Two Mathematica rules, converting double and triple summation series to a single one, are developed. The rules allow for the elimination of redundant equations in the ...

An analytical evaluation of matrix elements of single spin operators in tetranuclear mixed-valence metal clusters is presented. The case of a ground state of the cluster with ...

Applying the higher-order averaging method, we study the periodically forced, standard Duffing oscillator. A package of the computer algebra system, Mathematica, recently ...

In this newvlhc.nb notebook, I demonstrate the use of Mathematica commands for parameter searchers of hadron colliders in which the synchrotron radiation damping time is ...

General expressions for matrix elements of the electric multipole operators in axial and triaxial harmonic oscillator basis are given. In each case we present algorithms ...

The bifurcation solutions and their stability of a three-hinged rod under spring constraints and a kind of follower force is investigated. The equations for the system are ...

Asking questions, gathering and analyzing data, recognizing patterns and interrelationships, and forming conclusions are certainly important activities in which students of ...

Virtually any external Fortran or C library routine can be imported into Mathematica using the InterCall package. For this to work, however, a default setting must be ...

Arithmetic systems such as those based on IEEE standards currently make no attempt to track the propagation of errors. However a formal error analysis can be complicated and ...

In his study of papers by Osgood of Kolchin on rational approximations of algebraic functions, Schmidt observed and proved a theorem which states that the dimension of the ...