Computers have long been used by scientists, engineers, and mathematicians for the solution of numerical problems requiring more calculations than can be reasonably performed ...

We develop a general method for analyzing the renormalization group equations (RGE's) to one-loop and two-loop order in grand unified theories (GUT's) which can have an ...

This is an introductory graduate-student course in nonlinear programming. The focus is on theory and algorithmic methods for solving equations and for the related task of ...

The following equation is taken from my brother's algebra workbook. Sqrt(5-2*Sqrt(6))=Sqrt(3)-Sqrt(2) He always challenges me to prove these equations like this by ...

The package BeamStatics.m calculates shear force, bending moment, slope, and deflection functions for a straight Euler--Bernoulli beam in static equilibrium. The program is ...

The natural frequencies of annular plates on a aperture of an infinite rigid wall and in contact with a fluid on one side are theoretically obtained by using the added mass ...

Phase diagrams involving solid solutions are calculated by solving sets of non-linear equations. In calculating P-T projections and compatibility diagrams, the equations used ...

Focusing on small size-parameter particles, this paper compares several easily-computable approximations to the Mie equations, including those by Rayleigh, Penndorf and ...

Many interesting solutions of the so-called Basler problem of evaluating the Riemann zeta function zeta(s) when s=2, which was of vital importance to Euler and the Bernoulli ...

A long-wavelength model of polar optical modes coupling the vibration amplitude mu (the relative displacement vector) and the electrostatic potential psi leads to a system of ...