Hadamard partitioned difference families and their descendants

If $D$ is a $(4u^2,2u^2-u,u^2-u)$ Hadamard difference set (HDS) in $G$, then $\{G,G\setminus D\}$ is clearly a $(4u^2,[2u^2-u,2u^2+u],2u^2)$ partitioned difference family (PDF). Any $(v,K,\lambda)$-PDF will be said of Hadamard-type if $v=2\lambda$ as the one above. We present a doubling construction which, starting from any such PDF, leads to an infinite class of PDFs. As a special consequence, we get a PDF in a group of order $4u^2(2n+1)$ and three block-sizes $4u^2-2u$, $4u^2$ and $4u^2+2u$, whenever we have a $(4u^2,2u^2-u,u^2-u)$-HDS and the maximal prime power divisors of $2n+1$ are all greater than $4u^2+2u$

The Strategic Role of Marketing Communication in he SME: the Case of Fornari SpA

In this paper we discuss the strategic importance of communication and Intranet for theItalian Small and Medium Enterprise (SMEs). We analyse the case of Fornari SpA, an Italian medium size clothing and shoes manufacturer that uses internet as a communication tool. The aim of this study is to understand the potential of internet in a specific case and to understand whether internet is a strategic tool or only an operative tool. The firm currently uses two applications of internet: extranet and intranet. The analysis underlines the importance of marketing competences and training that are absolutely necessary to make the most effectiveand efficient use of the internet potential.SME, ICT, Internet Marketing.

Supersymmetry Breaking Warped Throats and the Weak Gravity Conjecture

We generalize the swampland criterion forbidding stable non-supersymmetric AdS vacua and propose a new swampland conjecture forbidding stable non-supersymmetric "locally AdS" warped throats. The conjecture is motivated by the properties of systems of fractional D3-branes at singularities, and can be used to rule out large classes of warped throats with supersymmetry breaking ingredients, and their possible application to de Sitter uplift. In particular, this allows to reinterpret the runaway instabilities of the gravity dual of fractional branes in the dP$_1$ theory, and to rule out warped throats with Dynamical Supersymmetry Breaking D-brane sectors at their bottom. We also discuss the instabilities of warped throats with supersymmetry broken by the introduction of anti-orientifold planes. These examples lead to novel decay mechanisms in explicit non-supersymmetric examples of locally AdS warped throats, and also of pure AdS backgrounds.Comment: v4, 28 pages, refs adde

On the full automorphism group of a Hamiltonian cycle system of odd order

It is shown that a necessary condition for an abstract group G to be the full automorphism group of a Hamiltonian cycle system is that G has odd order or it is either binary, or the affine linear group AGL(1; p) with p prime. We show that this condition is also sufficient except possibly for the class of non-solvable binary groups.Comment: 11 pages, 2 figure

Histories, Traditions and Contexts in the Jurisprudence of the European Court of Human Rights

L'articolo analizza la giurisprudenza della Corte europea di Strasburgo ai fini dell'identificazione di un determinato uso dell'argomento storico e contestuale, trattando nel dettaglio diversi filoni giurisprudenziali attraverso l'analisi di casi decisivi. Tra essi, la giurisprudenza sulle transizioni politiche nazionali e la giurisprudenza sul trattamento penale del negazionismo storico

Fondare l’equilibrio. Il veto sulle leggi nelle due Costituenti settecentesche

L'articolo discute i lavori della Convenzione di Filadelfia e dell'Assemblea costituente francese del 1789, con specifico riferimento alla elaborazione della normativa costituzionale in materia di potere presidenziale di veto sulle leggi, ed effettua una comparazione tra le diverse soluzioni normative prescelte