This category marks all the ICTP posts containing the pdf file of the paper/book.
Families of straight lines in rotating frames
Abstract In the light of the inverse problem of dynamics, we establish families of straight lines, possibly traced by a…
Families of straight lines in planar potentials
Abstract It is shown that all planar potentials V(x, y) that can give rise, among other conditions, to monoparametric families of straight…
Maximal complexity of finite words
Abstract The subword complexity of a finite \(\omega\) of length \(N\) is a function which associates to each \(n\leq N\)…
Univariate Shepard operators combined with least squares fitting polynomials
Abstract We obtain new univariate Shepard operators using polynomials that are constructed such that they fit the interpolation data in…
On the pointwise convergence of a family of functionals on C(I)
Abstract Given a continuous function \(u:[0,\infty)\rightarrow \mathbb{R}\), a family of functionals \(\varphi_{\U{3b1} }:C(I)\rightarrow \mathbb{R},\U{3b1} >0,\) is defined by \(\varphi_{\U{3b1} }(f)=\frac{1}{\U{3b1}…
The photogravitational model of Constantin Popovici in a Manev-type field
Abstract The photogravitational model of Constantin Popovici combines the Newtonian attraction force with a radiative repelling one. We consider a…
Two and three-dimensional inverse problem of dynamics
Abstract For a given a monoparametric family of curves \(f(x,y)=c\), we present the partial differential equations satisfied by the potentials…
Properties of the complexity function for finite words
Abstract The subword complexity function \(p_{w}\) of a finite word \(w\) over a finite alphabet A with card \(A=q\geq1\) is…
An estimation of a generalized divided difference in uniformly convex spaces
Abstract The rest in some approximation formulae can be expressed in terms of a generalized divided di§erence on three knots.…
Strong forces in Celestial Mechanics
Abstract Strong forces in celestial mechanics have the property that the particle moving under their action can describe periodic orbits,…