Polynomials of Pellian Type and Continued Fractions

We investigate infinite families of integral quadratic polynomials {fk (X)} k∈N and show that, for a fixed k ∈ N and arbitrary X ∈ N, the period length of the simple continued fraction expansion of √fk (X) is constant. Furthermore, we show that the period lengths of √fk (X) go to infinity with k. For each member of the families involved, we show how to determine, in an easy fashion, the fundamental unit of the underlying quadratic field. We also demonstrate how the simple continued fraction ex- pansion of √fk (X) is related to that of √C, where √fk (X) = ak*X^2 +bk*X + C. This continues work in [1]–[4].

Compactness in the First Baire Class and Baire-1 Operators

For a polish space M and a Banach space E let B1 (M, E) be the space of first Baire class functions from M to E, endowed with the pointwise weak topology. We study the compact subsets of B1 (M, E) and show that the fundamental results proved by Rosenthal, Bourgain, Fremlin, Talagrand and Godefroy, in case E = R, also hold true in the general case. For instance: a subset of B1 (M, E) is compact iff it is sequentially (resp. countably) compact, the convex hull of a compact bounded subset of B1 (M, E) is relatively compact, etc. We also show that our class includes Gulko compact. In the second part of the paper we examine under which conditions a bounded linear operator T : X ∗ → Y so that T |BX ∗ : (BX ∗ , w∗ ) → Y is a Baire-1 function, is a pointwise limit of a sequence (Tn ) of operators with T |BX ∗ : (BX ∗ , w∗ ) → (Y, · ) continuous for all n ∈ N. Our results in this case are connected with classical results of Choquet, Odell and Rosenthal.

Performance Comparison of MATLAB and Neuro Solution Software on Estimation of Fuel Economy by Using Artificial Neural Network

In the world, scientific studies increase day by day and computer programs facilitate the human’s life. Scientists examine the human’s brain’s neural structure and they try to be model in the computer and they give the name of artificial neural network. For this reason, they think to develop more complex problem’s solution. The purpose of this study is to estimate fuel economy of an automobile engine by using artificial neural network (ANN) algorithm. Engine characteristics were simulated by using “Neuro Solution” software. The same data is used in MATLAB to compare the performance of MATLAB is such a problem and show its validity. The cylinder, displacement, power, weight, acceleration and vehicle production year are used as input data and miles per gallon (MPG) are used as target data. An Artificial Neural Network model was developed and 70% of data were used as training data, 15% of data were used as testing data and 15% of data is used as validation data. In creating our model, proper neuron number is carefully selected to increase the speed of the network. Since the problem has a nonlinear structure, multi layer are used in our model.

The Future of the Next-Generation Internet and Possible Applications into Education and Culture Heritage

There are several initiatives such as: US Ignite, Software Defined Networking (SDN), OpenFlow, Global Environment for Network Innovation (GENI), WiMAX and Internet 2 dealing with the future of the internet. The goal of the paper is to understand the goals, intricacies, and nuances of some of these techniques and show some of the possibilities of next-generation high-speed networking and their applications into education and culture heritage.

Windowed-Wigner Representations, Interferences and Operators

2010 Mathematics Subject Classification: 42B10, 47A07, 35S05.

A micro industry with closed energy and water cycles for sustainable rural development

Sustainable development requires combining economic viability with energy and environment conservation and ensuring social benefits. It is conceptualized that for designing a micro industry for sustainable rural industrialization, all these aspects should be integrated right up front. The concept includes; (a) utilization of local produce for value addition in a cluster of villages and enhancing income of the target population; (b) use of renewable energy and total utilization of energy generated by co and trigeneration (combining electric power production with heat utilization for heating and cooling); (c) conservation of water and complete recycling of effluents; (d) total utilization of all wastes for achieving closure towards a zero waste system. Enhanced economic viability and sustainability is achieved by integration of appropriate technologies into the industrial complex. To prove the concept, a model Micro Industrial Complex (MIC) has been set up in a semi arid desert region in Rajasthan, India at village Malunga in Jodhpur district. A biomass powered boiler and steam turbine system is used to generate 100-200 KVA of electric power and high energy steam for heating and cooling processes downstream. The unique feature of the equipment is a 100-150 kW back-pressure steam turbine, utilizing 3-4 tph (tonnes per hour) steam, developed by M/s IB Turbo. The biomass boiler raises steam at about 20 barg 3 tph, which is passed through a turbine to yield about 150 kW of electrical power. The steam let out at a back pressure of 1-3 barg has high exergy and this is passed on as thermal energy (about 2 MW), for use in various applications depending on the local produce and resources. The biomass fuel requirement for the boiler is 0.5-0.75 tph depending on its calorific value. In the current model, the electricity produced is used for running an oil expeller to extract castor oil and the castor cake is used as fuel in the boiler. The steam is used in a Multi Effect Distillation (MED) unit for drinking water production and in a Vapour Absorption Machine (VAM) for cooling, for banana ripening application. Additional steam is available for extraction of herbs such as mint and processing local vegetables. In this paper, we discuss the financial and economic viability of the system and show how the energy, water and materials are completely recycled and how the benefits are directed to the weaker sections of the community.

A Computational Approach for the Statistical Estimation of Discrete Time Branching Processes with Immigration

2010 Mathematics Subject Classification: 60J80.

Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type

MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32

Formative variables and unreal variables:why the formative MIMIC model is invalid

In this rejoinder, we provide a response to the three commentaries written by Diamantopoulos, Howell, and Rigdon (all this issue) on our paper The MIMIC Model and Formative Variables: Problems and Solutions (also this issue). We contrast the approach taken in the latter paper (where we focus on clarifying the assumptions required to reject the formative MIMIC model) by spending time discussing what assumptions would be necessary to accept the use of the formative MIMIC model as a viable approach. Importantly, we clarify the implications of entity realism and show how it is entirely logical that some theoretical constructs can be considered to have real existence independent of their indicators, and some cannot. We show how the formative model only logically holds when considering these ‘unreal’ entities. In doing so, we provide important counter-arguments for much of the criticisms made in Diamantopoulos’ commentary, and the distinction also helps clarify a number of issues in the commentaries of Howell and Rigdon (both of which in general agree with our original paper). We draw together these various threads to provide a set of conceptual tools researchers can use when thinking about the entities in their theoretical models.

Conclusion : on multiple levels of analysis, context, contingency and capital

In this concluding chapter, we bring together the threads and reflections on the chapters contained in this text and show how they relate to multi-level issues. The book has focused on the world of Human Resource Management (HRM) and the systems and practices it must put in place to foster innovation. Many of the contributions argue that in order to bring innovation about, organisations have to think carefully about the way in which they will integrate what is, in practice, organisationally relevant — but socially distributed — knowledge. They need to build a series of knowledge-intensive activities and networks, both within their own boundaries and across other important external inter-relationships. In so doing, they help to co-ordinate important information structures. They have, in effect, to find ways of enabling people to collaborate with each other at lower cost, by reducing both the costs of their co-ordination and the levels of unproductive search activity. They have to engineer these behaviours by reducing the risks for people that might be associated with incorrect ideas and help individuals, teams and business units to advance incomplete ideas that are so often difficult to codify. In short, a range of intangible assets must flow more rapidly throughout the organisation and an appropriate balance must be found between the rewards and incentives associated with creativity, novelty and innovation, versus the risks that innovation may also bring.

A (szabadidő)sport alapfogalmai és kutatott területei = The basic concepts and researched areas of (leisure)sport

A tanulmány a jövőbeni szabadidősport-kutatásokhoz egyfajta alapként fogalmi áttekintést ad a szabadidőről és a sport különböző aspektusairól, kutatott területeiről, valamint a szabadidősport közgazdasági értelemben vett hasznosságáról, egyén, társadalom, gazdaság és vállalatok szintjén. = This paper would like to give an overview about the different concepts and aspects of leisure and sport, list the different areas researchers deal with, and show a picture about the utility of leisure sport in connection with human being, society, economy and companies, with the purpose of founding the coming leisure-sport researches.

A fedezetlen bankközi forintpiac hálózati dinamikájának vizsgálata a likviditási válság előtt és után (Examination of the network dynamics of the uncovered interbank forint markel before the liquidity crisis and after)

A cikkben a magyar fedezetlen bankközi forintpiac hálózatának időbeli alakulását vizsgáljuk 2002 decemberétől 2009 márciusáig. Bemutatjuk a piac általános jellemzőit (forgalom, kamatláb, koncentráció stb.) és az alapvető hálózati mutatókat. Azt tapasztaljuk, hogy az időszak első felében ezek a jellemzők lényegében stabilak voltak. 2006-2007-től kezdve azonban a mutatók egy része kezdett jelentősen megváltozni: a hitelfelvevők koncentrációja nőtt, az átlagos közelség és az átlagos fokszám csökkent, továbbá a hálózat magjának mérete is csökkent. Ezek a jelek arra utalhatnak, hogy a bankok már a válság kitörése előtt érzékelték a növekvő hitelkockázatot, és egyre inkább megválogatták, hogy kinek adnak hitelt. Figyelemre méltó, hogy mindeközben az általános piaci mutatók (forgalom, kamatláb, illetve ezek volatilitása) semmiféle változásra utaló jelet nem tükröztek egészen 2008 októberéig, de ekkor hirtelen minden mutatóban egyértelművé vált a rezsimváltás. Végül részletesen elemezzük az egyes szereplők viselkedését, és megmutatjuk, hogy válságban az egyes szerepek drasztikusan megváltoztak (például forrásokból nyelők lettek, és fordítva). / === / The article examines the changes in the network of Hungary's uncovered interbank forint market over the period Decembcr 2000 to March 2009. It presents the general features of the market (volume, interest rates, concentration etc.) and its basic network. It is found that the features were largely stable in the first half of the period, but some of the indicators began to change significantly in 2006-7: the concentration of borrowers incrcased, average distance and average degree declined, as did the size of the core of the network. These signs pointed to the fact that the banks had sensed an increase in credit risk even before the crisis broke and were becoming increasingly choosy selective in their lending. Meanwhile, however. there aerc no indications of change in the general market indicators (volume, interest rates, or volatility of these) right up to October 2008, when the change of regime was clear in all indicators. Finally, the authors analyse in detail the behaviour of each participant and show that thc roles of some altered drastically with the crisis (e.g. sources became consumers and vice versa).

Gender, Work and Employment in Ten Candidate Countries of Central and Eastern Europe. Final Report. Country: Hungary

The Hungarian media shows very contradictory pictures of women today: Successful career women enjoying material well-being is one picture, while the careful mother not working outside the home, keeping together the family is another one. Between these two contradictory poles there are almost no other female actors in the media. Life produces something different. In spite of the fact that there was a big loss of jobs in 1990s, and women’s activity rate decreased while the unemployment rate increased compared to before the 1990s, woman with duel roles are still accepted and common. The first female task is looking after the family and the second one is working outside the home and earning money. In many cases there is a third role: studying in distant or evening courses. In the next chapters we go deeper into this topic. We analyse the different aspects of female labour market positions, and show some relevant characteristics of governmental parental benefits and childcare support, and examine how the new pension system effects women. We also have a quick look at trade unions and show their lack of activity around gender issues. In the labour market analysis of the position of women we use labour force surveys, institution-based labour statistics, and unemployment registers. The Appendix 1 contains short descriptions of these data sources.

The economic approach of advertising and the problem of allocating advertising budgets during a recession

The importance of advertising has changed in many aspects in the last decade, and mainly during the last years of the economic crisis. Economics traditionally did not find advertising a valuable factor until empirical studies demonstrated that advertisement affects consumer perception by means of indicating the quality of the underlying product. Consequently, products that are advertised more frequently, are more likely to be associated with a higher quality. Nevertheless, advertising is a strong tool in competition, which statement is confirmed by the recognition that increasing consumer knowledge contributes to the diffusion of innovation and to the reduction of research and development (R&D) costs. This contribution can be achieved nowadays by consumer interactivity, where companies deliberately rely on the involvement of their consumers. Recently, when companies were confronted to the global economic crisis, brand managers realized that allocating advertising budgets in a recession (considering the actual state of the economic conditions) is a highly important decision factor beside competition, consumer behaviour, trends or industrial conditions. Companies have to realize that their communication budgets are planned substantially in a different way in times of crisis than during an upsurge. Moreover, should a company make the best of maintaining their advertising budgets in recession times, it will indicate more trust towards their consumers and show a more favorable image towards their investors. This study assembles different approaches from the economics of advertising to draw conclusions for the subsequent analyses of advertising in times of a crisis. The main objective with the literature review is to show, that pro-cyclical actions (reducing advertising budgets in times of crisis and overspending during upsurge) of companies can lead to problems of profitability, consumer trust and competitiveness in the long run.

Investigation of Mantle Dynamics from Platinum Group Elements and Rhenium-Osmium Isotope Systematics of Mantle Xenoliths from Oahu, Hawaii

Intraplate volcanism that has created the Hawaiian-Emperor seamount chain is generally thought to be formed by a deep-seated mantle plume. While the idea of a Hawaiian plume has not met with substantial opposition, whether or not the Hawaiian plume shows any geochemical signal of receiving materials from the Earth’s Outer Core and how the plume may or may not be reacting with the overriding lithosphere remain debatable issues. In an effort to understand how the Hawaiian plume works I report on the first in-situ sulfides and bulk rock Platinum Group Element (PGE) concentrations, together with Os isotope ratios on well-characterized garnet pyroxenite xenoliths from the island of Oahu in Hawaii. The sulfides are Fe-Ni Monosulfide Solid Solution and show fractionated PGE patterns. Based on the major elements, Platinum Group Elements and experimental data I interpret the Hawaiian sulfides as an immiscible melt that separated from a melt similar to the Honolulu Volcanics (HV) alkali lavas at a pressure-temperature condition of 1530 ± 100OC and 3.1±0.6 GPa., i.e. near the base or slightly below the Pacific lithosphere. The 187Os/188Os ratios of the bulk rock vary from subchondritic to suprachondritic (0.123-0.164); and the 187Os/188Os ratio strongly correlates with major element, High Field Strength Element (HFSE), Rare Earth Element (REE) and PGE abundances. These correlations strongly suggest that PGE concentrations and Os isotope ratios reflect primary mantle processes. I interpret these correlations as the result of melt-mantle reaction at the base of the lithosphere: I suggest that the parental melt that crystallized the pyroxenites selectively picked up radiogenic Os from the grain boundary sulfides, while percolating through the Pacific lithosphere. Thus the sampled pyroxenites essentially represent crystallized melts from different stages of this melt-mantle reaction process at the base of the lithosphere. I further show that the relatively low Pt/Re ratios of the Hawaiian sulfides and the bulk rock pyroxenites suggest that, upon ageing, such pyroxenites plus their sulfides cannot generate the coupled 186Os- 187Os isotope enrichments observed in Hawaiian lavas. Therefore, recycling of mantle sulfides of pyroxenitic parentage is unlikely to explain the enriched Pt-Re-Os isotope systematics of plume-derived lavas.