Homotopy perturbation method is a well-known method for solving many functional equations such as differential equations, integral equations, integro-differential equations and so on. Applying this method needs some computations which are boring by hand. Therefore, creating a program to do all computations would be useful. In this work, a maple program is prepared to solve the second kind of Vo...

Second language (L2) researchers have long recognized the potential benefits of incorporating pronunciation instruction in language curricula (e.g., Arteaga, 2000; Castino, 1996; Elliott, 1995, 1997; González-Bueno, 1997; Lord, 2005; Major, 1998; Moyer, 1999; Terrell, 1989; among others), and have investigated a variety of training types both in and out of the classroom, meeting with mixed succ...

The aim of this paper is to introduce the notion of commutative pseudo BE-algebras and investigate their properties.We generalize some results proved by A. Walendziak for the case of commutative BE-algebras.We prove that the class of commutative pseudo BE-algebras is equivalent to the class of commutative pseudo BCK-algebras. Based on this result, all results holding for commutative pseudo BCK-...