We consider Newton’s algorithm as well as a variant, the Gauss– Newton algorithm, to solve a system of nonlinear equations F (x) = 0, where x ∈ R , F : R → R. We use a line search method to ensure global convergence. The exact form of our algorithm depends on the rank of the Jacobian J(x) of F . Computational results on some standard test problems are presented, which show that the algorithm ma...

It is proven that any spherically symmetric spacetime that possesses a compact Cauchy surface and that satis es the dominant-energy and non-negative-pressures conditions must have a nite lifetime in the sense that all timelike curves in such a spacetime must have a length no greater than 10max (2m), where m is the mass associated with the spheres of symmetry. This result gives a complete resolu...

OBJECTIVE To investigate the psychiatric symptomatology and personality characteristics of Korean senior high school students considered to use the Internet to excess. METHOD We administered a questionnaire packet to students that included 4 measures. These measures included a questionnaire on Internet use patterns during the previous month, the Internet Addiction Test (IAT), the Symptom Chec...

Multidimensional Inventory Check List of Symptoms (SCL-90-r) is based on self-evaluation and it has been used for determination of level of: somatisation, obsessive-compulsive symptoms, interpersonal sensitivity, depression, anxiety, hostility, phobias, paranoia and psychosis at persons which are exposed to long term emotional and physical stress. Our goal was to determine relations of physical...

In this thesis, we develop the necessary statistical framework to produce accurate forecasts of total bookings in a particular fare class on a specific flight number departing on a given date at various points before departure. After an introduction to the basic terminology of the airline booking process, a rigorous probabilistic model is developed. The booking process is modeled as a stochasti...