The Influence of the Family in the Development of Talent in Sport

The purpose of the present study was to describe patterns in the dynamics of families of talented athletes throughout their development in sport. Four families, including three families of elite rowers and one family of an elite tennis player were examined. The framework provided by Ericsson, Krampe, and Tesch- Römer (1993) to explain expert performance served as the theoretical basis for the study. Ericsson et al. suggested that the acquisition of expert performance involves operating within three types of constraints: motivational, effort, and resource. In-depth interviews were conducted with each athlete, parent, and sibling to explore how they have dealt with these three constraints. A total of 15 individual interviews were conducted. Results permitted the identification of three phases of participation from early childhood to late adolescence: the sampling years, the specializing years, and the investment years. The dynamics of the family in each of these phases of development is discussed

Degeneracy of velocity constraints in rigid body systems

The equations governing the dynamics of rigid body systems with velocity constraints are singular at degenerate configurations in the constraint distribution. In this report, we describe the causes of singularities in the constraint distribution of interconnected rigid body systems with smooth configuration manifolds. A convention of defining primary velocity constraints in terms of orthogonal complements of one-dimensional subspaces is introduced. Using this convention, linear maps are defined and used to describe the space of allowable velocities of a rigid body. Through the definition of these maps, we present a condition for non-degeneracy of velocity constraints in terms of the one dimensional subspaces defining the primary velocity constraints. A method for defining the constraint subspace and distribution in terms of linear maps is presented. Using these maps, the constraint distribution is shown to be singular at configuration where there is an increase in its dimension.