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The Simpsons and their mathematical secrets

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The Simpsons is famously a cartoon full of surprises and forecasts that are unbelievable. Among these, one of the most fascinating and unexpected is pitted by Simon Singh in his 2013 book "The Simpsons and Their Mathematical Secrets". In the 1998 episode, "The Wizard of Evergreen Terrace," Homer presents a mathematical equation predicting the mass of the Higgs boson a full 14 years before CERN physicists discovered it. In the episode Homer suddenly becomes an inventor, creating devices such as an electric hammer and a make-up gun. In the process, he unleashes his hidden mathematical prowess by predicting that the mass of the Higgs boson will be 777 gigaelectron volts (GeV). This value is actually "not that far from" the estimate of 125 GeV, the result of the actual experimental discovery of the Higgs boson at CERN in 2012. Homer made this prediction more than a decade before the actual discovery, how

Pubblicazione avviso di istanza per avvio procedimento PAUR da parte di Matteo D'Antuono

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  AVVISO PUBBLICO art. 27 bis D.Lgs. 152/2006 e ss. mm. ii. Committente I l sig. Matteo D'Antuono, nato a Cagnano Varano il 20/11/1963, C.F. DNTMTT63S20B357M, p. IVA n.   0177196, residente a Cagnano Varano, 71010, (FG) in via Risorgimento 4 , titolare della Az. Agr. Matteo D’Antuono COMUNICA Di aver presentato istanza presso la Regione Puglia per l’avvio del procedimento PAUR ai sensi dell’art. 27bis del D.Lgs 152/2006 del progetto del PSR 2014-2020 per la “REALIZZAZIONE DI FORESTAZIONE/IMBOSCHIMENTO CON BOSCHI MISTI A CICLO ILLIMITATO NEL COMUNE DI CAGNANO VARANO (FG) IN LOCALITÀ CORTE IANNONE”. Il progetto rientra nella “Misura 8, Investimenti nello sviluppo delle aree forestali e nel miglioramento della redditività delle foreste - Sottomisura 8.1, Sostegno alla forestazione/all'imboschimento, Azione 1, Boschi misti a ciclo illimitato”. Località Il progetto è localizzato in Puglia nel Comune di Cagnano Varano, in Località Corte Iannone, Foglio di Mappa 63, Part

Chapter 2

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2 "Crack like to blunt" notch S/N curve model Introduction In this Chapter the infinite life design philosophy of notched specimens is analyzed, then the same concepts are specialized to finite life design concepts in the context of the “Theory of the Critical Distances” to analyze the transition from “crack-like to blunt” notch. It is shown that a notched specimen behaves very similarly to a crack up to a certain number of fatigue cycles, then its fatigue behavior can be approximated with a plain specimen reduced by the effective stress concentration factor. Accordingly, some fast assessment methods have been suggested: (i) a crack like notch could be replaced by a crack for which there is a wide amount of solutions in Literature and (ii) a blunt notch could be treated through infinite life design concepts only. To verify the analytical method, the SAE Keyhole test program constant amplitude fatigue test data have been used and predictions

Chapter 1

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1 Overview Introduction This Chapter provides an overview of the notions used in this Thesis, starting with the derivation of stress vs. number of cycles (S/N) curve models for short cracks, since the work of these years is relying on the stress-life approach. Then, an overview of crack propagation models is given, in fact power law type crack propagation equations are integrated to recharacterize the concept of S/N curve for long cracks. Subsequently, the effect of notches in the stress-life formulation is treated mostly by means of the theory of the critical distances. Besides providing a variety of fatigue S/N curve models, a brief overview of damage accumulation rules for fatigue prediction deriving from variable amplitude loading is given. The Chapter concludes with a brief overview of the regulatory aspects of fatigue tolerance evaluation for rotorcrafts. 1.1 The SN curve The advent