An inductive inference problem of context-free languages is investigated. There have been many attempts to this problem, and most of them are based on a problem setting in which a representation space for hypotheses is a class of context-free grammars. An inference algorithm given in this paper , on the contrary, employs a kind of extensions of regular expressions called context-free expression...

in this paper we consider the european continuous installment call option. then  its linear complementarity formulation is given. writing the resulted problem in variational form, we prove the existence and uniqueness of its weak solution. finally finite element method is applied to price the european continuous installment call option.

Article history: Received 22 July 2016 Received in revised form 18 September 2016 Accepted 3 October 2016 Available online 24 October 2016

A new iterative approach to steady seepage of ground water with a free surface has been developed using the finite element method. This approach eliminates a number of difficulties that were inherent in the iterative procedures previously used to solve this problem and rapid convergence is now assured in all cases. The method is applicable to heterogeneous porous media with complex geometric bo...

Aim of this paper is to give an extensive treatment of bipartite mean field spin systems, ordered and disordered: at first, bipartite ferromagnets are investigated, achieving an explicit expression for the free energy trough a new minimax variational principle. Furthermore via the Hamilton-Jacobi technique the same free energy structure is obtained together with the existence of its thermodynam...