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The Evolution of Cooperation in a Mobile Population on Random Networks: Network Topology Matters Only for Low-Degree Networks
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Analyzing the effect of a Holling type III functional response on predator-prey dynamics
No full textRyser\u27s Theorem for Simple Multi-Latin Rectangles
No full textWe prove a general result on completing objects similar to Latin rectangles in which the number of occurrences of each symbol is prescribed, each cell contains multiple symbols, and no cell contains repeated symbols. This generalizes several results in the literature, and leads to confirming a conjecture of Cavenagh, Hämäläinen, Lefevre, and Stones. An r × s λ-Latin rectangle L is an r × s array in which each cell contains a multiset of λ elements from the set {1, . . . , n} of symbols such that each symbol occurs at most λ times in each row and column. If r = s = n, then L is a λ-Latin square. A λ-Latin rectangle is simple if no symbol is repeated in any cell. Cavenagh et al. asked for conditions that ensure a simple λ-Latin rectangle can be extended to a simple λ-Latin square. We solve this problem in a more general setting by allowing the number of occurrences of each symbol to be prescribed. Cavenagh et al. conjectured that for each r, λ there exists some n(r, λ) such that for any n n(r, λ), every simple partial λ-Latin square of order r (each cell contains at most λ symbols) embeds in a simple λ-Latin square of order n. We confirm this conjecture
More Alike than Not: The Open Access Preferences of Humanities Scholars
Get PDFSeveral studies have noted that humanists have not been as quick or enthusiastic in their adoption of Open Access (OA) as their colleagues in other disciplines. This article leverages the Ithaka S+R US 2021 Faculty Survey to provide contextualized analysis of the OA and Open Education Resources (OER) preferences of humanities scholars, as well as some practices related to OA and OER, relative to their colleagues in other disciplines. Findings suggest that although humanists do stand apart in many OA preferences, the small effect sizes render these differences less important than previously suspected. The implications of these findings are considered alongside the lower rates of OA publication among humanists
Redbird Impact, vol. 8, no. 1 (spring 2025)
Get PDFhttps://ir.library.illinoisstate.edu/ri/1013/thumbnail.jp