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On some extension of 1-spread sets

On some extension of 1-spread sets
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Projective spread sets

Journal of Geometry, 1990
The authors generalize the notion of a spread set for a t-spread of \(PG(2t+1,q).\) They show that certain t-spreads of PG(n,q) correspond to these generalized spread sets. Next a projective spread set is defined as a set of \((s+1)\)-tuples of \((t+1)\times (t+1)\) matrices satisfying certain conditions, where \(n=(s+1)(t+1)-1.\) It is shown that any ...
Casse, L. R. A., O'Keefe, Christine M.
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Subregular spreads and blocking sets

Ricerche di Matematica, 2014
Let \(q>2\) be a prime power and let \(\mathrm{PG}(n,q)\) denote the \(n\)-dimensional projective space over the Galois field \(\mathrm{GF}(q)\) of order \(q\). A spread of \(\mathrm{PG}(3,q)\) is a partition into \(q^2+1\) pairwise disjoint lines; it is called regular if it contains the regulus generated by any three lines of the spreed.
BADER, LAURA, DE VITO, PAOLA
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Optimal Setting of Point Spreads

Economica, 2012
We develop a model of competitive gambling markets addressing two empirical puzzles. First, why do bookmakers not set unbiased lines that try to equalize betting on both sides, and thus profit from commissions with minimal risk? Second, why is there little evidence of bookmakers competing through lower commissions?
Jeremy Sandford, Paul Shea
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Indicator Sets, Reguli, and a New Class of Spreads

Canadian Journal of Mathematics, 1977
Let Σ be the projective 3-space over the field GF(q) where q = pe, p an odd prime. A spread W in ∑ is a set of q2 + 1 lines in ∑ which are such that each point of Σ lies on exactly one line of W. Thus the lines of W are all mutually skew. The notion of a spread extends to higher dimensions and also applies for arbitrary fields [1; 3; 6, p. 29; 7, p. 5].
Sherk, F. A., Pabst, Günther
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Subregular Spreads and Indicator Sets

Canadian Journal of Mathematics, 1975
In a previous paper [3] we introduced indicator sets in order to facilitate the study of partial spreads and spreads in ∑ = PG(3, q). The idea enabled us to disprove a conjecture in the literature by constructing a spread that contained no regulus. More recently there have been some notable advances in the theory of spreads.
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Cortical Spreading Depression in the Setting of Traumatic Brain Injury

World Neurosurgery, 2020
Cortical spreading depression (CSD) is a pathophysiologic phenomenon that describes an expanding wave of depolarization within the cortical gray matter. Originally described over 70 years ago, this spreading depression disrupts neuronal and glial ionic equilibrium, leading to increased energy demands that can cause a metabolic crisis.
Sauson Soldozy, Khadijeh A. Sharifi, Bhargav Desai, Daniel Giraldo, Michelle Yeghyayan, Lei Liu, Pedro Norat, Jennifer D. Sokolowski, Kaan Yağmurlu, Min S. Park, Petr Tvrdik, M. Yashar S. Kalani   +11 more
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Spreads, Translation Planes and Kerdock Sets. II

SIAM Journal on Algebraic Discrete Methods, 1982
In ''Part I'' [ibid. 3, 151-165 (1982; Zbl 0493.51008)] the author described the relationship between spreads, translation planes and Kerdock sets. Nondesarguesian examples were given, arising either from slices of desarguesian spreads or from certain spreads in \(\Omega^+(8,q)\) spaces.
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DAMAGE SPREADING ON A SET OF HIERARCHICAL TRIVALENT STRUCTURES

Modern Physics Letters B, 2006
The damage spreading of the Ising model on a set of trivalent structures is studied with competing Glauber and Kawasaki dynamics. We find that the damage transition temperature Td increases as the number of rectangles increases at the pure Glauber dynamics case and Td decreases sharply as the probability of occurrence of Kawasaki dynamics increases. A
Z. Z. GUO, CHUN-AN WANG, XIAO-WEI WU
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