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 ...

We adapt an earlier semiclassical theory of laser cooling of an arbitrary multistate atom to the limit of low light density. The formal theory is implemented analytically on ...

This paper treats the industrial application of computer-algebra simulation (CALS). CALS is a combination of symbolic and numeric methods, which is very well suited for ...

The O(h^4) finite-difference scheme for the second derivative u^n(x) leads to a coherent pentadiagonal matrix which is factorized into two tridiagonal matrices. This ...