Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Many identities from one
Get PDFWe specialise an ingeniously contrived identity to obtain a plethora of startling combinatorial identities. Limiting cases include well known evaluations of ζ(2), ζ(4) and ζ(6)
Estimating the resolvent of elliptic second-order partial differential operators
Get PDFSharp estimates for the resolvent of a linear elliptic second-order partial differential operator under Dirichlet homogeneous boundary conditions are derived via a symmetrization technique
Sulla misurabilità della famiglia dei sistemi formati da cono quadrico e retta in A_3
No full textThe family of systems of quadric cone and straith line, in A_3, proves to be measurable
On separable algebras in Grothendieck Galois theory
No full textWe give an explicit proof of the fundamental theorem of Grothendieck Galois theory: the category of separable algebras over a field K is anti-equivalent to the category of continuous actions on finite sets of the profinite fundamental group of K
Implementing fuzzy polynomial interpolation (FPI) and fuzzy linear regression (LFR)
Get PDFThis paper presents some preliminary results arising within a general framework concerning the development of software tools for fuzzy arithmetic. The program is in a preliminary stage. What has been already implemented consists of a set of routines for elementary operations, optimized functions evaluation, interpolation and regression. Some of these have been applied to real problems.This paper describes a prototype of a library in C++ for polynomial interpolation of fuzzifying functions, a set of routines in FORTRAN for fuzzy linear regression and a program with graphical user interface allowing the use of such routines
Asymptotic and oscillatory behaviour of certain difference equations
Get PDFAsymptotic and oscillatory behaviour of solutions of some class nonlinear difference equations is studied
Higher integrability for the gradient of solutions to some nonlinear elliptic system
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Un nuovo integrale per il problema delle primitive
Get PDFWe introduce a new type of integral, which solves the problem of finding antiderivatives but which does not contain the improper integral