where q ≥ 3 is an integer, then lim t→∞φ(t) > 0. Moreover, the average 1 2T ∫ T −T |φ(t)|dt = O(T log 2 log q ), as T → ∞. Note that φ is the characteristic function of the random variable X = ∑∞ n=1 ρ εn, where {εn}n=1 is a sequence of i.i.d. Bernoulli random variables, and the corresponding distribution is a Cantor type measure. This measure is the most basic model in fractal theory; it is ge...

References 1. Lo YMD, Hjelm NM, Fidler C, Sargent IL, Murphy MF, Chamberlain PF, et al. Prenatal diagnosis of fetal RhD status by molecular analysis of maternal plasma. N Engl J Med 1998;339:1734–8. 2. Chiu RWK, Lau TK, Leung TN, Chow KCK, Chui DHK, Lo YMD. Prenatal exclusion of thalassaemia major by examination of maternal plasma. Lancet 2002;360:998–1000. 3. Zhong XY, Laivuori H, Livingston J...

A maximum-likelihood reconstruction technique for X-ray Talbot-Lau tomography is presented. This technique allows the iterative simultaneous reconstruction of discrete distributions of absorption coefficient, refractive index and a dark-field scattering coefficient. This technique avoids prior phase retrieval in the tomographic projection images and thus in principle allows reconstruction from ...

Consider a dominant manufacturer wholesaling a product to a retailer, who in turn retails it to the consumers at $p/unit. The retail-market demand volume varies with p according to a given demand curve. This basic system is commonly modeled as a manufacturer-Stackelberg ([mS]) game under a “deterministic and symmetric-information” (“det-sym-i”) framework. We first explain the logical flaws of t...

data types and in capturing their recursiveness. Fundamenta Informaticae VI(2):127–170, 1983. 2. A. Brogi, P. Mancarella, D. Pedreschi and F. Turini. Modular logic programming. ACM TOPLAS 16(4):1361-1398, 1994. 3. K.M. Bruce. A paradigmatic object-oriented programming language: Design, static typing and semantics. J. Functional Programming 4(2):127–206, 1994. 4. M. Bugliesi, E. Lamma and P. Mel...

Morphogenesis of the semicircular canal ducts in the vertebrate inner ear is a dramatic example of epithelial remodelling in the embryo, and failure of normal canal development results in vestibular dysfunction. In zebrafish and Xenopus, semicircular canal ducts develop when projections of epithelium, driven by extracellular matrix production, push into the otic vesicle and fuse to form pillars...

The James constant of a Banach space X was introduced by Gao and Lau [3] and has recently been studied by several authors. In this paper, we present some recent results on James constant of 2-dimensional Lorentz sequence space.