We consider the problem of estimating a density function from a sequence of independent and identically distributed observations x i taking value in R d. The estimation procedure constructs a convex mixture of`basis' densities and estimates the parameters using the maximum likelihood method. Viewing the error as a combination of two terms, the approximation error measuring the adequacy of the m...

In this paper, we extend the generalized fair reachability notion to cyclic protocols with nondeterminism and internal transitions. By properly incorporating internal transitions into the formulation of fair progress vectors, we prove that most of the results established for cyclic protocols without nondeterminism and internal transitions still hold even if nondeterminism and internal transitio...

Let G be a reductive algebraic group, P a parabolic subgroup of G with unipotent radical Pu, and A a closed connected unipotent subgroup of Pu which is normalized by P. We show that P acts on A with nitely many orbits provided A is abelian. This generalizes a well-known niteness result, namely the case when A is central in Pu. We also obtain an analogous result for the adjoint action of P on in...

The category of L-domains was discovered by A. Jung while solving the problem of nding maximal cartesian closed categories of algebraic CPO's and continuous functions. In this note we analyse properties of the lossless powerdo-main construction, that is closed on the algebraic L-domains. The powerdomain is shown to be isomorphic to a collection of subsets of the domain on which the construction...

Turing machines as a model of intelligence can be motivated by some assumptions, both mathematical and philosophical. Some of these are about the possibility, the necessity, and the limits of representing problem solving by mechanical means. The assumptions about representation that we consider in this paper are related to information representability and availability, processing as solving, no...

Background and Aims: This study aims to identify the level of motivation among blood donors and their intention to donate again and suggest remedial measures to rectify de-motivating influences. Materials and Methods: A self-administered questionnaire was distributed among donors to collect data on variables related to the objective. Results: Most donors were men aged 18-24 years, graduates, ...