We analyze a possibility to reduce an impact of pollution emission in water bodies on its quality exponent by an appropriate redistribution of pollution density. Mathematically we consider a one dimensional model with advection, diffusion and reaction term and show that in the licensed area for a...

We give an introduction to the theory of singular Legendre varieties and then describe its application to the generic singularities classification of the implicit systems of ODE first integrals in three space and to the wave front propagations.

Este Ano Internacional da Astronomia é também um ano de celebração da Matemática, pois estas duas áreas do conhecimento sempre estiveram interligadas. Falaremos nesta palestra de uma área da matemática, a estatística, que pareceria mais apropriada ao estudo de fenómenos erráticos, como os da...

Very basic results and ideas of symplectic topology are presented in the context of symplectic embeddings of ellipsoids, in a way that should be understandable to any post-graduate (or good undergraduate) student , with no previous knowledge of the subject. A simple version of symplectic...

*** Integrated in the area of Signal Processing and Data Analysis
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****Integrated in the Area of Signal Processing and Data Analysis
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Our work on Information Theoretic Learning uncovered the central role that moments of the PDF, instead of the moments of the data, assume in the definition of cost functions for advanced adaptive filtering. An obvious link to Information Theory thru Renyi’s entropy exists and has provided further...

Leonhard Euler, who would be 300 years old if he had not unfortunately died, was the preeminent mathematician of the 18th century. His many fundamental contributions range from number theory to geometry, differential equations to infinite series, optimization to probability, optics to mechanics....

Box-models are important for qualitative description of thermohaline circulation. Their bifurcation analysis helps to understand possible mechanisms for the loss of stability. So far, bifurcations in box-models have been studied numerically, except for the saddle-node bifurcation in the Stommel...