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Group actions in noncommutative projective geometry University of Antwerp
Noncommutative Projective Geometry and Calabi-Yau Algebras Hasselt University
De rode draad doorheen dit proefschrift is de notie van Calabi-Yau algebra, gedefinieerd door een zekere dualiteitseigenschap. In het inleidende hoofdstuk, geven we een overzicht van hun rol in de algebra en de meetkunde. In het bijzonder beschrijven de constructie van de Ginzburg DG algebra van een quiver met potentiaal alsook de hogere preprojectieve algebra van een eindige dimensionale algebra die telkens een voorbeeld van Calabi-Yau algebra ...
HYPERSPECTRAL UNMIXING WITH PROJECTION ONTO CONVEX SETS USING DISTANCE GEOMETRY KU Leuven University of Antwerp
© 2015 IEEE. In this paper, a new method is presented to solve the spectral unmixing problem. The method is based on the projection on convex sets principle, in which a simplex is considered as an intersection of a plane and half-spaces, and the abundances are obtained by alternatively projecting data onto the half-spaces using the well-known Dykstra algorithm. In this paper, every step of such a recently developed alternating projection ...
Protective geometry and reproductive anatomy as candidate determinants of clutch size variation in pentatomid bugs Ghent University
Many animals lay their eggs in clusters. Eggs on the periphery of clusters can be at higher risk of mortality. We asked whether the most commonly occurring clutch sizes in pentatomid bugs could result from geometrical arrangements that maximize the proportion of eggs in the cluster's interior. Although the most common clutch sizes do not correspond with geometric optimality, stink bugs do tend to lay clusters of eggs in shapes that protect ...
Preservation of volumetric bone density and geometry in trans women during cross-sex hormonal therapy: a prospective observational study Ghent University
Codes of Desarguesian projective planes of even order, projective triads and (q+t,t)-arcs of type (0,2,t) Ghent University
A Note on Small Weight Codewords of Projective Geometric Codes and on the Smallest Sets of Even Type Vrije Universiteit Brussel
Small Weight Codewords of Projective Geometric Codes Vrije Universiteit Brussel Ghent University
We investigate small weight codewords of the p-ary linear code Cj,k(n, q) generated by the incidence matrix of k-spaces and j-spaces of PG(n, q) and its dual, with q a prime power and 0 ≤ j<k<n. Firstly, we prove that all codewords of Cj,k(n, q) up to weight (3 − O ( 1/q )) times the number of j-spaces in PG(k,q) are linear combinations of at most two k-spaces (i.e. two rows of the incidence matrix). As for the dual code Cj,k(n, q)⊥, we ...