946 resultados para Dunkl-Bessel Transform


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Rae and Davidson have found a striking connection between the averaging method generalised by Kruskal and the diagram technique used by the Brussels school in statistical mechanics. They have considered conservative systems whose evolution is governed by the Liouville equation. In this paper we have considered a class of dissipative systems whose evolution is governed not by the Liouville equation but by the last-multiplier equation of Jacobi whose Fourier transform has been shown to be the Hopf equation. The application of the diagram technique to the interaction representation of the Jacobi equation reveals the presence of two kinds of interactions, namely the transition from one mode to another and the persistence of a mode. The first kind occurs in the treatment of conservative systems while the latter type is unique to dissipative fields and is precisely the one that determines the asymptotic Jacobi equation. The dynamical equations of motion equivalent to this limiting Jacobi equation have been shown to be the same as averaged equations.

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Unsteady rotating and stratified flows in geometries with non-uniform cross-sections are investigated under Oseen approximation using Laplace transform technique. The solutions are obtained in closed form and they reveal that the flow remains oscillatory even after infinitely large time. The existence of inertial waves propagating in both positive and negative directions of the flow is observed. When the Rossby or Froude number is close to a certain infinite set of critical values the blocking and back flow occur and the flow pattern becomes more and more complicated with increasing number of stagnant zones when each critical value is crossed. The analogy that is observed in the solutions for rotating and stratified flows is also discussed.

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An exact solution for the stresses in a transversely isotropic infinite thick plate having a circular hole and subjected to axisymmetric uniformly distributed load on the plane surfaces has been given. The solution is in the form of Fourier-Bessel series and integrals. Numerical results for the stresses are given using the elastic constants for magnesium, and are compared with the isotropic case.

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The transforms dealt with in this paper are defined in terms of the transform kernels which are Kroneeker products of the two or more component kernels. The signal flow-graph for the computation of such a transform is obtained with the flow-graphs for the component transforms as building blocks.

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This thesis examines the right to self-determination which is a norm used for numerous purposes by multiple actors in the field of international relations, with relatively little clarity or agreement on the actual and potential meaning of the right. In international practice, however, the main focus in applying the right has been in the context of decolonization as set by the United Nations in its early decades. Thus, in Africa the right to self-determination has traditionally implied that the colonial territories, and particularly the populations within these territories, were to constitute the people who were entitled to the right. That is, self-determination by decolonization provided a framework for the construction of independent nation-states in Africa whilst other dimensions of the right remained largely or totally neglected. With the objective of assessing the scope, content, developments and interpretations of the right to self-determination in Africa, particularly with regard to the relevance of the right today, the thesis proceeds on two fundamental hypotheses. The first is that Mervyn Frost s theory of settled norms, among which he lists the right to self-determination, assumes too much. Even if the right to self-determination is a human right belonging to all peoples stipulated, inter alia, in the first Article of the 1966 International Human Rights Covenants, it is a highly politicized and context-bound right instead of being settled and observed in a way that its denial would need special justification. Still, the suggested inconsistency or non-compliance with the norm of self-determination is not intended to prove the uselessness or inappropriateness of the norm, but, on the contrary, to invite and encourage debate on the potential use and coverage of the right to self-determination. The second hypothesis is that within the concept of self-determination there are two normative dimensions. One is to do with the idea and practice of statehood, the nation and collectivity that may decide to conduct itself as an independent state. The other one is to do with self-determination as a human right, as a normative condition, to be enjoyed by people and peoples within states that supersedes state authority. These external and internal dimensions need to be seen as complementary and co-terminous, not as mutually exclusive alternatives. The thesis proceeds on the assumption that the internal dimension of the right, with human rights and democracy at its core, has not been considered as important as the external. In turn, this unbalanced and selective interpretation has managed to put the true normative purpose of the right making the world better and bringing more just polity models into a somewhat peculiar light. The right to self-determination in the African context is assessed through case studies of Western Sahara, Southern Sudan and Eritrea. The study asks what these cases say about the right to self-determination in Africa and what their lessons learnt could contribute to the understanding and relevance of the right in today s Africa. The study demonstrates that even in the context of decolonization, the application of the right to self-determination has been far from the consistent approach supposedly followed by the international community: in many respects similar colonial histories have easily led to rather different destinies. While Eritrea secured internationally recognized right to self-determination in the form of retroactive independence in 1993, international recognition of distinct Western Sahara and Southern Sudan entities is contingent on complex and problematic conditions being satisfied. Overall, it is a considerable challenge for international legality to meet empirical political reality in a meaningful way, so that the universal values attached to the norm of self-determination are not overlooked or compromised but rather reinforced in the process of implementing the right. Consequently, this thesis seeks a more comprehensive understanding of the right to self-determination with particular reference to post-colonial Africa and with an emphasis on the internal, human rights and democracy dimensions of the norm. It is considered that the right to self-determination cannot be perceived only as an inter-state issue as it is also very much an intra-state issue, including the possibility of different sub-state arrangements exercised under the right, for example, in the form of autonomy. At the same time, the option of independent statehood achieved through secession remains a mode of exercising and part of the right to self-determination. But in whatever form or way applied, the right to self-determination, as a normative instrument, should constitute and work as a norm that comprehensively brings more added value in terms of the objectives of human rights and democracy. From a normative perspective, a peoples right should not be allowed to transform and convert itself into a right of states. Finally, in light of the case studies of Western Sahara, Southern Sudan and Eritrea, the thesis suggests that our understanding of the right to self-determination should now reach beyond the post-colonial context in Africa. It appears that both the questions and answers to the most pertinent issues of self-determination in the cases studied must be increasingly sought within the postcolonial African state rather than solely in colonial history. In this vein, the right to self-determination can be seen not only as a tool for creating states but also as a way to transform the state itself from within. Any such genuinely post-colonial approach may imply a judicious reconsideration, adaptation or up-dating of the right and our understanding of it in order to render it meaningful in Africa today.

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The birth of the Modern Consumer Society in Finnish short films 1920-1969 The main subject of this research is Finnish short films in 1920-1969. These short films were produced by film studios for private enterprises, banks, advisory organizations, communities and the state. The evolution of short films on consumer affairs was greatly influenced by a special tax reduction system that was introduced in 1933 and lasted until 1964. The tax reduction system increased the production volumes of educational short films significantly. This study covers 342 Finnish short films, more than any other study in the field before this. The aim of this research is to examine how short films introduced Finns to modern consumer society. The cinemagoers were an excellent target group for different advisory groups as well as advertisers. Short films were used by organizations and private enterprises from very early on. In the 1920's Finns were still living in rural areas and agriculture was the dominant industry. Consumer society was still in its infancy, and the prevalent attitude to industrially produced goods was that of suspicion. From the cultural and ideological point of view the evolution of trust was one of the first steps towards the birth of the consumer society. Short films were an excellent means for helping to transform public attitudes. During the war period short films were an important means of propaganda. Short films were produced in abundance and shown for big audiences. They guided people how to survive shortages caused by the war. Even though the idea of rationalization was presented in short films somewhat in the 1920's and 1930's it became a national virtue during the war period. The idea of rationalization widened from the industry to households expecially in the late 1940's and the 1950's. New household apparati and the way in which daily chores were taken care of were presented not as luxury consumption but as a way of rationalization and saving money and effort. Banks and the advisory organizations guided the public to save their money for a specific target. Short films were use to help the public to acceps industrial goods and the notions of planning and saving. The ideological change from an agrarian society to consumer society was based on old acricultural ideas and self-sufficiency was evolved into rational and economizing consumerism. This made Finnish consumer society to value durable consumer goods and own homes. The public was also encouraged to consider their own decisions in the national context - especially after the second world war Finland laced capital, and personal savings were strongly presented as a way to help the whole nation. Modern hedonistic values were not dominant in Finland in the1950's and 1960's. Initial traces of modern hedonism can be seen in the films, but they were only marginal paths in the bigger.

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This paper reports on staff perceptions arising from a review process designed to assist staff in making informed decisions regarding educational design, approaches to engage students in learning, and the technology to support engagement in the classroom and across multiple locations and delivery modes. The aim of the review process was to transform the level of student engagement in the business faculty of an Australian university. The process took a collaborative approach through consultation with academic staff involved in the design and delivery of the units under review, and included targeted professional development as necessary. An institutional framework that characterises engagement indicator contexts and their attributes facilitated dialog during the review process. This paper reports on a mixed method study that included a survey of participants, and purposeful interviews to evaluate the effectiveness of the process. Although the study identified factors that hindered implementation and operationalization of review recommendations in some instances, study participants were generally of the view that recommendations would enhance student engagement. It is demonstrated that the bottom-up approach described in this paper is consistent with theoretical frameworks for transformational change in teaching and learning and the adoption of innovations.

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A high temperature source has been developed and coupled to a high resolution Fourier transform spectrometer to record emission spectra of acetylene around 3 mu m up to 1455 K under Doppler limited resolution (0.015 cm(-1)). The nu(3)-ground state (GS) and nu(2)+nu(4)+nu(5)(Sigma(+)(u) and Delta(u))-GS bands and 76 related hot bands, counting e and f parities separately, are assigned using semiautomatic methods based on a global model to reproduce all related vibration-rotation states. Significantly higher J-values than previously reported are observed for 40 known substates while 37 new e or f vibrational substates, up to about 6000 cm(-1), are identified and characterized by vibration-rotation parameters. The 3 811 new or improved data resulting from the analysis are merged into the database presented by Robert et al. [Mol. Phys. 106, 2581 (2008)], now including 15 562 lines accessing vibrational states up to 8600 cm(-1). A global model, updated as compared to the one in the previous paper, allows all lines in the database to be simultaneously fitted, successfully. The updates are discussed taking into account, in particular, the systematic inclusion of Coriolis interaction.

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When a uniform flow of any nature is interrupted, the readjustment of the flow results in concentrations and rare-factions, so that the peak value of the flow parameter will be higher than that which an elementary computation would suggest. When stress flow in a structure is interrupted, there are stress concentrations. These are generally localized and often large, in relation to the values indicated by simple equilibrium calculations. With the advent of the industrial revolution, dynamic and repeated loading of materials had become commonplace in engine parts and fast moving vehicles of locomotion. This led to serious fatigue failures arising from stress concentrations. Also, many metal forming processes, fabrication techniques and weak-link type safety systems benefit substantially from the intelligent use or avoidance, as appropriate, of stress concentrations. As a result, in the last 80 years, the study and and evaluation of stress concentrations has been a primary objective in the study of solid mechanics. Exact mathematical analysis of stress concentrations in finite bodies presents considerable difficulty for all but a few problems of infinite fields, concentric annuli and the like, treated under the presumption of small deformation, linear elasticity. A whole series of techniques have been developed to deal with different classes of shapes and domains, causes and sources of concentration, material behaviour, phenomenological formulation, etc. These include real and complex functions, conformal mapping, transform techniques, integral equations, finite differences and relaxation, and, more recently, the finite element methods. With the advent of large high speed computers, development of finite element concepts and a good understanding of functional analysis, it is now, in principle, possible to obtain with economy satisfactory solutions to a whole range of concentration problems by intelligently combining theory and computer application. An example is the hybridization of continuum concepts with computer based finite element formulations. This new situation also makes possible a more direct approach to the problem of design which is the primary purpose of most engineering analyses. The trend would appear to be clear: the computer will shape the theory, analysis and design.

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New experimental results to demonstrate that the annoying DC in the reconstructed wavefronts from in-line holograms could be successfully eliminated are presented in this paper. The complete elimination of DC has been achieved by making proper use of a Mach-Zehnder interferometer. The results for an in-line hololens and an in-line Fourier transform hologram are discussed.

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Bisphenol-A (BPA) adsorption onto inorganic-organic clays (IOCs) was investigated. For this purpose, IOCs synthesised using octadecyltrimethylammonium bromide (ODTMA, organic modifier) and hydroxy aluminium (Al13, inorganic modifier) were used. Three intercalation methods were employed with varying ODTMA concentration in the synthesis of IOCs. Molecular interactions of clay surfaces with ODTMA and Al13 and their arrangements within the interlayers were determined using Fourier transform infrared spectroscopy (FTIR). Surface area and porous structure of IOCs were determined by applying Brunauer, Emmett, and Teller (BET) method to N2 adsorption-desorption isotherms. Surface area decreased upon ODTMA intercalation while it increased with Al13 pillaring. As a result, BET specific surface area of IOCs was considerably higher than those of organoclays. Initial concentration of BPA, contact time and adsorbent dose significantly affected BPA adsorption into IOCs. Pseudo-second order kinetics model is the best fit for BPA adsorption into IOCs. Both Langmuir and Freundlich adsorption isotherms were applicable for BPA adsorption (R2 > 0.91) for IOCs. Langmuir maximum adsorption capacity for IOCs was as high as 109.89 mg g‒1 and it was closely related to the loaded ODTMA amount into the clay. Hydrophobic interactions between long alkyl chains of ODTMA and BPA are responsible for BPA adsorption into IOCs.

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Globalization, along with its digital and information communication technology counterparts, including the Internet and cyberspace, may signify a whole new era for human rights, characterized by new tensions, challenges, and risks for human rights, as well as new opportunities. Human Rights and Risks in the Digital Era: Globalization and the Effects of Information Technologies explores the emergence and evolution of ‘digital’ rights that challenge and transform more traditional legal, political, and historical understandings of human rights. Academic and legal scholars will explore individual, national, and international democratic dilemmas--sparked by economic and environmental crises, media culture, data collection, privatization, surveillance, and security--that alter the way individuals and societies think about, regulate, and protect rights when faced with new challenges and threats. The book not only uncovers emerging changes in discussions of human rights, it proposes legal remedies and public policies to mitigate the challenges posed by new technologies and globalization.

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Ectomycorrhizal formation between the host tree, Pinus sylvestris and fungal symbiont, Suillus bovinus was investigated at the molecular level by isolating genes regulating the organization of the actin cytoskeleton in the fungal partner S. bovinus. An Agrobacterium tumefaciens mediated transformation (ATMT) system was developed for the ectomycorrhizal fungi in order to assign specific functions to the cloned molecules. The developed ATMT system was also used to transform a plant pathogenic fungus, Helminthosporium turcicum, to hygromycin B resistance. Small GTPases Cdc42 and Rac1, the regulators of actin cytoskeleton in eukaryotes were isolated from S. bovinus. Sbcdc42 and Sbrac1, are both expressed in vegetative and in the symbiotic hyphae of S. bovinus . Using IIF microscopy, Cdc42 and actin were co-localized at the tips of vegetative hyphae and were visualized in association with the plasma membrane in swollen cells typical to the symbiotic hyphae. These results suggest that the small GTPases Cdc42 may play a significant role in the polarized growth of S. bovinus hyphae and regulate fungal morphogenesis during ectomycorrhiza formation through reorganization of the actin cytoskeleton. The functional equality of Cdc42 was tested in yeast complementation experiments using a Saccharomyces cerevisiae temperature sensitive mutant, cdc42-1ts. The genomic clone of CDC42 was isolated from S. bovinus genomic DNA via specific primers for Cdc42. The analogous S. cerevisiae cdc42 mutations, dominant active G12V and dominant negative D118A, were generated in the Sbcdc42 gene by in-vitro mutagenesis. The ectomycorrhizal fungi, S. bovinus, P. involutus and H. cylindroporum were transformed using ATMT and phleomycin as a selectable marker. PCR screeing suggested that the T-DNA was inserted in all the three fungal genomes but the fate of integration could not be proved by Southern blot analysis. An alternative Agrobacterium strain, AGL-1 and selection marker, hygromycin was used to transform our model fungus S. bovinus. PCR and Southern analysis suggested an improved efficiency of transformation. All the transformed fungal colonies selected for hygromycin gave positives in PCR and the Southerns showed multiple or single copy T-DNA integrations into the S. bovinus genome. Using the same Agrobacterium strain and the selectable marker, a maize pathogen, H. turcicum was also subjected to ATMT. The H. turcicum transformation data suggested the single copy T-DNA integrations into the genome of the screened transformants that further confirms wider applicability of the ATMT. The plasmids carrying the wild-type (pHGCDC42) and the mutated Sbcdc42 alleles (pHGGV; pHGDA) under Agaricus bisporus gpd promoter were constructed in an A. tumefaciens vector. ATMT was used to transform S. bovinus with the plasmids carrying the wild-type and mutated Sbcdc42 alleles. The isolation of Sbcdc42 and Sbrac1 genes and some other functionally related genes from ectomycorrhizal fungus, S. bovinus will form the basis of future work to resolve the signalling pathway leading to ectomycorrhizal symbiosis. The development of ATMT system will be a valuable tool in analysing the exact function of signalling pathway components in ectomycorrhizal symbiosis or in plant pathogenic interactions. The transformation frequency and broad applicability along with the simplicity of T-DNA integration make Agrobacterium a valuable, new and a powerfull tool for targeted and insertional mutagenesis in these plant associated fungi. The developed ATMT systems should therefore make it possible to generate large number of transformants with tagged genes which could then be screened for their specific roles in symbiosis and pathogenecity, respectively.

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Communications between adults and young children can expose different ideas and opinions. Adults and children have different capacities to speak, these discursive spaces can become filled with assumptions, stereotyping and conventional thinking about power and agency. If communication shifts away from the purely discursive, what might be exposed about the explorations, investigations and fantasies adults and children indulge in? Some time ago my young daughter obsessively drew hybrid beings. Created from mixtures of animal, object, human and creature forms, these beings, which are ‘not-quite’, are becoming, able to transform via myriad mutations. We agreed to collaborate and draw additional hybrid beings to experiment with becoming-other through complex entanglements of forms, to complicate, morph and (trans)form from our human selves to hybrid others. The ‘not- quite-ness’ of our monstrous hybrids subvert the conventions of ‘being’ and prompt contemplations about childhood subjectivities, identities, conventionalities and actively interrogate the assumptive knowledges and subjectifications that are held about young children in early childhood professional and academic systems.

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An exact theoretical solution is given for the stresses and displacements in an infinite plate of finite thickness having a circular hole and subjected to axisymmetric normal leading. The solution is given in the form of Fourier-Bessel series and integral. Numerical results are given for stresses in plates having different thickness to hole diameter ratios and loadings. The results are compared with the available approximate theoretical and experimental results.