942 resultados para Transformations, Infinitesimal


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An analysis is performed to study the unsteady combined forced and free convection flow (mixed convection flow) of a viscous incompressible electrically conducting fluid in the vicinity of an axisymmetric stagnation point adjacent to a heated vertical surface. The unsteadiness in the flow and temperature fields is due to the free stream velocity, which varies arbitrarily with time. Both constant wall temperature and constant heat flux conditions are considered in this analysis. By using suitable transformations, the Navier-Stokes and energy equations with four independent variables (x, y, z, t) are reduced to a system of partial differential equations with two independent variables (eta, tau). These transformations also uncouple the momentum and energy equations resulting in a primary axisymmetric flow, in an energy equation dependent on the primary flow and in a buoyancy-induced secondary flow dependent on both primary flow and energy. The resulting system of partial differential equations has been solved numerically by using both implicit finite-difference scheme and differential-difference method. An interesting result is that for a decelerating free stream velocity, flow reversal occurs in the primary flow after certain instant of time and the magnetic field delays or prevents the flow reversal. The surface heat transfer and the surface shear stress in the primary flow increase with the magnetic field, but the surface shear stress in the buoyancy-induced secondary flow decreases. Further the heat transfer increases with the Prandtl number, but the surface shear stress in the secondary flow decreases.

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In line with cultural psychology and developmental theory, a single case approach is applied to construct knowledge on how children s interaction emerge interlinked to historical, social, cultural, and material context. The study focuses on the negotiation of constraints and meaning construction among 2-to 3-year-old children, a preschool teacher, and the researcher in settings with water. Water as an element offers a special case of cultural canalization: adults selectively monitor and guide children s access to it. The work follows the socio-cultural tradition in psychology, particularly the co-constructivist theory of human development and the Network of Meanings perspective developed at the University of São Paulo. Valsiner s concepts of Zone of Free Movement and Zone of Promoted Action are applied together with studies where interactions are seen as spaces of construction where negotiation of constraints for actions, emotions, and conceptions occur. The corpus was derived at a Finnish municipal day care centre. During a seven months period, children s actions were video recorded in small groups twice a month. The teacher and the researcher were present. Four sessions with two children were chosen for qualitative microanalysis; the analysis also addressed the transformations during the months covered by the study. Moreover, the data derivation was analyzed reflectively. The narrowed down arenas for actions were continuously negotiated among the participants both nonverbally and verbally. The adults expectations and intentions were materialized in the arrangements of the setting canalizing the possibilities for actions. Children s co-regulated actions emerged in relation to the adults presence, re-structuring attempts, and the constraints of the setting. Children co-constructed novel movements and meanings in relation to the initiatives and objects offered. Gestures, postures, and verbalizations emerged from the initially random movements and became constructed to have specific meanings and functions; meaning construction became abbreviated. The participants attempted to make sense of the ambiguous (explicit and implicit) intentions and fuzzy boundaries of promoted and possible actions: individualized yet overlapping features were continuously negotiated by all the participants. Throughout the months, children s actions increasingly corresponded adults (re-defined) conceptions of water researchers as an emerging group culture. Water became an instrument and a context for co-regulations. The study contributes to discussions on children as participants in cultural canalization and emphasizes the need for analysis in early childhood education practices on the implicit and explicit constraint structures for actions.

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In Estonia, illicit drug use hardly existed before the social changes of the 1990s when, as a result of economic and cultural transformations, the country became part of a world order centred in the West. On the one hand, this development is due to the spread of international youth culture, which many young people have perceived as being associated with drugs; on the other hand, it results from the marginalisation of a part of the population. The empirical part of the study is based mostly on in-depth interviews with different drug users conducted during between 1998 and 2002. Complementary material includes the results of participant observations, interviews with key experts, and the results of previous quantitative studies and statistics. The young people who started experimenting with illicit drugs from the 1990s and onwards perceived them as a part of an attractive lifestyle - a Western lifestyle, a point which is worth stressing in the case of Estonia. Although the reasons for initiation into drug use were similar for the majority of young people, their drug use habits and the impact of the drug use on their lives began to differ. I argue that the potential pleasure and harm which might accompany drug use is offset by the meanings attached to drugs and the sanctions and rituals regulating drug use. In the study both recreational and problem use have been analysed from different aspects in seven articles. I have investigated different types of drug users: new bohemians, cannabis users, in whose case partying and restrictive drug use is positively connected to their lives and goals within established society; stimulant-using party people for whom drugs are a means of having fun but who do not have the same restrictive norms regulating their drug use as the former and who may get into trouble under certain conditions; and heroin users for whom the drug rapidly progressed from a means of having fun to an obligation due to addiction. The research results point at the importance not only of the drug itself and the socio-economic situation of the user, but also of the cultural and social context within which the drug is used. The latter may on occasions be a crucial factor in whether or not initial drug use eventually leads to addiction.

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The Hybrid approach introduced by the authors for at-site modeling of annual and periodic streamflows in earlier works is extended to simulate multi-site multi-season streamflows. It bears significance in integrated river basin planning studies. This hybrid model involves: (i) partial pre-whitening of standardized multi-season streamflows at each site using a parsimonious linear periodic model; (ii) contemporaneous resampling of the resulting residuals with an appropriate block size, using moving block bootstrap (non-parametric, NP) technique; and (iii) post-blackening the bootstrapped innovation series at each site, by adding the corresponding parametric model component for the site, to obtain generated streamflows at each of the sites. It gains significantly by effectively utilizing the merits of both parametric and NP models. It is able to reproduce various statistics, including the dependence relationships at both spatial and temporal levels without using any normalizing transformations and/or adjustment procedures. The potential of the hybrid model in reproducing a wide variety of statistics including the run characteristics, is demonstrated through an application for multi-site streamflow generation in the Upper Cauvery river basin, Southern India. (C) 2004 Elsevier B.V. All rights reserved.

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In this paper, a method of arriving at transformations which convert a class of non-linear systems into equivalent linear systems, has been presented along with suitable examples, which illustrate its application.

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Some transformation reactions of α-pinene to give 4- and 3-membered ring compounds, not hitherto obtained from this source, are described. The study furnished a convenient method of preparation of the optically active cyclobutanone IVa, the title compound which served as the key substrate for all the transformations reported.

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This paper is concerned with a study of some of the properties of locally product and almost locally product structures on a differentiable manifold X n of class C k . Every locally product space has certain almost locally product structures which transform the local tangent space to X n at an arbitrary point P in a set fashion: this is studied in Theorem (2.2). Theorem (2.3) considers the nature of transformations that exist between two co-ordinate systems at a point whenever an almost locally product structure has the same local representation in each of these co-ordinate systems. A necessary and sufficient condition for X n to be a locally product manifold is obtained in terms of the pseudo-group of co-ordinate transformations on X n and the subpseudo-groups [cf., Theoren (2.1)]. Section 3 is entirely devoted to the study of integrable almost locally product structures.

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The boundary-layer type conservation equations of mass, momentum and energy for the steady free turbulent flow in gravitational convection over heat sources are set up for both two-dimensional and axisymmetric cases. These are reduced to ordinary differential equations in a similarity parameter by suitable transformations. The three classical hypotheses of turbulent diffusion-the Constant Exchange Coefficient hypothesis, Prandtl's Momentum Transfer theory and Taylor's Vorticity Transfer theory-are then incorporated into these equations in succession. The resulting equations are solved numerically and the results compared with some experimental results on gravitational convection over heat sources reported by Rouse et al.

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Following the method due to Bhatnagar (P. L.) [Jour. Ind. Inst. Sic., 1968, 1, 50, 1], we have discussed in this paper the problem of suction and injection and that of heat transfer for a viscous, incompressible fluid through a porous pipe of uniform circular cross-section, the wall of the pipe being maintained at constant temperature. The method utilises some important properties of differential equations and some transformations that enable the solution of the two-point boundary value and eigenvalue problems without using trial and error method. In fact, each integration provides us with a solution for a suction parameter and a Reynolds number without imposing the conditions of smallness on them. Investigations on non-Newtonian fluids and on other bounding geometries will be published elsewhere.

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In order to study the elastic behaviour of matter when subjected to very large pressures, such as occur for example in the interior of the earth, and to provide an explanation for phenomena like earthquakes, it is essential to be able to calculate the values of the elastic constants of a substance under a state of large initial stress in terms of the elastic constants of a natural or stress-free state. An attempt has been made in this paper to derive expressions for these quantities for a substance of cubic symmetry on the basis of non-linear theory of elasticity and including up to cubic powers of the strain components in the strain energy function. A simple method of deriving them directly from the energy function itself has been indicated for any general case and the same has been applied to the case of hydrostatic compression. The notion of an effective elastic energy-the energy require to effect an infinitesimal deformation over a state of finite strain-has been introduced, the coefficients in this expression being the effective elastic constants. A separation of this effective energy function into normal co-ordinates has been given for the particular case of cubic symmetry and it has been pointed out, that when any of such coefficients in this normal form becomes negative, elastic instability will set in, with associated release of energy.

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Synthesis, aggregation behavior and in vitro cholesterol solubilization studies of 16-epi-pythocholic acid (3 alpha,12 alpha,16 beta-trihydroxy-5 beta-cholan-24-oic acid, EPCA) are reported. The synthesis of this unnatural epimer of pythocholic acid (3 alpha,12 alpha,16 alpha-trihydroxy-5 beta-cholan-24-oic acid, PCA) involves a series of simple and selective chemical transformations with an overall yield of 21% starting from readily available cholic acid (CA). The critical micellar concentration (CMC) of 16-epi-pythocholate in aqueous media was determined using pyrene as a fluorescent probe. In vitro cholesterol solubilization ability was evaluated using anhydrous cholesterol and results were compared with those of other natural di-and trihydroxy bile acids. These studies showed that 16-epi-pythocholic acid (16 beta-hydroxy-deoxycholic acid) behaves similar to cholic acid (CA) and avicholic acid (3 alpha,7 alpha,16 alpha-trihydroxy-5 beta-cholan-24-oic acid, ACA) in its aggregation behavior and cholesterol dissolution properties. (C) 2010 Elsevier Inc. All rights reserved.

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Let X(t) be a right continuous temporally homogeneous Markov pro- cess, Tt the corresponding semigroup and A the weak infinitesimal genera- tor. Let g(t) be absolutely continuous and r a stopping time satisfying E.( S f I g(t) I dt) < oo and E.( f " I g'(t) I dt) < oo Then for f e 9iJ(A) with f(X(t)) right continuous the identity Exg(r)f(X(z)) - g(O)f(x) = E( 5 " g'(s)f(X(s)) ds) + E.( 5 " g(s)Af(X(s)) ds) is a simple generalization of Dynkin's identity (g(t) 1). With further restrictions on f and r the following identity is obtained as a corollary: Ex(f(X(z))) = f(x) + k! Ex~rkAkf(X(z))) + n-1E + (n ) )!.E,(so un-1Anf(X(u)) du). These identities are applied to processes with stationary independent increments to obtain a number of new and known results relating the moments of stopping times to the moments of the stopped processes.

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This study examines how Finnish foreign and security policy has been influenced by the European Union and its Common Foreign and Security Policy. It points to a growing interplay and misfit between the external expectations originating from the European level and the domestic expectations and traditional ways-of-doing-things. It is concluded that the deepening European integration in the sphere of foreign, security and defence policy has played a significant role in a number of transformations in the Finnish policies since 1995. New, more European, meanings have been attached to the key concepts of Finnish foreign and security policy. Neutrality and traditional peacekeeping have been replaced by a minimalist reading of military non-alignment and participation in crisis management operations and EU battle groups. Traditional small state identity has been recast more and more as small member stateness . At the same time Finland has entered an era of post-consensus in national foreign and security policy. A key theoretical argument in the background of the study is that collective understandings attached to European policies, when not resonating well with domestic understandings, cause adaptation pressures on domestic-level processes and may lead to changes in the way interests and identities are constructed. This means that Europeanization is principally seen as identity reconstruction. Consequently, the theoretical framework of the study builds on the Europeanization research literature and constructivist IR theory on state identity. Foreign and security policy is defined as the practice in which state identity is reproduced, and the key foreign and security policy concepts are seen as the vehicles of identity production. It is concluded that for Finland, participation in the EU s foreign, security and defence policies represents not only a tool for responding to the changes in the international security environment but also a new means of self-identification. Concerning the Finnish attempts of projecting national interests on the European security policy agenda, it is concluded that they mainly relate to the compatibility of the potential development of EU s defence dimension with the Finnish military non-alignment. Although neutrality was cast aside in the official security policy when Finland joined the EU, the analysis shows that its impact has continued in the domestic political debate and in the mind-set of the decision-makers. The primary research material includes official Finnish foreign and security policy documentation and the related parliamentary debates from 1994 to 2007. This study serves also as a comprehensive empirical overview on Finland s reactions and contributions to the EU Common Foreign and Security Policy.

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This contribution suggests that it is possible to describe the transformations of musical style in an analogous way to the transformations of style in language, and also that it can be explained how the ‘musics in contact’ behave in an analogous way to the ‘languages in contact’. According to this idea, the ‘evolution’ of styles in music and in language can be identified and studied as dynamic exchanges in ecological niches. It is suggested, also, that the idiolectic-ecolectic, and acrolectic-basilectic relationships in music and language are functions of cycles in several ‘layers’ and ‘rhythms’. The presence of stylistic varieties and influences in music and in language may imply that they are part of major sign systems within a more complex ecological relationship.

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It has been established by photoemission studies that Ge in obliquely deposited pure Ge and Ge-chalcogenide thin films undergoes predominant photooxidation when irradiated with band gap photons. The role of Ge appears to be that of providing a highly porous low density microstructure and photooxidation seems to be a direct consequence of such large scale porosity in these films. The formation of low vapour pressure oxide fractions of Ge and Te and volatile high vapour pressure oxide fractions of S and Se is responsible for anomalous photoinduced transformations in these films.