Search results for "Pompeiu"

showing 7 items of 7 documents

A new approximation procedure for fractals

2003

AbstractThis paper is based upon Hutchinson's theory of generating fractals as fixed points of a finite set of contractions, when considering this finite set of contractions as a contractive set-valued map.We approximate the fractal using some preselected parameters and we obtain formulae describing the “distance” between the “exact fractal” and the “approximate fractal” in terms of the preselected parameters. Some examples and also computation programs are given, showing how our procedure works.

ContractionComputationNumerical analysisApplied MathematicsMathematical analysisAttractorHausdorff–Pompeiu distanceFixed pointFixed pointComputational MathematicsFractalNumerical approximationAttractorApproximation procedureFractalFinite setMathematicsJournal of Computational and Applied Mathematics
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Ripensare lo straniero. Lesbii e Parti nell'ottavo libro del Bellum civile di Lucano

2016

The eighth book of Lucan's bellum ciuile opens with the loss of Pompeius fleeing from the Thessalian battlefield. This departure, which sees the old fighter now prostrate and on which hangs a heavy fate of death, includes a double description of peoples and nations. The inhabitants of Lesbos, in which Cornelia had found shelter, offer a safe haven to Pompeius, urging him to remain. Moreover Pompeius seem to be inclined to the Parthians, the traditional enemy of Rome, but the option is destined to be defeated at the urging of Lentulus, which will convince the council of war to turn to Egypt. Within this opposing and contradictory motivations, where the reasons of the history emerge strongly …

Lesbianbook VIIILucanPartianPompeius deathSettore L-FIL-LET/04 - Lingua E Letteratura Latinabellum civile
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Dalla parte dei Decii. Lucano e la storia esemplare di Roma

2021

The paper deals with the references to the exemplary history of the Decii in Lucan’s Pharsalia. Particular attention is focused on the model of virtue and self-sacrifice towards the State they embody. However, while they ennoble the pars Pompeiana, they nevertheless show the fragility of Pompey’s fate, increasing the sense of an imminent catastrophe: the virtuous model of the Decii is in fact not replicable. The subversion produced by civil war makes it now out of date: tragedy, not history

Lucan Pharsalia Heroism Decii Pompeius Cato bellum civileSettore L-FIL-LET/04 - Lingua E Letteratura Latina
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Roma, faue coeptis. Pompeo e i Parti nell’ottavo libro della Pharsalia di Lucano

2015

The paper focuses on the section of eighth book of Pharsalia, in which Pompeius discusses with the members of the senate in order to decide the place to find refuge. Particularly, the choice that will bring Pompeius to death in Egypt is determined by the speech of Lentulus: in order to reject proposals for an alliance with the Parthians, he adopts the perspective of the ancient ethnocentrism and his prejudices. Nevertheless, in the architecture of the episode, it is determinant the rhetorical culture of the Author.

Lucan; Pompeius; Parthians; ethnocentrism; rhetorical cultureethnocentrismPompeiurhetorical cultureLucanParthianSettore L-FIL-LET/04 - Lingua E Letteratura Latina
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Quid meruere nepotes. Responsabilità e merito nella Pharsalia di Lucano

2017

Il contributo indaga l’epos lucaneo ricostruendo i contesti in cui compaiono nel poema meritum e derivati, immagini che coinvolgono tanto la nozione di merito quanto quella di responsabilità. Si tratta di un’oscillazione ben visibile ed operante all’interno dell’opera, dove tali accezioni tornano con frequenza a scandire tanto le azioni dei protagonisti quanto i severi giudizi del narratore. The paper deals with Lucan’s Pharsalia, reconstructing the contexts in which meritum and derivatives appear, images that both involve the notion of merit as that of responsibility. It is a highly visible and active presence within the poem, where such meanings frequently appear, characterizing both the …

Lucanus bellum ciuile meritum responsibility Caesar Pompeius CatoSettore L-FIL-LET/04 - Lingua E Letteratura Latina
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Measure differential inclusions: existence results and minimum problems

2020

AbstractWe focus on a very general problem in the theory of dynamic systems, namely that of studying measure differential inclusions with varying measures. The multifunction on the right hand side has compact non-necessarily convex values in a real Euclidean space and satisfies bounded variation hypotheses with respect to the Pompeiu excess (and not to the Hausdorff-Pompeiu distance, as usually in literature). This is possible due to the use of interesting selection principles for excess bounded variation set-valued mappings. Conditions for the minimization of a generic functional with respect to a family of measures generated by equiregulated left-continuous, nondecreasing functions and to…

Statistics and ProbabilityNumerical AnalysisEuclidean spaceApplied MathematicsRegular polygonMeasure (mathematics)Differential inclusionSettore MAT/05 - Analisi MatematicaBounded variationTrajectoryApplied mathematicsGeometry and TopologyMinificationFocus (optics)Measure differential inclusion Bounded variation Pompeiu excess Selection Minimality conditionAnalysisMathematics
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Note sulla definizione della possessio nel Festo Farnesiano (Napoli, BNN, IV. A. 3)

2019

The eleventh-century manuscript known as the Codex Farnesianus (now Naples, BNN, IV. A. 3) sole medieval witness of Sextus Pompeius Festus' work De verborum significatione, transmits Aelius Gallus' definition of the legal concept of possession (Fest. pp. 260-262 L.). The interpretation of this definition entirely depends on the reconstruction of the text. Two passages are problematical because of two blank spaces (fol. 11r int., lin. 3 and lin. 4), in connection with which the scribe characterizes the model of the manuscript as 'blind' (caecus). Lindsay's edition of Festus' work does not constitute a codicologically valid starting point of for a reliable reconstruction of the definition. Fu…

possessioSextus Pompeius FestuSettore IUS/18 - Diritto Romano E Diritti Dell'Antichita'De verborum significatione.Codex FarnesianuAelius Gallu
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