Let F be a family of subgroups of a group G = (G, ·) such that ⋃F = G. Then P = (F,≤) is a partially ordered set (with an order dual to ⊆) and let a mapping A: G −→ P be a P-(fuzzy) subgroup of a group G defined by (6). The theory of fuzzy-subgroups is known [2] but in this paper we will apply it to the theory of Riemann surfaces. Mbius transformations form a group M and we introduce a connecti...

Let H be the real algebra of quaternions. The notion of regular function of a quaternionic variable recently presented by G. Gentili and D. C. Struppa developed into a quite rich theory. Several properties of regular quaternionic functions are analogous to those of holomorphic functions of one complex variable, although the diversity of the quaternionic setting introduces new phenomena. This pa...

A generalized version of Groeneveld's convergence criterion for the virial expansion and generating functionals weighted $2$-connected graphs is proven. The works inhomogeneous systems yields bounds density expansions correlation functions $\rho_s$ (a.k.a. distribution or factorial moment measures) grand-canonical Gibbs measures with pairwise interactions. proof based on recurrence relations gr...

Reprint requests to: Dr. Te-Chang Wu Department of Radiology, Chi-Mei Foundation Hospital. No. 901, Chung Hwa Road, Yong-Kong, Tainan 710, Taiwan, R.O.C. Three children of unilateral type I Duane’s retract ion syndrome (DRS), aged 8 years, 14 months and 2 years were confirmed by demonstration of absence of ipsilateral abducens nerves on 3D fast imaging employing steady-state acquisition (FIESTA...