Inertial law of symplectic forms on modules over plural algebra
In this paper the problem of construction of the canonical matrix belonging to symplectic forms on a module over the so called plural algebra (introduced in [5]) is solved.
In this paper the problem of construction of the canonical matrix belonging to symplectic forms on a module over the so called plural algebra (introduced in [5]) is solved.
L’Académie royale des sciences frappe d’interdit la quadrature du cercle en 1775. Au travers d’exemples issus de manuscrits de l’époque, nous replaçons dans leurs contextes historiques les arguments présentés par l’Académie pour justifier sa décision : à savoir le mythe d’un prix pour récompenser la découverte de la quadrature du cercle et une conviction, issue de l’expérience, de l’inutilité de critiquer les quadratures. Nous donnons un aperçu de l’importance de la place occupée par les écrits...
We describe the notion of a weakly Lipschitz mapping on a stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms. This class includes the Whitney (B) condition and the Verdier condition.
Geometric properties of finite systems of homogeneous resistive wire segments in a Euclidean -space are studied in the case that the absorption of energy of such a system in an arbitrary linear electrical field is invariant under any orthogonal transformation of the system.