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Leading Digits of Mersenne Numbers

期刊: EXPERIMENTAL MATHEMATICS, 2021; 30 (3)

It has long been known that sequences such as the powers of 2 and the factorials satisfy Benford's Law; that is, leading digits in these sequences occ......

A Computer Approach to Determine the Densest Translative Tetrahedron Packings

期刊: EXPERIMENTAL MATHEMATICS, 0; ()

In 1900, as a part of his 18th problem, Hilbert proposed the question to determine the densest congruent (or translative) packings of a given solid, s......

Gorenstein Formats, Canonical and Calabi-Yau Threefolds

期刊: EXPERIMENTAL MATHEMATICS, 0; ()

Gorenstein formats present the equations of regular canonical, Calabi-Yau and Fano varieties embedded by subcanonical divisors. We present a new algor......

The Graph Curvature Calculator and the Curvatures of Cubic Graphs

期刊: EXPERIMENTAL MATHEMATICS, 0; ()

We classify all cubic graphs with either non-negative Ollivier-Ricci curvature or non-negative Bakry-emery curvature everywhere. We show in both curva......

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