study. Department of Statistics, North Carolina State University, Raleigh, North Carolina, United States of America Department of Genetics, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, United States of America Bioinformatics Research Center, North Carolina State University, Raleigh, North Carolina, United States of America Department of Statistics, National Cheng-Ku...

A one-parameter 4-point sixteenth-order King-type family of iterative methods which satisfy the famous Kung-Traub conjecture is proposed. The convergence of the family is proved, and numerical experiments are carried out to find the best member of the family. In most experiments, the best member was found to be a sixteenth-order Ostrowski-type method.

We develop a family of fourth-order iterative methods using the weighted harmonic mean of two derivative functions to compute approximatemultiple roots of nonlinear equations.They are proved to be optimally convergent in the sense of Kung-Traub’s optimal order. Numerical experiments for various test equations confirm well the validity of convergence and asymptotic error constants for the develo...

1 Sinotech Engineering Consultants, LTD. Geotechnical Engineering Department, 12F, 171, Nanking E. Rd. Sec.5, Taipei 10570, Taiwan, Republic of China. 2 Department of Soil and Water Conservation, National Chung Hsing University, 250 Kuo Kuang Rd., Taichung 402, Taiwan, Republic of China. 3 Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan 70101, Taiwan, Repub...

This thesis describes a system of neural networks that performs harmonic analysis on musical compositions. The system is split into four groups of Networks: Key Network, Root Network A (used to detect secondary functions), Root Network B, and Quality Network. The system is trained on 20 J.S. Bach chorales and tested on another 18 Bach chorales. Accuracies of over 90% were obtained for all four ...

Meditation has clear effects in bringing practitioners’ mind into a tranquil state and promoting both the mental and the physical health. The effect of meditation is measurable. The authors propose to establish a model for meditation state by applying modern experimental sciences to brain wave data. The authors start with a project that aims to create an application that takes electroencephalog...

Almost all cultures have roots in some sort of self defence system and yet there is relatively little research in this area, outside of a sports related environment. This project investigated different applications of strikes from Kung Fu practitioners that have not been addressed before in the literature. Punch and palm strikes were directly compared from different heights and distances, with ...