Preface In this thesis we give a new approach to the classical problems of finite and infinite packings and lattice packings of convex bodies. This approach is based on the introduction of parameterized densities δ ρ (K, C), ρ ∈ R >0. The parameterized density of a finite packing set C of a convex body K with respect to the parameter ρ is defined by δ ρ (K, C) = #(C)V (K) V (conv(C) + ρK) , whe...

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.

The statistics of wide-separation (6 < θ < 15) gravitational lenses constrain the amount of mass in the cores of dark matter halos on group and cluster mass scales. For a family of halo models with a central cusp ρ ∝ r (1.0 ≤ α ≤ 1.9), the lack of wide-separation lenses in the large Cosmic Lens All-Sky Survey yields an upper limit on the fraction of the halo mass that is contained within ∼4% of...

this paper deals with three-dimensional evaluation of the slopes on the basis of limit analysis. an upper-bound technique of limit analysis is used in this paper to determine either the bearing capacity of a shallow foundation near a slope or the safety factor of the slope. the theorems of limit analysis (upper and lower bound) provide a powerful tool for solving problems in which limit loads n...

Motivated by the study of Macdonald polynomials, J. Haglund and A. Wilson introduced a nonsymmetric polynomial analogue chromatic quasisymmetric function called chromatic polynomial Dyck graph. We give positive expansion for this in basis fundamental slide polynomials using recent work Assaf-Bergeron on flagged <mml:math xmlns:mml="ht...

For an integer ρ such that 1≤ρ≤v∕3, define β(ρ,v) to be the maximum number of blocks in any partial Steiner triple system on v points which parallel class has size ρ. We obtain lower bounds by giving explicit constructions, and upper result from counting arguments. show β(ρ,v)∈Θ(v) if is a constant, β(ρ,v)∈Θ(v2) ρ=v∕c, where c constant. When our differ constant depends Finally, we apply results...

background alanine aminotransferase (alt) level is the most common diagnostic test used for detection of liver damage; however in the past few years some studies have questioned the normal aminotransferase range in adults and have suggested its revision. objectives in this study, we assessed the upper limit of alt and aspartate transaminase (ast) in a healthy population of iranian children. pat...