There has been considerable interest in long-range one-dimensional lattice gases, in part because of formal connections with the Kondo problem, and in part because of an analogy with higher-dimensional models: continuous variation of rate of falloff is somewhat akin to continuous variation of dimension. For pair-interacting ferromagnetic models with coupling J ( j ) = j ~ , it has been known fo...

The same dosage of ultraviolet (UV) radiation retards division of several protozoans more effectively when the light is intermittent than when it is continuous, and especially at temperatures of 25-35 degrees C. At lower temperatures the difference between the effects of intermittent and continuous radiations is less marked. Somewhat similar results were obtained with the ciliates Paramecium ca...

This paper considers optimization problems with cardinality constraints. Based on a recently introduced reformulation of this problem as a nonlinear program with continuous variables, we first define some problem-tailored constraint qualifications and then show how these constraint qualifications can be used to obtain suitable optimality conditions for cardinality constrained problems. Here, th...

This paper treats identification of continuous-time output error (OE) models based on sampled data. The exact method for doing this is well known both for data given in the time and frequency domains. This approach becomes somewhat complex, especially for non-uniformly sampled data. We study various ways to approximate the exact method for reasonably fast sampling. While an objective is to gain...

where x ∈ X where X = R, u ∈ U is the set of control inputs and d ∈ D is the set of disturbance inputs, where U andD are convex and compact subsets of R and R respectively; f is a vector field, assumed to be globally Lipschitz in x and continuous in u and d; and the initial state x(0) ∈ Init where Init ⊆ R. We will use U to denote the set of piecewise continuous functions from R to U and D to d...

We consider black holes in EYM theory with a negative cosmological constant. The solutions obtained are somewhat different from those for which the cosmological constant is either positive or zero. Firstly, regular black hole solutions exist for continuous intervals of the parameter space, rather than discrete points. Secondly, there are non-trivial solutions in which the gauge field has no nod...

In the classic paper [1] it is proven that the mesh-functions obtained by solving a discrete analogue of the Dirichlet problem converge, as the mesh-width approaches zero, to a harmonic function which solves the Dirichlet problem in a somewhat generalized sense. More precisely, let the function / be continuously differentiable in a bounded plane domain G and continuous in the closure G of G, an...

This paper treats identi cation of continuous-time output error (OE) models based on sampled data. The exact method for doing this is well known both for data given in the time and frequency domains. This approach becomes somewhat complex, especially for non-uniformly sampled data. We study various ways to approximate the exact method for reasonably fast sampling. While an objective is to gain ...