502 research outputs found
Intuizione e calcolo nella progettazione dell strutture. C - D PREVENZIONE DEI DISSESTI E CONSOLIDAMENTO (Cerone M. coll)
No full text(Cerone M coll) 450 p 24x31,5
Midpoint Type Rules from an Inequalities Point of View
No full textThe article investigates interior point rules which contain the midpoint as a special case, and obtains explicit bounds through the use of a Peano kernel approach and the modern theory of inequalities. Thus the simplest open Newton-Cotes rules are examined. Both Riemann-Stieltjes and Riemann integrals are evaluated with a variety of assumptions about the integrand enabling the characterisation of the bound in terms of a variety of norms. Perturbed quadrature rules are obtained through the use of Grüss, Chebychev and Lupaş inequalities, producing a variety of tighter bounds. The implementation is demonstrated through the investigation of a variety of composite rules based on inequalities developed. The analysis allows the determination of the partition required that would assure that the accuracy the result would be within a prescribed error tolerance. It is demonstrated that the bounds of the approximations are equivalent to those obtained from a Peano kernel that produces Trapezoidal type rules
On Simpson's Inequality and Applications
No full textNew inequalities of Simpson type and their application to quadrature formulae in Numerical Analysis are given
On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results
No full textResults involving the approximation of the difference between two integral means are utilised to obtain bounds on the Integral Mean Divergence and the f−divergence due to Csiszár. The current work does not restrict the functions involved to be convex. If convexity is imposed then the Integral Mean Divergence is the Hermite-Hadamard divergence introduced by Shioya and Da-te
Approximation of the Stieltjes Integral and Applications in Numerical Integration
No full textSome inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications for the Fourier Sine and Cosine transforms on finite intervals are mentioned as
well
Cerone as historian
No full textIn 1997, Professor Robert M. Stevenson wrote an article entitled "Pedro Cerone (1566-1625): Impostor or Defender of the Faith." Professor Stevenson ends his provocative article, which includes a brilliant analysis of the reception history of El Melopeo y Maestro (Naples, 1613) as well as a comprehensive biography of its author, with an invitation to further research on various aspects of El Melopeo. In response to this invitation, the present article seeks to further our understanding of this frequently misunderstood treatise. I have often asked myself this essential question: if Cerone had never written El Melopeo or if every copy of this treatise had been lost, would our understanding of the music and theory of the 16th century be different? I think the answer is obvious.En 1997, el profesor Robert Stevenson escribió el artículo titulado "Pedro Cerone (1566-1625): Impostor or Defender of the Faith" El profesor Stevenson finaliza su provocativo artículo (que incluye un brillante análisis de la historia de la recepción de El Melopeo y Maestro, Nápoles, 1613, así como una biografía completa de su autor) con una invitación a continuar con las investigaciones sobre diversos aspectos de El Melopeo. En respuesta a su invitación, el presente artículo persigue llegar más allá en nuestra comprensión del tratado, a menudo malinterpretado. A menudo me he planteado una cuestión esencial: si Cerone no hubiera escrito nunca El Melopeo, o si todas las copias de su tratado se hubieran perdido, ¿habría sido diferente nuestra comprensión de la música y la teoría del siglo XVI? Creo que la respuesta es obvia
Un committente catalano nel monastero di Santa Scolastica a Subiaco : Lluís de Prades e la cappella degli Angeli
No full textLa cappella degli Angeli in Santa Scolastica a Subiaco costituisce una testimonianza artistica assai significativa, sia per la presenza del ciclo dipinto a tema angelico, un tema iconografico raro nel contesto peninsulare di quegli anni, sia per il carattere del luogo, che ingloba una grotta alla base della fabbrica abbaziale. L'importanza dell'oratorio è legata però soprattutto alla figura del committente, il vescovo di Mallorca Lluís de Prades, che si rifugiò a Subiaco nel terzo decennio del Quattrocento, dopo aver abbandonato la fazione avignonese dello scisma, e che qui fu sepolto dopo la morte a Roma nel 1429. Studi recenti hanno già proposto significativi collegamenti tra la cappella sublacense e il mondo aragonese, ma in questa sede un rinnovato sguardo alla figura del prelato e al suo retaggio culturale rende possibile comprendere la natura di questo luogo e il significato delle pitture. Il presente studio, dunque, si concentrerà dapprima sulla vicenda biografica del vescovo tra Spagna e Italia, quindi sulla ricostruzione del tessuto delle sue relazioni politiche e culturali. Si passerà quindi ad analizzare la peculiare architettura della cappella e il ciclo dipinto dal punto di vista formale e soprattutto iconografico, e si presenteranno alcune ipotesi di lettura dei dipinti, e del luogo che li accoglie, in relazione alla figura del loro committente.The Chapel of the Angels at the monastery of Santa Scolastica in Subiaco is an important artistic legacy, both for the presence of a pictorial cycle dedicated to the angels - a rare iconographic subject in the context of the period - and for the nature of its location, in a cave at the base of the monastic complex. The importance of the chapel is further enhanced by the figure of its patron, the bishop of Mallorca Llu s de Prades, who took refuge in Subiaco in the third decade of the fifteenth century, after abandoning the Avignonese faction of the Great Schism, and who was buried here after his death in Rome in 1429. Recent studies have already provided significant insight into links between the chapel and the Aragonese context of the time; this analysis of the historical figure of the prelate and his cultural background throws light on the nature of the site and the meaning of its decorations. The article analyses the life of the bishop in Spain and Italy, using documents found recently in the monastic archive of Subiaco, and his network of political and cultural relationships. It then analyses the architecture of the chapel and its paintings, from both a formal and iconographic point of view, and offers some hypotheses on the meaning of the cycle in relation to the themes that marked Llu s de Prades' life and worship
A Generalisation of Cerone's Identity and Applications
No full textAn identity due to P. Cerone for the Čebyšev functional is extended
for Stieltjes integrals. A sharp inequality and its application in approximating
Stieltjes integrals are also given
Robust Stability: The Computational Complexity Point of View
No full textAbstractIn this paper, we explore the new and emerging research area of robust stability and study its interplay with computational complexity. Robust stability deals with a family P consisting of all polynomials p(s, q) of fixed order n whose coefficients vary in a set Q ⊂ Rn+1. The main task of robust stability is to detect if all the roots of p(s, q) are contained in a given region D of the complex plane for all q ϵ Q. In the special case when D is the open left half plane and P is a so-called interval polynomial we combine the Theorem of Kharitonov with the Test of Routh and show that the number of elementary operations (multiplications/divisions and additions/subtractions) required for the solution of this problem is at most O(n2)
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