H.S. Skovoroda Kharkiv National Pedagogical University

Short-read genome skimming enables molecular barcoding of old myxomycete collections

This study evaluates the effectiveness of Illumina-based genome skimming for barcoding myxomycete herbarium collections ranging from 29 to 91 years in age. We successfully retrieved partial sequences of the standard marker gene (nucSSU) in all cases, as well as additional markers...

Constant d: A Factorial-Based Infinite Product, Companion to D, with Geometric Interpretations in Stochastic, Combinatorial, and Algebraic Geometry

We study the convergent infinite product d = Product_{n>=0} (1 - 1/(2*n!+1)) ≈ 0.31991462763026131388..., the void/vacancy companion to the constant D = Sum_{n>=0} 1/(2*n!+1) ≈ 0.96895437... (OEIS A396384). We prove convergence with an explicit truncation bound, an exact power-su...