Reduced Rate of Hospital Admissions for ACS during Covid-19 Outbreak in Northern Italy

To address the coronavirus (Covid-19) pandemic,1 strict social containment measures have been adopted worldwide, and health care systems have been reorganized to cope with the enormous increase in the numbers of acutely ill patients.2,3 During this same period, some changes in the pattern of hospital admissions for other conditions have been noted. The aim of the present analysis is to investigate the rate of hospital admissions for acute coronary syndrome (ACS) during the early days of the Covid-19 outbreak

Representation theory for simplicial complexes and matroidal-like properties of minimal partitioners.

A pairingon an arbitrary ground set Ωis a triple P ∶=(U, F, Λ), with U, Λtwo sets and F∶U×Ω →Λa map. Sev-eral properties of pairings arise after considering the Moore set system MPand the abstract simplicial complex NPon Ω, defined by taking the maximum and the minimal elements of the equivalence collections with respect to a specific equiva-lence relation ≈P, respectively called minimaland maximumpartitioners. In the present work we first detect various sufficient condi-tions allowing us to represent specific subfamilies of abstract simplicial complexes as the family of all the minimal parti-tioners of some pairing on the same ground set. Next, we classify two suitable subcollections of pairings by using gener-alized matroidal-like properties of NP. More in detail, we first determine a sufficient condition on Pensuring that the fam-ily NPis a closable finitary simplicial complexand call the resulting pairings attractive. On an arbitrary ground set Ω, at-tractiveness, together with a finiteness condition, implies that the minimal members of the equivalence collections of each X∈MPwith respect to ≈Pall have the same cardinality. Nevertheless, the converse does not hold, neither in the finite case. To this regard, we find some counterexamples inducing us to introduce the class of quasi-attractive pairings. We carried out a detailed analysis of quasi-attractive pairings: for instance we characterize them from a lattice-theoretic point of view and, on a finite ground set Ω, also in term of exchange properties of suitable set systems. Finally, by taking the adjacence matrix of a simple undirected graph Gas a model of pairing, we show that the Petersen graph induces an attractive pairing, while the Erdös’ friend-ship graphsinduce a quasi-attractive, but not attractive, one

Micro and macro models of granular computing induced by the indiscernibility relation.

In rough set theory (RST), and more generally in granular computing on information ta- bles (GRC-IT), a central tool is the Pawlak’s indiscernibility relation between objects of a universe set with respect to a fixed attribute subset. Let us observe that Pawlak’s rela- tion induces in a natural way an equivalence relation ≈ on the attribute power set that identifies two attribute subsets yielding the same indiscernibility partition. We call indis- tinguishability relation of a given information table I the equivalence relation ≈ , that can be considered as a kind of global indiscernibility. In this paper we investigate the math- ematical foundations of indistinguishability relation through the introduction of two new structures that are, respectively, a complete lattice and an abstract simplicial complex. We show that these structures can be studied at both a micro granular and a macro granular level and that are naturally related to the core and the reducts of I . We first discuss the role of these structures in GrC-IT by providing some interpretations, then we prove several mathematical results concerning the fundamental properties of such structures

Pairings and symmetry notions. A new unifying perspective in mathematics and computer science

Dottorato di Ricerca in Mathematics and Computer Science. Ciclo XXXUniversità della Calabria

Survey of bullous pemphigoid in an Italian University hospital: clinical-epidemiological characteristics and follow-up

The clinical-epidemiological characteristics and course of bullous pemphigoid in the general population is not clear. Few studies have been performed to date, and only one in the Italian population more than ten years ago. We decided to evaluate the characteristics and outcome of patients admitted for a bullous pemphigoid at our Hospital in the last 4 years

Early clinical and haemodynamic matched comparison of balloon-expandable valves

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