21 citations · 53 across the 34 of their papers we have counts for
35 papers
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…
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…
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…
A special sequence and primorial numbers
Amit Kumar Basistha, Eugen J. Ionascu
In this paper, we study a class of functions defined recursively on the set of natural numbers in terms of the greatest common divisor algorithm of two numbers and requiring a mini…
A variation on bisecting the binomial coefficients
Eugen J. Ionascu
In this paper, we present an algorithm which allows us to search for all the bisections for the binomial coefficients and include a table with the r…
Random triangles in planar regions containing a fixed point
Eugen J. Ionascu
In this article we provide several exact formulae to calculate the probability that a random triangle chosen within a planar region (any Lebesgue measurable set of finite measure)…