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CONSTRUCTIONS OF REGULAR SPARSE ANTI-MAGIC SQUARES
Chen, Guangzhou,Li, Wen,Xin, Bangying,Zhong, Ming Korean Mathematical Society 2022 대한수학회보 Vol.59 No.3
For positive integers n and d with d < n, an n × n array A based on 𝒳 = {0, 1, …, nd} is called a sparse anti-magic square of order n with density d, denoted by SAMS(n, d), if each non-zero element of X occurs exactly once in A, and its row-sums, column-sums and two main diagonal-sums constitute a set of 2n + 2 consecutive integers. An SAMS(n, d) is called regular if there are exactly d non-zero elements in each row, each column and each main diagonal. In this paper, we investigate the existence of regular sparse anti-magic squares of order n ≡ 1, 5 (mod 6), and prove that there exists a regular SAMS(n, d) for any n ≥ 5, n ≡ 1, 5 (mod 6) and d with 2 ≤ d ≤ n - 1.
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Jules Woolf,Guangzhou Chen,Matt Haugen,Jon Welty Peachey 글로벌지식마케팅경영학회 2024 Journal of Global Sport Management Vol.9 No.1
The number of Chinese student-athletes (CSAs) at National Collegiate Athletic Association (NCAA) schools in the United States has increased dramatically in recent years. However, little is known about the distinct challenges CSAs face as they adopt the role of student and athlete, and the potential for role conflict to occur. This study explored the ways in which CSAs experienced role conflict and how they managed this conflict. Ten interviews were conducted with current or former CSAs at NCAA Division I schools. Findings revealed that CSAs experienced role conflict due to con-trasting expectations from different stakeholders, the lack of aca-demic preparedness, and unfamiliarity with the collegiate sport system. Meanwhile, CSAs managed their role conflict by realigning role expectations and shifting role identity. The findings demon-strate how role conflict can be applied to a cross-cultural context, while informing collegiate sport administrators of efforts to man-age CSAs transition into the NCAA system.
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