A mong the theories explaining the relationship between creativity criteria in cities and economic growth, “Human Capital Theory” by Glaeser and “Creative Class theory” by Florida can be mentioned. Accordingly, present paper aimed at analysis of the creativity effect on regional economic growth and is presented in two theoretical and experimental parts. Considering the results of the curre...

In this paper we propose a modified morphological corner detection method which finds convex and concave significant points using simple integer computation. We use the morphological peak extractor to detect convex corners and use a modified valley extractor to detect concave corners. Moreover, information of the distances between pixels on the boundary segment determined by two contiguous sign...

We derive necessary and sufficient conditions in order for binary voting choices over a finite number of pairs of alternatives to be consistent with voter preferences that admit concave utility representations. These conditions imply simple testable restrictions on the location of voters’ ideal points, and can be used to predict individual voting behavior. On the other hand, if the location of ...

Analyzing the features of the chromosomes can be very useful for diagnosis of many genetic disorders or prediction of possible abnormalities that may occur in the future generations. For this purpose, karyotype is often used, for which to be made, it is necessary to identify each one of the 24 chromosomes from the microscopic images. Definition and extraction of the morphological and band patte...

This paper proposes a method based on linear programming techniques to treat quasi-concave and non-concave fuzzy multi-objective programming (FMOP) problems. The proposed method initially presents a piecewise linear expression to interpreting a quasi-concave membership function. Then we 7nd the convex-type break points and transform all quasiconcave membership functions into concave functions. ...

This paper presents a novel method for the segmentation of partially overlapping nanoparticles with a convex shape in silhouette images. The proposed method involves two main steps: contour evidence extraction and contour estimation. Contour evidence extraction starts with contour segmentation where contour segments are recovered from a binarized image by detecting concave points. After this, c...

Given n points in the plane, we study three optimization problems of computing an empty pseudo-triangle: we consider minimizing the perimeter, maximizing the area, and minimizing the longest maximal concave chain. We consider two versions of the problem: First, we assume that the three convex vertices of the pseudotriangle are given. Let n denote the number of points that lie inside the convex ...

We study the expected volume of random polytopes generated by taking convex hull independent identically distributed points from a given distribution. show that for log-concave distributions supported on bodies, we need at least exponentially many (in dimension) samples to be significant and super-exponentially suffice concave measures when their parameter concavity is positive.