in statistical inference, the point estimation problem is very crucial and has a wide range of applications. when, we deal with some concepts such as random variables, the parameters of interest and estimates may be reported/observed as imprecise. therefore, the theory of fuzzy sets plays an important role in formulating such situations. in this paper, we rst recall the crisp uniformly minimum ...

We study the Riemannian distance function from a fixed point (a point-wise target) of Euclidean space in presence compact obstacle bounded by smooth hypersurface. First, we show that such is locally semiconcave with fractional modulus order one half and that, near obstacle, this regularity optimal. Then, setting, prove singularities propagate, sense each singular belongs to nontrivial continuum...

Abstract Given a hereditary property of graphs $\mathcal{H}$ and $p\in [0,1]$ , the edit distance function $\textrm{ed}_{\mathcal{H}}(p)$ is asymptotically maximum proportion edge additions plus deletions applied to graph density p sufficient ensure that resulting satisfies . The directly related other well-studied quantities such as speed for -chromatic number random graph. Let be forbidding a...

In an effort to develop a dielectric screening function for molecular dynamics simulations of biomolecules in implicit solvent, effective dielectric constants (D(eff)) for a large number of atom pairs in a typical globular protein are calculated by continuum electrostatics. Plots of D(eff) versus the intercharge distance are in general sigmoidal with the characteristics of the curve depending o...