On the Approximation of Convex Bodies by Ellipses with Respect to the Symmetric Difference Metric

Approximating Convex Shapes With Respect to Symmetric Difference Under Homotheties

The symmetric difference is a robust operator for measuring the error of approximating one shape by another. Given two convex shapes P and C, we study the problem of minimizing the volume of their symmetric difference under all possible scalings and translations of C. We prove that the problem can be solved by convex programming. We also present a combinatorial algorithm for convex polygons in ...

Characterization of Ellipses as Uniformly Dense Sets with Respect to a Family of Convex Bodies

Let K ⊂ R be a convex body containing the origin. A measurable set G ⊂ R with positive Lebesgue measure is said to be uniformly K-dense if, for any fixed r > 0, the measure of G ∩ (x + rK) is constant when x varies on the boundary of G (here, x + rK denotes a translation of a dilation of K). We first prove that G must always be strictly convex and at least C-regular; also, if K is centrally sym...

the role of task-based techniques on the acquisition of english language structures by the intermediate efl students

this study examines the effetivenss of task-based activities in helping students learn english language structures for a better communication. initially, a michigan test was administered to the two groups of 52 students majoring in english at the allameh ghotb -e- ravandi university to ensure their homogeneity. the students scores on the grammar part of this test were also regarded as their pre...

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

the present study is a survey os postmodern historical novel with respect to the voice of women. it argues how the recorded history is regulated by the rules of power and how women have been excluded from this discourse.ther study analysez angela carters nights at the circus as an example of postmodern historical novel to illustrate how this novel has questioned the historical narrative and how it has inserted women into history by breaking the rules of patriarchy.

the present thesis is a study of postmodern historical novel with respect to the voice of women. according to postmodern historiography,the established institution of history is one of the other manifestations of patriarchys power which has silenced women. the study analyzes angela carters nights at the circus as a postmodern historical novel which makes its female characters transgress the pat...