Bounding hull, such as convex hull, concave hull, alpha shapes etc. has vast applications in different areas especially in computational geometry. Alpha shape and concave hull are generalizations of convex hull. Unlike the convex hull, they construct non-convex enclosure on a set of points. In this paper, we introduce another generalization of convex hull, named alpha-concave hull, and compare ...

in order to study the effects of four concentrations (check, 5, 10 and 15%) of hull extracts on growth of 10 iranian rice cultivars, two experiments were conducted in completely randomized block design with factorial arrangement and three replications at two sites, laboratory and greenhouse. laboratory study showed that same rice hull extracts had stimulat effects and the others had inhibitory ...

Let Ω be a connected compact Hausdorff space and X a Banach space for which the strong Banach-Stone property is valid. We give a complete characterization of the generalized bi-circular projection on the Banach spaces C(Ω) and C(Ω, X). We show that in each case generalized bi-circular projections are bi-contractive. We also give some results concerning projections in the convex hull of two or m...

A Gaussian polytope is the convex hull of normally distributed random points in a Euclidean space. We give an improved error bound for the expected number of facets of a Gaussian polytope when the dimension of the space is fixed and the number of points tends to infinity. The proof applies the theory of the asymptotic distribution of the top order statistic of a collection of independently dist...

Abstract We study the minimization of a rank-one quadratic with indicators and show that underlying set function obtained by projecting out continuous variables is supermodular. Although supermodular is, in general, difficult, specific for can be minimized linear time. convex hull epigraph from inequalities lifting them into nonlinear original space variables. Explicit forms convex-hull descrip...

We introduce a novel representation of classifier conditions based on convex hulls. A classifier condition is represented by a sets of points in the problem space. These points identify a convex hull that delineates a convex region of the problem space. The condition matches all the problem instances inside such region. We apply XCSF with convex conditions to function approximation problems and...

CIRCULATIONAHA/2008/824888 MANUSCRIPT ID: CIRCULATIONAHA/2008/824888 Title: Lack Of Diastolic Reserve In Patients With Heart Failure And Normal Ejection Fraction. Running Title: Diastolic Reserve In HFNEF Authors: Dr. Sudipta Chattopadhyay, MD, MRCP, Department of Cardiology, University of Hull, Kingston-upon-Hull, UK. Dr. Mohammed F Alamgir MRCP. Department of Cardiology, University of Hull, K...

Berry's category of dI-domains with stable functions is a relatively intricate , yet elegant framework for semantics of programming languages. Despite over fteen years of work in the area, the exact reasons for dis-tributivity (Axiom d) and nitariness (Axiom I) have not been fully ex-plicated. This paper shows that Axiom d and Axiom I are important when one works within the realm of Scott-domai...

Motivated by the desire to cope with data imprecision [31], we study methods for taking advantage of preliminary information about point sets in order to speed up the computation of certain structures associated with them. In particular, we study the following problem: given a set L of n lines in the plane, we wish to preprocess L such that later, upon receiving a set P of n points, each of whi...

Domain theory began in an attempt to provide mathematical models for high-level programming languages, an area where it has proved to be particularly useful. It is perhaps the most widely-used method for devising semantic models for such languages. This paper is a survey of some generalizations of domain theory that have arisen in efforts to solve related problems. In each case, a description i...