Dynamical Stability and Predictability of Football Players: The Study of One Match

The game of football demands new computational approaches to measure individual and collective performance. Understanding the phenomena involved in the game may foster the identification of strengths and weaknesses, not only of each player, but also of the whole team. The development of assertive quantitative methodologies constitutes a key element in sports training. In football, the predictability and stability inherent in the motion of a given player may be seen as one of the most important concepts to fully characterise the variability of the whole team. This paper characterises the predictability and stability levels of players during an official football match. A Fractional Calculus (FC) approach to define a player’s trajectory. By applying FC, one can benefit from newly considered modeling perspectives, such as the fractional coefficient, to estimate a player’s predictability and stability. This paper also formulates the concept of attraction domain, related to the tactical region of each player, inspired by stability theory principles. To compare the variability inherent in the player’s process variables (e.g., distance covered) and to assess his predictability and stability, entropy measures are considered. Experimental results suggest that the most predictable player is the goalkeeper while, conversely, the most unpredictable players are the midfielders. We also conclude that, despite his predictability, the goalkeeper is the most unstable player, while lateral defenders are the most stable during the match

Video analysis of left and right breaking putts

The aim of this study was to investigate how a player responds to external constraints (slope and angle) in a golf putting task. The sample consisted of 10 adult male (33.8 ± 11.89 years), right handed and highly skilled golfers (average handicap of 10.82). The participants performed 30 putts at a distance of two meters with 25 degrees to the left of the hole (Angle 1) and 30 putts at a distance of two meters with 25 degrees to the right of the hole (Angle 2), with a constraint imposed by a slope. The data suggests that the performance of the golf putting may be improved if different situations and difficulty degrees are employed and exploited. In that sense, the manipulation of task related constraints forced the appearance of solutions uniquely adjusted to each player. This brings implications to the area of sports coaching and training, considering that the athlete can optimize his performance if he explores different couplings of information-movement, in different levels of complexity.info:eu-repo/semantics/publishedVersio

Qualified Conservation Restrictions: Recollections of and Reflections on the Origins of Section 170(h)

It has been over thirty years since Congress added to the Internal Revenue Code section 170(h), which allows a deduction for contributions to charity of “qualified conservation restrictions,” commonly known as “conservation easements”. That provision was adopted over the objections of the Treasury, who had expressed reservations of both a conceptual and practical nature about the legislation, which the Treasury viewed as more than ordinarily vulnerable to abuse. I was invited to participate in this symposium, not because I have any expertise in working with these restrictions—I don’t—but to provide some perspective on what might have motivated the Treasury thirty-plus years ago to take the position that it did, on what is very popular legislation among the conservation and historic preservation communities. I think of myself as no better than the second most qualified individual to fill that role. The most qualified, in my opinion, is Professor Daniel Halperin, who served as the Deputy Assistant Secretary for Tax Policy when the legislation was under deliberation, testified twice on versions of the proposed legislation, and has recently written in this area.3 But I was there at the time; I did work with Professor Halperin on his testimony and the legislation; and so I am able to offer a (sometimes more and sometimes less vaguely recalled) first-hand account of what was happening then. In some respects I find it advantageous not to have worked in this area in the intervening years. The invitation to participate in this symposium offered me an opportunity to reflect on whether I think the positions the Treasury took then rested on well-founded concerns, and to speculate on whether, if I had known then what I have learned since, I would have recommended that the Treasury approach the matter in exactly the fashion that it did

Dynamical Systems

Complex systems are pervasive in many areas of science integrated in our daily lives. Examples include financial markets, highway transportation networks, telecommunication networks, world and country economies, social networks, immunological systems, living organisms, computational systems and electrical and mechanical structures. Complex systems are often composed of a large number of interconnected and interacting entities, exhibiting much richer global scale dynamics than the properties and behavior of individual entities. Complex systems are studied in many areas of natural sciences, social sciences, engineering and mathematical sciences. This special issue therefore intends to contribute towards the dissemination of the multifaceted concepts in accepted use by the scientific community. We hope readers enjoy this pertinent selection of papers which represents relevant examples of the state of the art in present day research. [...

Clemson Catalog, 2010-2011, Volume 85

https://tigerprints.clemson.edu/clemson_catalog/1160/thumbnail.jp

1998-2000 Undergraduate Catalog

1998-2000 undergraduate catalog of Morehead State University

General Undergraduate Catalog, 1964-1965

Marshall College General Undergraduate Catalog for the 1964-1965 academic year.https://mds.marshall.edu/catalog_1960-1969/1002/thumbnail.jp