In this paper we introduce the notion of almost equality (or, more specifically, by translations) complex functions an unrestricted real variable in terms new concept ϵ-translation number a function with respect to other one, which is inspired Bohr’s associated periodic function. We develop main properties class and obtain characterization through very important equivalence relation introduced ...

It is well known that scheduling jobs according to the Shortest-Remaining-Processing-Time (SRPT) policy is optimal for minimizing mean response time in a single-server system with online arrivals. Unfortunately, SRPT scheduling requires users to reveal their job size (service requirement), which is not always realistic. This may be because some users are informed, but selfish (or rational): the...

Recently it was reported that in terms of the global feature of frequency distributions of short words, whole genomes are equivalent to random sequences of a much shorter length which, for given word length, is genome independent, or universal. For two-letter words the universal equivalent random-sequence length was found to be about 300 bases. Here we show that as a rule whole genomes are high...

This article shows how uninformed but rational voters can respond intelligently to political advertising. The article models a situation where a candidate must rely on a pressure group for financing political advertising and making endorsements. The pressure group uses its power over the purse to influence the position chosen by the candidate. Nevertheless, when uninformed voters use a strategi...

As we make saccades, the image on each retina is displaced, yet our visual perception is uninterrupted. This is commonly referred to as transsaccadic perceptual stability, but such a description is inadequate. Some visual objects are stable (e.g., rocks) and should be perceived as such across saccades, but other objects may move at any time (e.g., birds). Stability is probabilistic in natural s...