1,572 research outputs found
Sardegna fra lunga durata e «histoire événementielle» : la suggestione dell’immobilità , la levità degli accadimenti
No full textCadeddu Maria Eugenia. Sardegna fra lunga durata e «histoire événementielle» : la suggestione dell’immobilità , la levità degli accadimenti. In: Mélanges de l'École française de Rome. Moyen-Age, tome 113, n°1. 2001. pp. 41-56
Sardegna fra lunga durata e «histoire événementielle» : la suggestione dell’immobilità , la levità degli accadimenti
No full textCadeddu Maria Eugenia. Sardegna fra lunga durata e «histoire événementielle» : la suggestione dell’immobilità , la levità degli accadimenti. In: Mélanges de l'École française de Rome. Moyen-Age, tome 113, n°1. 2001. pp. 41-56
A brief note on the coarea formula
No full textIn this note we consider a special case of the famous Coarea Formula whose initial proof (for functions from any Riemannian manifold of dimension 2 into R) is due to Kronrod (Uspechi Matem Nauk 5(1):24–134, 1950) and whose general proof (for Lipschitz maps between two Riemannian manifolds of dimensions n and p) is due to Federer (Am Math Soc 93:418–491, 1959). See also Maly et al. (Trans Am Math Soc 355(2):477–492, 2002), Fleming and Rishel (Arch Math 11(1):218–222, 1960) and references therein for further generalizations to Sobolev mappings and BV functions respectively. We propose two counterexamples which prove that the coarea formula that we can find in many references (for example Bérard (Spectral geometry: direct and inverse problems, Springer, 1987), Berger et al. (Le Spectre d’une Variété Riemannienne, Springer, 1971) and Gallot (Astérisque 163(164):31–91, 1988), is not valid when applied to C∞ functions. The gap appears only for the non generic set of non Morse functions
A short note on the mean exit time of the Brownian motion
No full textWe investigate the functional (Formula presented.) where (Formula presented.) runs through the set of compact domains of fixed volume (Formula presented.) in any Riemannian manifold (Formula presented.) and where (Formula presented.) is the mean exit time from (Formula presented.) of the Brownian motion. We give an alternative analytical proof of a well-known fact on its critical points proved by McDonald: the critical points of (Formula presented.) are harmonic domains
Isolamento e plurilinguismo. Il caso dell'Ogliastra in Sardegna (secoli XVII-XVIII)
No full textEmbedded between mountains and sea, in the eastern Sardinia, Ogliastra is
often described as a fascinating region, an ideal place to spend a holiday, due
to its rugged and wild natural landscapes, beautiful beaches and historical
monuments. Ogliastra is also known for the longevity of its population and the
high number of centenarians, but in the past it was considered one of the most
isolated and underdeveloped areas in Sardinia.
The isolation of Ogliastra, frequently highlighted by travel books, it was never
absolute and was not an obstacle for the spread of Catalan and Castilian
languages in the Modern Ages. The article, especially based on an analysis of
notarial records, describes how these two languages were used in the writing
context of Ogliastra and what was the role of Latin and Sardinian languages in
the same context
Julien Benda’s political Europe and the treason of intellectuals
No full textWhenever the problem of the relationship between culture and politics is
addressed, Julien Benda undoubtedly remains the most frequently
mentioned author at the international level. His indictment of the
intellectuals’ betrayal is as famous as his speeches to the European
nation, published in 1933, about !ve years later than his widely difused
La Trahison des clercs. Throughout the Discours à la nation européenne,
the author explicitly addresses the intellectuals already mentioned in
his previous essay and asks them to assume responsibility – becoming
protagonists of a new moral revolution. His intention was to reply to
Fichte’s well-known Reden an die deutsche Nation. The idea of Europe
could be built to transcend nations, manifesting itself as the individual’s
renunciation of himself. In this way, the idea of Europe might appear as
a ‘moral act’: renouncing the distinct and the finite and turning to unity
and infnity. Benda was aware of the possible rise of a type of ‘Europhile
nationalism’. To prevent this, he saw it necessary to avoid the closure of
the nation and prolong this movement of association so that it might
increase its tendency to be inclusive. The political vision of Europe that
Julien Benda hoped for should not generate European sovereignty. But,
by prompting intellectuals to follow practical and political methods, he
consciously exploits their role – stated in La Trahison des clercs – with
the hope of building the moral and political framework of a united
Europe
Napoleon, Fermat and some problems about triangles
No full textThis paper deals with Napoleon Bonaparte’s special interest in science, and in particular, in mathematics and geometry. Some theorems about triangles ar e known as “Napoleon’s theorems” though the attribution is questionable. The paper also deals with the close link between Napoleon’s theorem and Fermat’s point. Moreover, Napoleon’s tessellation and some simple applications are investigated
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