The notion of embedding a class of dichotomies in a class of linear half spaces is central to the support vector machines paradigm. We examine the question of determining the minimal Euclidean dimension and the maximal margin that can be obtained when the embedded class has a finite VC dimension. We show that an overwhelming majority of the family of finite concept classes of any constant VC di...

We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski–Demianski metrics one obtains a family of local toric Kähler–Einstein metrics. These can be used to construct local Sasaki–Einstein metrics in five dimensions, which are generalisations of the Y p,q metrics. In fact, we find that the local metrics are diffeomorphic to those recently found by Cvetic, Lu, Page...

We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski–Demianski metrics one obtains a family of local toric Kähler–Einstein metrics. These can be used to construct local Sasaki–Einstein metrics in five dimensions which are generalisations of the Y p,q manifolds. In fact, we find that these metrics are diffeomorphic to those recently found by Cvetic, Lu, Page an...

background: as a social destructive phenomenon, substance abuse causes destruction of family structure and, most importantly, behavioural problems and psychological stress for children. therefore this study has been conducted to compare parental communication patterns and self-esteem between adolescents with substance-abused parents with control group.  materials and methods: in this descriptiv...

This paper deals with three resolving parameters: the metric dimension, the upper dimension and the resolving number. We first answer a question raised by Chartrand and Zhang asking for a characterization of the graphswith equalmetric dimension and resolving number. We also solve in the affirmative a conjecture posed by Chartrand, Poisson and Zhang about the realization of the metric dimension ...

The family of quaternionic quasi-unitary (or quaternionic unitary Cayley– Klein algebras) is described in a unified setting. This family includes the simple algebras sp(N + 1) and sp(p, q) in the Cartan series CN+1, as well as many non-semisimple real Lie algebras which can be obtained from these simple algebras by particular contractions. The algebras in this family are realized here in relati...

fish is one of the healthy foods and a rich source of animal protein average household consumption of fish in our soceity is such a low in that one can rarly find it in a family food basket. therefore, this study aimed at analyzing the factors affecting consumption of fish among tabrizian households. to do this, a total of 224 questionnaires was conducted using clustered two- stage sampling met...

BACKGROUND The primary objective of this prospective observational study was to evaluate changes in self-reported disability in patients with anxiety or mood disorders 3 months after initiating antidepressant treatment. METHODS This study included 8396 patients consulting 2433 general practitioners in France for a major mood episode, generalized anxiety disorder, social anxiety disorder, pani...