The polynomial invariants of a certain classical linear group of order 336 arise naturally in studying error-correcting codes over GF(7). An incomplete description of these invariants was given by Maschke in 1893. With the aid of the Poincare series for this group, found by Edge in 1947, we complete Maschke's work by giving a unique representation for the invariants in terms of 12 basic invaria...

Heart Rate Variability (HRV) is the measure of time difference between two successive heart beats and its variation occurring due to internal and external stimulation causes. HRV is a non-invasive tool for indirect investigation of both cardiac and autonomic system function in both healthy and diseased condition. It has been speculated that HRV analysis by nonlinear method might bring potential...

A description of billiard-ball collisions using a ‘discontinuous’ model is presented considering a two-step situation corresponding to the ball–ball interaction followed by ball-supporting surface interaction. It is applied to the inelastic impact of a cue ball having arbitrary pivotment and ‘English’ spins against an object ball initially at rest. This formulation provides a simplified approxi...

Detecting and localizing hard lumps in soft tissues is an important medical procedure. A psychophysics experiment measured minimum indentation forces required to detect a hard ball embedded in a soft rubber model. Ball size and finger indentation speed were varied. Threshold detection forces increased with ball size and decreased with indentation speed. The shape of the finger and contact press...

We walk out the landscape of K-theoretic Poincare Duality for finite algebras, which will pave the way to get continuum Dirac operators from discrete noncommutative manifolds.

In soccer games, understanding the movement of players and a ball is essential for the analysis of matches or tactics. In this paper, we present a system to track players and a ball and to estimate their positions from video images. Our system tracks players by extracting shirt and pants regions and can cope with the posture change and occlusion by considering their colors, positions, and veloc...

In this paper, we propose a method for locating 3D position of a soccer ball from monocular image sequence of soccer games. Toward this goal, we adopted ground-model-to-image transformation together with physics-based approach that a ball follows the parabolic trajectory in the air. By using the transformation the heights of a ball can be easily calculated using simple triangular geometric rela...