We study the q-Bernoulli polynomials, which were constructed by Kim, are analytic continued to beta(s)(z). A new formula for the q-Riemann zeta function zeta(q)(s) due to Kim ...

We cast the Jacobi identity for continuous fields into a local form which eliminates the need to perform any partial integration to the expense of performing variational ...

This paper is devoted to the application of the computer algebra system Mathematica for the inves tigation of a nonlinear system of algebraic equations with parameters that ...

Random matrix theory was introduced due to its profound applications in multivariate statistics, theoretical physics, and other disciplines. The matrix distributions being ...

The implosion dynamics of theta pinch is studied by simulation technique through snow plow model with the help of MATHEMATICA software. The differential equation of motion ...

This notebook is intended to show how periodic fluctuations in the mass transfer coefficient can cause not only differences in the total conversion but differences in the ...

This book examines various mathematical tools--based on generalized collocation methods--to solve nonlinear problems related to partial differential and integrodifferential ...

In a previous paper we examined the analytical solution to the NOE equation for some simple cases of molecules possessing spatial symmetry including those where, for example, ...

Kohonen's self-organizing map (SOM) is a neural network model of the unsupervised class and, by some aspects, is analogous to other clustering algorithms. The high-resolution ...

The package TTC (Tools of Tensor Calculus) implements the majority of the basic tools of tensor and exterior calculus in a differentiable manifold using the point-of-view of ...