific. One of the most stri...

In this paper, the notions of   , q  -Q-fuzzy subgroup and normal subgroup are introduced and some of their properties are investigated.

The theory of fuzzy sets was inspired by Zadeh [10]. Subsequently, Rosenfeld introduced the concept of a fuzzy subgroup of a group [9]. Fuzzy cosets and fuzzy normal subgroups of a group G have been studied in [3, 5, 8]. In [4], the ring of cosets of a fuzzy ideal was constructed. Let A and B be fuzzy subgroups of G such that B ⊆ A. The purpose of this paper is to introduce the notion of fuzzy ...

To assess the role of second-order channels in symmetry perception we measured the effects of check size, spatial frequency content, eccentricity and grey scale range on the detection of symmetrical and anti-symmetrical patterns. Thresholds for symmetrical stimuli were only moderately affected by these manipulations. Anti-symmetrical stimuli composed of large black and white checks elicited low...

Background: Recently, osteoarthritis has been proposed to be driven by complement-mediated inflammatory cascades. That is, in addition the conventional degenerative model, our knowledge of pathogenesis expanded with an inflammation-dependent theory. Objectives: To identify relationship between and periodontitis. Methods: 144,788 periodontitis patients propensity score-matched controls without h...