This paper investigates the $p$-center location problem on a network in which vertex weights and distances between vertices are uncertain. The concepts of the $alpha$-$p$-center and the expected $p$-center are introduced. It is shown that the $alpha$-$p$-center and the expected $p$-center models can be transformed into corresponding deterministic models. Finally, linear time algorithms for find...

We present and numerically solve a modified form of the equation of motion for a charged particle under the influence of an external force, taking into account the radiation reaction. This covariant equation is integro-differential, as Dirac-Röhrlich's, but has several technical improvements. First, the equation has the form of Newton's second law, with acceleration isolated on the left hand si...

• To propose a direct and “elementary” proof of the main result of [3], namely that the semi-classical spectrum near a global minimum of the classical Hamiltonian determines the whole semi-classical Birkhoff normal form (denoted the BNF) in the non-resonant case. I believe however that the method used in [3] (trace formulas) are more general and can be applied to any non degenerate non resonant...

We adopt in this paper the newly developed composite nonlinear feedback (CNF) control method to track general target references for systems with input saturation. The original formulation of the CNF control technique is only applicable to set-point tracking, in which the target reference is set to be a constant. In this paper, a reference generator, which is able to produce more general referen...

Duality of abelian gauge theories are considered. By compactifying a self dual p-form theory on some compact space, we determine the duality generator of the gauge theory. In this picture duality is seen as a consequence of the geometry of the compact space. We describe the compactification of 10-dimensional self dual 4-form Maxwell theory to give a theory in 4-dimensions with scalar, one form ...

The dramatic resurgence of Negro nationalism, its emergence as a viable, authentic trend is one of the most significant developments of the present day Negro freedom scene. With the appearance of the Black Muslims, its most articulate and best organized manifestation, Negro Nationalism, for the first time since the Garvey movement, has attained the significance of a major mass trend. It is havi...

An adaptation of a quaternionic proof of the Sum of Four Squares Theorem over Q( p 5) is used to show that a particular non-classical quaternary quadratic form is universal.

We give a decomposition of the equational theory of call-byvalue λ-calculus into a confluent rewrite system made of three independent subsystems that refines Moggi’s computational calculus: – the purely operational system essentially contains Plotkin’s βv rule and is necessary and sufficient for the evaluation of closed terms; – the structural system contains commutation rules that are necessar...