Matemática

A viagem de Darwin pela Matemática

Por Fabio Chalub (DM e CAM/FCT/NOVA).

"Matemática na Teoria da Evolução"

Resumo: A teoria da Evolução, originalmente proposta pelo naturalista inglês Charles Darwin, não foi inicialmente formulada em termos matemáticos. No entanto, ideias muito importantes em matemática estavam todas lá! Nesta palestra, mostraremos como durante o século XX a compreensão da evolução biológica passou de um modelo verbal para um modelo rigoroso.

On the undecidibility of type inhabitation for atomic polymorphism

Por Clarence Protin (Independent Scholar).

Abstract: Pawel Urzyczyn has shown how to obtain a syntactic proof of the undecidability of type inhabitation for systems $F$ and $F_\omega$ by a reduction involving the codification of a certain undecidable $\forall,\rightarrow$- fragment of intutitionistic predicate calculus and the use of the Curry-Howard isomorphism. We show how this technique can be simplified and used to prove the undecidability of type inhabitation for atomic polymorphism.

Why do mathematicians study differential equations? Can we solve them? Are they useful?

This talk is an invitation to the magic world of (partial and ordinary) differential equations. A (partial) differential equation is an equation that contains an unknown function and its (partial) derivatives. Such equations are used to describe a wide range of physical systems or natural processes. Examples include many aspects of our daily life. Partial Differential Equations also play an important role in several areas of mathematics such as analysis, probability and differential geometry.

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