Many science and engineering problems can be formulated as optimization problems that are governed by m-flow type PDEs (multitime evolution systems) and by cost functionals expressed as curvilinear integrals or multiple integrals. Though these functionals are mathematically equivalent on m-intervals, their meaning is totally different in real life problems. Our paper discusses the m-flow type P...

An algorithm is proposed to determine the topology of an implicit real algebraic surface in R. The algorithm consists of three steps: surface projection, projection curve topology determination and surface patches composition. The algorithm provides a curvilinear wireframe of the surface and the surface patches of the surface determined by the curvilinear wireframe, which have the same topology...

This paper describes the elements for writing hybrid and electromagnetic plasma simulation codes in generalized curvilinear coordinates. The coordinate system is described by a table giving the three-dimensional Cartesian coordinate positions of a structured curvilinear coordinate mesh. The paper shows how to calculate the geometric coefficients of the differential operators describing the elec...

Although expressed emotion (EE) has been demonstrated to be associated with the course of schizophrenia, the nature of this relationship is unclear. This study proposes that testing for curvilinear relationships can identify the specific nature of the relationships between EE indices and relapse. The utility of curvilinear models was explored through a reanalysis of data from a prior study of E...

Advanced methods are now available for conformally wrapping planar, silicon-based electronics circuits onto complex, curvilinear surfaces. Here, buckling physics of circuits configured into mesh geometries consisting of silicon islands interconnected by narrow ribbons leads to out of plane displacements across different parts of the curvilinear surface, in a way that accommodates strains associ...

Use of the Global Positioning System (GPS) for quantifying athletic performance is common in many team sports. The effect of running velocity on measurement validity is well established, but the influence of rapid directional change is not well understood in team sport applications. This effect was systematically evaluated using multidirectional and curvilinear adaptations of a validated soccer...

R esum e : L'ACC est un r eseau de neurones auto-organis e qui donne une carte de la sous-vari et e d'un nuage de donn ees en grandes dimensions non lin eairement d ependantes. Le principe est de construire une relation entre un espace d'entr ee (les don-n ees) et un espace de sortie (la carte) au moyen d'un ensemble de neurones ayant chacun deux vecteurs-poids : un pour l'entr ee et l'autre po...