This paper proposes a new symbolic method for solving a class of higher-order equations with an unknown function over the complex domain. Our method exploits the closure ...

The efficiency of the application of soft computing methods like Artificial Neural Networks (ANN) or Support Vector Machines (SVM) depends considerably on the ...

Some functions of the author´s Mathematica 9 package are presented. Links are given to the author´s interactive demonstrations. Mathematica supports 143 types of ...

Briefly, this submission is an extension of my last three submissions. I have extended the number of unknowns and equations for quaternions, octonions and sedenions. These ...

In analyzing differential equations, computer algebra or symbolic computation is useful when we want to know the relation between the solutions and the parameters at the ...

The solution to a system of n linear equations in n unknowns with integer coefficients is generally rational and not necessarily integer. For this reason, it would not appear ...

We develop a novel transformation that maps the linear, non-homogeneous, multidimensional population balance equation (PBE) into an advection equation that is readily solved ...

A method is described for computing numerically the Lie algebraic transfer map for a solenoid, including fringe-field effects, through third order. The method can easily be ...

This text, appropriate for graduate students and professionals, presents the basic concepts and methods of fluid mechanics, including Lagrangian and Eulerian descriptions. ...

The work described in this paper is part of a broader research activity on the development of a virtual ear. The present study focuses on the tympanic membrane and auditory ...