Means,Milne’s inequality,and quadrilateral area

Aequationes mathematicae - We discuss Milne’s inequality and apply it to the sides of a convex quadrilateral to derive an approximation to the area of the quadrilateral via arithmetic and...     

On the law S ( S ( x , y ), T ( x , y )) = S ( x , y ) of fuzzy logic

Motivated by some functional models arising in fuzzy logic, when classical boolean relations between sets are generalized, we study the functional equation S(S(x, y), T(x, y)) = S(x, y), where S is a continuous t-conorm and T is a continuous t-norm. Some interesting methods for solving this type of equations are introduced.     

Acoustically induced potential dots in GaAs quantum wells

Dynamic dots (DDs) consisting of confined and mobile potentials are realized by the interference of orthogonal surface acoustic wave (SAW) beams in GaAs quantum wells. Photoluminescence spectroscopy reveals that the DDs are characterized by a peculiar distribution of strain and piezoelectric fields dictated by the lattice symmetry, which is quite different from the one induced by a single SAW. We demonstrate the unique ability of DDs to control the flow of photogenerated electron-hole pairs and of photons by realizing an electronic switch based on SAWs.     

Action de l'AMP-c sur les monocouches mixtes de céphaéline-albumine d'œuf

Résumé En vue de vérifier si l'AMP-cyclique produit une action expansive lorsqu'il agit sur les monocouches de lipoprotéines mixtes ces monocouches insolubles ont été préparées avec de la céphaéline et de l'albumine dóeuf.Ces monocouches ont montré une bonne miscibilité entre les deux composants, et seules de faibles actions réciproques ont été observées.La pénétration de l'AMP-cyclique dans ces monocouches mixtes produit un effet expansif appréciable, son action atteignant le niveau maximal lorsque la concentration de l'AMP-cyclique dans la sous-phase est de 10^–6 M (concentration normale de la cellule).Un effet similaire sur les membranes mixtes de lipoprotéines de la paroi cellulaire est attribué a l'AMP-cyclique.

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With a view to checking whether cyclic-AMP produces an expansive action when acting on mixed lipoprotein monolayers, such insoluble monolayers were prepared with cephalin and egg albumin. These layers showed a good miscibility between the two components, with only weak interactions being observed.The penetration of cyclic-AMP in these mixed monolayers produces an appreciable expansive effect, its action reaching a maximum level when the cyclic-AMP concentration in the subphase is 10^–6 M (standard cell concentration).A similar effect on the lipoprotein mixed membranes of the cell wall is attributed to cyclic-AMP.

Directeur du Département: Prof. Dr. Serafín Garcia Fernández     

On Two Functional Equations Related to A Result of Grégoire De Saint Vincent

We give two characterizations of the exponential function by solving two functional equations related to some classical considerations made by Grégoire de Saint-Vincent in the 17th century.     

On a family of connectives for fuzzy sets

In this paper we find the general solution of the functional equation $\text{S}{}^1\text{(T(x, y), T(x, N(y))) = x}$, where $\text{S}{}^1$ is a t-conorm, T is a t-norm and N is a strong negation on the unit interval. In particular the result yields a family of connectives for fuzzy sets.