This note introduces a new general conjecture correlating the dimensionality dT of an infinite lattice with N nodes to the asymptotic value of its Wiener Index W(N). In the limit of large N the general asymptotic behavior W(N)≈Ns is proposed, where the exponent s and dT are related by the conjectured formula s=2+1/dT allowing a new definition of dimensionality dW=(s-2)-1. Being related to the t...

The widely acclaimed animated movie, Kung Fu Panda, provides an interesting resource for teaching concepts of motivation including Intrinsic and Extrinsic Motivation, Self-efficacy, Self-fulfilling Prophecy Vroom’s Expectancy Theory. This article clip-by-clip examples that exhibit these along with discussion prompts probable answers facilitate engagement understanding among students. Time stamp...

* Both authors are affiliated with the Department of Finance, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong. The second author is also affiliated with the University of British Columbia. We would like to thank K. C. Chan, Sudipto Dasgupta, Vojislav Maksimovic, Anjan Thakor, Sheridan Titman, and the seminar participants at the Hong Kong University of Science...

let $g$ be a finite group and let $text{cd}(g)$ be the set of all‎ ‎complex irreducible character degrees of $g$‎. ‎b‎. ‎huppert conjectured‎ ‎that if $h$ is a finite nonabelian simple group such that‎ ‎$text{cd}(g) =text{cd}(h)$‎, ‎then $gcong h times a$‎, ‎where $a$ is‎ ‎an abelian group‎. ‎in this paper‎, ‎we verify the conjecture for‎ ${f_4(2)}.$‎

Corresponding author: Edward Chia-Cheng Lai PhD School of Pharmacy Institute of Clinical Pharmacy and Pharmaceutical Sciences College of Medicine National Cheng Kung University No. 1, University Road Tainan 701, Taiwan Phone: +886-6-2353535 E-mail: tb8991010@mail. ncku.edu.tw 1 Department of Pharmacy, Chang Gung Memorial Hospital, Keelung, Taiwan 2 School of Pharmacy, Institute of Clinical Phar...

YA-MIN CHENG, MD,YI CHEN, MD, YU-YUN HSU, YUEH-CHIN CHENG, MING-JENN CHEN, MD , YI-CHIANG HSU, PHD Department of Obstetrics and Gynecology Institute of Clinical Medicine, National Cheng Kung University, Tainan, Taiwan. Cardiovascular Center, Tainan Municipal Hospital, Taiwan Department of Nursing Institute of Biomedical Engineering, College of Medicine, National Cheng Kung University, Tainan, T...

Yueh-Nan Chen,1,* Shin-Liang Chen,1 Neill Lambert,2 Che-Ming Li,3 Guang-Yin Chen,4 and Franco Nori2,5 1Department of Physics and National Center for Theoretical Sciences, National Cheng-Kung University, Tainan 701, Taiwan 2CEMS, RIKEN, Saitama, 351-0198, Japan 3Department of Engineering Science, National Cheng-Kung University, Tainan 701, Taiwan 4Department of Physics, National Chung Hsing Univ...

‎‎we investigate graham higman's paper emph{enumerating }$p$emph{-groups}‎, ‎ii‎, ‎in which he formulated his famous porc conjecture‎. ‎we are able to simplify some of the theory‎. ‎in particular‎, ‎higman's paper contains five pages of homological algebra which he uses in‎ ‎his proof that the number of solutions in a finite field to a finite set of‎ ‎emph{monomial} equations is porc‎. ‎it turn...