3 papers
math.GN2026
Universal Chord Theorem and a Topological Analysis
Ion Ciudin, Eugen J. Ionascu
We study the set of chords of a real-valued continuous function on [0,1] with f(0)=f(1)=0. We describe which chords may appear as isolated points and provide examples illustrating…
math.MG2025
Drainage Time and Shape: Inequalities from Torricelli's Law
Eugen J. Ionascu
We derive integral inequalities governing drainage time in convex solids, inspired by Torricelli's Law, and introduce the Torricelli number as a shape invariant. We use these consi…
math.NT2024
On the average value of the minimal Hamming multiple
Eugen J. Ionascu, Florian Luca, Thomas Merino
We find a nontrivial upper bound on the average value of the function M(n) which associates to every positive integer n the minimal Hamming weight of a multiple of n. Some new resu…