In 1789, when neither the physical basis of hue nor the retinal basis of color perception was established, the mathematician Gaspard Monte stated firmly that our color perceptions do not depend on the absolute value of the physical variable, but are influenced by the context and in particular by our estimate of the illuminant. He used this insight to explain color contrast effects and the Parad...

Stochastic Schrodinger equations are used to describe the dynamics of a quantum open system in contact with a large environment, as an alternative to the commonly used master equations. We present a study of the two main types of non-Markovian stochastic Schrodinger equations, linear and nonlinear ones. We compare them both analytically and numerically, the latter for the case of a spin-boson m...

Constraint-based pattern mining approaches for the analysis of relational attributed dynamic graphs Acknowledgments Je tiens à remercier ici toutes les personnes qui m'ont donné la chance de travailler avec elles : Jean-François pour sa confiance, son soutient et les beaux projets dans lesquels il m'a impliquée; les plus jeunes de l'équipe – Jérémy, Ruggero, Loïc – dont le départ a souvent lais...

Résumé Les systèmes embarqués sur puce (ou system-on-chip, SoC) sont de plus en plus sophistiqués en intégrant de multiples fonctionnalités. Ils requièrent beaucoup de ressources pour améliorer les performances d’exécution. Leurs développements posent un véritable défi en raison, à la fois de leurs complexités et de leurs exigences en qualité de service. Cet article s’intéresse à la conception ...

For the first time we apply a new method based on the mathematical derivation of some known isotherm from the Burr function which describes many birth-death (sorption-desorption) phenomena in ecology and economy. Therefore, in this study the experimental isotherm data of biosorption of Pb(II) onto algae was modeled to Langmuir, Hill-Sips, Brouers-Sotolongo, BrouersGaspard, and Redlich-Peterson ...

We generalize Gaspard's method for computing the ε-entropy production rate to dissipative systems with attractors. This approach leads to a natural definition of a coarse grained Gibbs entropy which is extensive, and which can be expressed in terms of the SRB measures and volumes of the coarse graining sets which cover the attractor. One can also study the entropy and entropy production as func...

Polynomials: Mechanisms have been characterized by the curves that they trace since the time of Archimedes [1]. In the 1800’s, F. Reuleaux, A. B. W. Kennedy and L. Burmester formalized this by applying the descriptive geometry of Gaspard Monge to the analysis and synthesis of machines [2]. James Watt’s invented a straight-line linkage to convert the linear expansion of steam into the rotation o...

A discrete-state model of the F1-ATPase molecular motor is developed which describes not only the dependences of the rotation and ATP consumption rates on the chemical concentrations of ATP, ADP, and inorganic phosphate, but also on mechanical control parameters such as the friction coefficient and the external torque. The dependence on these mechanical parameters is given to the discrete-state...