Building blocks towards modeling the physical world: analysis, geometry, computer arithmetics

Duration: 1 hour 10 mins
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Description: Bertot, Y
Tuesday 25th July 2017 - 11:00 to 12:00
 
Created: 2017-08-25 16:00
Collection: Big proof
Publisher: Isaac Newton Institute
Copyright: Bertot, Y
Language: eng (English)
 
Abstract: In the long run, we should be able to formalize most of the design of cyber-physical systems and robots, to help detecting flaws at early stages of design. Among the many questions that arise, there is the question of going from an abstract design to a concrete implementation. I wish to describe two experiments where this path is taken.

A question going from mathematical analysis to computer arithmetic: computing record numbers of decimals of PI
A question going from geometry to combinatorial structures: describe triangulations and Voronoi Diagrams.

Part of this work was done in collaboration with Clément Sartori.
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