Error estimates on parton distribution functions using global fits to multiple data sets are becoming important due to the improving precision data of hadron collider experiments. For estimating a set of reliable parameter uncertainties, one needs to make sure that an uniformly consistent data set has been established beforehand. For this reason, a more stringent criterion for testing goodness ...

In this paper we consider the problem of locating one new facility in the plane with respect to a given set of existing facilities where a set of polygonal barriers restricts traveling. This non-convex optimization problem can be reduced to a nite set of convex subproblems if the objective function is a convex function of the travel distances between the new and the existing facilities (like e....

We study the spectrum of transfer operators associated to various dynamical systems. Our aim is obtain precise information on discrete spectrum. To this end we propose a unitary approach. consider settings where new can be obtained following different branches along proposed path. These include affine expanding Markov maps, uniformly non-uniformly or simply monotone hyperbolic diffeomorphisms. ...

A multiplex is a kind of urban cultural facilities which not only has several different rooms for showing films, but also provides other services such as a wide range of food and drink stores and free/easy available parking. Multiplexes have significant cultural, economic and social characteristics. Given the importance and advantages of multiplexes, several multiplex buildings have been built ...