This paper improves constrained simulated annealing (CSA), a discrete global minimization algorithm with asymptotic convergence to discrete constrained global minima with probability one. The algorithm is based on the necessary and suucient conditions for discrete constrained local minima in the theory of discrete La-grange multipliers. We extend CSA to solve nonlinear continuous constrained op...

A natural way to handle optimization problem with data affected by stochastic uncertainty is to pass to a chance constrained version of the problem, where candidate solutions should satisfy the randomly perturbed constraints with probability at least 1− . While being attractive from modeling viewpoint, chance constrained problems “as they are” are, in general, computationally intractable. In th...

LetX be a standard probability space and Tt a measure-preserving semiflow on X. We show that there exists a set X0 of full measure in X such that for any x ∈ X0 and t ≥ 0 there are measures μx,t and μ − x,t which for all but a countable number of t give a distribution on the set of points y such that Tt(y) = Tt(x). These measures arise by taking weak∗−limits of suitable conditional expectations...

In this paper we present and review a number of fundamental constraints that exist on the propagation of orbit uncertainty and phase volume flows in astrodynamics. These constraints arise due to the Hamiltonian nature of spacecraft dynamics. First we review the role of integral invariants and their connection to orbit uncertainty, and show how they can be used to formally solve the diffusion-le...

Aiming to provide a new class of game dynamics with good long-term rationality properties, we derive a second-order inertial system that builds on the widely studied “heavy ball with friction” optimization method. By exploiting a well-known link between the replicator dynamics and the Shahshahani geometry on the space of mixed strategies, the dynamics are stated in a Riemannian geometric framew...

myoepithelioma is a rare neoplasm of the salivary glands, generally occurring in the parotid gland and less often in the minor accessory salivary glands of the oral cavity. it is known to be a rare entity occurring at unusual locations, which makes it difficult to diagnose. such a rare case of myoepithelioma in salivary glands present at an unusual location around the left orbit is presented here.

In-orbit relative navigation between a networked swarm of centimeter-scale femto-spacecraft would add considerable value to range space mission concepts and applications, such as for multipoint sensing distributed sparse aperture interferometry. For femto-spacecraft, position determination be possible by inferring coarse estimates from the received signal strength indication associated with com...

Stochastic effects may cause "fade-out" of an infectious disease in a population immediately after an epidemic outbreak. We evaluate the epidemic fade-out probability by a WKB method and find that the most probable path to extinction of the disease comes from an instantonlike orbit in the phase space of an underlying Hamiltonian flow.

Magnetically induced probability currents in molecules are studied in relativistic theory. Spin-orbit coupling (SOC) enhances the curvature and gives rise to a previously unobserved current cusp in AuH or small bulge-like distortions in HgH2 at the proton positions. The origin of this curvature is magnetically induced spin-density arising from SOC in the relativistic description.