NEW SMARANDACHE SEQUENCES: THE FAMILY OF METALLIC MEANS

The family of Metallic Means comprises every quadratic irrational number that is the positive solution of algebraic equations, where n is a natural number. The most prominent member of this family is the Golden Mean, then it comes the Silver Mean, the Bronze Mean, the NIckel Mean, the Copper Mean, etc. All of them are closely related to quasi-periodic dynamics, being therefore important clues in the study of the onset to chaos

Local points on Shimura coverings of Shimura curves at bad reduction primes

Let XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced discriminant D>1. For each prime l|D, there is a natural cyclic Galois covering of Shimura curves XD,l → XD constructed by adding certain level structure at l. The main goal of this note is to study the existence of local points at primes p≠l of bad reduction on the intermediate curves of these coverings and their Atkin–Lehner quotients.Peer ReviewedPostprint (author's final draft

Judicial review, reasons and technology: a glance at constitutionalism and democracy

Judicial review reflects the level of commitment between constitutionalism and democracy in contemporary States. Yet democracy as the sovereign government of the people implies a tension with constitutionalism as the rule of law. That is, people ruling themselves or the government by the people – majority government - is limited by the law of law making, the constitution. In Brazil, the improvement of judicial review is nowadays related to increase the number of decisions given by the Brazilian Supreme Court or rather to the capability of this latter in deciding a large number of constitutional lawsuits no matter the form and content of its arguments. For, the Court is nowadays driven by numbers and to accomplish its goals in terms of numbers (of decisions) it applies to technological solutions such as the digitalization of legal proceedings. It means that as many decision as Supreme Court issues -with the help of technology- the better it is. Relating the numbers of decisions issued by the Court to the improvement of Brazilian judicial review or Brazilian constitutionalism and democracy is a great mistake and a false statement as far as it does not face the main problem of the system, which is the lack of reasons of Supreme Court’s decision. The point is that, in this case, technology is just a tool –among others- in order to render legal proceedings faster yet not a qualitative sign of Supreme Court’s decisions

Towards an automated query modification assistant

Users who need several queries before finding what they need can benefit from an automatic search assistant that provides feedback on their query modification strategies. We present a method to learn from a search log which types of query modifications have and have not been effective in the past. The method analyses query modifications along two dimensions: a traditional term-based dimension and a semantic dimension, for which queries are enriches with linked data entities. Applying the method to the search logs of two search engines, we identify six opportunities for a query modification assistant to improve search: modification strategies that are commonly used, but that often do not lead to satisfactory results.Comment: 1st International Workshop on Usage Analysis and the Web of Data (USEWOD2011) in the 20th International World Wide Web Conference (WWW2011), Hyderabad, India, March 28th, 201

The Impact of Rural Roads

This article is a product of a nine-month training and application program implemented by the micro component of the Economic and Social Impact Analysis/Women in Development (ESIA/WID) and the Food Systems Program of the East-West Center Resource Systems Institute (RSI). It compares and analyzes the socioeconomic status of the population within the influence areas of the experimental and control group before and after the rural road construction. In particular, it conducts an impact assessment of rural road construction on the income level of the population.infrastructure, rural sector, impact analysis, road

Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 L-series

We prove an explicit central value formula for a family of complex L-series of degree 6 for GL2 × GL3 which arise as factors of certain Garret–Rankin triple product L-series associated with modular forms. Our result generalizes a previous formula of Ichino involving Saito–Kurokawa lifts, and as an application we prove Deligne’s conjecture stating the algebraicity of the central values of the considered L-series up to the relevant periods.Peer ReviewedPostprint (author's final draft