演講公告

演講主題： DNA-Like Structure of Nonlinear Functions
主講人：Moody Chu 教授
演講日期：2012年3月6日(星期二) 下午2:00 –3:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
Nonlinear functions have been employed as the most basic tool for characterizing or exploring nonlinear phenomena in nature. Yet even this fundamental device, as will be demonstrated in this article, exhibits certain inherent dynamics never realized before. Generalizing the notion of gradient over a scalar field to vector fields, singular vectors of the Jacobian of any given function form a moving frame pointing in directions along which the norm of the function changes most critically. Trajectories of these singular vectors, referred to as singular curves, unveil some interesting, perplexing, innate dynamics per the given
function. At points where two or more singular values coalesce, curious and complex behavior occurs, manifesting specific landmarks for the underlying function. This talk reports for the first time such a dynamics system. For demonstration purpose only, the current study focuses primarily on the case of
two-variable functions which, commonly used to characterize parametric surfaces, already exhibits some intriguing patterns. It is shown that, analogous to the double helix structure of DNA, two strands and eight base pairings could determine the respective properties.
相關檔案：演講1010306.doc

$返回$ go back