We present a non-commutative algorithm for the multiplication of a 2x2-block-matrix by its transpose using 5 block products (3 recursive calls and 2 general products) over C or any finite field.We use geometric considerations on the space of bilinear forms describing 2x2 matrix products to obtain this algorithm and we show how to reduce the number ...
In the aeronautics domain, development errors may contribute to catastrophic failures and they shall be prevented by appropriate assurance activities. So the aeronautics standards propose Development Assurance Levels (DAL), which define the levels of development rigor applicable to functions, software or hardware items of an aircraft. The allocatio...
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Human gait patterns have been intensively studied, both from medical and engineering perspectives, to understand and compensate pathologies. However, the muscle-force sharing problem is still debated as acquiring individual muscle force measurements is challenging, requiring the use of invasive devices.Recent studies, using various objective functi...
In order to increase the volume of data to be downloaded, in the case of Earth observation data downlink systems, in the same way as in the case of new satellite communication systems, a migration to a higher frequency provides greater available bandwidth needed to carry the high data rate required to increase the volume of data returned. However, ...
The design of an aircraft manufacturing system depends highly on the design of the aircraft itself. In this work, we propose an approach based on conceptual modelling and optimization methods that allows to take into account the impact of an aircraft design on its assembly line design. We start by eliciting early requirements in a real industrial u...
In recent decades, the demand for fixed and mobile communication services as well as over-the-air television, digital broadcasting or broadband Internet has raised exponentially. To meet these growing needs, telecommunication satellite operators must continually increase the capacity of their satellites, which leads to a significantly higher number...
Honeycomb structures are widely used in energy absorption, and more recently auxetic honeycombs have been studied in order to improve absorption capabilities of such structures. The hexagonal re-entrant (HR) honeycomb is foreseen to be a promising structure under impact velocities. An experimental analysis of the re-entrant honeycomb under impact v...
In this work, we analyze a sequential game played in a graph called the Multilevel Critical Node problem (MCN). A defender and an attacker are the players of this game. The defender starts by preventively interdicting vertices (vaccination) from being attacked. Then, the attacker infects a subset of non-vaccinated vertices and, finally, the defende...
The Critical Node Problem is a well-known optimisation problem that aims to find the subset of nodes in a graph whose removal impacts the graph connectivity as much as possible according to a specific connectivity measure. In this work, we study a new version of the Critical Node Problem, which we call the Connected Critical Node Problem, where the...
