60,825 research outputs found
Concentration of the distance between points in the unit ball
We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ║x − y║ is more than √2(1 − ε). As a consequence, we obtain a result proved by Bourgain, using QS-decomposition, that guarantees an exponentially large number of points in the unit ball any two of which are separated by more than √2(1 − ε)
Dances and Balls: Cotton Ball - 3
Student Activities: Dances and Balls: Cotton BallCotton King and Queen, Cotton Ball 196
Recording of interview with Nathan Ball (Vol.1)
1 (out of 3) audio cassettes (1 hr., 23 mins.)Title based on contents of the item. ; Located in audio cassettes box 10. ; Reference copies of the audio cassettes are available (located with originals). ; The interview is transcribed. ; Digitized January 27, 2011. Item is restricted.For more information please contact Special Collections, the University of St. Michael's College.Item consists of three cassettes (SR2007 67 13 03 v1, SR2007 67 13 03 v2, SR2007 67 13 03 v3) of an interview with Nathan Ball conducted by Elisabeth Pozzi-Thanner on February 19 and 20, 2005.
Ball was a very close friend and colleague of Nouwen between the years of 1986 and 1996. He was the Director of L'Arche Daybreak while Nouwen was pastor. He was the Executive Director of L'Arche Canada foundation as well as board member for the Henri Nouwen Society. In 1996, upon Nouwen's death, Ball was named as an executor of Nouwen's estate and has sat as a member of the Legacy Trust since that time.
Ball reflects on how he met Nouwen as well as the deep spiritual friendship that evolved between them at L'Arche Trosly-Breuil. He recounts how this friendship broke down and offers some reasons why it did. Ball provides detailed descriptions of Nouwen as a priest, friend, and liturgical leader as well as of Nouwen's influence on the community at L'Arche Daybreak. Ball recounts the dynamics of their friendship, as well as the dynamic of the Daybreak community, including members such as Sue Mosteller, Joe Vostermans, Joe and Mary Egan and C M
A Study of Diagnostic Signatures of a Deep Groove Ball Bearing Based on a Nonlinear Dynamic Mode
For accurate fault detection and diagnosis, this paper focuses on the study of bearing vibration responses under increasing radial clearances due to investable wear and different bearing grades. A nonlinear dynamic model incorporating with local defects and clearance increments is developed for a deep groove ball bearing. The model treats the inner race-shaft and outer race-housing as two lumped masses which are coupled by a nonlinear spring formalized by the Hertzian contact deformation between the balls and races. The solution of the nonlinear equation is obtained by a Runge-Kutta method in Matlab. The results show that the vibrations at fault characteristic frequencies exhibit significant changes with increasing clearances. However, an increased vibration is found for the outer race fault whereas a decreased vibration is found for inner race fault. Therefore, it is necessary to take into account these changes in determining the size of faults
Generating ball trajectory in soccer video sequences
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, resulting in variable shape, size and colour. The velocity estimated from Kalman tracking is used in both normalising ball size and filtering the ball from false alarms. Furthermore, occlusion-reasoning and tracking-back methods are utilized to estimate its position when it is occluded, and also to remove false alarms. Finally, temporal hysteresis based thresholding of the ball likelihood is applied for trajectory filtering to improve the robustness and continuity of the tracked ball. Promising experimental results from several long sequences are reported
Tracking the soccer ball using multiple fixed cameras
This paper demonstrates innovative techniques for estimating the trajectory of a soccer ball from multiple fixed cameras. Since the ball is nearly always moving and frequently occluded, its size and shape appearance varies over time and between cameras. Knowledge about the soccer domain is utilized and expressed in terms of field, object and motion models to distinguish the ball from other movements in the tracking and matching processes. Using ground plane velocity, longevity, normalized size and color features, each of the tracks obtained from a Kalman filter is assigned with a likelihood measure that represents the ball. This measure is further refined by reasoning through occlusions and back-tracking in the track history. This can be demonstrated to improve the accuracy and continuity of the results. Finally, a simple 3D trajectory model is presented, and the estimated 3D ball positions are fed back to constrain the 2D processing for more efficient and robust detection and tracking. Experimental results with quantitative evaluations from several long sequences are reported
Fatou and Korányi-Vági type theorems on the minimal ball
In this paper we develop the Hp (p [greater than or equal] 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Korányi-Vági type on this ball
The 2010 regulations on golf groove design: impact on ball flight characteristics during a controlled shot.
The purpose of this study was to investigate the difference in the amount of spin that can be generated during a controlled golf shot, as a result of the 2010 rule change regarding restrictions applied to the design of the grooves on the clubface implemented by the United States Golf Association and the Royal & Ancient Golf Club. Ten experienced golfers (mean ± SD; age, 23.0 ± 0.67 yr; playing experience, 13.2 ± 1.6 yr; handicap, 1.6 ± 1.4) were required to play a total of 120 shots inside a state of the art golf simulator with 3 clubs consisting of ‘old’ pre 2010 U-groove design and ‘new’ post 2010 V-groove design. With the U and V grooved clubs, participants played 10 shots from a fairway mat and 10 shots from a rough mat using a 9 iron, PW and SW. Backspin (RPM) and, as a measure of accuracy, distance landed from the pin (yds) were recorded. Compared to the U-grooves, the newer V-groove design imparted significantly less backspin from both the fairway and rough surfaces (P < 0.05), additionally, shots with all clubs were consistently further away from the pin (P < 0.05). The newer groove design does not enable players to impart as much backspin on the ball as they previously could and our data suggest that the recent change in golf club design might therefore reward driving accuracy
The specific selection function effect on clinker grinding efficiency in a dry batch ball mill
Dry grinding experiments on cement clinker were carried out using a laboratory batch ball mill equipped with a torque measurement. The influence of the ball size distribution on the specific selection function can be approached by laboratory runs using mono-size balls. The breakage is more efficient with maximal specific selection functions at the initial size reduction stage. But, in terms of cement finish grinding all stages of grinding are determinant for the production of a required Blaine surface area (3500 cm2/g). So, the choice of ball size according to a maximal specific selection function leads to an increase of the energy consumption. In addition, investigations on the mono-sized fractions and on the crude material (size minus 2.8 mm) demonstrate that the energy efficiency factor can be optimized using ball size corresponding to relatively low specific selection function
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