38 resultados para Weakly Singular-integrals


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This thesis consists of three articles on Orlicz-Sobolev capacities. Capacity is a set function which gives information of the size of sets. Capacity is useful concept in the study of partial differential equations, and generalizations of exponential-type inequalities and Lebesgue point theory, and other topics related to weakly differentiable functions such as functions belonging to some Sobolev space or Orlicz-Sobolev space. In this thesis it is assumed that the defining function of the Orlicz-Sobolev space, the Young function, satisfies certain growth conditions. In the first article, the null sets of two different versions of Orlicz-Sobolev capacity are studied. Sufficient conditions are given so that these two versions of capacity have the same null sets. The importance of having information about null sets lies in the fact that the sets of capacity zero play similar role in the Orlicz-Sobolev space setting as the sets of measure zero do in the Lebesgue space and Orlicz space setting. The second article continues the work of the first article. In this article, it is shown that if a Young function satisfies certain conditions, then two versions of Orlicz-Sobolev capacity have the same null sets for its complementary Young function. In the third article the metric properties of Orlicz-Sobolev capacities are studied. It is usually difficult or impossible to calculate a capacity of a set. In applications it is often useful to have estimates for the Orlicz-Sobolev capacities of balls. Such estimates are obtained in this paper, when the Young function satisfies some growth conditions.

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We consider an obstacle scattering problem for linear Beltrami fields. A vector field is a linear Beltrami field if the curl of the field is a constant times itself. We study the obstacles that are of Neumann type, that is, the normal component of the total field vanishes on the boundary of the obstacle. We prove the unique solvability for the corresponding exterior boundary value problem, in other words, the direct obstacle scattering model. For the inverse obstacle scattering problem, we deduce the formulas that are needed to apply the singular sources method. The numerical examples are computed for the direct scattering problem and for the inverse scattering problem.

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Frictions are factors that hinder trading of securities in financial markets. Typical frictions include limited market depth, transaction costs, lack of infinite divisibility of securities, and taxes. Conventional models used in mathematical finance often gloss over these issues, which affect almost all financial markets, by arguing that the impact of frictions is negligible and, consequently, the frictionless models are valid approximations. This dissertation consists of three research papers, which are related to the study of the validity of such approximations in two distinct modeling problems. Models of price dynamics that are based on diffusion processes, i.e., continuous strong Markov processes, are widely used in the frictionless scenario. The first paper establishes that diffusion models can indeed be understood as approximations of price dynamics in markets with frictions. This is achieved by introducing an agent-based model of a financial market where finitely many agents trade a financial security, the price of which evolves according to price impacts generated by trades. It is shown that, if the number of agents is large, then under certain assumptions the price process of security, which is a pure-jump process, can be approximated by a one-dimensional diffusion process. In a slightly extended model, in which agents may exhibit herd behavior, the approximating diffusion model turns out to be a stochastic volatility model. Finally, it is shown that when agents' tendency to herd is strong, logarithmic returns in the approximating stochastic volatility model are heavy-tailed. The remaining papers are related to no-arbitrage criteria and superhedging in continuous-time option pricing models under small-transaction-cost asymptotics. Guasoni, Rásonyi, and Schachermayer have recently shown that, in such a setting, any financial security admits no arbitrage opportunities and there exist no feasible superhedging strategies for European call and put options written on it, as long as its price process is continuous and has the so-called conditional full support (CFS) property. Motivated by this result, CFS is established for certain stochastic integrals and a subclass of Brownian semistationary processes in the two papers. As a consequence, a wide range of possibly non-Markovian local and stochastic volatility models have the CFS property.

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The module of a quadrilateral is a positive real number which divides quadrilaterals into conformal equivalence classes. This is an introductory text to the module of a quadrilateral with some historical background and some numerical aspects. This work discusses the following topics: 1. Preliminaries 2. The module of a quadrilateral 3. The Schwarz-Christoffel Mapping 4. Symmetry properties of the module 5. Computational results 6. Other numerical methods Appendices include: Numerical evaluation of the elliptic integrals of the first kind. Matlab programs and scripts and possible topics for future research. Numerical results section covers additive quadrilaterals and the module of a quadrilateral under the movement of one of its vertex.

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Satanism in the Finnish Youth Culture of the 1990s The aim of this study was to investigate Satanism among Finnish youth in the 1990s. Thematic interviews of young Finnish Satanists are the basic material of this study. The research employs a theoretical framework derived from narrative psychology and the role-theoretical thinking of Dan P. McAdams. The young Satanists in Finland have been divided into two different groups: the criminal and drug using "devil-worshipping gangs"; and the more educated and philosophically oriented "Satanists" (Heino 1993). What can we say about this division? In the 1990s around Finland, there were young people calling themselves as devil- worshippers (either singular or in groups). They were strongly committed to a mythical devilish and cosmic battle, which they believed was going on in this world. They had problems with their mental health, also in their family socialization and peer groups. In their personal attitudes they were either active fighters or passive tramps. There were also rationally oriented young Satanists, that were ritually active and mainly atheistic. They strongly expressed their personal experiences of being individual and of being different than others. In their personal attitudes they were critical fighters and active survivors. They saw their lives through the satanistic 'finding-oneself experience'. They understood themselves as a "postmodern tribe" (Michel Maffesoli's sosiocultural concept): their sense of themselves was that of a dynamic collectivity which is social, dynamic, nonlocal and mythically historical. Death and black metal culture in the 1990s formed a common space for youth culture, where young individuals could work out their feelings and express their attitudes to life using dark satanic themes and symbols. The sense of "otherness" (also other than satanic) and collective demands for authenticity were essential tools that were used for identity work here. Personal disengagement from satanic/satanistic groups were observed to be gradual or quite rapid. Religious conversions back-and-forth also accured. At the end of the 1990s all off satanism in Finland bore a negative devil-worshipping stigma. Ritual homicide in South-Finland (Kerava/Hyvinkää) was connected to Satanism, which then became unpopular both in the personal life stories and alternative youth cultural circles at the beginning of the 2000s.

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This thesis aims at finding the role of deposit insurance scheme and central bank (CB) in keeping the banking system safe. The thesis also studies the factors associated with long-lasting banking crises. The first essay analyzes the effect of using explicit deposit insurance scheme (EDIS), instead of using implicit deposit insurance scheme (IDIS), on banking crises. The panel data for the period of 1980-2003 includes all countries for which the data on EDIS or IDIS exist. 70% of the countries in the sample are less developed countries (LDCs). About 55% of the countries adopting EDIS also come from LDCs. The major finding is that the using of EDIS increases the crisis probability at a strong significance level. This probability is greater if the EDIS is inefficiently designed allowing higher scope of moral hazard problem. Specifically, the probability is greater if the EDIS provides higher coverage to deposits and if it is less powerful from the legal point of view. This study also finds that the less developed a country is to handle EDIS, the higher the chance of banking crisis. Once the underdevelopment of an economy handling the EDIS is controlled, the EDIS separately is no longer a significant factor of banking crises. The second essay aims at determining whether a country s powerful CB can lessen the instability of the banking sector by minimizing the likelihood of a banking crisis. The data used include indicators of the CB s autonomy for a set of countries over the period of 1980-89. The study finds that in aggregate a more powerful CB lessens the probability of banking crisis. When the CB s authority is disentangled with respect to its responsibilities, the study finds that the longer tenure of CB s chief executive officer and the greater power of CB in assigning interest rate on government loans are necessary for reducing the probability of banking crisis. The study also finds that the probability of crisis reduces more if an autonomous CB can perform its duties in a country with stronger law and order tradition. The costs of long-lasting banking crises are high because both the depositors and the investors lose confidence in the banking system. For a rapid recovery of a crisis, the government very often undertakes one or more crisis resolution policy (CRP) measures. The third essay examines the CRP and other explanatory variables correlated with the durations of banking crises. The major finding is that the CRP measure allowing the regulation forbearance to keep the insolvent banks operative and the public debt relief program are respectively strongly and weakly significant to increase the durations of crises. Some other explanatory variables, which were found by previous studies to be related with the probability of crises to occur, are also correlated with the durations of crises.

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Nuclear magnetic resonance (NMR) spectroscopy provides us with many means to study biological macromolecules in solution. Proteins in particular are the most intriguing targets for NMR studies. Protein functions are usually ascribed to specific three-dimensional structures but more recently tails, long loops and non-structural polypeptides have also been shown to be biologically active. Examples include prions, -synuclein, amylin and the NEF HIV-protein. However, conformational preferences in coil-like molecules are difficult to study by traditional methods. Residual dipolar couplings (RDCs) have opened up new opportunities; however their analysis is not trivial. Here we show how to interpret RDCs from these weakly structured molecules. The most notable residual dipolar couplings arise from steric obstruction effects. In dilute liquid crystalline media as well as in anisotropic gels polypeptides encounter nematogens. The shape of a polypeptide conformation limits the encounter with the nematogen. The most elongated conformations may come closest whereas the most compact remain furthest away. As a result there is slightly more room in the solution for the extended than for the compact conformations. This conformation-dependent concentration effect leads to a bias in the measured data. The measured values are not arithmetic averages but essentially weighted averages over conformations. The overall effect can be calculated for random flight chains and simulated for more realistic molecular models. Earlier there was an implicit thought that weakly structured or non-structural molecules would not yield to any observable residual dipolar couplings. However, in the pioneering study by Shortle and Ackerman RDCs were clearly observed. We repeated the study for urea-denatured protein at high temperature and also observed indisputably RDCs. This was very convincing to us but we could not possibly accept the proposed reason for the non-zero RDCs, namely that there would be some residual structure left in the protein that to our understanding was fully denatured. We proceeded to gain understanding via simulations and elementary experiments. In measurements we used simple homopolymers with only two labelled residues and we simulated the data to learn more about the origin of RDCs. We realized that RDCs depend on the position of the residue as well as on the length of the polypeptide. Investigations resulted in a theoretical model for RDCs from coil-like molecules. Later we extended the studies by molecular dynamics. Somewhat surprisingly the effects are small for non-structured molecules whereas the bias may be large for a small compact protein. All in all the work gave clear and unambiguous results on how to interpret RDCs as structural and dynamic parameters of weakly structured proteins.

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Background: The incidence of all forms of congenital heart defects is 0.75%. For patients with congenital heart defects, life-expectancy has improved with new treatment modalities. Structural heart defects may require surgical or catheter treatment which may be corrective or palliative. Even those with corrective therapy need regular follow-up due to residual lesions, late sequelae, and possible complications after interventions. Aims: The aim of this thesis was to evaluate cardiac function before and after treatment for volume overload of the right ventricle (RV) caused by atrial septal defect (ASD), volume overload of the left ventricle (LV) caused by patent ductus arteriosus (PDA), and pressure overload of the LV caused by coarctation of the aorta (CoA), and to evaluate cardiac function in patients with Mulibrey nanism. Methods: In Study I, of the 24 children with ASD, 7 underwent surgical correction and 17 percutaneous occlusion of ASD. Study II had 33 patients with PDA undergoing percutaneous occlusion. In Study III, 28 patients with CoA underwent either surgical correction or percutaneous balloon dilatation of CoA. Study IV comprised 26 children with Mulibrey nanism. A total of 76 healthy voluntary children were examined as a control group. In each study, controls were matched to patients. All patients and controls underwent clinical cardiovascular examinations, two-dimensional (2D) and three-dimensional (3D) echocardiographic examinations, and blood sampling for measurement of natriuretic peptides prior to the intervention and twice or three times thereafter. Control children were examined once by 2D and 3D echocardiography. M-mode echocardiography was performed from the parasternal long axis view directed by 2D echocardiography. The left atrium-to-aorta (LA/Ao) ratio was calculated as an index of LA size. The end-diastolic and end-systolic dimensions of LV as well as the end-diastolic thicknesses of the interventricular septum and LV posterior wall were measured. LV volumes, and the fractional shortening (FS) and ejection fraction (EF) as indices of contractility were then calculated, and the z scores of LV dimensions determined. Diastolic function of LV was estimated from the mitral inflow signal obtained by Doppler echocardiography. In three-dimensional echocardiography, time-volume curves were used to determine end-diastolic and end-systolic volumes, stroke volume, and EF. Diastolic and systolic function of LV was estimated from the calculated first derivatives of these curves. Results: (I): In all children with ASD, during the one-year follow-up, the z score of the RV end-diastolic diameter decreased and that of LV increased. However, dilatation of RV did not resolve entirely during the follow-up in either treatment group. In addition, the size of LV increased more slowly in the surgical subgroup but reached control levels in both groups. Concentrations of natriuretic peptides in patients treated percutaneously increased during the first month after ASD closure and normalized thereafter, but in patients treated surgically, they remained higher than in controls. (II): In the PDA group, at baseline, the end-diastolic diameter of LV measured over 2SD in 5 of 33 patients. The median N-terminal pro-brain natriuretic peptide (proBNP) concentration before closure measured 72 ng/l in the control group and 141 ng/l in the PDA group (P = 0.001) and 6 months after closure measured 78.5 ng/l (P = NS). Patients differed from control subjects in indices of LV diastolic and systolic function at baseline, but by the end of follow-up, all these differences had disappeared. Even in the subgroup of patients with normal-sized LV at baseline, the LV end-diastolic volume decreased significantly during follow-up. (III): Before repair, the size and wall thickness of LV were higher in patients with CoA than in controls. Systolic blood pressure measured a median 123 mm Hg in patients before repair (P < 0.001) and 103 mm Hg one year thereafter, and 101 mm Hg in controls. The diameter of the coarctation segment measured a median 3.0 mm at baseline, and 7.9 at the 12-month (P = 0.006) follow-up. Thicknesses of the interventricular septum and posterior wall of the LV decreased after repair but increased to the initial level one year thereafter. The velocity time integrals of mitral inflow increased, but no changes were evident in LV dimensions or contractility. During follow-up, serum levels of natriuretic peptides decreased correlating with diastolic and systolic indices of LV function in 2D and 3D echocardiography. (IV): In 2D echocardiography, the interventricular septum and LV posterior wall were thicker, and velocity time integrals of mitral inflow shorter in patients with Mulibrey nanism than in controls. In 3D echocardiography, LV end-diastolic volume measured a median 51.9 (range 33.3 to 73.4) ml/m² in patients and 59.7 (range 37.6 to 87.6) ml/m² in controls (P = 0.040), and serum levels of ANPN and proBNP a median 0.54 (range 0.04 to 4.7) nmol/l and 289 (range 18 to 9170) ng/l, in patients and 0.28 (range 0.09 to 0.72) nmol/l (P < 0.001) and 54 (range 26 to 139) ng/l (P < 0.001) in controls. They correlated with several indices of diastolic LV function. Conclusions (I): During the one-year follow-up after the ASD closure, RV size decreased but did not normalize in all patients. The size of the LV normalized after ASD closure but the increase in LV size was slower in patients treated surgically than in those treated with the percutaneous technique. Serum levels of ANPN and proBNP were elevated prior to ASD closure but decreased thereafter to control levels in patients treated with the percutaneous technique but not in those treated surgically. (II): Changes in LV volume and function caused by PDA disappeared by 6 months after percutaneous closure. Even the children with normal-sized LV benefited from the procedure. (III): After repair of CoA, the RV size and the velocity time integrals of mitral inflow increased, and serum levels of natriuretic peptides decreased. Patients need close follow-up, despite cessation of LV pressure overload, since LV hypertrophy persisted even in normotensive patients with normal growth of the coarctation segment. (IV): In children with Mulibrey nanism, the LV wall was hypertrophied, with myocardial restriction and impairment of LV function. Significant correlations appeared between indices of LV function, size of the left atrium, and levels of natriuretic peptides, indicating that measurement of serum levels of natriuretic peptides can be used in the clinical follow-up of this patient group despite its dependence on loading conditions.

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The wave functions of moving bound states may be expected to contract in the direction of motion, in analogy to a rigid rod in classical special relativity, when the constituents are at equal (ordinary) time. Indeed, the Lorentz contraction of wave functions is often appealed to in qualitative discussions. However, only few field theory studies exist of equal-time wave functions in motion. In this thesis I use the Bethe-Salpeter formalism to study the wave function of a weakly bound state such as a hydrogen atom or positronium in a general frame. The wave function of the e^-e^+ component of positronium indeed turns out to Lorentz contract both in 1+1 and in 3+1 dimensional quantum electrodynamics, whereas the next-to-leading e^-e^+\gamma Fock component of the 3+1 dimensional theory deviates from classical contraction. The second topic of this thesis concerns single spin asymmetries measured in scattering on polarized bound states. Such spin asymmetries have so far mainly been analyzed using the twist expansion of perturbative QCD. I note that QCD vacuum effects may give rise to a helicity flip in the soft rescattering of the struck quark, and that this would cause a nonvanishing spin asymmetry in \ell p^\uparrow -> \ell' + \pi + X in the Bjorken limit. An analogous asymmetry may arise in p p^\uparrow -> \pi + X from Pomeron-Odderon interference, if the Odderon has a helicity-flip coupling. Finally, I study the possibility that the large single spin asymmetry observed in p p^\uparrow -> \pi(x_F,k_\perp) + X when the pion carries a high momentum fraction x_F of the polarized proton momentum arises from coherent effects involving the entire polarized bound state.

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In this thesis acceleration of energetic particles at collisionless shock waves in space plasmas is studied using numerical simulations, with an emphasis on physical conditions applicable to the solar corona. The thesis consists of four research articles and an introductory part that summarises the main findings reached in the articles and discusses them with respect to theory of diffusive shock acceleration and observations. This thesis gives a brief review of observational properties of solar energetic particles and discusses a few open questions that are currently under active research. For example, in a few large gradual solar energetic particle events the heavy ion abundance ratios and average charge states show characteristics at high energies that are typically associated with flare-accelerated particles, i.e. impulsive events. The role of flare-accelerated particles in these and other gradual events has been discussed a lot in the scientific community, and it has been questioned if and how the observed features can be explained in terms of diffusive shock acceleration at shock waves driven by coronal mass ejections. The most extreme solar energetic particle events are the so-called ground level enhancements where particle receive so high energies that they can penetrate all the way through Earth's atmosphere and increase radiation levels at the surface. It is not known what conditions are required for acceleration into GeV/nuc energies, and the presence of both very fast coronal mass ejections and X-class solar flares makes it difficult to determine what is the role of these two accelerators in ground level enhancements. The theory of diffusive shock acceleration is reviewed and its predictions discussed with respect to the observed particle characteristics. We discuss how shock waves can be modeled and describe in detail the numerical model developed by the author. The main part of this thesis consists of the four scientific articles that are based on results of the numerical shock acceleration model developed by the author. The novel feature of this model is that it can handle complex magnetic geometries which are found, for example, near active regions in the solar corona. We show that, according to our simulations, diffusive shock acceleration can explain the observed variations in abundance ratios and average charge states, provided that suitable seed particles and magnetic geometry are available for the acceleration process in the solar corona. We also derive an injection threshold for diffusive shock acceleration that agrees with our simulation results very well, and which is valid under weakly turbulent conditions. Finally, we show that diffusive shock acceleration can produce GeV/nuc energies under suitable coronal conditions, which include the presence of energetic seed particles, a favourable magnetic geometry, and an enhanced level of ambient turbulence.

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There is a relative absence of sociological and cultural research on how people deal with the death of a family member in the contemporary western societies. Research on this topic has been dominated by the experts of psychology, psychiatry and therapy, who mention the social context only in passing, if at all. This gives an impression that the white westerners bereavement experience is a purely psychological phenomenon, an inner journey, which follows a natural, universal path. Yet, as Tony Walter (1999) states, ignoring the influence of culture not only impoverishes the understanding of those work with bereaved people, but it also impoverishes sociology and cultural studies by excluding from their domain a key social phenomenon. This study explores the cultural dimension of grief through narratives told by fifteen of recently bereaved Finnish women. Focussing on one sex only, the study rests on the assumption of the gendered nature of bereavement experience. However, the aim of the study is not to pinpoint the gender differences in grief and mourning, but to shed light on women s ways of dealing with the loss of a loved one in a social context. Furthermore, the study focuses on a certain kind of loss: the death of an elderly parent. Due to the growth in the life expectancy rate, this has presumably become the most typical type of bereavement in contemporary, ageing societies. Most of population will face the death of a parent as they reach the middle years of the life course. The data of this study is gathered with interviews, in which the interviewees were invited to tell a narrative of their bereavement. Narrative constitutes a central concept in this study. It refers to a particular form of talk, which is organised around consequential events. But there are also other, deeper layers that have been added to this concept. Several scholars see narratives as the most important way in which we make sense of experience. Personal narratives provide rich material for mapping the interconnections between individual and culture. As a form of thought, narrative marries singular circumstances with shared expectations and understandings that are learned through participation in a specific culture (Garro & Mattingly 2000). This study attempts to capture the cultural dimension of narrative with the concept of script , which originates in cognitive science (Schank & Abelson 1977) and has recently been adopted to narratology (Herman 2002). Script refers to a data structure that informs how events usually unfold in certain situations. Scripts are used in interpreting events and representing them verbally to others. They are based on dominant forms of knowledge that vary according to time and place. The questions that were posed in this study are the following. What kind of experiences bereaved daughters narrate? What kind of cultural scripts they employ as they attempt to make sense of these experiences? How these scripts are used in their narratives? It became apparent that for the most of the daughters interviewed in this study the single most important part of the bereavement narrative was to form an account of how and why the parent died. They produced lengthy and detailed descriptions of the last stage of a parent s life in contrast with the rest of the interview. These stories took their start from a turn in the parent s physical condition, from which the dying process could in retrospect be seen to have started, and which often took place several years before the death. In addition, daughters also talked about their grief reactions and how they have adjusted to a life without the deceased parent. The ways in which the last stage of life was told reflect not only the characteristic features of late modernity but also processes of marginalisation and exclusion. Revivalist script and medical script, identified by Clive Seale as the dominant, competing models for dying well in the late modern societies, were not widely utilised in the narratives. They could only be applied in situations in which the parent had died from cancer and at somewhat younger age than the average. Death that took place in deep old age was told in a different way. The lack of positive models for narrating this kind of death was acknowledged in the study. This can be seen as a symptom of the societal devaluing of the deaths of older people and it affects also daughters accounts of their grief. Several daughters told about situations in which their loss, although subjectively experienced, was nonetheless denied by other people.

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The study in its entirety focused on factors related to adolescents decisions concerning drug use. The term drug use is taken here to include the use of tobacco products, alcohol, narcotics, and other addictive substances. First, the reasons given for drug use (attributions) were investigated. Secondly, the influence of personal goals, the beliefs involved in decision making, psychosocial adjustment including body image and involvement with peers, and parental relationships on drug use were studied. Two cohorts participated in the study. In 1984, a questionnaire on reasons for drug use was administered to a sample of adolescents aged 14-16 (N=396). A further questionnaire was administered to another sample of adolescents aged 14-16 (N=488) in 1999. The results for both cohorts were analyzed in Articles I and II. In Articles III and IV further analysis was carried out on the second cohort (N=488). The research report presented here provides a synthesis of all four articles, together with material from a further analysis. In a comparison of the two cohorts it was found that the attributions for drug use had changed considerably over the intervening fifteen-year period. In relation to alcohol and narcotics use an increase was found in reasons involving inner subjective experiences, with mention of the good feeling and fun resulting from alcohol and narcotics use. In addition, the goals of alcohol consumption were increasingly perceived as drinking to get drunk, and for its own sake. The attributions for the adolescents own smoking behavior were quite different from the attributions for smoking by others. The attributions were only weakly influenced by the participants gender or by their smoking habits, either in 1984 or 1999. In relation to participants own smoking, the later questionnaire elicited more mention of inner subjective experiences involving "good feeling. In relation to the perceived reasons for other people s smoking, it elicited more responses connected with the notion of "belonging. In the second sample, the results indicated that the levels of body satisfaction among adolescent girls are lower than those among adolescent boys. Overall, dissatisfaction with one's physical appearance seemed to relate to drug use. Girls were also found to engage in more discussions than boys; this applied to (i) discussion with peers (concerning both intimate and general matters), and (ii) discussion with parents (concerning general matters). However, more than a quarter of the boys (out of the entire population) reported only low intimacy with both parents and peers. If both drinking and smoking were considered, it seemed that girls in particular who reported drinking and smoking also reported high intimacy with parents and peers. Boys who reported drinking and smoking reported only medium intimacy with parents and peers. In addition, having an intimate relationship with one's peers was associated with a greater tendency to drink purely in order to get drunk. Overall, the results seemed to suggest that drug use is connected with a close relationship with peers and (surprisingly) with a close relationship with parents. Nevertheless, there were also indications that to some extent peer relationships can also protect adolescents from smoking and alcohol use. The results, which underline the complexity of adolescent drug use, are taken up in the Discussion section. It may be that body image and/or other identity factors play a more prominent role in all drug use than has previously been acknowledged. It does appear that in the course of planning support campaigns for adolescents at risk of drug use, we should focus more closely on individuals and their inner world. More research on this field is clearly needed, and therefore some ideas for future research are also presented.

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Työntekijöiden henkilökohtaisia arvoja ja niiden yhteyksiä asenteisiin ei ole juuri tutkittu. Tämän tutkimuksen tavoitteena oli selvittää, onko suomalaisessa metalliteollisuuden yrityksen henkilöstön (N=1314) arvojen rakenne S. H. Schwartzin arvoteorian mukainen. Lisäksi tutkittiin arvojen yhteyksiä organisaatiomuutosta koskeviin asenteisiin ja tiedon jakamiseen työyhteisössä. Arvomittarina käytettiin uutta 40-osioista Portrait Value Questionnairea (PVQ). Mittarin validiteetti osoitettiin ver-taamalla nyt kerätyn aineiston arvorakennetta aikaisemmalla mittarilla kerättyihin arvoteorian mukaisiin yliopisto-opiskelijoiden vastauksiin. Organisaatiomuutosta koskevien asenteiden ja tiedonjakamisen mittarit luotiin laadullisissa esitutkimuksissa. Tilastolliset analyysit osoittivat, että toimihenkilöiden ja työntekijöiden arvojen rakenteet noudattivat pääosin Schwartzin teoriaa, mutta turvallisuusarvot sijaitsivat molemmissa ryhmissä universalismin ja hyväntahtoisuuden joukossa. Universalismi ja hyväntahtoisuus ennustivat myönteistä asennetta organisaatiomuutoksia kohtaan, mutta perinteiden ja mielihyvän arvostaminen liittyivät kielteisiin muutosasenteisiin. Sosiaalisia normeja kunnioittavien eli yhdenmukaisuutta arvostavien henkilöiden muut arvot vaikuttivat muutosasenteisiin vähemmän kuin niillä, joille yhdenmukaisuus ei ollut tärkeää. Lisäksi suoriutumisarvon yhteys muutosasenteisiin oli yhdenmukaisuutta arvostavilla henkilöillä positiivinen, mutta niillä, jotka eivät arvostaneet yhdenmukaisuutta, yhteys oli negatiivinen. Itseohjautuvuutta arvostavat henkilöt pitivät työyhteisönsä tiedon jakamista heikompana, kun taas hyväntahtoisuutta ja yhdenmukaisuutta arvostavat pitivät sitä muihin nähden parempana. Suoriutumisarvo oli yhteydessä tiedonjakamiseen vain silloin, kun yhdenmukaisuus oli tärkeää. Työpaikkojen (N=19) keskiarvoja vertailtaessa havaittiin, että ne työpaikat, joissa arvostettiin paljon universalismia, hyväntahtoisuutta ja yhdenmukaisuutta sekä vähän valtaa ja suoriutumista saivat henkilöstöltään parhaat arvioinnit tiedon jakamisesta. Tutkimukseen osallistuneet henkilöt jaettiin työtehtäviensä perusteella kolmeen ammatilliseen ympäristöön: konven-tionaaliseen (mm. taloushallinto), realistiseen (mm. tuotanto) ja yrittäjämäiseen (mm. myynti). Yrittäjämäisessä ammatillisessa ympäristössä toimivat arvostivat enemmän kuin konventionaalisessa ympäristössä toimivat valtaa, itseohjautuvuutta ja suoriutumista. Realistisessa ympäristössä arvostettiin enemmän perinteitä ja mielihyvää kuin yrittäjämäisessä ympäristössä. Ryhmien väliset erot arvoissa johtuivat koulutuksesta, iästä ja sukupuolijakaumasta.

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We consider an obstacle scattering problem for linear Beltrami fields. A vector field is a linear Beltrami field if the curl of the field is a constant times itself. We study the obstacles that are of Neumann type, that is, the normal component of the total field vanishes on the boundary of the obstacle. We prove the unique solvability for the corresponding exterior boundary value problem, in other words, the direct obstacle scattering model. For the inverse obstacle scattering problem, we deduce the formulas that are needed to apply the singular sources method. The numerical examples are computed for the direct scattering problem and for the inverse scattering problem.

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The goals of this study were to analyze the forms of emotional tendencies that are likely to motivate moral behaviors, and to find correlates for these tendencies. In study 1, students narratives of their own guilt or shame experiences were analyzed. The results showed that pure shame was more likely to motivate avoidance than reparation, whereas guilt and combination of guilt and shame were likely to motivate reparation. However, all types of emotion could lead to chronic rumination if the person was not clearly responsible for the situation. In study 2, the relations of empathy with two measures of guilt were examined in a sample of 13- to 16-year-olds (N=113). Empathy was measured using Davis s IRI and guilt by Tangney s TOSCA and Hoffman s semi-projective story completion method that includes two different scenarios, guilt over cheating and guilt over inaction. Empathy correlated more strongly with both measures of guilt than the two measures correlated with each other. Hoffman s guilt over inaction was more strongly associated with empathy measures in girls than in boys, whereas for guilt over cheating the pattern was the opposite. Girls and boys who describe themselves as empathetic may emphasize different aspect of morality and feel guilty in different contexts. In study 3, cultural and gender differences in guilt and shame (TOSCA) and value priorities (the Schwartz Value Survey) were studied in samples of Finnish (N=156) and Peruvian (N=159) adolescents. Gender differences were found to be larger and more stereotypical among the Finns than among the Peruvians. Finnish girls were more prone to guilt and shame than boys were, whereas among the Peruvians there was no gender difference in guilt, and boys were more shame-prone than girls. The results support the view that psychological gender differences are largest individualistic societies. In study 4, the relations of value priorities to guilt, shame and empathy were examined in two samples, one of 15 19-year-old high school students (N = 207), and the other of military conscripts (N = 503). Guilt was, in both samples, positively related to valuing universalism, benevolence, tradition, and conformity, and negatively related to valuing power, hedonism, stimulation, and self-direction. The results for empathy were similar, but the relation to the openness conservation value dimension was weaker. Shame and personal distress were weakly related to values. In sum, shame without guilt and the TOSCA shame scale are tendencies that are unlikely to motivate moral behavior in Finnish cultural context. Guilt is likely to be connected to positive social behaviors, but excessive guilt can cause psychological problems. Moral emotional tendencies are related to culture, cultural conceptions of gender and to individual value priorities.