We examine the close analogy which exists between Helly graphs and hyperconvex metric spaces, and propose the hyperconvex semi-metric space as an unifying concept. Unlike the metric spaces, these semi-metric spaces have a rich theory in the discrete case. Apart from some new results on Helly graphs, the main results concern: fixed point property of contractible semi-metric spaces (for nonexpans...

In this paper, we focuse on different important properties in fuzzy (set-valued) measure theory, such as, non-atomicity, diffusion, regularity, order continuity, exhaustivity, countable subadditivity, increasing/decreasing convergence, semi-convexity, Darboux property for different types of set multifunctions defined on a ring of subsets of an abstract, nonvoid space and taking values in the fa...

The purpose of this article is to give a rather thorough understanding of the compact support property for measure-valued processes corresponding to semi-linear equations of the form ut = Lu+ βu− αu p in R × (0,∞), p ∈ (1, 2]; u(x, 0) = f(x) in R; u(x, t) ≥ 0 in R × [0,∞). In particular, we shall investigate how the interplay between the underlying motion (the diffusion process corresponding to...

In this paper we introduce semi-pseudo-ovoids, as generalizations of the semi-ovals and semi-ovoids. Examples of these objects are particular classes of SPG-reguli and some classes of m-systems of polar spaces. As an application it is proved that the axioms of pseudo-ovoid O(n, 2n, q) in PG(4n − 1, q) can be considerably weakened and further a useful and elegant characterization of SPG-reguli w...

The synchronization of two or more semi-traces describes the possible evaluation of a concurrent system, which consists of two or more concurrent subsystems in a modular way, where communication between the subsystems restricts the order of the actions. In this paper we give criteria, which tell us for given semi-traces in given semicommutation systems, whether they are synchronizable and wheth...

this study was conducted in english for academic purposes (eap) context to explore iranian teachers' perceptions of their pedagogical content knowledge (pck) and their sense of professional identity (pi) as well as to scrutinize how their cognitions were practiced in eap classes. to this end, two elt teachers and two content instructors (i.e. subject experts who teach eap courses in addition to...

The inference rule semi-resolution is introduced and shown to be complete for ground CNF formulas. It can be employed in a connection-graph setting, and preservation of the spanning property is shown to hold when activated links are deleted. Potential advantages from the employment of semi-resolution as the inference engine in prime implicate computations are brieey discussed .

In order to simulate the effects of hydrostatic pressure on protein folding/unfolding it is necessary to accurately describe the behavior of the dielectric constant and the density of the solvent (water), in the range of pressures (between 0.1 MPa and 2.0 GPa) and temperatures (below 75 ̊ C) required for pressure-induced unfolding. A simple equation of the form X = X (T, Pi) + a0 ln (ai+ P)/(ai ...

Casein is almost insoluble at around pH 4.6, which is its isoelectric point (pI). Grafting copolymer, casein-g-dextran, was prepared through the Amadori rearrangement of the Maillard reaction. The copolymer has a reversible pH sensitive property: micellization at the pI of casein forming a casein core and dextran shell structure and dissociation when pH differs from the pI. The micelles produce...

In this paper, we study a well known asymptotic limit in which the second Painlevé equation (PII) becomes the first Painlevé equation (PI). The limit preserves the Painlevé property (i.e. that all movable singularities of all solutions are poles). Indeed it has been commonly accepted that the movable simple poles of opposite residue of the generic solution of PII must coalesce in the limit to b...