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In this thesis, we study two distinct problems.
The first problem consists of studying the linear system of partial differential equations which consists of taking a k-form, and applying the exterior derivative 'd' to it and add the wedge product with a 1- ...
Hierarchical models of music allow explanation of highly complex musical structure based on the general principle of recursive elaboration and a small set of orthogonal operations. Recent approaches to melodic elaboration have converged to a representation ...
This chapter consists of a literature review of the concept of "gentrification" and its historical development in urban studies. On the basis of an updated (inter)national bibliography on "gentrification", described as a phenomenon that manifests itself th ...
The chemistry of aromatic triazenes is well known, and has been explored for more than a century.
These compounds have emerged as very useful intermediates, because of their unique reactivity.
This functionality can notably be used to access many other fun ...
We introduce a technique for the analysis of general spatially coupled systems that are governed by scalar recursions. Such systems can be expressed in variational form in terms of a potential function. We show, under mild conditions, that the potential fu ...
Depuis les premiers rythmes et mélodies, en passant par la musique de chambre jusqu’à l’électro, la musique dans son ensemble a évolué au fil des siècles en étroite collaboration avec l’architecture et la technique. L’acoustique d’un lieu, ainsi que sa tai ...
Given n continuous open curves in the plane, we say that a pair is touching if they have finitely many interior points in common and at these points the first curve does not get from one side of the second curve to its other side. Otherwise, if the two cur ...
Biogenic secondary organic aerosol (BSOA) contributes significantly to summertime organic particulate matter. In this study, a simulation of BSOA for summer 2012 over China is performed using the Community Multiscale Air Quality model with an explicit repr ...
We present new results concerning the approximation of the total variation, ∫Ω∣∇u∣, of a function u by non-local, non-convex functionals of the form $$ \Lambda_\delta u = \int_{\Omega} \int_{\Omega} \frac{\delta \varphi \big( |u(x) - ...
Each of the 4 ITER Electron Cyclotron Heating Upper Launcher (ECHUL) features 8 transmission lines used to inject microwave power of up to 1.31 MW (at the source) per line, into the plasma at 170 GHz. The microwaves are guided from the gyrotrons via (empty ...