A simulation study comparing powers of the multivariate analysis (PROC GLM) with using a mixed model MIXED) variety covariance structures for various treatment, time, and interaction affect sizes in repeated measures design is conducted. Type 1 errors are estimated. Powers estimated when actual structure AR (1). It was found that treatment effect were all very similar PROC MIXED correct having ...

The relation between positivity of principal minors, sign symmetry and stability of matrices is studied. It is shown that for sign symmetric matrices, having positive principal minors is equivalent to stability, to D-stability, and to having a positive scaling into a stable matrix. The relation between spectra of matrices some of whose powers have positive principal minors and matrices whose co...

The UT Austin Villa 2003 simulated online soccer coach was a first time entry in the RoboCup Coach Competition. In developing the coach, the main research focus was placed on treating advice-giving as a learning problem. The coach learns to predict agent behavior from past observations and automatically generates advice to improve its team’s performance. Using this approach, the UT Austin Villa...

Abstract We give an upper bound for the minimum s with property that every sufficiently large integer can be represented as sum of positive k th powers integers, each which is three cubes cases $2\leq k\leq 4.$

This paper involved a biomechanical analysis of lower limb joint coordination during hula hooping. A lower extremity inverse dynamics model that incorporated kinematic input and force platform data was developed to compute the angular velocities, moments about and powers produced at the lower extremity joints. The abductor moments and powers were discovered to be paramount in maintaining hoop o...

PURPOSE To compare the relative advantages and disadvantages of four different representations of corneal power--identified as instantaneous, axial, position, and refractive--based on curvature, slope, coordinate position, and focal properties, respectively. METHOD The four types of corneal power were evaluated by examining their interrelationship for 12 hypothetical corneal shapes chosen to ...