In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost ...In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of typeβ and order α, almost starlikeness of order α, spirallikeness of type ofβ and starlikeness.展开更多
In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost...In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and other α, almost staxlikeness of order α, spirallikeness of type β and starlikeness.展开更多
Soccer is a complex system.Therefore,appropriate(nontrivial) models have to be applied to be able to analyze the behavior of the teams on the pitch.This study analyzed the World Cup Final 2006 between France and Italy...Soccer is a complex system.Therefore,appropriate(nontrivial) models have to be applied to be able to analyze the behavior of the teams on the pitch.This study analyzed the World Cup Final 2006 between France and Italy by means of relative phase.Mean longitudinal and lateral positions of all 20 outfield players were used to calculate relative phase by Hilbert transformation.Whole team-,group-,and attacker-fullbacks couplings showed that soccer is clearly an in-phase game.Perturbations of the relative phase structure helped to identify scoring opportunities of the attacking team.Moreover,analyses of the relative phase structure can help to understand the complexity of soccer.展开更多
基金Foundation item： Supported by the National Natural Science Foundation of China（10626015 10571044） Supported by the Fundamental Research of National Natural Science Foundation of Henan University（04ZDZR004）
文摘In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of typeβ and order α, almost starlikeness of order α, spirallikeness of type ofβ and starlikeness.
基金Supported by the National Natural Science Foundation of China(1062601510571044)
文摘In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and other α, almost staxlikeness of order α, spirallikeness of type β and starlikeness.
文摘Soccer is a complex system.Therefore,appropriate(nontrivial) models have to be applied to be able to analyze the behavior of the teams on the pitch.This study analyzed the World Cup Final 2006 between France and Italy by means of relative phase.Mean longitudinal and lateral positions of all 20 outfield players were used to calculate relative phase by Hilbert transformation.Whole team-,group-,and attacker-fullbacks couplings showed that soccer is clearly an in-phase game.Perturbations of the relative phase structure helped to identify scoring opportunities of the attacking team.Moreover,analyses of the relative phase structure can help to understand the complexity of soccer.
