Let T : Ω → C n×n be a matrix-valued function that is analytic on some simply-connected domain Ω ⊂ C. A point λ ∈ Ω is an eigenvalue if the matrix T (λ) is singular. In this paper, we describe new localization results for nonlinear eigenvalue problems that generalize Gershgorin's theorem, pseudospectral inclusion theorems, and the Bauer-Fike theorem. We use… (More)
In this study, we are seeking to identify factors predicting value-driven attentional capture in the normal population. Previous research has shown that high levels of stress lead to addictive behaviors such as substance abuse (Sinha, 2001), and also that recovering substance abuse addicts show more attentional capture for rewarded stimuli than the normal… (More)
Introduction • Yang Mills equations: originated from electromagnetism and field theory. • Maxwell's equations are a trivial case of the Yang Mills equations.