The Coriolis force, named after French mathematician Gaspard Gustave de Coriolis (1792–1843), has traditionally been derived as a matter of coordinate transformation by an essentially kinematic technique. This has had the consequence that its physical significance for processes in the atmosphere, as well for simple mechanical systems, has not been fully comprehended. A study of Coriolis’s own s...

This paper deals with the optimal design of a stand-alone hybrid system composed of wind turbines, solar photovoltaic panels and batteries. To compensate for a possible lack of energy from these sources, an auxiliary fuel generator guarantees to meet the demand in every case but its use induces important costs. We have chosen a two-stage robust approach to take account of the stochastic behavio...

Given two strings: pattern P of lengthm and text T of length n. The stringmatching problem is to nd all occurrences of the pattern P in the text T . We present a simple string-matching algorithms which works in average o(n) time with constant additional space for one-dimensional texts and two-dimensional arrays. This is the rst attempt to the small-space string-matching problem in which subline...

We consider Lagrangian duality based approaches to design and analyze algorithms for online energy-efficient scheduling. First, we present a primal-dual framework. Our approach makes use of the Lagrangian weak duality and convexity to derive dual programs for problems which could be formulated as convex assignment problems. The duals have intuitive structures as the ones in linear programming. ...

This paper deals with the optimal design of a stand-alone hybrid system composed of wind turbines, solar photovoltaic panels and batteries. To compensate for a possible lack of energy from these sources, an auxiliary fuel generator guarantees to meet the demand in every case but its use induces important costs. We have chosen a two-stage robust approach to take account of the stochastic behavio...

We consider large-scale least squares problems where the coefficient matrix comes from the discretization of an operator in an ill-posed problem, and the right-hand side contains noise. Special techniques known as regularization methods are needed to treat these problems in order to control the effect of the noise on the solution. We pose the regularization problem as a quadratically constraine...

We introduce a family of models for quantum mechanical, one-dimensional random walks, called quantum multibaker maps (QMB). These are Weyl quantizations of the classical multibaker models previously considered by Gaspard, Tasaki, and others. Depending on the properties of the phase's parametrizing the quantization, we consider only two classes of the QMB maps: uniform and random. Uniform QMB ma...