We study mainly the class (GC) of all real Banach spaces X such that the set E f (a) of the minimizers of the function X 3 x 7 ! f(kx ? a 1 k;: : : ; kx ? a N k) is nonempty whenever N is a positive integer, a 2 X N , and f is a continuous monotone coercive function on 0;+1 N. For particular choices of f, the set E f (a) coincides with the set of Chebyshev centers of the set fa i : i = 1;: :: ;...

in this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group g and give four equivalent conditions each ofwhich characterizes this relation. we demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. moreover, we study the behavior of these equivalence classes under theaction of a...

in this paper, we introduce the concept of the   generalized aip-rings as a generalization of the generalized quasi-   baer rings   and generalized p.p.-rings. we show that the class of the generalized aip-rings is closed under direct products and morita invariance. we also characterize the 2-by-2 formal upper triangular matrix rings of this new class of rings. finally, we provide sever...

studies have shown that patients who do not produce donor specific and / or panel reactive anti-hla antibodies have a longer graft survival. the purpose of this study was to evaluate the posttransplant humoral immune response towards hla-class i antigens and the measurement of the serum creatinine levels which are used in monitoring posttransplant function of kidney. serum samples from 132 rena...

In this paper, loss probabilities and steady state probabilities of data packets for an asynchronous transfer mode (ATM) network are investigated under the buffer division and push-out schemes. Data packets are classified in classes k which arrive in Poisson fashion to the service facility and are served with general service rate under buffer division scheme, finite buffer space N is divided in...

In this paper, we introduce the class of ideals with $(d_1,ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with $(d_1,ldots,d_m)$-linear quotients. In particular we show that their first module of syzygies is a componentwise linear module.

We consider the class of polynomial differential equation x&= , 2(,)(,)(,)nnmnmPxyPxyPxy++++2(,)(,)(,)nnmnmyQxyQxyQxy++&=++. For where and are homogeneous polynomials of degree i. Inside this class of polynomial differential equation we consider a subclass of Darboux integrable systems. Moreover, under additional conditions we proved such Darboux integrable systems can have at most 1 limit cycle.