The article presents a new scalable iterative method for linear programming called the “apex method”. key feature of this is constructing path close to optimal on surface feasible region from certain starting point exact solution problem. refers minimum length according Euclidean metric. apex based predictor—corrector framework and proceeds in two stages: quest (predictor) target (corrector). s...

AIMS The purpose of this study is to determine the degree of satisfaction of users of the Cancer Information Point section of the Library for Patients (CIP-LP), active since 1998 at the National Cancer Institute of Aviano, Italy. The CIP-LP is based on a skilled intermediary, adequate informative material and a specific location, within the Scientific Library of the Institute. PATIENTS AND ME...

One of the running themes in this course is the notion of approximate solutions. Of course, this notion is tossed around a lot in applied work: whenever the exact solution seems hard to achieve, you do your best and call the resulting solution an approximation. In theoretical work, approximation has a more precise meaning whereby you prove that the computed solution is close to the exact or opt...

We construct integrality gap instances for SDP relaxation of the MAXIMUM CUT and the SPARSEST CUT problems. If the triangle inequality constraints are added to the SDP, then the SDP vectors naturally define an n-point negative type metric where n is the number of vertices in the problem instance. Our gap-instances satisfy a stronger constraint that every sub-metric on t = O((log log log n) 1 6 ...

Background: Lichen planus (LP) is an idiopathic papulosquamous disorder, which can show cutaneous or mucosal signs. It is caused by a cell mediated immune response to an antigen. A wide range of clinical manifestations has been reported. Objective: To determine the sex and age frequency and clinical presentations of this disease in patients referred to Razi hospital in Tehran. Patients and Meth...

From a well represented sample of world languages Steele (1978) shows that about 70% of languages exhibit significant word order variation. Only recently has this wlde-spread phenomenon been drawing appropriate attention. Perhaps ID/LP (Immediate Dominance and Linear Precedence) framework is the most debated theories in this area. We point out some difficulties in processing standard ID/LP gram...

The metrization of the space of neural responses is an ongoing research program seeking to find natural ways to describe, in geometrical terms, the sets of possible activities in the brain. One component of this program are the spike metrics, notions of distance between two spike trains recorded from a neuron. Alignment spike metrics work by identifying “equivalent” spikes in one train and the ...

In a previous paper [6], the authors introduced the hyperbolic topology on a metric space, which is weaker than the metric topology and naturally derived from the Lawson topology on the space of formal balls. In this paper, we characterize spaces Lp(Ω,Σ, μ) on which the hyperbolic topology induced by the norm ∥·∥p coincides with the norm topology. We show the following. (1) The hyperbolic topol...