Aggregation processes are fundamental in any discipline where the fusion of information is of vital interest. For aggregating binary fuzzy relations such as equivalence relations or fuzzy orderings, the question arises which aggregation operators preserve specific properties of the underlying relations, e.g. T -transitivity. It will be shown that preservation of T -transitivity is closely relat...

In this paper we consider algebras of fuzzy truth values equipped with an implication operation. Generalizing the definition of type-1 fuzzy implications, we discuss extended fuzzy S-implications and coimplications and also extended residual implications and coimplications, in particular to the extended residual of minimum. We study the algebraic properties of these operations and their relatio...

in this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted dirichlet spaces or bloch type spaces to $q_k$ type spaces.

Beltrami equations L¯t(g)=μ(·,t)Lt(g) on S3 (where Lt, |t|<1, are the Rossi operators i.e., Lt spans globally nonembeddable CR structure H(t) discovered by H. Rossi) derived such that to describe quasiconformal mappings f:S3→N⊂C2 from sphere S3,H(t). Using Greiner–Kohn–Stein solution Lewy equation and Bargmann representations of Heisenberg group, we solve for Sobolev-type solutions gt gt−v∈W...

We consider the fourth order degenerate diiusion equation h t = ?r (f(h)rh) in one space dimension. This equation, derived from a `lubrication approximation', models surface tension dominated motion of thin viscous lms and spreading droplets 14]. The equation with f(h) = jhj also models a thin neck of uid in the Hele-Shaw cell 9, 10, 22]. In such problems h(x; t) is the local thickness of the t...

The purpose of this note is to give a complete and detailed proof of the fundamental Yamada-Watanabe Theorem on infinite dimensional spaces, more precisely in the framework of the variational approach to stochastic partial differential equations. 1. Framework and Definitions Let H be a separable Hilbert space, with inner product 〈·, ·〉H and norm ‖·‖H . Let V,E be separable Banach spaces with no...

t cells have been identified as key players in the pathogenesis of type 1 diabetes. however, the exact role of t-cell subpopulations in this pathway is presently unknown. the purpose of this study was to assess the expression pattern of two lineage-specifying transcription factors gata - 3 and t - bet , which are important in t helper type 1 (th1) and th2 cell development , respectively. gene e...

In this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted Dirichlet spaces or Bloch type spaces to $Q_K$ type spaces.

This paper deals with the expectation of monomials respect to stochastic area integral $A_{1,2}(t,t+h)=\int_{t}^{t+h}\int_{t}^{s}{\rm d} W_{1}(r){\rm W_{2}(s) -\int_{t}^{t+h}\int_{t}^{s}{\rm W_{2}(r){\rm W_{1}(s)$ and increments two Wiener processes, $\Delta{W}_{i}(t,t+h)=W_{i}(t+h)-W_{i}(t),\ i=1,2$. In a monomial, if exponent one or is an odd number, then monomial zero. However, any them even...

Abstract. We analyse the spectral bounds of non-overlapping domain decomposition additive Schwarz preconditioners for hp-version discontinuous Galerkin finite element methods in H-type norms. Using original approximation results for discontinuous finite element spaces, it is found that these preconditioners yield a condition number bound of order 1 + Hp/hq, where H and h are respectively the co...