In this paper, using Clarke’s generalized directional derivative and dI-invexity we introduce new concepts of nonsmooth K-α-dI-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints. We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I cone-univexi...

in this paper, using clarke’s generalized directional derivative and di-invexity we introduce new concepts of nonsmooth k-α-di-invex and generalized type i univex functions over cones for a nonsmooth vector optimization problem with cone constraints. we obtain some sufficient optimality conditions and mond-weir type duality results under the foresaid generalized invexity and type i cone-univexi...

in this paper the solution of a second order linear dierential equations with intu-itionistic fuzzy boundary value is described. it is discussed for two dierent cases: coecientis positive crisp number and coecient is negative crisp number. here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (gtrifns). further a numericalexample is illustrated.

it is known that a stochastic dierential equation (sde) induces two probabilisticobjects, namely a diusion process and a stochastic ow. while the diusion process isdetermined by the in nitesimal mean and variance given by the coecients of the sde,this is not the case for the stochastic ow induced by the sde. in order to characterize thestochastic ow uniquely the in nitesimal covariance give...

in this paper, we present the numerical solution of ordinary dierential equations (or sdes), from each order especially second-order with time-varying and gaussian random coecients. we indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multi- plicative noises). making stochastic dierent...

microdeletion syndromes are contiguous gene deletion syndromes of less than 5 megabases.  most often, many of these syndromes are not detectable by  routine chromosomal analysis and require more specific testing techniques such as fish or more accurate general coverage like array comparative genomic hybridization.  as many of these syndromes are phenotypically recognizable and allow for easy cl...

We perform a comprehensive theoretical and experimental analysis of the use of all-diierent constraints. We prove that generalized arc-consistency on such constraints lies between neighborhood inverse consistency and, under a simple restriction, path inverse consistency on the binary representation of the problem. By generalizing the arguments of Kondrak and van Beek, we prove that a search alg...

in this paper, a new and ecient approach is applied for numerical approximationof the linear dierential equations with variable coecients based on operational matriceswith respect to hermite polynomials. explicit formulae which express the hermite expansioncoecients for the moments of derivatives of any dierentiable function in terms of theoriginal expansion coecients of the function itse...

a new facile route for synthesis of 3- (aryl) -8, 9- di (alkyl) thieno [3,2-e] [1,2,4] triazolo pyrimidines derivative from the same starting material, 2- amino - 4,5 -di (alkyl) thiophene-3- carboxamide, has been developed through heterocyclization of the corresponding arylidene-hydrazino -5,6 -di (alkyl) thieno [2,3-d] pyrimidine under refluxing condition with acetic anhydride followed by air...

The paper discusses the expanding scope of the aid-for-trade agenda, the amount of ODA donors are providing in support of trade, the prospects for additional resources, the problems related to identifying market failures, the principles for aid effectiveness, and the main areas for improving the effectiveness of aid-for-trade. It also elaborates a proposal to create aid-for-trade partnerships b...