The purpose of the study was to investigate how novice runners adjust their lower extremities in heel-toe running while they wear dress shoes and running shoes. Ten novice male runners repeatedly ran across a force plate at 4 m/s in each type of shoes. Joint kinematics and kinetics, vertical ground reaction force, and utilized coefficient of friction during the stance phase were quantified. The...

A generalization of the the flat extension theorems of Curto and Fialkow and Laurent and Mourrain is obtained by seeing the problem as one of ideal projection. Some other results on ideal projection are generalized, and it is seen that a linear functional on the k-variate polynomials over C is finitely atomic if and only if its moment matrix has finite rank, a fact previously known for positive...

A classification is obtained of Borel measurable, GL(n) covariant, symmetric matrix valued valuations on the space of n-dimensional convex polytopes. The only ones turn out to be the moment matrix corresponding to the classical Legendre ellipsoid and the matrix corresponding to the ellipsoid recently discovered by Lutwak, Yang, and Zhang. A classical concept from mechanics is the Legendre ellip...

Introduction Analysis of Doppler tracking data and radar images from the Cassini spacecraft have recently provided estimates of the low degree gravity field [1], and spin pole direction [2] of Titan. We examine implications of these measurements for the internal structure and rotational dynamics of that body. We derive separate estimates of the polar moment of inertia of Titan from the degree t...

We consider a sequence of orthogonal polynomials given by the classical three term recurrence relation. We address the problem of deciding the determinacy or indeterminacy of the associated Hamburger moment problem on the basis of the behavior of the coefficients in the three term recurrence relation. Comparisons are made with other criteria in the literature. The efficacy of the criteria obtai...

This paper applies a Reinforcement Learning methodology to the problem of airfoil morphing. The reinforcement learning as it is applied to morphing is integrated with a computational model of an airfoil. The computational model utilizes a doublet panel method whose end yield is airfoil lift, drag, and moment coefficients. An episodic unsupervised learning simulation using the Q-Learning method ...

We report on the status of the calculation of deep-inelastic structure functions at three loops in perturbative QCD. The method employed allows to calculate the Mellin moments of structure functions analytically as a general function of N . As an illustration, we present the leading fermionic contributions to the non-singlet anomalous dimension of F2 at three loops and, as a new result, to the ...

The main objective of this paper is to develop a simple technique for contrast enhancement of monochrome and color images using Discrete Dual Hahn (DDH) moments. The basic idea of our approach is to measure a local contrast at each band of a DDH moment matrix and use it to modify them. These modified moments are used to construct the enhanced image by taking the inverse DDH moment transform. Fo...

We provide new bounds on the average undershoot in an infinite horizon (s, S) inventory system with i.i.d demands with known moments up to order three. The two moment bound improves on Lorden’s bound (Ann. Math. Stat. 1970) for small values of S – s and low values of the coefficient of variation. The three moment bound provides further improvement for negatively skewed demands. The bounds are s...

To implement mean variance analysis one needs a technique for forecasting correlation coefficients. In this article we investigate the ability of several techniques to forecast correlation coefficients between securities. We find that separately forecasting the average level of pairwise correlations and individual pair-wise differences from the average improves forecasting accuracy. Furthermore...