1,062 research outputs found
Fixed point iterative schemes for variational inequality problems
No full textWe apply fixed point iterative schemes to variational inequality problems, via admissible perturbations of projection operators in real Hilbert spaces. Then, we prove some convergence theorems, extending and complementing the results in the existing literature. In particular, we deal with the class of α-co-coercive operators with application to general equilibrium problems
An Extensive Investigation into the Use of Machine Learning Tools and Deep Neural Networks for the Recognition of Skin Cancer: Challenges, Future Directions, and a Comprehensive Review
No full textSkin cancer poses a serious risk to one’s health and can only be effectively treated with early detection. Early identification is critical since skin cancer has a higher fatality rate, and it expands gradually to different areas of the body. The rapid growth of automated diagnosis frameworks has led to the combination of diverse machine learning, deep learning, and computer vision algorithms for detecting clinical samples and atypical skin lesion specimens. Automated methods for recognizing skin cancer that use deep learning techniques are discussed in this article: convolutional neural networks, and, in general, artificial neural networks. The recognition of symmetries is a key point in dealing with the skin cancer image datasets; hence, in developing the appropriate architecture of neural networks, as it can improve the performance and release capacities of the network. The current study emphasizes the need for an automated method to identify skin lesions to reduce the amount of time and effort required for the diagnostic process, as well as the novel aspect of using algorithms based on deep learning for skin lesion detection. The analysis concludes with underlying research directions for the future, which will assist in better addressing the difficulties encountered in human skin cancer recognition. By highlighting the drawbacks and advantages of prior techniques, the authors hope to establish a standard for future analysis in the domain of human skin lesion diagnostics
BourbOulipo. Relazioni tra Oulipo e Bourbaki
No full textIl tema dell’influenza delle idee e delle metodologie bourbakiste su discipline che trascendono l’ambito matematico è stato frequentemente affrontato e, in particolare, la riflessione sul rapporto tra Bourbaki e Oulipo ha animato un appassionato dibattito in seno alla critica letteraria.
Lo scopo di questo contributo è quello di investigare le relazioni tra Le Lionnais, Queneau e Roubaud - e più in generale l’Oulipo - e Bourbaki. Attraverso un esame comparativo tra i due gruppi si è evidenziata l’esistenza di un innegabile carisma del “matematico policefalo” sul movimento artistico-letterario.The theme of the influence of Bourbaki's ideas and methodologies on disciplines that transcend the mathematical field has been frequently addressed and, in particular, the reflection on the relationship between Bourbaki and Oulipo has animated a passionate debate within literary criticism. The purpose of this contribution is to investigate the relations between Le Lionnais, Queneau and Roubaud - and more generally Oulipo - and Bourbaki. Through a comparative examination between the two groups, the existence of an undeniable charisma of the "polycephalic mathematician" on the artistic-literary movement was highlighted
Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953)
No full textIn this paper we revisit the pioneering work on the numerical analysis of partial differential equations (PDEs) by two Italian mathematicians, Mauro Picone (1885–1977) and Sandro Faedo (1913–2001). We argue that while the development of constructive methods for the solution of PDEs was central to Picone’s vision of applied mathematics, his own work in this area had relatively little direct influence on the emerging field of modern numerical analysis. We contrast this with Picone’s influence through his students and collaborators, in particular on the work of Faedo which, while not the result of immediate applied concerns, turned out to be of lasting importance for the numerical analysis of time-dependent PDEs
Archivio fotografico toscano
No full text L'Archivio fotografico toscano si è costituito alla fine degli anni Settanta per iniziativa del Comune di Prato. Gli scopi che l'Archivio si propone sono: costituire una propria raccolta permanente attraverso acquisti, donazioni e depositi con particolare riferimento alla Toscana come momento di valorizzazione e tutela del patrimonio fotografico; promuovere gli studi e le ricerche relative al patrimonio di immagini realizzate con il mezzo fotografico; favorire, coordinare e realizzare inizi..
François Le Lionnais and the Oulipo. The Unexpected Role of Mathematics in Literature
No full text“The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry” (Bertrand Russel, Mysticism and Logic, 1910). This sentence, quoted by François Le Lionnais in his work La Beauté en Mathématiques in [1], reflects his conception of a deep bond between mathematics and literature. He had a multifaceted education and was an erudite and founder of the Oulipo with Raymond Queneau. Even though he was neither a “professional” mathematician nor a “professional” man of letters but only an épicurien passionné as he defined himself [2],1 while alive, he channelled his interests in the theorisation of the so-called littérature potentielle (potential literature) “pour exciter les curieux d’insolite et faire réfléchir les passionnés de littérature aussi bien que le fanatiques de mathématiques” [3]. The purpose of this chapter is outline the figure of François Le Lionnais (who we will refer to from here on as FLL as he himself liked to do [4]) through the analysis of his most meaningfulworks,2 which, in the current literature, appear as subordinated to the works of the more famous and researched Queneau
“Trieste AD ARTE: gestire la mediazione economica e sociale”
No full text‘AD ARTE. La casa si autorecupera a Trieste’ è un processo promosso dall’attore pubblico per generare innovazione nella manutenzione del patrimonio ERP. Forte è stato l’impegno da parte delle istituzioni nel creare le condizioni legislative necessarie a sostenerne l’avvio e nella selezione dell’immobile. Ancora più significativo è stato però il processo di co-progettazione, che il gestore sociale ha svolto in tutte le fasi di un percorso oggi arrivato alle soglie della bancabilità, ma che ancora si scontra con difficili passaggi procedurali. È proprio ripercorrendo gli ostacoli incontrati, che AD ARTE offre spunti di riflessione sui limiti a una sua replicabilità: dalla disponibilità a superare le inerzie delle routine pubbliche; al mantenimento di una coerenza tra intenti sociali e vincoli finanziari; sino alla consapevolezza di rivolgersi alle fasce reddituali più alte dell’edilizia sovvenzionata
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