Everyone has his heroes, like the college coaches, many of them play a important role in our college life, and they hve a legendary life here at the same time. In America, college student pay attention to NCAA （Natio...Everyone has his heroes, like the college coaches, many of them play a important role in our college life, and they hve a legendary life here at the same time. In America, college student pay attention to NCAA （National Collegiate Athletic Association）, there are many famous coaches in it, such as Nich Saban, Jerry Tarkanian, and more. The authors are very interested in the competitive life of those who are the top five coaches in the world. So the authors concentrate on the winning rate, the contribution rate, and the cycle of the honors to evaluate each coach, by standardizing the metrics, they get the final scores of each metric for basketball; according to the scores, they get the top five coaches in a century. And in this paper, the authors also take the gender and timeline into account.展开更多
By virtue of Cauchy’s integral formula in the theory of complex functions,the authors establish an integral representation for the weighted geometric mean,apply this newly established integral representation to show ...By virtue of Cauchy’s integral formula in the theory of complex functions,the authors establish an integral representation for the weighted geometric mean,apply this newly established integral representation to show that the weighted geometric mean is a complete Bernstein function,and find a new proof of the well-known weighted arithmetic-geometric mean inequality.展开更多
文摘Everyone has his heroes, like the college coaches, many of them play a important role in our college life, and they hve a legendary life here at the same time. In America, college student pay attention to NCAA （National Collegiate Athletic Association）, there are many famous coaches in it, such as Nich Saban, Jerry Tarkanian, and more. The authors are very interested in the competitive life of those who are the top five coaches in the world. So the authors concentrate on the winning rate, the contribution rate, and the cycle of the honors to evaluate each coach, by standardizing the metrics, they get the final scores of each metric for basketball; according to the scores, they get the top five coaches in a century. And in this paper, the authors also take the gender and timeline into account.
文摘By virtue of Cauchy’s integral formula in the theory of complex functions,the authors establish an integral representation for the weighted geometric mean,apply this newly established integral representation to show that the weighted geometric mean is a complete Bernstein function,and find a new proof of the well-known weighted arithmetic-geometric mean inequality.
