the influence of social conditions on literature is an issue that many critics and scholars confirm and prove it; as duality is one of the manifestations of the influence of social conditions on the poet. it means that whenever the ambitions and beliefs of poet opposes the social facts, the duality will manifests in his poetry. the reality that the contemporary poets live in, imposes strong con...

In this paper, we extend the notions of ( , ρ)-invexity and generalized ( , ρ)invexity to the continuous case and we use these concepts to establish sufficient optimality conditions for the considered class of nonconvexmultiobjective variational control problems. Further, multiobjective variational control mixed dual problem is given for the considered multiobjective variational control problem...

this paper is a slightly revised version of an introduction into singularity theory corresponding to a series of lectures given at the ``advanced school and conference on homological and geometrical methods in representation theory'' at the international centre for theoretical physics (ictp), miramare - trieste, italy, 11-29 january 2010. we show how to associate to a triple of positive integer...

magical realism is a new method in fiction. in this method the author uses the technique of magic and fantasy that mixed with reality. najib mahfouz and gholam hussein saedi are the pioneers of this style.one thousand and one nights and mourners of bayal are examples of magical realism method. this paper attempts to examine these stories. magic and fantasy, myth and the duality of the two stori...

let $x$ be a sufficiently nice scheme. we survey some recent progress on dualizing complexes. it turns out that a complex in $kinj x$ is dualizing if and only if tensor product with it induces an equivalence of categories from murfet's new category $kmpr x$ to the category $kinj x$. in these terms, it becomes interesting to wonder how to glue such equivalences.

In this paper we explore the relations between the standard dual problem of a convex generalized fractional programming problem and the “partial” dual problem proposed by Barros et al. (1994). Taking into account the similarities between these dual problems and using basic duality results we propose a new algorithm to directly solve the standard dual of a convex generalized fractional programmi...

We study the problem of testing composite hypotheses versus composite alternatives, using a convex duality approach. In contrast to classical results obtained by Krafft & Witting [11], where sufficient optimality conditions are obtained via Lagrange duality, we obtain necessary and sufficient optimality conditions via Fenchel duality under some compactness assumptions. This approach also differ...

For a multidimensional control problem (P)K involving controls u ∈ L∞, we construct a dual problem (D)K in which the variables ν to be paired with u are taken from the measure space rca (Ω, B) instead of (L∞)∗. For this purpose, we add to (P)K a Baire class restriction for the representatives of the controls u. As main results, we prove a strong duality theorem and saddle-point conditions.