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Search Results: 1 - 10 of 1480 matches for " Diane Riccardi "
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The Definition of Topological Manifolds
Marco Riccardi
Formalized Mathematics , 2011, DOI: 10.2478/v10037-011-0007-4
Abstract: This article introduces the definition of n-locally Euclidean topological spaces and topological manifolds [13].
Free Magmas
Marco Riccardi
Formalized Mathematics , 2010, DOI: 10.2478/v10037-010-0003-0
Abstract: This article introduces the free magma M(X) constructed on a set X [6]. Then, we formalize some theorems about M(X): if f is a function from the set X to a magma N, the free magma M(X) has a unique extension of f to a morphism of M(X) into N and every magma is isomorphic to a magma generated by a set X under a set of relators on M(X). In doing it, the article defines the stable subset under the law of composition of a magma, the submagma, the equivalence relation compatible with the law of composition and the equivalence kernel of a function. We also introduce some schemes on the recursive function.
Heron's Formula and Ptolemy's Theorem
Marco Riccardi
Formalized Mathematics , 2008, DOI: 10.2478/v10037-008-0014-2
Abstract: The goal of this article is to formalize some theorems that are in the [17] on the web. These are elementary theorems included in every handbook of Euclidean geometry and trigonometry: the law of cosines, the Heron's formula, the isosceles triangle theorem, the intersecting chords theorem and the Ptolemy's theorem. MML identifier: EUCLID 6, version: 7.8.09 4.97.1001
Planes and Spheres as Topological Manifolds. Stereographic Projection
Marco Riccardi
Formalized Mathematics , 2012, DOI: 10.2478/v10037-012-0006-0
Abstract: The goal of this article is to show some examples of topological manifolds: planes and spheres in Euclidean space. In doing it, the article introduces the stereographic projection [25].
Solution of Cubic and Quartic Equations
Marco Riccardi
Formalized Mathematics , 2009, DOI: 10.2478/v10037-009-0012-z
Abstract: In this article, the principal n-th root of a complex number is defined, the Vieta's formulas for polynomial equations of degree 2, 3 and 4 are formalized. The solution of quadratic equations, the Cardan's solution of cubic equations and the Descartes-Euler solution of quartic equations in terms of their complex coefficients are also presented [5].
The Sylow Theorems
Marco Riccardi
Formalized Mathematics , 2007, DOI: 10.2478/v10037-007-0018-3
Abstract: The goal of this article is to formalize the Sylow theorems closely following the book [4]. Accordingly, the article introduces the group operating on a set, the stabilizer, the orbits, the p-groups and the Sylow subgroups.
The Jordan-H lder Theorem
Marco Riccardi
Formalized Mathematics , 2007, DOI: 10.2478/v10037-007-0005-8
Abstract: The goal of this article is to formalize the Jordan-H lder theorem in the context of group with operators as in the book [5]. Accordingly, the article introduces the structure of group with operators and reformulates some theorems on a group already present in the Mizar Mathematical Library. Next, the article formalizes the Zassenhaus butterfly lemma and the Schreier refinement theorem, and defines the composition series.
Social responsibility: from wild capitalism to benevolent capitalism La responsabilidad social: del capitalismo salvaje al capitalismo benévolo
Riccardo Riccardi
Revista Ibero-Americana de Estratégia , 2007, DOI: 10.5585/riae.v3i1.56
Abstract: The world born of the globalization is marked by the emergence of social responsi-bility generalized and extended to all human activity fields as a consequence of the diversity and complexity that clearly define Third Milennium’s aspects. In this new context, the University’s social responsibility is fundamental to the actual passage from wild capitalism to benevolent capitalism, accompanied not only by new tech-nologies but also by solidarity and ethical principles as a distinguishable mark. El mundo generado por la globalización se caracteriza por la aparición de la respon-sabilidad social generalizada y extendida a todos los campos de la actividad humana como consecuencia de la diversidad y la complejidad que definen claramente las características del Tercer Milenio. En este nuevo contexto, la responsabilidad so-cial de la Universidad es fundamental para que el tránsito del capitalismo salvaje al capitalismo benévolo se realice, no solamente acompa ando a las nuevas tecnolo-gías, sino que éstas tengan como marco la solidaridad y los principios éticos.
Aiutare le vittime della mafia a ribellarsi
Roberto Riccardi
Rivista di Criminologia, Vittimologia e Sicurezza , 2007,
Abstract: Nino Miceli is a Sicilian man, owner of a small business: at the beginning of 1990s he is concessionnaire of cars in Gela, an quite big town in Sicily. He works hard and soon he starts to earn a lot. Business is very good, and customers are satisfied and everything seems to go on successfully. But the mafia keeps an eye on him and, at a certain point, he was asked to pay them what in Italy is called “pizzo”. Nino Miceli does not want to pay it, he does not want to surrender to the mafia coercion. However, at the beginning he pays the “pizzo” but then he starts to record the conversation he has with those men (the “mafiosi”), in order to prove and demonstrate the crime. He also looks for protection at the local station of Carabinieri; finally, he decides to report the extortion but, from that time on, he starts to experience more and more serious threats.Helped by an officer of Carabinieri, he becomes a witness of justice and, for that reason, he must change his identity. He leaves Sicily along with his family and move into a different region of Italy, far from his town, where nobody knows him. In 2007 he decides to write a book of memories, titled “Io, il fu Nino Miceli” (in English it could sound like “I was Nino Miceli”). This article tells his story, speaking also about the role played by the Arma of Carabinieri in supporting victims of racket and usury.Nino Miceli est un entrepreneur sicilien originaire de Realmonte, une ville en province d'Agrigento. Au début des années 90, il est proprietaire du garage Lancia à Gela. Il s'engage beaucoup dans son travail et les résultats ne tardent pas à arriver. La clientèle augmente, les affaires vont bon train, mais c'est justement quand l'entreprise est en train de prospérer que la mafia lui demande des comptes. Il doit payer le pot-de-vin comme tous les commer ants du quartier. Nino Miceli n'est pas d'accord avec cela. Au début il subit, mais il commence bient t à enregistrer les conversations avec les percepteurs de Cosa Nostra pour collecter les preuves du crime. Il est poussé et soutenu par un officier des Carabinieri, il porte plainte pour extorsion, et à la suite de quoi il sera menacé et subira des rétorsions. Il doit déménager, il devient témoin de justice, il change d'identité. Au début de l'année 2007 son livre est publié avec le titre "Io, il fu Nino Miceli" (Moi, le fut Nino Miceli).La revue "Il Carabiniere" a recueilli son témoignage et l'a publié dans le numéro d'Avril 2007. Cette contribution analysera donc le r le de l'Arme des Carabiniers dans le parcours entrepris par cet homme, qui devient e
'Special - From First to Last': Dan Morgenstern's Relationship with Louis Armstrong
Ricky Riccardi
Current Research in Jazz , 2012,
Abstract: Over the course of two decades, Dan Morgenstern developed a close relationship with Louis Armstrong, resulting in some of Morgenstern's most inspired and passionate writing. This article examines what Morgenstern witnessed while in Armstrong's presence.
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