Two-dimensional slices of non-pseudoconvex open sets

On Pre-θ-Open Sets and Two Classes of Functions

On the geometry of two-dimensional slices of irregular level sets in turbulent flows∗

Isoscalar surfaces in turbulent flows are found to be more complex than (selfsimilar) fractals, in both the far field of liquid-phase turbulent jets and in a realization of Rayleigh-Taylor-instability flow. In particular, they exhibit a scaledependent coverage dimension, D2(λ), for 2-D slices of scalar level sets, that increases with scale, from unity, at small scales, to 2, at large scales. Fo...

On the geometry of two-dimensional slices of irregular level sets in turbulent ows

Isoscalar surfaces in turbulent ows are found to be more complex than (selfsimilar) fractals, in both the far eld of liquid-phase turbulent jets and in a realization of Rayleigh-Taylor-instability ow. In particular, they exhibit a scaledependent coverage dimension, D2( ), for 2-D slices of scalar level sets, that increases with scale, from unity, at small scales, to 2, at large scales. For the ...

on pre-θ-open sets and two classes of functions

Applications of fuzzy $e$-open sets

The aim of this paper is to introduce and study the notions of fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuously convergent functions. Properties and basic relationships among fuzzy upper $e$-limit set, fuzzy lower $e$- limit set and fuzzy $e$-continuity are investigated via fuzzy $e$-open sets.