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Moufang sets and structurable division algebras Universiteit Gent
A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which is regular on the remaining vertices; these regular normal subgroups are called the root groups, and they are assumed to be conjugate and to generate the whole group. It has been known for some time that every Jordan division algebra gives rise to a Moufang set with abelian root groups. We extend this result by ...
Exceptional Moufang quadrangles and structurable algebras Universiteit Gent
Cohomological invariants of structurable algebras Universiteit Gent
Structural characterizations of the navigational expressiveness of relation algebras on a tree Universiteit Hasselt
We study the expressiveness on a given document of various fragments of XPath, the core navigational language on XML documents. Viewing these languages as fragments of Tarski's relation algebra, we give characterizations for when a binary relation on the document's nodes (i.e., a set of paths) is definable by an expression in these algebras. In contrast with this "global view" on language semantics, there is also a "local view" where one is ...
Structural characterizations of the navigational expressiveness of relation algebras on a tree Universiteit Antwerpen
We study the expressiveness on a given document of various fragments of XPath, the core navigational language on XML documents. Viewing these languages as fragments of Tarski's relation algebra, we give characterizations for when a binary relation on the document's nodes (i.e., a set of paths) is definable by an expression in these algebras. In contrast with this "global view" on language semantics, there is also a "local view" where one is ...
Structural identifiability analysis of the Anaerobic Digestion Model No. 1 using a local algebraic observability approach Universiteit Antwerpen KU Leuven
Structural identifiability is a prerequisite for a successful parameter estimation of a dynamical model. ‘Structural’ relates to the theoretical possibility of estimating the parameters under the idealized conditions that all measurements are perfect and continuous, and that the model is a perfect representation of the real process. In this research, the Anaerobic Digestion Model No. 1 (ADM1) is analysed. The model is of great importance in ...
An algebraic reconstruction technique for the study of local structural changes during CT Universiteit Antwerpen
If an object undergoes structural changes during a CT-scan, artefacts are introduced in the reconstruction. Current methods that compensate for these changes assume a continuous deformation model, which is insufficient to capture the complexity of structural changes. In this paper, an iterative method is proposed that incorporates prior knowledge about the changing region in the reconstruction algorithm, which results in significantly more ...