We prove that all algebraic bases β allow an eventually periodic representation of the elements ℚ(β) with a finite alphabet digits $${\cal A}$$ . Moreover, classification allowing those representations have socalled weak greedy property is given. The decision problem whether given pair (β, ) allows proves to be rather hard, for it equivalent topological attractor iterated function system.

This study compares, for listeners with normal hearing and listeners with hearing loss, the recognition performances obtained with digit-pair and digit-triplet stimulus sets presented in multitalker babble. Digits 1 through 10 (excluding 7) were mixed in approximately 1,000 ms segments of babble from 4 to -20 dB signal-to-babble (S/B) ratios, concatenated to form the pairs and triplets, and rec...

PURPOSE To evaluate a new nuclear cataract grading system which is intended as a surgical guidance system to predict lens hardness before cataract surgery. METHODS The new BCN 10 grading system consists of frontal and cross-sectional slit-lamp images of human eye lenses, ranging from a completely transparent lens nucleus to a totally black nuclear cataract. Validation was done with 9 observer...

Some statistical tests of randomness are made of the first 88062 binary digits (or equivalent in other bases) of Jn in various bases b, 2 g n g 15 (n square-free) with b = 2,4, 8, 16 and n = 2, 3, 5 with b = 3,5, 6, 7, and 10. The statistical tests are the y2 test for cumulative frequency distribution of the digits, the lead test, and the gap test. The lead test is an examination of the distanc...

Abstract In this paper, we examined two pairs of datasets from selected Nigerian lottery games to determine players’ number preferences. Data explorations were conducted in the first pair identify patterns choices numbers. The question whether players preferred combinations that are well-spread out regardless their true theoretical probabilities was second pair. datasets, find most have a prefe...

Older adults with sensorineural hearing loss have greater difficulty understanding speech than younger adults with equivalent hearing (Gates & Mills, 2005). This increased difficulty may be related to the influence of peripheral, central auditory processing or cognitive deficits and although this has been extensively debated the relative contribution to speech understanding is equivocal (Workin...

To grasp an object one needs to determine suitable positions on its surface for placing the digits and to move the digits to those positions. If the object is displaced during a reach-to-grasp movement, the digit movements are quickly adjusted. Do these fast adjustments only guide the digits to previously chosen positions on the surface of the object, or is the choice of contact points also con...

Although the representation of the real numbers in terms of a base and a set of digits has a long history, new questions arise even in the binary case digits 0 and 1. A binary positional number system (binary radix system) with base equal the golden ratio (1 + √ 5)/2 is fairly well known. The main result of this paper is a construction of infinitely many binary radix systems, each one construct...