Symbolic transformations are considered in the non-commutative algebras which arise under the group-theoretical treatment of the many-body quantum systems in the secondary ...

Half-explicit Runge-Kutta methods for differential-algebraic problems of index 2 are investigated. It is shown how the arising order conditions can be solved and a particular ...

We give a classification of generalized conics analogous to the classical ones due to the weights and locations of the focal points. We also examine generalized conics with ...

The mathematics behind various nonlinear optimization techniques can be obscured by the details of the numerical methods used to reach the solution. Using symbolic matrix ...

I have created several activities that I use with my high school students in Algebra I, Calculus, and Linear Algebra Classes. I have also developed additional assignments for ...

A symbolic algebra package, Mathematica, is used to investigate the analytical integration of the mixed finite element stiffness matrices. Two mixed finite elements of the ...

The task of the theory domain is to develop methods to solve practical problems, organizes and makes intelligible field of knowledge on which it is based. In order to solve ...

Do you like to learn something boring, which you don't know what it is good for? No? We don't either! Thus our motto: "Mathematics is relevant and interesting." In this ...

The paper deals with problems arising in the application of the computer algebra systems for the symbolic-numeric stability analysis of difference schemes and schemes of the ...

We present FormTracer, a high-performance, general purpose, easy-to-use Mathematica tracing package which uses FORM. It supports arbitrary space and spinor dimensions as well ...