In this article two aims are pursued: on the one hand, to present a rapidly converging algorithm for the approximation of square roots; on the other hand and based on the previous algorithm, to find the Pierce expansions of a certain class of quadratic irrationals as an alternative way to the...

The well--known Minkowski's? $(x)$ function is presented as the asymptotic distribution function of an enumeration of the rationals in (0,1] based on their continued fraction representation. Besides, the singularity of ?$(x)$ is clearly proved in two ways: by exhibiting a set of measure one in...

In 1952 F. Riesz and Sz.Nágy published an example of a monotonic continuous function whose derivative is zero almost everywhere, that is to say, a singular function. Besides, the function was strictly increasing. Their example was built as the limit of a sequence of deformations of the identity...

The distributions of income and wealth in countries across the world are found to possess some robust and stable features independent of the specific economic, social and political conditions of the countries. We discuss a few physics-inspired multi-agent dynamic models along with their...

The distributions of income and wealth in countries across the world are found to possess some robust and stable features independent of the specific economic, social and political conditions of the countries. We discuss a few physics-inspired multi-agent dynamic models along with their...

Applied general and partial equilibrium models are widely used tools for ex ante analysis of trade policy changes. However, simulation results seem to exhibit significant variation across publications, and the often criticised ‘black box’ character of applied trade models makes meaningful...

In this paper we want to discuss macroscopic and microscopic properties of financial markets. By analyzing quantitatively a database consisting of 13 minute per minute recorded financial time series, we identify some macroscopic statistical properties of the corresponding markets, with a special...

Seit ihrer Erkenntnis und Formulierung im Rahmen der Ausarbeitung der Thermodynamik zeigte sich, dass der Geltungsbereich der sog. Hauptsätze weit über die Grenzen der Thermodynamik im engeren Sinne herausreicht - sie sind offenbar das Fundament aller materiellen Prozesse. Unverständlich...

The goal of this study is to get a premium calculation principle, for the life insurance business, based on a coherent risk measure (Wang, 1995) in the form of power, called \Proportional Hazards (PH) Transforms" to justify the recommendation of Solvency II to reduce the effect of the mortality...

The basic purpose of the study is to find a metric-variable of competitiveness for each country's tax regime and to assess the impact of tax regime differentiation across the common market. A country adopting competitive taxation policies manages to attract productive factors, funds and...