Two classes of Iteration Functions (IFs) are derived in this paper. The first (one-point IFs) was originally derived by Joseph Traub using a different approach to ours (simultaneous IFs). The second is new and is demonstrably shown to be more informationally efficient than the first. These IFs apply to polynomials with arbitrary complex coefficients and zeros, which can also be multiple.

Yueh-Nan Chen,1,2,* Che-Ming Li,3,† Neill Lambert,2,‡ Shin-Liang Chen,1 Yukihiro Ota,2 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, Wako-shi, Saitama 351-0198, Japan 3Department of Engineering Science, National Cheng-Kung University, Tainan City 701, Taiwan 4Department of...

Department of Endocrinology, Far Eastern Memorial Hospital, New Taipei City, Taiwan School of Medicine, Fujen Catholic University, New Taipei City, Taiwan Department of Gastroenterology, Central Medicine Hospital Group, New Taipei City, Taiwan Department of Nursing, College of Medicine, National Cheng Kung University, Tainan City, Taiwan Department of Health Care Management, National Taipei Uni...

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...

ABSTRACT Introduction Aerobic and anaerobic skills are essential characteristics in Kung Fu competitions. Research concerning their repercussions on athletes’ body composition has gained emphasis due to increased sports competitiveness. Squat training is used martial arts, but there no reports about the results kung fu practitioners. Objective Investigate effects of squat lower limb strength at...

Around 1960, Markus & Yamabe [1] conjectured that, for each n ≥ 2, every rest point x0 of a nonlinear, class C1, n-dimensional system of differential equations ẋ = F (x) is globally asymptotically stable if the eigenvalues of the jacobian matrix F (x) have negative real parts at every point x in R. At that time, Olech [2] connected this problem with the question of injectivity of the mapping x ...

Lymphocytic choriomeningitis virus (LCMV)-specific CD8(+) T cell responses are considered to be independent of CD28-B7 costimulation. However, the LCMV-specific response has never been evaluated in B7.1/B7.2(-/-) mice. For this reason, we decided to study the T cell response in B7.1/B7.2(-/-) mice infected with two different strains of LCMV, one (Traub strain) typically causing low-grade chroni...