Boundary value problems for third-order nonlinear ordinary differential equations

In this paper, we describe how to analyze boundary value problems for third-order nonlinear ordinary differential equations over an infinite interval. Several physical problems of interest are governed by such systems. The seminumerical schemes described here offer some advantages over solutions obtained by using traditional methods such as finite differences, shooting method, etc. These techniques also reveal the analytic structure of the solution function. For illustrative purposes, several physical problems, mainly drawn from fluid mechanics, are considered; they clearly demonstrate the efficiency of the techniques presented here.

Agoralla : avauksia ympäristöasiantuntijoiden vuorovaikutusprosesseista

Ympäristöasiantuntijoiden vuorovaikutusta on tutkittu agoralla (antiikin tori). Se on julkinen tila, jossa markkinat, politiikka, tiede ja yhteiskunta kohtaavat. Tutkimus kuuluu yhteiskuntatieteellisen ympäristötutkimuksen alaan, mutta siinä hyödynnetään myös tulevaisuudentutkimusta. Työn motivaationa on ollut tekijän monitieteinen koulutustausta: yhteiskuntatieteilijä ja luonnontieteilijä. Miten ja miksi vuorovaikutus eri asiantuntijoiden välillä on haasteellista ja merkityksellistä esimerkiksi metsän biodiversiteetin vähenemisen ehkäisemiseksi. Keskeisiä käsitteitä ovat asiantuntijuus, vuorovaikutus, tiedon luotettavuusja kontekstisidonnaisuus, Väitöskirja koostuu neljästä eri asiantuntijuustarinasta. Ensimmäinen (luku 2) perustuu haastatteluihin suomalaisten ja saksalaisten bio- ja yhteiskuntatietelijöiden käsityksistä luonnosta ja ympäristöstä. Tutkimusongelmana on luonnontieteilijöiden ja yhteiskuntatieteilijöiden Suomessa ja Saksassa ”kulttuurierot” luonnon ja ympäristön käsitteellistämisessä. Johtopäätöksenä on, että aistittu luonto, ympäröivä ympäristö sekä ihmisen muokkaama elinympäristö eivät tunne selkeitä tiede- eikä maanrajoja. Tämä luku toimii ponnahduslautana konstruktioiden taakse vuorovaikutuksen haasteisiin. Kirjan toinen tarina (luku 3) perustuu haastatteluihin suomalaisten metsän biodiversiteettiasiantuntijoiden vuorovaikutuksesta. Tutkimusongelman lähtökohtana on metsän biodiversiteetin väheneminen ja tästä seuraavat polittisetkin vuorovaikutustilanteet. Miten konteksti vaikuttaa eri asiantuntijoiden vuorovaikutukseen ja mitä tästä seuraa? Analyysin päätulos on implisiittisen, vahvasti kontekstisidonnaisen asiantuntijatiedon hyödyntämisen tarve ja voimavara metsän biodiversiteetin vähenemisen ennaltaehkäisemiksi. Kolmas tarina asiantuntijuudesta (luku 4) perustuu Etelä-Suomen metsien suojelutoimikunnassa (Metso) tehtyihin havainnointeihin. Tutkija on näin ollut itse eräänlaisella torilla havainnoijana. Tutkimusongelmana on ”ohipuhuminen”, tiedon luotettavuus ja implisiittien tiedon hyväksyttävyys. Johtopäätöksenä on asiantuntijuuden vahva kontekstisidonnaisuus hetkeen ja paikkaan ja yhteisen kielen (vrt. transdisiplinaarisuus) löytyminen yhteisen tavoitteen saavuttamiseksi. Merkittäviä välineitä vuorovaikutuksen onnistumiseen ovat esimerkiksi yhteinen vahva tavoitetila, interkatio, joka koskee läsnä olevia ihmisiä ei instituutioita sekä fasilitaattorin vahva rooli tulkkina ja välittäjänä. Neljäs tarina (luku 5) vie agoran konkretiaan. Tässä luvussa on kehitetty eläytymiskävely- menetelmää, jossa fasilitaattori (tutkija) johdattaa Espoon keskuksessa hallinnon, politiikan, asukkaiden ja konsultin edustajat aistimaan ja tulkitsemaan alueen sosiaalista tilaa, toiminnallisuutta ja elämyksellisyyttä. Ongelmana on aistimaailman asiantuntemuksen hyödyntämättömyys yhdyskuntasuunnittelun välineenä mm. asiantuntijoiden vuorovaikutuksen välineenä. Menetelmäkehitys on aluillaan, mutta jo tässä tapauksessa käy ilmi, että jaettu tila, jaetut aistikokemukset konkreettisella kävelyllä avaavaat vuorovaikutuksen uusiin ulottuvuuksiin, jossa implisiittiselle asiantuntemukselle annetaan sijansa vuorovaikutuksessa ja tätä kautta voidaan vaikuttaa myös tehtäviin päätöksiin, toimenpiteisiin. Johtopäätöksissä (luku 6) korostuu implisiittisen asiantuntijuuden merkitys. Onnistunut vuorovaikutteinen toiminta eri asiantuntijoiden kesken esimerkiksi erilaisia ympäristöongelmia –ja ilmiöitä ratkottaessa ja pohdittaessa vaatii vuorovaikutusosaamista. Tutkimuksen lopuksi suositellaan esimerkiksi ennakkoluulottomia avauksia agoralla. Asiantuntijuus ei ole yksi ja vain asiaatuntevuus on mahdollista. Agora on jatkuvassa liikkeessä ja juuri siinä piilee voimavara tulevaisuuden haasteisiin erilaisilla rajapinnoilla. Avainsanat: asiantuntijuus, vuorovaikutus, tieto, konteksti, agora

Opettajien teknologiasuhteen luonne ja muodostuminen

This study investigates primary and secondary school teachers’ social representations and ways to conceptualise new technologies. The focus is both on teachers’ descriptions, interpretations and conceptions of technology and on the adoption and formation of these conceptions. In addition, the purpose of this study is to analyse how the national objectives of the information society and the implementation of information and communication technologies (ICT) in schools reflect teachers’ thinking and everyday practices. The starting point for the study is the idea of a dynamic and mutual relationship between teachers and technology so that technology does not affect one-sidedly teachers’ thinking. This relationship is described in this study as the teachers’ technology relationship. This concept emphasises that technology cannot be separated from society, social relations and the context where it is used but it is intertwined with societal practices and is therefore formed in interaction with the material and social factors. The theoretical part of this study encompasses three different research traditions: 1) the social shaping of technology, 2) research on how schools and teachers use technology and 3) social representations theory. The study was part of the Helmi Project (Holistic development of e-Learning and business models) in 2001–2005 at the Helsinki University of Technology, SimLab research unit. The Helmi Project focused on different aspects of the utilisation of ICT in teaching. The research data consisted of interviews of teachers and principals. Altogether 37 interviews were conducted in 2003 and 2004 in six different primary and secondary schools in Espoo, Finland. The data was analysed applying grounded theory. The results showed that the teachers’ technology relationship was diverse and context specific. Technology was interpreted differently depending on the context: the teachers’ technology related descriptions and metaphors illustrated on one hand the benefits and the possibilities and on the other hand the problems and threats of different technologies. The dualist nature of technology was also expressed in the teachers’ thinking about technology as a deterministic and irrevocable force and as a controllable and functional tool at the same time. Teachers did not consider technology as having a stable character but they interpreted technology in relation to the variable context of use. This way they positioned or anchored technology into their everyday practices. The study also analysed the formation of the teachers’ technology relationship and the ways teachers familiarise themselves with new technologies. Comparison of different technologies as well as technology related metaphors turned out to be significant in forming the technology relationship. Also the ways teachers described the familiarisation process and the interpretations of their own technical skills affected the formation of technology relationship. In addition, teachers defined technology together with other teachers, and the discussions reflected teachers’ interpretations and descriptions.

Stability of scheduled multi-access communication over quasi-static flat fading channels with random coding and independent decoding

The stability of scheduled multiaccess communication with random coding and independent decoding of messages is investigated. The number of messages that may be scheduled for simultaneous transmission is limited to a given maximum value, and the channels from transmitters to receiver are quasistatic, flat, and have independent fades. Requests for message transmissions are assumed to arrive according to an i.i.d. arrival process. Then, we show the following: (1) in the limit of large message alphabet size, the stability region has an interference limited information-theoretic capacity interpretation, (2) state-independent scheduling policies achieve this asymptotic stability region, and (3) in the asymptotic limit corresponding to immediate access, the stability region for non-idling scheduling policies is shown to be identical irrespective of received signal powers.

Optimal threshold policies for admission control in communication networks via discrete parameter stochastic approximation

The problem of admission control of packets in communication networks is studied in the continuous time queueing framework under different classes of service and delayed information feedback. We develop and use a variant of a simulation based two timescale simultaneous perturbation stochastic approximation (SPSA) algorithm for finding an optimal feedback policy within the class of threshold type policies. Even though SPSA has originally been designed for continuous parameter optimization, its variant for the discrete parameter case is seen to work well. We give a proof of the hypothesis needed to show convergence of the algorithm on our setting along with a sketch of the convergence analysis. Extensive numerical experiments with the algorithm are illustrated for different parameter specifications. In particular, we study the effect of feedback delays on the system performance.

Boundary value problems for third-order nonlinear ordinary differential equations

In this paper, we describe how to analyze boundary value problems for third-order nonlinear ordinary differential equations over an infinite interval. Several physical problems of interest are governed by such systems. The seminumerical schemes described here offer some advantages over solutions obtained by using traditional methods such as finite differences, shooting method, etc. These techniques also reveal the analytic structure of the solution function. For illustrative purposes, several physical problems, mainly drawn from fluid mechanics, are considered; they clearly demonstrate the efficiency of the techniques presented here.

Construing and Defining the Out of Control : Addiction in the Media 1968-2008.

The four scientific articles comprising this doctoral dissertation offer new information on the presentation and construction of addiction in the mass media during the period 1968 - 2008. Diachronic surveys as well as quantitative and qualitative content analyses were undertaken to discern trends during the period in question and to investigate underlying conceptions of the problems in contemporary media presentations. The research material for the first three articles consists of a sample of 200 texts from Finland s biggest daily newspaper, Helsingin Sanomat, from the period 1968 - 2006. The fourth study examines English-language tabloid material published on the Internet in 2005 - 2008. A number of principal trends are identified. In addition to a significant increase in addiction reporting over time, the study shows that an internalisation of addiction problems took place in the media presentations under study. The phenomenon is portrayed and tackled from within the problems themselves, often from the viewpoint of the individuals concerned. The tone becomes more personal, and technical and detailed accounts are more and more frequent. Secondly, the concept of addiction is broadened. This can be dated to the 1990s. The concept undergoes a conventionalisation: it is used more frequently in a manner that is not thought to require explanation. The word riippuvuus (the closest equivalent to addiction in Finnish) was adopted more commonly in the reporting at the same time, in the 1990s. Thirdly, the results highlight individual self-governance as a superordinate principle in contemporary descriptions of addiction. If the principal demarcation in earlier texts was between us and them , it is now focused primarily on the individual s competence and ability to govern the self, to restrain and master one's behaviour. Finally, in the fourth study investigating textual constructions of female celebrities (Amy Winehouse, Britney Spears and Kate Moss) in Internet tabloids, various relations and functions of addiction problems, intoxication, body and gender were observed to function as cultural symbols. Addiction becomes a sign, or a style, that represents different significations in relation to the main characters in the tabloid stories. Tabloids, as a genre, play an important role by introducing other images of the problems than those featured in mainstream media. The study is positioned within the framework of modernity theory and its views on the need for self-reflexivity and biographies as tools for the creation and definition of the self. Traditional institutions such as the church, occupation, family etc. no longer play an important role in self-definition. This circumstance creates a need for a culture conveying stories of success and failure in relation to which the individual can position their own behaviour and life content. I propose that addiction , as a theme in media reporting, resolves the conflict that emanates from the ambivalence between the accessibility and the individualisation of consumer society, on the one hand, and the problematic behavioural patterns (addictions) that they may induce, on the other.

On the ignition and extinction problems in forced convection systems

In this paper the problem of ignition and extinction has been formulated for the flow of a compressible fluid with Prandtl and Schmidt numbers taken as unity. In particular, the problems of (i) a jet impinging on a wall of combustible material and (ii) the opposed jet diffusion flame have been studied. In the wall jet case, three approximations in the momentum equation namely, (i) potential flow, (ii) viscous flow, (ii) viscous incompressible with k = 1 and (iii) Lees' approximation (taking pressure gradient terms zero) are studied. It is shown that the predictions of the mass flow rates at extinction are not very sensitive to the approximations made in the momentum equation. The effects of varying the wall temperature in the case (i) and the jet temperature in the case (ii) on the extinction speeds have been studied. The effects of varying the activation energy and the free stream oxidant concentration in case (ii), have also been investigated.

A semi-experimental approach to plane problems in elasticity

A semi-experimental approach to solve two-dimensional problems in elasticity is given. The method has been applied to two problems, (i) a square deep beam, and (ii) a bridge pier with a sloping boundary. For the first problem sufficient analytical results are available and hence the accuracy of the method can be verified. Then the method has been extended to the second problem for which sufficient results are not available.

Relationships in food chains: an empirical examination of trust, commitment and communication

This report derives from the EU funded research project “Key Factors Influencing Economic Relationships and Communication in European Food Chains” (FOODCOMM). The research consortium consisted of the following organisations: University of Bonn (UNI BONN), Department of Agricultural and Food Marketing Research (overall project co-ordination); Institute of Agricultural Development in Central and Eastern Europe (IAMO), Department for Agricultural Markets, Marketing and World Agricultural Trade, Halle (Saale), Germany; University of Helsinki, Ruralia Institute Seinäjoki Unit, Finland; Scottish Agricultural College (SAC), Food Marketing Research Team - Land Economy Research Group, Edinburgh and Aberdeen; Ashtown Food Research Centre (AFRC), Teagasc, Food Marketing Unit, Dublin; Institute of Agricultural & Food Economics (IAFE), Department of Market Analysis and Food Processing, Warsaw and Government of Aragon, Center for Agro-Food Research and Technology (CITA), Zaragoza, Spain. The aim of the FOODCOMM project was to examine the role (prevalence, necessity and significance) of economic relationships in selected European food chains and to identify the economic, social and cultural factors which influence co-ordination within these chains. The research project considered meat and cereal commodities in six different European countries (Finland, Germany, Ireland, Poland, Spain, UK/Scotland) and was commissioned against a background of changing European food markets. The research project as a whole consisted of seven different work packages. This report presents the results of qualitative research conducted for work package 5 (WP5) in the pig meat and rye bread chains in Finland. Ruralia Institute would like to give special thanks for all the individuals and companies that kindly gave up their time to take part in the study. Their input has been invaluable to the project. The contribution of research assistant Sanna-Helena Rantala was significant in the data gathering. FOODCOMM project was coordinated by the University of Bonn, Department of Agricultural and Food Market Research. Special thanks especially to Professor Monika Hartmann for acting as the project leader of FOODCOMM.

Key Factors Influencing Economic Relationships and Communication in Finnish Food Chains

The aim of this report is to discuss the role of the relationship type and communication in two Finnish food chains, namely the pig meat-to-sausage (pig meat chain) and the cereal-to-rye bread (rye chain) chains. Furthermore, the objective is to examine those factors influencing the choice of a relationship type and the sustainability of a business relationship. Altogether 1808 questionnaires were sent to producers, processors and retailers operating in these two chains of which 224 usable questionnaires were returned (the response rate being 12.4%). The great majority of the respondents (98.7%) were small businesses employing less than 50 people. Almost 70 per cent of the respondents were farmers. In both chains, formal contracts were stated to be the most important relationship type used with business partners. Although for many businesses written contracts are a common business practice, the essential role of the contracts was the security they provide regarding the demand/supply and quality issues. Relative to the choice of the relationship types, the main difference between the two chains emerged especially with the prevalence of spot markets and financial participation arrangements. The usage of spot markets was significantly more common in the rye chain when compared to the pig meat chain, while, on the other hand, financial participation arrangements were much more common among the businesses in the pig meat chain than in the rye chain. Furthermore, the analysis showed that most of the businesses in the pig meat chain claimed not to be free to choose the relationship type they use. Especially membership in a co-operative and practices of a business partner were mentioned as the reasons limiting this freedom of choice. The main business relations in both chains were described as having a long-term orientation and being based on formal written contracts. Typical for the main business relationships was also that they are not based on the existence of the key persons only; the relationship would remain even if the key people left the business. The quality of these relationships was satisfactory in both chains and across all the stakeholder groups, though the downstream processors and the retailers had a slightly more positive view on their main business partners than the farmers and the upstream processors. The businesses operating in the pig meat chain seemed also to be more dependent on their main business relations when compared to the businesses in the rye chain. Although the communication means were rather similar in both chains (the phone being the most important), there was some variation between the chains concerning the communication frequency necessary to maintain the relationship with the main business partner. In short, the businesses in the pig meat chain seemed to appreciate more frequent communication with their main business partners when compared to the businesses in the rye chain. Personal meetings with the main business partners were quite rare in both chains. All the respondent groups were, however, fairly satisfied with the communication frequency and information quality between them and the main business partner. The business cultures could be argued to be rather hegemonic among the businesses both in the pig meat and rye chains. Avoidance of uncertainty, appreciation of long-term orientation and independence were considered important factors in the business cultures. Furthermore, trust, commitment and satisfaction in business partners were thought to be essential elements of business operations in all the respondent groups. In order to investigate which factors have an effect on the choice of a relationship type, several hypotheses were tested by using binary and multinomial logit analyses. According to these analyses it could be argued that avoidance of uncertainty and risk has a certain effect on the relationship type chosen, i.e. the willingness to avoid uncertainty increases the probability to choose stable relationships, like repeated market transactions and formal written contracts, but not necessary those, which require high financial commitment (like financial participation arrangements). The probability of engaging in financial participation arrangements seemed to increase with long-term orientation. The hypotheses concerning the sustainability of the economic relations were tested by using structural equation model (SEM). In the model, five variables were found to have a positive and statistically significant impact on the sustainable economic relationship construct. Ordered relative to their importance, those factors are: (i) communication quality, (ii) personal bonds, (iii) equal power distribution, (iv) local embeddedness and (v) competition.

Estimation of the critical viscous sublayer in heat transfer problems

Imagining a disturbance made on a compressible boundary layer with the help of a heat source, the critical viscous sublayer, through which the skin friction at any point on a surface is connected with the heat transferred from a heated element embedded in it, has been estimated. Under similar conditions of external flow (Ray1)) the ratio of the critical viscous sublayer to the undisturbed boundary layer thickness is about one-tenth in the laminar case and one hundredth in the turbulent case. These results are similar to those (cf.1)) found in shock wave boundary layer interaction problems.