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Sport-related concussion (SRC) and physical pain are both associated with poor mental health, impaired cognition, and reduced quality of life. Despite SRC and physical pain often co-occurring, there is little research that investigates these
Sport-related concussion (SRC) and physical pain are both associated with poor mental health, impaired cognition, and reduced quality of life. Despite SRC and physical pain often co-occurring, there is little research that investigates these
Externí odkaz:
http://hdl.handle.net/10454/19428
Autor:
Simpson, Thomas, Tyler, Richard, Simpson, Victoria, Ellison, Paul, Carnegie, Evelyn, Marchant, David
Publikováno v:
In Human Movement Science December 2024 98
Autor:
Marchant, David
We study several aspects of the M\"{o}bius function, $\mu[\sigma,\pi]$, on the poset of permutations under the pattern containment order. First, we consider cases where the lower bound of the poset is indecomposable. We show that $\mu[\sigma,\pi]$ ca
Externí odkaz:
http://arxiv.org/abs/2012.13795
Akademický článek
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Autor:
Marchant, David
We show that the growth of the principal M\"obius function on the permutation poset is exponential. This improves on previous work, which has shown that the growth is at least polynomial. We define a method of constructing a permutation from a smalle
Externí odkaz:
http://arxiv.org/abs/1812.05064
Publikováno v:
Mathematika 65 (2019) 1074-1092
We show that if a permutation $\pi$ contains two intervals of length 2, where one interval is an ascent and the other a descent, then the M\"{o}bius function $\mu[\pi]$ of the interval $[1,\pi]$ is zero. As a consequence, we show that the proportion
Externí odkaz:
http://arxiv.org/abs/1810.05449
Autor:
Brignall, Robert, Marchant, David
We show that the proportion of permutations of length $n$ with principal M\"{o}bius function equal to zero, $Z(n)$, is asymptotically bounded below by 0.3995. If a permutation $\pi$ contains two intervals of length 2, where one interval is an ascent
Externí odkaz:
http://arxiv.org/abs/1806.10362
Autor:
Asadi, Ayoub, Saeedpour-Parizi, Mohammad R., Aiken, Christopher A., Jahanbani, Zahra, Houminiyan Sharif Abadi, Davoud, Simpson, Thomas, Marchant, David
Publikováno v:
In Human Movement Science December 2022 86
Autor:
Marchant, David
Induced polarization (IP) surveys are commonly conducted to map the distribution of electrical chargeability, a diagnostic physical property in mineral exploration and in many environmental problems. Although these surveys have been successful in the
Externí odkaz:
http://hdl.handle.net/2429/52685
Autor:
Brignall, Robert, Marchant, David
We show that the M\"obius function of an interval in a permutation poset where the lower bound is sum (resp. skew) indecomposable depends solely on the sum (resp. skew) indecomposable permutations contained in the upper bound, and that this can simpl
Externí odkaz:
http://arxiv.org/abs/1710.03122