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For a function f satisfying f (x) = o((log x) K), K > 0, and a sequence of numbers (qn) n, we prove by assuming several conditions on f that the sequence (αf (qn)) n≥n 0 is uniformly distributed modulo one for any nonzero real number α. This generalises some former results due to Too, Goto and Kano where instead of (qn) n the sequence of primes was considered.


Expanding on our previous results, we show that by partitioning the set of primes into a finite number of subsets of roughly the same size, we can create r-dimensional sequences of real numbers which are uniformly distributed modulo [0, 1)r.


To intervene against discriminatory in the workplace is tremendously important because discriminatory practices have an enormous economic impact, along with a severe impact on psychological health, which can result in illnesses such as depression and burnout. Such intervention requires a multidimensional approach, including the whole organization and a systematic procedure. The aim of this paper is to offer suggestions on how to reduce discrimination in the workplace in Austria and Taiwan. To reach this aim, a qualitative study was conducted. It showed that education, active positioning of companies, leadership and diligent selection of employees, discussion and analysis, psychological support, governmental policies, and aspects of language and talking gender-wise are the most important steps to decrease or eliminate discrimination in the workplace.


The LS-sequences are a parametric family of sequences of points in the unit interval. They were introduced by Carbone [4], who also proved that under an appropriate choice of the parameters L and S, such sequences are lowdiscrepancy. The aim of the present paper is to provide explicit constants in the bounds of the discrepancy of LS-sequences. Further, we generalize the construction of Carbone [4] and construct a new class of sequences of points in the unit interval, the generalized LS-sequences.


We show that for an arbitrary sequence of intervals I n with constant length c, there exist real numbers β such that for all n β n belongs to I n modulo one.



Although unemployment rates are at historical lows, there is still a persistent gap between unemployment rates in black and white population. Some have proposed that part of the gap for men can be explained by the higher rate of criminal records in the black population.


This analysis aims to use negative binomial regressions and the detailed crime data available from the National Longitudinal Survey of Youth 1997 survey to determine if black men with criminal records appear to be the driving force behind the gap.


The author finds that there are significant deviations in labor market outcomes depending on race and ethnicity, even when controlling for a criminal record and premarket skills.


Lowering the disproportionate rate at which black men are incarcerated will not in itself eliminate the unemployment gap between white and black men.


We introduce a hybridization of digital sequences with uniformly distributed sequences in the domain of b-adic integers, ℤb,b ∈ℕ \ {1}, by using such sequences as input for generating matrices. The generating matrices are then naturally required to have finite row-lengths. We exhibit some relations of the ‘classical’ digital method to our extended version, and also give several examples of new constructions with their respective quality assessments in terms of t, T and discrepancy.


Hukou registration is an instrument to control nonplanned population and capital movements, which the Chinese Communist Party has been exploiting extensively since the 1950s. It requires that each Chinese citizen be classified as either an agricultural or nonagricultural hukou inheritor and be distinguished by their location with respect to an administrative unit. Hukou distribution used to be entirely determined by birth, but nowadays, Chinese citizens can self-select their hukou status based on their ability that causes selection bias in conventional wage decomposition by hukou types. To avoid this bias, I estimated hukou-based earning discrimination by matching Chinese individuals based on a rich set of individual-, family-, and society-level characteristics. By deploying a recent nationally representative dataset, this paper finds that significant earning discriminations exist against agricultural hukou people. I further investigated the impact of hukou adoption within work ownership, work and employer types, and labor contract conditions. I argue that earning difference by hukou is not due to rural–urban segregations; rather, it is systematic and institutionally enforced. This is because, contrary to self-employment and no labor contract conditions, discrimination exists only when others employ them and where a labor contract condition is enforced. Moreover, they face discrimination only when they work for the Chinese government, not when they work for private firms, and they face higher discrimination in nonagriculture-related professions compared to agriculture-related professions.

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