The combination of Mathematica's high algebraic capacity and method of generating functions is becoming an extremely efficient tool in probability theory and statistics. ...

A graphical representation of the spin states of quadrupolar nuclei in NMR experiments is described. The spherical harmonics represent the irreducible spherical tensor ...

Three equilibrium reactions are taking place simultaneously to produce SynGas using coal and steam. We start by plotting the equilibrium constant versus temperature assuming ...

This kaleidoscope is an idea inspired by a Linear Algebra lesson about geometric transformations with matrices. It also grew out of an experiment with pure functions, ...

In the present paper, for the three-order nilpotent critical point of a cubic Lyapunov system, the center problem and bifurcation of limit cycles are investigated. With the ...

We present a software package written in Mathematica for standard QCD sum rules calculations. Two examples are given to demonstrate how to use the package. One is for the ...

The center problem at infinity is far to be solved in general. In this paper we develop a procedure to resolve it for a particular type of polynomial differential systems. ...

A quantum algorithm for estimating the phase, which determines the eigenvalue of a unitary operator, is discussed. It is assumed that the eigenvector of this operator and the ...

On the Hilbert space L2(T) the singular integral operator with non-Carleman shift and conjugation K = P+ + (aI + AC)P− is considered, where P± are the Cauchy ...

The paper presents a method for symbolic propagation of uncertainty in Bayesian discrete and continuous (normal) networks, using Mathematica. For the normal Bayesian networks ...