This category marks all the ICTP posts containing the pdf file of the paper/book.
Properties of palindromes in finite words
Abstract We present a method which displays all palindromes of a given length from De Bruijn words of a certain…
Two-dimensional arrays with maximal complexity
Abstract We present natural bounds for the complexity function of two-dimensional arrays, and we study the shape of the maximal…
On Lp norms and the spectral radius of operators in Hilbert spaces
Abstract We prove that \(lim_{p\rightarrow \infty}k\) \(\left \Vert f\right \Vert _{+p}^{+p}\diagup \left \Vert f\right \Vert _{p}^{p}=\left \Vert f\right \Vert _{\infty}\)…
Two-dimensional total palindrome complexity
Abstract We initiate a comparative study of the properties of total palindrome complexity for binary words and arrays. From this…
Programmed motion with homogeneity assumptions
Abstract We consider the problem : Given a planar region \(T_{orb}\) described by one inequality \(g(x,y)\leq c_{0}\), find the potentials…
Straight-line solutions in two-dimensional homogeneous potentials
Abstract Within the framework of the inverse problem of Dynamics, we consider the following question with reference to the motion…
Logarithmic mean and weighted sum of geometric and anti-harmonic means
Abstract We consider the problem of finding the optimal values\U{3b1}, \(\U{3b2} \in R\) for which the inequality \(\U{3b1} G(a,b)+(1-\U{3b1} )C(a,b)<L(a,b)<\U{3b2}…
Bilateral inequalities for harmonic, geometric and Hölder means
Abstract For \(0<a<b\), the harmonic, geometric and Holder means satisfy \newline\( H<G<Q\). They are special cases \((p=-1,0,2)\) of power means…
Corrected Newtonian potentials in the two-body problem with applications
Abstract The paper deals with an analytical study of various corrected Newtonian potentials. We offer a complete description of the…
Comment on “Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method” by Shile et al. (2024)
Abstract The goal of this article is to explain some striking discrepancies between the Monte Carlo inferences for flow in…