(1.2) \D[zu ..., zn ; B(x, r)]\ > c2(K, e). n < Note that the exponent {\ — (1/2K) e) of n is essentially the best possible: (2 — (1/2K) e) cannot be replaced by the exponent (2 — (1/2K) + e) with e > 0. Note further that (1.1) or (1.2) above guarantees the existence of a ball in U with 'error' very large as compared to that of boxes in U with sides parallel to the axes. We recall that in 1954 ...

In this paper, we introduce a wireless musical interface driven by grasping forces and human motion. The sounds generated by the traditional digital musical instruments are dependent on the physical shape of the musical instruments. The freedom of the musical performance is restricted by its structure. Therefore, the sounds cannot be generated with the body expression like the dance. We develop...

This study explores the effects of haptic feedback on performance and learning by human subjects executing a dynamic task. We present the results of experiments involving the control of a ball and beam. Human subjects perform position targeting of the ball through hand operation of the beam angle. In our dynamic analysis we discuss how this prototype task may be used to test the efficacy of var...

In this article we consider the problem of the optimal distribution of two conducting materials with given volume inside a fixed domain, in order to minimize the first eigenvalue (the ground state) of a Dirichlet operator. It is known, when the domain is a ball, that the solution is radial, and it was conjectured that the optimal distribution of the materials consists in putting the material wi...

We propose a method of controlling the paddle so as to return the ball to a desired point on the table with a specified flight duration. The proposed method consists of the following three input-output maps implemented by means of Locally Weighted Regression (LWR): (1) A map for predicting the impact time of the ball hit by the paddle and the ball position and velocity at that moment according ...

To recognize and retrieve soccer game scenes, the movement of the players and the ball must be analyzed. This paper describes a method of tracking the players and the ball and estimating their 3D positions from video images recorded from TV broadcasting. Our system detects the players and tracks them by predicting their motions. Our system determines the ball from among ball candidates by consi...

Background & aim: Recently, the use of birth ball in childbirth has been widely considered. This review study aimed to critically evaluate the evidence regarding the effect of using the birth ball on the mode of delivery and length of labor. Methods: For the purpose of the study, the articles related to the subj...

This paper demonstrates innovative techniques for estimating the trajectory of a soccer ball, using fixed cameras with constant calibration parameters. In contrast with broadcast coverage, for fixed camera data, the ball is often rendered with poor resolution away from the image centre. The rapidly moving ball is subject to motion-blur, caused by finite shutter speeds and interlaced fields, res...

Heading the ball is a fundamental skill in soccer. But, recent studies have shown that players who headed the ball frequently were more vulnerable to concussion. To record head impacts and flag potential concussions, intra-oral and head-mounted devices such as Vector MouthGuard and Biosystems xPatch have been developed. However, they are yet to gain wider acceptance, perhaps because they are in...

The goal of this study was to analyze whether 9-11 years old children can attain more free-throw accuracy and success by modifying the ball weight in basketball game. The participants were 54 children (age: mean=10.63, SD=0.55 years) from six basketball teams. The participants played four games with each of the following balls: (a) standard ball weight (485 g, 69-71 cm), (b) a lighter ball (440...