We derive a family of eighth-order multipoint methods for the solution of nonlinear equations. In terms of computational cost, the family requires evaluations of only three functions and one first derivative per iteration. This implies that the efficiency index of the present methods is 1.682. Kung and Traub 1974 conjectured that multipoint iteration methods without memory based on n evaluation...

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 present a derivation of a regular language recognizing circuit originally developed by Foster and Kung [4]. We make use of pointfree relation algebra, in a style combining elements from earlier work in the Eindhoven Mathematics of Program Construction group [0], and from Ruby [6]. First we derive non-systolic recognizers, much in the same way as functional programs are derived. Then we make ...

Intolerance to lactose owing to deficiency of lactase is particularly prevalent among non-Caucasian peoples. Special caution is therefore needed in offering them milk supplements. Lactose tolerance has been investigated among the !Kung in the north-western Kalahari. The opportunity was taken also to examine their acetylator status, as this affects their ability to detoxicate drugs given for the...