Enclosure methods are a class of computer-aided proofs used in analysis. They are used increasingly to solve open problems in mathematics. The proposed project will use enclosure methods to address two open statistical decision problems: 1. rigorous parameter estimation in a chaotic statistical experiment, and 2. rigorous point estimation and exact posterior sampling in phylogenetics. To addres...

This study introduced a method for enhancing the shielding effectiveness of an enclosure with apertures using absorber. The absorber was installed on inner surface aperture and attenuated incident electromagnetic waves as they passed through it. Furthermore, reduced standing generated inside owing to cavity effect, improving effectiveness. A 3D numerical analysis confirmed that proposed structu...

This study presents an optimization problem for shape design of a 2-D radiant enclosure with transparent medium and gray-diffuse surfaces. The aim of the design problem is to find the optimum geometry of a radiant enclosure from the knowledge of temperature and heat flux over some parts of boundary surface, namely the design surface. The solution of radiative heat transfer is based on the net r...

Exclusion and not using of rangeland in the long term affects the composition and homogeneity of vegetation and consequently leads to the improvement of plants status. In this study, the characteristics and structural changes of the rangeland of Gonbad, Hamadan province, Iran, in 2014 (after 20 years of enclosure) were evaluated using Braun-Blanquet plot, Phytosociology and multivariate analysi...

This survey of ixodid ticks was the first to compare the species composition and population dynamics of free-living ticks in intensive, sable antelope breeding enclosures, now commonplace in commercial wildlife ranching in South Africa, with those of multi-herbivore enclosures. The species composition, abundance and seasonal abundance of questing ixodid ticks on the vegetation in intensive bree...

Given a set S of n > 2 points in the plane (in general position), we show how to compute in O(n) time, a triangle T with maximum (or minimum) area enclosing S among all enclosing triangles with fixed perimeter P and one fixed angle ω. We show that a similar approach can be used to compute a triangle T with maximum (or minimum) perimeter enclosing S among all enclosing triangles with fixed area ...

The inverse problem under consideration is to reconstruct the shape information of obstacles or inclusions embedded in the (inhomogeneous) background medium from boundary measurements of propagating waves. This article is a survey of enclosure-type methods implementing exponential complex geometrical optics waves as boundary illumination. The equations for acoustic waves, electromagnetic waves ...