Mathematical Logic Webinar

A nonstandard model for linear systems with uncertainties

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Speaker: Imme van den Berg (CIMA, Universidade de Évora).

Abstract: Uncertainties and imprecisions in measurement and calculation are modelled within nonstandard analysis. The approach is asymptotic, taking profit of the existence of infinitesimals and of a large hierarchy of orders of magnitude within the infinitesimals. We do not use groups of functions, like Oh’s and oh’s, but convex groups of real numbers, so-called (scalar) neutrices. They obey algebraic laws not unlike the laws of the real number system itself, modelling error propagation. We study systems of linear equations, treating imprecisions individually by neutrices, both in the coefficients and the right-hand side. The algebraic laws are strong enough for defining the usual concepts of linear algebra and applying general solution methods, like Gauss-Jordan elimination and Cramer’s rule. Solution sets are intermediate between points and linear subspaces, based on neutrices with a well-defined higher dimension.

Joint work with Nam Van Tran, Ho Chi Min City University of Technology and Education, Vietnam, and Júlia Justino, Instituto Politécnico de Setubal.

Zoom Meeting | ID da reunião: 890 8479 3299 - Senha de acesso: 409604

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RSS Meetup, por Catarina Gamboa (LASIGE, DI-FCUL).

Seminário de Pós-graduação (Doutoramento em Biologia), por Liliana Andreia dos Santos Ferreira.

Solid Earth Seminar, por Débora Duarte (Royal Holloway - University of London, UK).

Fotografia de cigarra e informações relacionadas com o concurso

Onde vivem as 13 espécies de cigarras conhecidas em Portugal? É este o desafio lançado pelo projeto Cigarras de Portugal, do cE3c.

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Applications until 12 August 2021.

The International Doctorate Network in Particle Physics, Astrophysics and Cosmology (IDPASC) is an interdisciplinary network whose aim is to train a new generation of high-level experts in the fields of Particle Physics, Astrophysics and Cosmology.

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Summer School no âmbito da Rede UNITE! (University Network for Innovation, Technology and Engineering), de que faz parte a ULisboa.

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