We prove that if \(X\) is an \(\ell_{1}\)-predual isomorphic to the space \(c_{0}\) of sequences converging zero, then for any isomorphism \(T:X\rightarrow c_{0}\) we have \(\Vert T\Vert\, \Vert T^{-1}\Vert\ge1+2r^{*}(X)\), where \(r^{*}(X)\) smallest radius closed ball dual \(X^{*}\) containing all weak\(^{*}\) cluster points set extreme unit \(X^*\).

The aim of present work is to introduce and study lacunary statistical limit and lacunary statistical cluster points for generalized difference sequences of fuzzy numbers. Some inclusion relations among the sets of ordinary limit points, statistical limit points, statistical cluster points, lacunary statistical limit points, and lacunary statistical cluster points for these type of sequences ar...

and Applied Analysis 3 The Nash equilibrium E is located at the intersection of the two reaction curves which represent the locus of points of vanishingmarginal profits in (5). In the following, we assume that (10) is satisfied, so the Nash equilibrium E exists. The study of the local stability of equilibrium points is based on the eigenvalues of the Jacobian matrix of the (6): J = [ 1 + 11 1 (...

We consider the problem of embedding a finite set of points {x1, . . . , xn} ∈ R that satisfy l2 triangle inequalities into l1, when the points are approximately low-dimensional. Goemans (unpublished, appears in [20]) showed that such points residing in exactly d dimensions can be embedded into l1 with distortion at most √ d. We prove the following robust analogue of this statement: if there ex...

In this paper we present a skeletonization algorithm based on contour peeling. This algorithm can be applied on 2-D as well as on 3-D images. The 2-D algorithm is a new formulation of Pavlidis' algorithm, avoiding the explicit contour tracking, and is based on local computations only. The new thinning operator can be applied on all the image points in parallel. R esum e Dans ce papier nous pr e...

KLONE i s a g e n e r a l p u r p o s e language f o r r e p r e s e n t i n g conceptual information. Several of its pr~linent features semantically clean inheritance of structured descriptions, taxonomic classification of gpneric knowledge, intensional structures for functional roles (including the possibility of multiple fillers), and procedural attachment (with automatic invocation) make it...

In this work, we combine the strengths of mixed-integer linear optimization (MILP) and logistic regression for predicting the in vivo toxicity of chemicals using only their measured in vitro assay data. The proposed approach utilizes a biclustering method based on iterative optimal reordering (DiMaggio, P. A., McAllister, S. R., Floudas, C. A., Feng, X. J., Rabinowitz, J. D., and Rabitz, H. A. ...

This work deals with the evolution of the relation between half-light (effective) radius, r e , and mean surface brightness, < µ > e , (known as Kormendy relation) at intermediate redshifts. A large sample of spheroids (N ∼ 230) in the three clusters of galaxies A 209 at z = 0.21, AC 118 at z = 0.31, and EIS 0048 at z = 0.64 is analyzed by using ground-based data. Effective parameters have been...