This paper presents and studies the iteration-complexity of two new inexact variants of Rockafellar’s proximal method of multipliers (PMM) for solving convex programming (CP) problems with a finite number of functional inequality constraints. In contrast to the first variant which solves convex quadratic programming (QP) subproblems at every iteration, the second one solves convex constrained q...

The symmetry of floating drops is considered. Under conditions that the free boundary is flat it is shown that all three component interfaces are symmetric about a vertical line.

Based on both animal and human studies, inequality in food intake and social instability has adverse effects on the health of individuals and the community. However, it is not known whether social instability, food deprivation and food inequality affect neuronal death and premature aging in young animals. To address this question, the effects of these adverse situations, histopathological chang...

The classical oblique effect refers to the finding that observers are faster and more accurate in discriminating the orientation of a line or edge when it is at or near vertical or horizontal than when it is at an oblique orientation (Appelle, 1972; Mach, 1861). Based on the finding that observer sensitivity to orientation of simple symmetric shapes like an ellipse or the letter "X" also exhibi...

The double-diffusive convection in a compressible couple-stress fluid layer heated and soluted from below through porous medium is considered in the presence of a uniform vertical magnetic field. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, the compressibility, stable solute gradient, magnetic field, and coup...

Complex pursuit-evasion games with state variable inequality constraints are investigated. Necessary conditions of the first and the second order for optimal trajectories are developed, which enable the calculation of optimal open-loop strategies. The necessary conditions on singular surfaces induced by state constraints and nonsmooth data are discussed in detail. These conditions lead to multi...