Geoffrey Grimmett Abstra t. The problem of how to allocate to states the seats in the US House of Representatives is the most studied instance of what is termed the ‘apportionment problem’. We propose a new method of apportionment which is stochastic, which meets the quota condition, and which is fair in the sense of expectations. Two sources of systematic unfairness are identified, firstly the...

Beatty sequences [nα1 + β1]n∈Z and [mα2 + β2]m∈Z are recorded by two athletes running in opposite directions in a round stadium. This approach suggests a nice interpretation for well known partitioning criteria: such sequences (eventually) partition the integers essentially when the athletes have the same starting point. A remarkable observation due to S. Beatty says that if w is any positive i...

Information and communication technologies (ICTs) have increasingly become an integral part of society, enhancing, changing, supporting, and complicating human lives. Although the disregard of technology inventors and designers for the users of ICTs has resulted in disjunctures between ICTs and users, users have refused to become mere agents of the designers. Individual users have developed the...

The analysis of the passenger spill data is an integral part for the determination of optimal aircraft capacities in the airline fleet assignment process. Most research in this study has assumed that the nominal demand is normally distributed. But empirical evidences show that normal probability distribution is not suitable in many cases because of asymmetry nature of the data. In the present s...

Small and Medium Enterprises (SMEs) form an integral part of every economy as they are the leading providers of revenue and employment. However, as the global economy becomes more reliant on Information Communication and Technology (ICT), some SMEs are yet to reap the benefits that ICT has to offer. The low rate of adoption and innovative use of ICT amongst SMEs has become significant research ...

This paper describes a method and a system for content-based querying of texts based on the availability of an ontology for the concepts in the text domain. A key principle in the system is the extraction of conceptual content of noun phrases into descriptors forming an integral part of the ontology. The retrieval of text passages rests on matching descriptors from the text against descriptors ...

The main purpose of this paper is using the elementary method and analytic method to study the asymptotic properties of the integer part of the k-th root positive integer, and give two interesting asymptotic formulae.