The relationship between the length of a word and the maximum length of its unbordered factors is investigated in this paper. A word is bordered, if it has a proper prefix that is also a suffix of that word. Consider a finite word w of length n. Let μ(w) denote the maximum length of its unbordered factors, and let ∂(w) denote the period of w. Clearly, μ(w) ≤ ∂(w). We establish that μ(w) = ∂(w),...

Letting the mass depend on the spin-field coupling as M 2 = m 2 − (eg/2c 2)F αβ S αβ , we propose a new set of relativistic planar equations of motion for spinning anyons. Our model can accommodate any gyromagnetic ratio g and provides us with a novel version of the Bargmann-Michel-Telegdi equations in 2 + 1 dimensions. The system becomes singular when the field takes a critical value, and, for...

Abstract Date Presented 04/22/2023 This descriptive study explored exercise habits among graduate OT students during the COVID-19 pandemic and civil unrest events in 2020. Primary Author Speaker: Razan Hamed Contributing Authors: Carla Duval, Arianna Adrian, Stephanie Almonte, Michael Carroll, Jhannel Gayle, Jordan Kalik, Yehuda Kashanian, Mehavi Patel, Julie Piskin, Danver Quintin

The notion of a directed strongly regular graph was introduced by A. Duval in 1988 as one of the possible generalizations of classical strongly regular graphs to the directed case. We investigate this generalization with the aid of coherent algebras in the sense of D.G. Higman. We show that the coherent algebra of a mixed directed strongly regular graph is a non-commutative algebra of rank at l...

Uniform spanning trees on finite graphs and their analogues on infinite graphs are a well-studied area. On a Cayley graph of a group, we show that they are related to the first l-Betti number of the group. Our main aim, however, is to present the basic elements of a higher-dimensional analogue on finite and infinite CW-complexes, which relate to the higher l-Betti numbers. One consequence is a ...