Coverage Algorithm for Covering Maximal Area within Deadline

Author(s):  
Jung Kyu Park ◽  
Jaeho Kim
Keyword(s):  
2019 ◽  
Vol 103 (557) ◽  
pp. 277-284
Author(s):  
Robert Kantrowitz ◽  
Michael M. Neumann

The launch and subsequent motion of a projectile provide a context for several quantities that yearn to be optimised. Most notable is the horizontal range of the projectile, a problem dating back to Galileo and still studied in modern times; see, for example [1], [2], [3], [4]. In a different direction, the articles [5] and [6] provide a solution to the problem of finding the angle of launch that results in the trajectory of longest arc length.


1993 ◽  
Vol 20 (11) ◽  
pp. 1369-1372 ◽  
Author(s):  
Witold Rzymowski ◽  
Adam Stachura
Keyword(s):  

2015 ◽  
Vol 13 (2) ◽  
pp. 607-623 ◽  
Author(s):  
Saminathan Ponnusamy ◽  
Swadesh Kumar Sahoo ◽  
Navneet Lal Sharma

Author(s):  
Jae-Byung Jung ◽  
M.A. El-Sharkawi ◽  
G.M. Anderson ◽  
R.T. Miyamoto ◽  
R.J. Marks ◽  
...  

2016 ◽  
Author(s):  
Ievgeniia Gutenko ◽  
Hao Peng ◽  
Xianfeng Gu ◽  
Mathew Barish ◽  
Arie Kaufman

1996 ◽  
Vol 21 (5) ◽  
pp. 604-608 ◽  
Author(s):  
H-Y. CHIU ◽  
F. C. SU

We have used the motion analysis system to evaluate the maximal area of fingertip motion. Some modification in setting the cameras and use of a smaller marker is required. In this series, 58 examinations have been accomplished on 28 fingers with various traumatic injuries. The closed curve derived from the motion analysis system and the area calculated from it were easier to interpret and could be compared in serial examinations. A high linear correlation between the fingertip motion area and total active motion was found. The computer-aided motion analysis system complements the traditional methods of assessing an injured finger.


2005 ◽  
Vol 98 (7) ◽  
pp. 491-497
Author(s):  
Arie Rokach

The goal of this article is to prove the following theorem by using only elementary geometric methods. The theorem is suitable for high school students and enables them to be actively involved in the proof process.


Author(s):  
Eman Ragab ◽  
Dena Serag

Abstract Background Osteoarthritis (OA) of the knee joint is a common cause of chronic disability in older adults. During the past 10 years, the infrapatellar fat pad (IPFP) has emerged as a new player in the pathogenesis of knee OA. Its exact role in the pathogenesis of knee OA remains uncertain. While many studies focused on the detrimental effect of the chemical mediators released by IPFP and their role in the accentuation of the development of OA, only few studies elucidated the beneficial effect of IPFP maximal area as a local shock absorber protecting the adjacent articular structures from progressive damage. The aim of this study was to evaluate the relation between the IPFP maximal area and the prevalence of OA manifestations. We also studied the relation between the subcutaneous (SC) fat thicknesses on the medial aspect of the knee as a surrogate marker of body obesity and the IPFP area. Results A total of 216 knee scans for 188 adult patients (64 males and 124 females) who met the inclusion criteria were examined. They were between 45 and 66 years (mean 52.5 years). The mean IPFP area for all patients was 6.9 cm2 (± 1.6 SD) (ranged from 4.5 to 11 cm2). After adjustment for potential confounders, there was a significant negative association between IPFP area and radiographic manifestations of OA (osteophites, joint space narrowing, and grade of OA) (P value < 0.001 for each), as well as MRI manifestations of OA (cartilage defects and subchondral bone marrow lesions) (P value < 0.001 and < 0.003, respectively). There was a negative but non-significant association between IPFP area and SC fat thickness. Conclusion In our study, we found supportive evidence that IPFP maximal area is associated with fewer osteoarthritic knee changes and less cartilage damage, suggesting that it plays a protective role against the development and progression of OA. Further large-scale clinical studies are awaited to confirm the obtained results. Based on our findings, it would be recommended to avoid IPFP resection during surgery in order to maintain its protective effect.


Sign in / Sign up

Export Citation Format

Share Document