One of the main aims of contemporary theory o f a d a p t i v e , l e a r n i n g and s e l f l e a r n i n g systems i s the u n i f i c a t i o n o f the p r o b lems of a d a p t a t i o n , l e a r n i n g and s e l f l e a r n i n g from one p o i n t o f v i e w , i . e . t h e de t e r m i n a t i o n o f the a p p r o p r i a t e mathemat i c a l t echn ique which would be ab le to s o ...

To date, clustering techniques have always been oriented to solve classification and pattern recognition problems. However, some authors have applied them unchanged to construct initial models for function approximators. Nevertheless, classification and function approximation problems present quite different objectives. Therefore it is necessary to design new clustering algorithms specialized i...

in this paper, a nonlinear volterra-fredholm integral equation of the first kind is solved by using the homotopy analysis method (ham). in this case, the first kind integral equation can be reduced to the second kind integral equation which can be solved by ham. the approximate solution of this equation is calculated in the form of a series which its components are computed easily. the accuracy...

Stochastic Approach to Vehicle Routing Problem: Development and Theories Abstract In this article, a chance constrained (CCP) formulation of the Vehicle Routing Problem (VRP) is proposed. The reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. Knowing that reliable computer software...

In this paper, we solve a new Jensen type m-dimensional multiplicative inverse functional equation and then its various stability problems in the setting of non-negative real numbers non-Archimedean spaces via fixed point method. The dealt study is linked with famous relationship between arithmetic harmonic mean m values. role very significant many other fields such as traffic flow theory, indu...

We study the evolution of non-equilibrium quantum fields from a highly excited initial state in two approaches: standard Keldysh-Schwinger diagram technique and semiclassical expansion. demonstrate explicitly that these approaches coincide if coupling constant $g$ Plank $\hbar$ are small simultaneously. Also, we discuss loop diagrams perturbative approach, which summed up by leading order term ...