We study pricing by multiproduct firms in the context of unregulated monopoly, regulated monopoly and Cournot oligopoly. Using the concept of consumer surplus as a function of quantities (rather than prices), we present simple formulas for optimal prices and show that Cournot equilibrium exists and corresponds to a Ramsey optimum. We then present a tractable class of demand systems that involve...

We introduce a simple local atomic structure optimization algorithm which is significantly faster than standard implementations of the conjugate gradient method and often competitive with more sophisticated quasi-Newton schemes typically used in ab initio calculations. It is based on conventional molecular dynamics with additional velocity modifications and adaptive time steps. The surprising e...

Genetics have undoubtedly become an integral part of biomedical science and clinical practice, with important implications in deciphering disease pathogenesis and progression, identifying diagnostic and prognostic markers, as well as designing better targeted treatments. The exponential growth of our understanding of different genetic concepts is paralleled by a growing list of genetic terminol...

By separating the principal acceptance mechanism from the concrete acceptance condition of a given Büchi automaton with n states, Schewe presented the construction of an equivalent deterministic Rabin transition automaton with o((1.65n)n) states via history trees, which can be simply translated to a standard Rabin automaton with o((2.26n)n) states. Apart from the inherent simplicity, Schewe’s c...

Dental cementum is a specialized calcified structure covering the root of a tooth. This study aims to investigate cementum using various stains which can be exceedingly useful in investigation, observation and diagnosis. 4µm sections of 25 extracted normal teeth, 25 cases of various cemental pathologies and 25 ground sections were stained using cresyl violet, H/E, toluidine blue and periodic ac...

The review of geochronological and historical data documents that the largest southern European deltas formed almost synchronously during two short intervals of enhanced anthropic pressure on landscapes, respectively during the Roman Empire and the Little Ice Age. These growth phases, that occurred under contrasting climatic regimes, were both followed by generalized delta retreat, driven by tw...

The task of programming concurrent systems is substantially more difficult than the task of programming sequential systems with respect to both correctness and efficiency. In this paper we describe a constraint-based methodology for writing concurrent applications. A system is modeled as: (a) a set of processes containing a sequence of “markers” denoting the processes points of interest; and (b...