163 research outputs found
R. Caccioppoli: Teoria delle funzioni di piu' variabili complesse. Appunti del corso di Teoria delle Funzioni tenuto dal Professor R. Caccioppoli nell'anno accademico 1947-48
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Il genio sovversivo di Renato Caccioppoli secondo Jean-Nöel Schifano
No full textThis paper introduces and analyzes characteristics, aspects and contents of the
biographical story that Jean-Noël Schifano has written about Renato Caccioppoli
(Naples, 1904-1959), a recognized academic and mathematical genius. Caccioppoli was
also a pianist, a lover of cinema and literature, an anarchist and a militant communist
who lived his passions in a feverish way. Forgotten and then brought back to the fore by
the film “Morte di un genio matematico” (directed by Mario Martone in 1992), there is a
risk he will be remembered by the great public above all for his charisma and
eccentricity. To avoid this risk, Schifano neither exalts nor privileges some aspects of
Caccioppoli, succeeding in realizing a fresh and whole “portrait”. Besides, the present
paper shows that, going over the characteristics of the biographical genre, the author
puts the narration of the events of Caccioppoli’s life in a sort of intimate journal: it
achieves the effect of a direct conversation between the author/narrator and the reader
and a greater effectiveness at the level of characterization.Il contributo che segue presenta e analizza caratteristiche, aspetti e contenuti del
racconto biografico edito da Gallimard che Jean-Noël Schifano dedica a Renato Caccioppoli (Napoli, 1904-
1959), accademico riconosciuto e genio matematico. Pianista, cultore di cinema e di
letteratura, anarchico e comunista militante, Caccioppoli ha vissuto in modo febbrile
ciascuna delle sue passioni. Dimenticato e poi riportato alla ribalta dal film “Morte di un
genio matematico” di Mario Martone (1992), rischia di essere ricordato dal grande
pubblico soprattutto per il carisma e l’eccentricità. In opposizione a questo rischio,
Schifano evita di esaltare o di privilegiare qualche aspetto di Caccioppoli, a discapito di
altri aspetti della sua personalità, riuscendo a realizzarne un “ritratto” vivo e completo.
Inoltre, il presente contributo mostra come, andando oltre le caratteristiche del genere
biografico, l’autore collochi la narrazione del “caso Caccioppoli” in un testo che fa
pensare al diario intimo: ne consegue l’effetto di una conversazione diretta Schifanolettore
e di una maggiore efficacia sul piano della caratterizzazione del personaggio e
delle vicende
Il genio sovversivo di Renato Caccioppoli secondo Jean-Noël Schifano
No full textThis paper introduces and analyzes characteristics, aspects and contents of the
biographical story that Jean-Noël Schifano has written about Renato Caccioppoli
(Naples, 1904-1959), a recognized academic and mathematical genius. Caccioppoli was
also a pianist, a lover of cinema and literature, an anarchist and a militant communist
who lived his passions in a feverish way. Forgotten and then brought back to the fore by
the film “Morte di un genio matematico” (directed by Mario Martone in 1992), there is a
risk he will be remembered by the great public above all for his charisma and eccentricity. To avoid this risk, Schifano neither exalts nor privileges some aspects of Caccioppoli, succeeding in realizing a fresh and whole “portrait”. Besides, the present paper shows that, going over the characteristics of the biographical genre, the author puts the narration of the events of Caccioppoli’s life in a sort of intimate journal: it achieves the effect of a direct conversation between the author/narrator and the reader and a greater effectiveness at the level of characterization
Parabolic Harnack inequality and Caccioppoli inequality for stable-like processes
No full textIn the first chapter of this dissertation, we introduce the parabolic Harnack inequality and the Caccioppoli inequality for stable-like processes. ^ In the second chapter, we let L be the operator defined by Lfx= Rd fx+h-fx -1fx˙h1 h≤1 ax,h hd+a dh and consider the space-time process Yt = (Xt, Vt), where Xt is the process that corresponds to the operator L , and Vt = V0 + t. Under the assumption that 0 \u3c k 1 ≤ a(x, h) ≤ k 2 and a(x, h) = a( x, –h), we prove a parabolic Harnack inequality for non-negative functions that are parabolic in a domain. We also prove some estimates on equicontinuity of resolvents. ^ In the third chapter, we let f : Zd→R and consider the following operators defined by Lfx= y≠xfy -fx Ax,y x-yd+a, 3f,g x=x∈Z dy≠ xfy -fx gy-gx Ax,y x-yd+a , and Gf,f x=y≠x fy-fx 2Ax,y x-yd+a . ^ Under the assumption that 0 \u3c k1 ≤ A(x, y) ≤ k2 and A(x, y) = A(y, x), we establish a Caccioppoli inequality for powers of non-negative functions that are harmonic with respect to L .
The function of vertical and horizontal space to social group identity
No full textWhere an object or person is located in space can communicate important attributes, such as power, agency, or status. We theorized that people may use location to convey messages about social groups. In four studies, we examined whether women and men express ingroup bias or stereotypical bias in their placement of and memory for gendered objects. In Study 1, participants placed objects symbolizing their ingroup higher but not further left than objects symbolizing their outgroup. Vertical ingroup-bias emerged consistently in spatial placement (Studies 2 and 4) but not spatial memory (Studies 3 and 4). We discuss the influence of gender identity, the role of automaticity, and the value of vertical versus horizontal spatial location in communicating group bias
Advancing estuarine box modeling: A novel hybrid machine learning and physics-based approach
No full textEstuaries play a crucial role in the maintenance of the ecological balance of coastal ecosystems. Salinity intrusion can disrupt these fragile ecosystems, impacting aquatic life and human activities in coastal regions. An accurate prediction of salinity intrusion is essential for managing water resources and preserving ecosystems. This paper introduces a novel hybrid tool, called Hybrid-EBM model, designed to predict the salt-wedge intrusion length and the salinity at river mouth of an estuary. Combining the state-of-the-art Estuary Box Model (EBM) with machine learning algorithms, the new Hybrid-EBM model provides an accurate forecast of the salinity intrusion events. Experimental results highlight the effectiveness of Hybrid-EBM in salinity prediction with an RMSE of 3.41 psu against the 4.22 obtained by EBM. The outputs of this paper represent a significant advancement in the understanding of the impacts of salinity intrusion along the estuarine ecosystems, contributing to the sustainability of the coastal regions worldwide
On the regularity of weak contact p-harmonic maps
No full textWe prove Caccioppoli type estimates and consequently establish local Hölder continuity for a class of weak contact (2n + 2)-harmonic maps from the Heisenberg group into the sphere
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