Let (X, m, H) be a hereditary m-space. A subset A of X is said to be θ-H-compact relative to X if for every cover U of A by m(θ)- open sets of X, there exists a finite subset U0 of U such that A \\ ∪ U0 ∈ H. We obtain several properties of ...
In this note we shall consider the following problem: which conditions should satisfy a function : (0, 1) → in order to guarantee the existence of a (regular) measure μ in with compact support and for some positive constants 2, and 2 independent of γ∈Γ and ∈ (0,1)? The theory...
The mission is intended to demonstrate the potential of a compact, low-cost, imaging spectrometer when combined with a small, agile satellite platform. CHRIS will provide data in 18 - 62 user-selectable spectral channels in the range 400 nm to 1050 nm (1.25 nm - 11 nm intervals) at a ...
General successive convex relaxation methods (SRCMs) can be used to compute the convex hull of any compact set, in an Euclidean space, described by a system of quadratic inequalities and a compact convex set. Linear complementarity problems (LCPs) make an interesting and rich class of structured...
However, we find that the relationship among the Skorokhod metric, the enhanced-type Skorokhod metric and the dp metric on noncompact fuzzy sets are quite different from the case of compact fuzzy sets. Among other things, we show that the Skorokhod metric is stronger than the sendograph metric...
Regular Covers for Open Relatively Compact Subanalytic Sets Let $U$ be an open relatively compact subanalytic subset of a real analytic manifold. We show that there exists a finite linear covering (in the sense of G... A Parusinski 被引量: 12发表: 2014年 ...
of gas phase species) leads to these aerosols becoming more compact, causingDfto increase over time. This aging is expected to lead to a decrease in their top of the atmosphere radiative effects13. Previous work has shown thatkfdetermines the compactness of aggregate branches, although little is...
selectively pseudocompact if and only if for every sequence {Un:n∈N} of non-empty open subsets of X, we can choose a point xn∈Un for every n∈N in such a way that the sequence {xn:n∈N} has an accumulation point in X. The properties (i)–(iii) are well known [6], while...
Compactness, Contractibility and Fixed Point Properties of the Pareto Sets in Multi-Objective ProgrammingMulti-Objective ProgrammingPareto-OptimalPareto-FrontCompactContractibleFixed PointRetractionThis paper presents the Pareto solutions in continuous multi-objective mathematical programming. We discuss the role ...
A function space from a compact metrizable space to a dendrite with the hypo-graph topology Solutions of minus partial ordering equations over von Neumann regular rings New interval oscillation criteria for second-order functional differential equations with nonlinear damping Notes on monotonically ...