Bacterial evolution: rewiring modules to get in shape
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K-Theory was originally defined by Grothendieck as a contravariant functor from a subcategory of schemes to abelian groups, known today as K0. The same kind of construction was then applied to other fields of mathematics, like spaces and (not necessarily c ...
Let k be an algebraically closed field of characteristic 2. We prove that the restricted nilpotent commuting variety C, that is the set of pairs of (n x n)-matrices (A, B) such that A(2) = B-2 = [A, B] = 0, is equidimensional. C can be identified with the ...
In this work we study the oriented Chow groups. These groups were defined by J. Barge et F. Morel in order to understand when a projective module P of top rank over a ring A has a free factor of rank one, i.e is isomorphic to Q ⊕ A. We show first that thes ...
Motivated by financial applications, we study convex analysis for modules over the ordered ring L0 of random variables. We establish a module analogue of locally convex vector spaces, namely locally L0-convex modules. In this context, we prove hyperplane s ...
This chapter describes tools and techniques that facilitate a gentle introduction to fascinating concepts in digital image processing from four leading universities. Equipped with informative visualizations and a user-friendly interfaces, these modules are ...
In our previous works we had developed a framework for self-reconfiguration planning based on graph signature and graph edit-distance. The graph signature is a fast isomorphism test between different configurations and the graph edit-distance is a similari ...
Thanks to recent improvements in electronics, conductive materials and energy storage capabilities, we are now able to embed small circuits but also ultra-mobile PCs (UMPC) into clothes. These devices are able to sense, process and communicate information ...
An approach to extend the field of view of a miniaturised imaging system is introduced. This innovative approach uses multiple optical systems working in parallel and image post-processing. As an example, a module consisting of a central single micro-lens ...
We have developed a learning platform to simplify and improve teaching and practice of computer graphics for beginners and advanced students. Our goal is to offer a set of tools to help students having a better mental vision of the abstract notions introdu ...
Assurance of equity in student outcomes includes ensuring that module results are comparable within reasonable bounds. We present a procedure that first compares (and adjusts if necessary) module variances. Then, student results are individually normalised ...
