874 resultados para Homology of groups


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Personal goals offer an important aspect of personality and motivation. Personal goals are conscious and subjectively motivated objectives by which a person directs his or her life over time. Personal goals are related to adolescents' subjective well-being. The aim of the present research was to find out, what kinds of groups of adolescents can be formed by the content of personal goals and how these groups differ in goal appraisals, meaningful life events and subjective well-being. The second aim of the study was to detect gender differences and differences between vocational and high school students in goal appraisals, meaningful life events and subjective well-being. Adolescents in upper secondary education (N=1144) were grouped together by the content of their personal goals using a person oriented approach and a cluster analysis. Clusters found in the analysis were named by the centre goal as (1) a property group, (2) a vocation group, (3) a future education and personal relationships group and (4) a selffocused group. Adolescents in the property group put a little effort into their career goal, they were not exhausted in school work and their subjective well-being was average. Adolescents in the vocation group felt progress in their career goal and put effort into it. They had goals related to life-style. They did not feel exhausted and their subjective well-being was average. The future education and personal relationships group put effort into their career goal and considered progressing in it. Personal relationships were important in their lives. They were exhausted in their school work but they did not feel cynicism. Their own health was one of their goals and they felt satisfaction in their life. Adolescents in the self-focused group did not put effort into their career goal nor considered progressing in it. They were exhausted and especially cynical in their school work. They suffered from almost clinically significant depression. They had low life-satisfaction and low self-esteem. The following gender and educational differences were found. Compared with boys, girls felt their career goal was more important and stressful, and girls also put more effort into it. Girls were more exhausted, depressed and they had lower selfesteem than boys. High school students felt more stress with their career goal than vocational school students. High school students were more exhausted, but still they felt more satisfaction with their lives. In practice, to cover adolescents' personal goals is a possibility to find distressed individuals who might be in need for extra support.

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The purpose of this follow-up study is to analyse stages of learning and teaching of children with special needs in pre-school and the first two grades of elementary school. The target group included 270 children with special needs. The three year follow-up period for each child began during the pre-school year, and continued until the spring of the second grade in elementary school. Various diagnoses were detected among children in the study group. The disorders were categorised in six classes: the developmentally delayed, children with language development disorder, children with emotional and behavioural disorders, children with attention deficit, children with other non-cognitive disorders and children with extensive developmental disorders. The study's starting point was the situation in pre-school: how the children were placed in pre-school, and what kinds of support they were offered? The purpose of the study was to describe how children with special needs move from different types of groups in pre-school to the different types of classes in the first two grades of elementary school. I also examined how well the children with special needs succeeded in the first two grades of elementary school. An additional purpose was to find out what connections there may be between the paths taken by children with special needs when they move from pre-school to elementary school, the types of support they get, and how they succeed academically in elementary school. The data were gathered mainly by means of questionnaires. In addition the children were studied by means of tests designed to estimate their academic skills at the end of the second grade. In analysing the data I used both quantitative and qualitative methods. Six paths were identified among the children in the study group, based on whether a child was in a group or a class given special teaching or in an ordinary group or class during pre-school and the first two grades of elementary school. In this study, about 53% of the children with special needs moved from pre-school to a regular class in elementary school, and about 47% of the children received special education in elementary school. Among the ordinary groups (n = 69) in pre-school the majority of children (73 %) moved to a regular class in elementary school. Among the children receiving special education (n = 201) in pre-school, 46% moved to a regular class in elementary school. That path turned out to be the one followed by the greatest number of children. Only rarely did children move from an ordinary group in pre-school to a special education class in elementary school. Examination of the results according to the children's transition paths also links together with the viewpoint of integration and segregation. This study indicates that in pre-school special education groups, a significantly greater number of methods supporting children's development were used than in the conventional education groups. The difference was at its greatest inconnection with the use of so-called special rehabilitation methods. A quite wide range of variation was observed in how the children succeeded in elementary school. Success in the tests designed to estimate the children's academic skills was poor for 31% of the children (n = 230) in the first grade study group. For 69 % of the children, however, success in the tests was at least satisfactory. In the second grade study group 34 % of the children (N = 216) got through all the three tests estimating academic skills acceptably. According to this study, a number of children with special needs require special support throughout pre-school and the first two grades of elementary school. The results show that if the children received special support during the pre-school year, a number were able to participate in regular education in elementary school. Keywords: a child with special needs, measures of support, transitions, achievements in school

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As a Novice Teacher at Comprehensive School: The authentic experiences of the beginning teachers during their first year of teaching The aim of this study is to explicate the novice year of teaching in the light of teachers´ authentic experiences. The subject of this investigation is the teachers´ subjective world of experience during their first academic year of teaching and the sharing of these experiences in collaborative consulting meetings. The themes discussed in the meetings were introduced into the collaborative group by the novice teachers themselves, and the progress of discussion was con-trolled by them. The research data was gathered in a consultative working group where the way a novice teacher starts to interpret, analyze and identify his/her own complex and dynamic teaching situations was observed. The research data gathered in this way illuminates novice teachers´ world of experience and mental picture as well as the unconscious sides of school life. In a theoretical frame of reference, the work of a teacher is identified, according to systemic scientific thought, as a dynamic triangle in which the basic elements are the personality of the teacher, the role of the teacher and the school as an organization. These basic elements form a whole within which the teacher works. The dynamics of this triangle in a teacher’s work are brought to light through the study of the phenomena of groups and group dynamics since a teacher works either as a member of a group (working community), as a leader of a group (teaching situations) or in a network (parent – teacher cooperation). Therefore, tension and force are always present in teaching work. The main research problem was to explain how a novice teacher experiences his/her first working year as a teacher. The participants (n=5) were teaching at five different comprehensive schools in the city of Helsinki. This was their first long-term post as a teacher. The research data consists of seven collaborative consulting meetings, as well as recordings and transcripts of the meetings. A classificatory framework was developed for data analysis which enabled a sys-tematic qualitative content analysis based on theory and material. In addition to the consulting meetings, the teachers were interviewed at the beginning and at the end of the process of collecting the research material. The interviews were used to interpret the meanings of the content analysis based on raw data. The findings show that there is a gap between teacher education and the reality of school life, which causes difficulties for a novice teacher during his/her first teaching year. The gap is rather a global educational problem than a national one, and therefore it is independent of cultural factors. Novice teachers desire a well-structured theory of teacher education and a clear programme where the themes and content delve deeper and deeper into the subject matter during the study years. According to the novice teachers, teacher education frequently consists of sporadic and unconnected study and class situations. An individual content weakness of teacher education is the lack of insufficient initiation into evaluation processes. The novice teachers suggest that a student must be provided good-quality and competent guidance during the study years and during his or her induction. There should be a well-organized, structured and systematic induction program for novice teachers. The induction program should be overseen by an organization so that the requirements of a qualified induction can be met. The findings show that the novice teachers find the first year of teaching at comprehensive school emotionally loaded. The teachers experienced teaching as difficult work and found the workload heavy. Nevertheless, they enjoyed their job because, as they said, there were more pleasant than unpleasant things in their school day. Their main feeling at school was the joy of success in teaching. The novice teachers felt satisfaction with their pupils. The teachers experienced the more serious feelings of anger and disgust when serious violence took place. The most difficult situations arose from teaching pupils who had mental health problems. The toughest thing in the teacher´s work was teaching groups that are too heterogeneous. The most awkward problems in group dynamics happened when new immigrants, who spoke only their own languages, were integrated into the groups in the middle of the school year. Teachers wanted to help children who needed special help with learning but restated at the same time that the groups being taught shouldn’t be too heterogeneous. The teachers wished for help from school assistants so that they could personally concentrate more on teaching. Not all the parents took care of their children according to the comprehensive school law. The teachers found it hard to build a confidential relationship between home and school. In this study, novice teachers found it hard to join the teaching staff at school. Some of the teachers on staff were very strong and impulsive, reacting loudly and emotionally. These teachers provoked disagreement, conflicts, power struggles and competition among the other teachers. Although the novice teachers of the study were all qualified teachers, three of them were not interested in a permanent teaching job. For these teachers teaching at a primary school was just a project, a short period in their working life. They will remain in the teaching profession as long as they are learning new things and enjoying their teaching job. This study is an independent part of the research project on Interplay – Connecting Academic Teacher Education and Work, undertaken by the Department of Applied Sciences of Education at the University of Helsinki. Key words: novice teacher, emotions, groups and group dynamics, authority, co-operation between home and school, teacher community, leadership at school, induction, consulting

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To be hard-of-hearing (HOH) isn t only a hearing-related phenomenon. Some HOH people identify themselves with the majority population, where as others identify themselves with culturally Deaf or with other HOH people. This results in three different kinds of groups. The original aim of this study was to interview HOH people in order to discover the social identities of these three groups. It turned out, however, that there are only few studies exploring this subject. It was therefore first necessary to develop sustainable and suitable starting points for the examination of the information produced by the interviews. In other words, the construction of the theoretical and conceptual frame of reference became the objective of this study. It is, on one hand, the personal experiences of the researcher s mingling with different kinds of HOH people and with culturally Deaf and, on the other, the literature concerning identities that lie in the background of this study. The analysis concentrated on the studies of identities in general and on the previous works dealing with the identities of the HOH people as well as on other studies with reference to HOH people. The choice between mainstream education and special education is one of the main factors affecting the development of the identity. Yet, it became apparent that identifying with the relevant reference group (majority population, culturally Deaf or other HOH people) had an even greater influence than the school. The hard of hearing define themselves differently and take different views on being HOH, depending on their social relations, their values and on their communicative and cultural features. The conclusion is that HOH people should be examined as different groups, not as one group, since they differ clearly from each other.

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This thesis utilises an evidence-based approach to critically evaluate and summarize effectiveness research on physiotherapy, physiotherapy-related motor-based interventions and orthotic devices in children and adolescents with cerebral palsy (CP). It aims to assess the methodological challenges of the systematic reviews and trials, to evaluate the effectiveness of interventions in current use, and to make suggestions for future trials Methods: Systematic reviews were searched from computerized bibliographic databases up to August 2007 for physiotherapy and physiotherapy-related interventions, and up to May 2003 for orthotic devices. Two reviewers independently identified, selected, and assessed the quality of the reviews using the Overview Quality Assessment Questionnaire complemented with decision rules. From a sample of 14 randomized controlled trials (RCT) published between January 1990 and June 2003 we analysed the methods of sampling, recruitment, and comparability of groups; defined the components of a complex intervention; identified outcome measures based on the International Classification of Functioning, Disability and Health (ICF); analysed the clinical interpretation of score changes; and analysed trial reporting using a modified 33-item CONSORT (Consolidated Standards of Reporting Trials) checklist. The effectiveness of physiotherapy and physiotherapy-related interventions in children with diagnosed CP was evaluated in a systematic review of randomised controlled trials that were searched from computerized databases from January 1990 up to February 2007. Two reviewers independently assessed the methodological quality, extracted the data, classified the outcomes using the ICF, and considered the level of evidence according to van Tulder et al. (2003). Results: We identified 21 reviews on physiotherapy and physiotherapy-related interventions and five on orthotic devices. These reviews summarized 23 or 5 randomised controlled trials and 104 or 27 observational studies, respectively. Only six reviews were of high quality. These found some evidence supporting strength training, constraint-induced movement therapy or hippotherapy, and insufficient evidence on comprehensive interventions. Based on the original studies included in the reviews on orthotic devices we found some short-term effects of lower limb casting on passive range of movement, and of ankle-foot orthoses on equinus walk. Long term effects of lower limb orthoses have not been studied. Evidence of upper limb casting or orthoses is conflicting. In the sample of 14 RCTs, most trials used simple randomisation, complemented with matching or stratification, but only three specified the concealed allocation. Numerous studies provided sufficient details on the components of a complex intervention, but the overlap of outcome measures across studies was poor and the clinical interpretation of observed score changes was mostly missing. Almost half (48%) of the applicable CONSORT-based items (range 28 32) were reported adequately. Most reporting inadequacies were in outcome measures, sample size determination, details of the sequence generation, allocation concealment and implementation of the randomization, success of assessor blinding, recruitment and follow-up dates, intention-to-treat analysis, precision of the effect size, co-interventions, and adverse events. The systematic review identified 22 trials on eight intervention categories. Four trials were of high quality. Moderate evidence of effectiveness was established for upper extremity treatments on attained goals, active supination and developmental status, and of constraint-induced therapy on the amount and quality of hand use and new emerging behaviours. Moderate evidence of ineffectiveness was found for strength training's effect on walking speed and stride length. Conflicting evidence was found for strength training's effect on gross motor function. For the other intervention categories the evidence was limited due to the low methodological quality and the statistically insignificant results of the studies. Conclusions: The high-quality reviews provide both supportive and insufficient evidence on some physiotherapy interventions. The poor quality of most reviews calls for caution, although most reviews drew no conclusions on effectiveness due to the poor quality of the primary studies. A considerable number of RCTs of good to fair methodological and reporting quality indicate that informative and well-reported RCTs on complex interventions in children and adolescents with CP are feasible. Nevertheless, methodological improvement is needed in certain areas of the trial design and performance, and the trial authors are encouraged to follow the CONSORT criteria. Based on RCTs we established moderate evidence for some effectiveness of upper extremity training. Due to limitations in methodological quality and variations in population, interventions and outcomes, mostly limited evidence on the effectiveness of most physiotherapy interventions is available to guide clinical practice. Well-designed trials are needed, especially for focused physiotherapy interventions.

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Metanogeenit ovat hapettomissa oloissa eläviä arkkien pääryhmään kuuluvia mikrobeja, joiden ainutlaatuisen aineenvaihdunnan seurauksena syntyy metaania. Ilmakehässä metaani on voimakas kasvihuonekaasu. Yksi suurimmista luonnon metaanilähteistä ovat kosteikot. Pohjoisten soiden metaanipäästöt vaihtelevat voimakkaasti eri soiden välillä ja yhden suon sisälläkin, riippuen muun muassa vuodenajasta, suotyypistä ja kasvillisuudesta. Väitöskirjatyössä tutkittiin metaanipäästöjen vaihtelun mikrobiologista taustaa. Tutkimuksessa selvitettiin suotyypin, vuodenajan, tuhkalannoituksen ja turvesyvyyden vaikutusta metanogeeniyhteisöihin sekä metaanintuottoon kolmella suomalaisella suolla. Lisäksi tutkittiin ei-metanogeenisia arkkeja ja bakteereita, koska ne muodostavat metaanin tuoton lähtöaineet osana hapetonta hajotusta. Mikrobiyhteisöt analysoitiin DNA- ja RNA-lähtöisillä, polymeraasiketjureaktioon (PCR) perustuvilla menetelmillä. Merkkigeeneinä käytettiin metaanin tuottoon liittyvää mcrA-geeniä sekä arkkien ja bakteerien ribosomaalista 16S RNA-geeniä. Metanogeeniyhteisöt ja metaanintuotto erosivat huomattavasti happaman ja vähäravinteisen rahkasuon sekä ravinteikkaampien sarasoiden välillä. Rahkasuolta löytyi lähes yksinomaan Methanomicrobiales-lahkon metanogeeneja, jotka tuottavat metaania vedystä ja hiilidioksidista. Sarasoiden metanogeeniyhteisöt olivat monimuotoisempia, ja niillä esiintyi myös asetaattia käyttäviä metanogeeneja. Vuodenaika vaikutti merkittävästi metaanintuottoon. Talvella havaittiin odottamattoman suuri metaanintuottopotentiaali sekä viitteitä aktiivisista metanogeeneista. Arkkiyhteisön koostumus sen sijaan vaihteli vain vähän. Tuhkalannoitus, jonka tarkoituksena on edistää puiden kasvua ojitetuilla soilla, ei merkittävästi vaikuttanut metaanintuottoon tai -tuottajiin. Ojitetun suon yhteisöt kuitenkin muuttuivat turvesyvyyden mukaan. Vertailtaessa erilaisia PCR-menetelmiä todettiin, että kolmella mcrA-geeniin kohdistuvalla alukeparilla havaittiin pääosin samat ojitetun suon metanogeenit, mutta lajien runsaussuhteet riippuvat käytetyistä alukkeista. Soilla havaitut bakteerit kuuluivat pääjaksoihin Deltaproteobacteria, Acidobacteria ja Verrucomicrobia. Lisäksi löydettiin Crenarchaeota-pääjakson ryhmiin 1.1c ja 1.3 kuuluvia ei-metanogeenisia arkkeja. Tulokset ryhmien esiintymisestä hapettomassa turpeessa antavat lähtökohdan selvittää niiden mahdollisia vuorovaikutuksia metanogeenien kanssa. Tutkimuksen tulokset osoittivat, että metanogeeniyhteisön koostumus heijastaa metaanintuottoon vaikuttavia kemiallisia tai kasvillisuuden vaihteluita kuten suotyyppiä. Soiden metanogeenien ja niiden fysiologian parempi tuntemus voi auttaa ennustamaan ympäristömuutosten vaikutusta soiden metaanipäästöihin.

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I discuss role responsibly, individual responsibility and collective responsibility in corporate multinational setting. My case study is about minerals used in electronics that come from the Democratic Republic of Congo. What I try to show throughout the thesis is how many things need to be taken into consideration when we discuss the responsibility of individuals in corporations. No easy and simple answers are available. Instead, we must keep in mind the complexity of the situation at all times, judging cases on individual basis, emphasizing the importance of individual judgement and virtue, as well as the responsibility we all share as members of groups and the wider society. I begin by discussing the demands that are placed on us as employees. There is always a potential for a conflict between our different roles and also the wider demands placed on us. Role demands are usually much more specific than the wider question of how we should act as human beings. The terminology of roles can also be misleading as it can create illusions about our work selves being somehow radically separated from our everyday, true selves. The nature of collective decision-making and its implications for responsibility is important too. When discussing the moral responsibility of an employee in a corporate setting, one must take into account arguments from individual and collective responsibility, as well as role ethics. Individual responsibility is not a separate or competing notion from that of collective responsibility. Rather, the two are interlinked. Individuals' responsibilities in collective settings combine both individual responsibility and collective responsibility (which is different from aggregate individual responsibility). In the majority of cases, both will apply in various degrees. Some members might have individual responsibility in addition to the collective responsibility, while others just the collective responsibility. There are also times when no-one bears individual moral responsibility but the members are still responsible for the collective part. My intuition is that collective moral responsibility is strongly linked to the way the collective setting affects individual judgements and moulds the decisions, and how the individuals use the collective setting to further their own ends. Individuals remain the moral agents but responsibility is collective if the actions in question are collective in character. I also explore the impacts of bureaucratic ethic and its influence on the individual. Bureaucracies can compartmentalize work to such a degree that individual human action is reduced to mere behaviour. Responsibility is diffused and the people working in the bureaucracy can come to view their actions to be outside the normal human realm where they would be responsible for what they do. Language games and rules, anonymity, internal power struggles, and the fragmentation of information are just some of the reasons responsibility and morality can get blurry in big institutional settings. Throughout the thesis I defend the following theses: ● People act differently depending on their roles. This is necessary for our society to function, but the more specific role demands should always be kept in check by the wider requirements of being a good human being. ● Acts in corporations (and other large collectives) are not reducible to individual actions, and cannot be explained fully by the behaviour of individual employees. ● Individuals are responsible for the actions that they undertake in the collective as role occupiers and are very rarely off the hook. Hiding behind role demands is usually only an excuse and shows a lack of virtue. ● Individuals in roles can be responsible even when the collective is not. This depends on if the act they performed was corporate in nature or not. ● Bureaucratic structure affects individual thinking and is not always a healthy environment to work in. ● Individual members can share responsibility with the collective and our share of the collective responsibility is strongly linked to our relations. ● Corporations and other collectives can be responsible for harm even when no individual is at fault. The structure and the policies of the collective are crucial. ● Socialization plays an important role in our morality at both work and outside it. We are all responsible for the kind of moral context we create. ● When accepting a role or a position in a collective, we are attaching ourselves with the values of that collective. ● Ethical theories should put more emphasis on good judgement and decision-making instead of vague generalisations. My conclusion is that the individual person is always in the centre when it comes to responsibility, and not so easily off the hook as we sometimes think. What we do, and especially who we choose to associate ourselves with, does matter and we should be more careful when we choose who we work for. Individuals within corporations are responsible for choosing that the corporation they associate with is one that they can ascribe to morally, if not fully, then at least for the most part. Individuals are also inclusively responsible to a varying degree for the collective activities they contribute to, even in overdetermined contexts. We all are responsible for the kind of corporations we choose to support through our actions as consumers, investors and citizens.

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The concept of one enzyme-one activity had influenced biochemistry for over half a century. Over 1000 enzymes are now described. Many of them are highly 'specific'. Some of them are crystallized and their three-dimensional structures determined. They range from 12 to 1000 kDa in molecular weight and possess 124 to several hundreds of amino acids. They occur as single polypeptides or multiple-subunit proteins. The active sites are assembled on these by appropriate tertiary folding of the polypeptide chain, or by interaction of the constituent subunits. The substrate is held by the side-chains of a few amino acids at the active site on the surface, occupying a tiny fraction of the total area. What is the bulk of the protein behind the active site doing? Do all proteins have only one function each? Why not a protein have more than one active site on its large surface? Will we discover more than one activity for some proteins? These newer possibilities are emerging and are finding experimental support. Some proteins purified to homogeneity using assay methods for different activities are now recognized to have the same molecular weight and a high degree of homology of amino acid sequence. Obviously they are identical. They represent the phenomenon of one protein-many functions.

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We interpret a normal surface in a (singular) three-manifold in terms of the homology of a chain complex. This allows us to study the relation between normal surfaces and their quadrilateral coordinates. Specifically, we give a proof of an (unpublished) observation independently given by Casson and Rubinstein saying that quadrilaterals determine a normal surface up to vertex linking spheres. We also characterize the quadrilateral coordinates that correspond to a normal surface in a (possibly ideal) triangulation.

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The Computational Analysis of Novel Drug Opportunities (CANDO) platform (http://protinfo.org/cando) uses similarity of compound-proteome interaction signatures to infer homology of compound/drug behavior. We constructed interaction signatures for 3733 human ingestible compounds covering 48,278 protein structures mapping to 2030 indications based on basic science methodologies to predict and analyze protein structure, function, and interactions developed by us and others. Our signature comparison and ranking approach yielded benchmarking accuracies of 12-25% for 1439 indications with at least two approved compounds. We prospectively validated 49/82 `high value' predictions from nine studies covering seven indications, with comparable or better activity to existing drugs, which serve as novel repurposed therapeutics. Our approach may be generalized to compounds beyond those approved by the FDA, and can also consider mutations in protein structures to enable personalization. Our platform provides a holistic multiscale modeling framework of complex atomic, molecular, and physiological systems with broader applications in medicine and engineering.

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Classical fracture mechanics is based on the premise that small scale features could be averaged to give a larger scale property such that the assumption of material homogeneity would hold. Involvement of the material microstructure, however, necessitates different characteristic lengths for describing different geometric features. Macroscopic parameters could not be freely exchanged with those at the microscopic scale level. Such a practice could cause misinterpretation of test data. Ambiguities arising from the lack of a more precise range of limitations for the definitions of physical parameters are discussed in connection with material length scales. Physical events overlooked between the macroscopic and microscopic scale could be the link that is needed to bridge the gap. The classical models for the creation of free surface for a liquid and solid are oversimplified. They consider only the translational motion of individual atoms. Movements of groups or clusters of molecules deserve attention. Multiscale cracking behavior also requires the distinction of material damage involving at least two different scales in a single simulation. In this connection, special attention should be given to the use of asymptotic solution in contrast to the full field solution when applying fracture criteria. The former may leave out detail features that would have otherwise been included by the latter. Illustrations are provided for predicting the crack initiation sites of piezoceramics. No definite conclusions can be drawn from the atomistic simulation models such as those used in molecular dynamics until the non-equilibrium boundary conditions can be better understood. The specification of strain rates and temperatures should be synchronized as the specimen size is reduced to microns. Many of the results obtained at the atomic scale should be first identified with those at the mesoscale before they are assumed to be connected with macroscopic observations. Hopefully, "mesofracture mechanics" could serve as the link to bring macrofracture mechanics closer to microfracture mechanics.

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In this paper we study the effect of population age distribution upon private consumption expenditure in Spain from 1964 to 1997 using aggregate data. We obtain four main results. First, changes in the population pyramid have substantial effects upon the behaviour of private consumption. Second, the pattern of the coefficients of the demographic variables is not consistent with the simplest version of the life cycle hypothesis. Third, we estimate the impact of the demographic transition upon consumption and find positive values associated with episodes in which the shares of groups of individuals with expenditure levels higher (lower) than the mean increased (decreased). Fourth, the results are robust to alternative specifications for the population age distribution.

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This publication of the NOAA Professional Paper NMFS Series is the product of a special symposium on “Emerging Technologies for Reef Fisheries Research and Management” held during the 56th annual Gulf and Caribbean Fisheries Institute meeting in Tortola, British Virgin Islands, November 2003. The purpose of this collection is to highlight the diversity of questions and issues in reef fisheries management that are benefiting from applications of technology. Topics cover a wide variety of questions and issues from the study of individual behavior, distribution and abundance of groups and populations, and associations between habitats and fish and shellfish species.(PDF files contains 124 pages.)

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This publication of the NOAA Professional Paper NMFS Series is the product of a special symposium on “Emerging Technologies for Reef Fisheries Research and Management” held during the 56th annual Gulf and Caribbean Fisheries Institute meeting in Tortola, British Virgin Islands, November 2003. The purpose of this collection is to highlight the diversity of questions and issues in reef fisheries management that are benefiting from applications of technology. Topics cover a wide variety of questions and issues from the study of individual behavior, distribution and abundance of groups and populations, and associations between habitats and fish and shellfish species.

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This thesis is mainly concerned with the application of groups of transformations to differential equations and in particular with the connection between the group structure of a given equation and the existence of exact solutions and conservation laws. In this respect the Lie-Bäcklund groups of tangent transformations, particular cases of which are the Lie tangent and the Lie point groups, are extensively used.

In Chapter I we first review the classical results of Lie, Bäcklund and Bianchi as well as the more recent ones due mainly to Ovsjannikov. We then concentrate on the Lie-Bäcklund groups (or more precisely on the corresponding Lie-Bäcklund operators), as introduced by Ibragimov and Anderson, and prove some lemmas about them which are useful for the following chapters. Finally we introduce the concept of a conditionally admissible operator (as opposed to an admissible one) and show how this can be used to generate exact solutions.

In Chapter II we establish the group nature of all separable solutions and conserved quantities in classical mechanics by analyzing the group structure of the Hamilton-Jacobi equation. It is shown that consideration of only Lie point groups is insufficient. For this purpose a special type of Lie-Bäcklund groups, those equivalent to Lie tangent groups, is used. It is also shown how these generalized groups induce Lie point groups on Hamilton's equations. The generalization of the above results to any first order equation, where the dependent variable does not appear explicitly, is obvious. In the second part of this chapter we investigate admissible operators (or equivalently constants of motion) of the Hamilton-Jacobi equation with polynornial dependence on the momenta. The form of the most general constant of motion linear, quadratic and cubic in the momenta is explicitly found. Emphasis is given to the quadratic case, where the particular case of a fixed (say zero) energy state is also considered; it is shown that in the latter case additional symmetries may appear. Finally, some potentials of physical interest admitting higher symmetries are considered. These include potentials due to two centers and limiting cases thereof. The most general two-center potential admitting a quadratic constant of motion is obtained, as well as the corresponding invariant. Also some new cubic invariants are found.

In Chapter III we first establish the group nature of all separable solutions of any linear, homogeneous equation. We then concentrate on the Schrodinger equation and look for an algorithm which generates a quantum invariant from a classical one. The problem of an isomorphism between functions in classical observables and quantum observables is studied concretely and constructively. For functions at most quadratic in the momenta an isomorphism is possible which agrees with Weyl' s transform and which takes invariants into invariants. It is not possible to extend the isomorphism indefinitely. The requirement that an invariant goes into an invariant may necessitate variants of Weyl' s transform. This is illustrated for the case of cubic invariants. Finally, the case of a specific value of energy is considered; in this case Weyl's transform does not yield an isomorphism even for the quadratic case. However, for this case a correspondence mapping a classical invariant to a quantum orie is explicitly found.

Chapters IV and V are concerned with the general group structure of evolution equations. In Chapter IV we establish a one to one correspondence between admissible Lie-Bäcklund operators of evolution equations (derivable from a variational principle) and conservation laws of these equations. This correspondence takes the form of a simple algorithm.

In Chapter V we first establish the group nature of all Bäcklund transformations (BT) by proving that any solution generated by a BT is invariant under the action of some conditionally admissible operator. We then use an algorithm based on invariance criteria to rederive many known BT and to derive some new ones. Finally, we propose a generalization of BT which, among other advantages, clarifies the connection between the wave-train solution and a BT in the sense that, a BT may be thought of as a variation of parameters of some. special case of the wave-train solution (usually the solitary wave one). Some open problems are indicated.

Most of the material of Chapters II and III is contained in [I], [II], [III] and [IV] and the first part of Chapter V in [V].