707 resultados para integrable hierarchies
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We explore the semi-classical structure of the Wigner functions ($\Psi $(q, p)) representing bound energy eigenstates $|\psi \rangle $ for systems with f degrees of freedom. If the classical motion is integrable, the classical limit of $\Psi $ is a delta function on the f-dimensional torus to which classical trajectories corresponding to ($|\psi \rangle $) are confined in the 2f-dimensional phase space. In the semi-classical limit of ($\Psi $ ($\hslash $) small but not zero) the delta function softens to a peak of order ($\hslash ^{-\frac{2}{3}f}$) and the torus develops fringes of a characteristic 'Airy' form. Away from the torus, $\Psi $ can have semi-classical singularities that are not delta functions; these are discussed (in full detail when f = 1) using Thom's theory of catastrophes. Brief consideration is given to problems raised when ($\Psi $) is calculated in a representation based on operators derived from angle coordinates and their conjugate momenta. When the classical motion is non-integrable, the phase space is not filled with tori and existing semi-classical methods fail. We conjecture that (a) For a given value of non-integrability parameter ($\epsilon $), the system passes through three semi-classical regimes as ($\hslash $) diminishes. (b) For states ($|\psi \rangle $) associated with regions in phase space filled with irregular trajectories, ($\Psi $) will be a random function confined near that region of the 'energy shell' explored by these trajectories (this region has more than f dimensions). (c) For ($\epsilon \neq $0, $\hslash $) blurs the infinitely fine classical path structure, in contrast to the integrable case ($\epsilon $ = 0, where $\hslash $ )imposes oscillatory quantum detail on a smooth classical path structure.
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The dissertation studies state support for artists in the context of the societal process of producing definitions of the artist. It examines the dimensions of and conditions for the power of definition inherent in the Nordic model of artists' support. The dissertation consists of a summary in Finnish and five articles published in English. The theoretical framework is based on Pierre Bourdieu's theory of the fields of cultural production and the concept of artistic classification systems introduced by Paul DiMaggio. The framework also makes use of the analyses by Per Mangset and Dag Solhjell of the relationship between Norwegian artistic fields and the state policy of supporting art. The study assumes that an examination of the formulation and content of the policy of support is insufficient, and extends the analysis to the implementation of the policy both at the level of the structures of decision making and at the level of actual decisions and their impacts. The analysis of the economic dimension of the definition power of artists' support uses register-based data on artists' financial situation. Survey data is used in studying the attitudes of Finnish artists toward state support for artists. The analysis of the Nordic policy of supporting artists uses data based on documents and interviews concerning the formulation and implementation of the policy in Denmark, Finland, Norway and Sweden. The cross-country comparison contributes to identifying the specific features of the Finnish policy of supporting artists from the point of view of its potential power of definition. The study concludes that the legitimating arguments, goals and means of the policy of supporting artists, as well as the structures and actions of the bodies implementing the policy, have an impact on the formulation of definitions of the artist. For example, a relevant factor in this context seems to be the way in which the relationship between various fields of art and the system of support is organized. According to the comparative analysis, the greater the correspondence between the administrative structures of decision making and the organizational structure of artistic fields, the greater the resistance to change regarding the artistic categories produced. By contrast, those structures of decision making which require negotiations and compromises between various interests have produced artistic categories that have been more inclined to change. The development of the Finnish system of artists' support over the past few decades can be described as a slow expansion towards new areas of art. However, the demarcations and hierarchies between various fields of art have not lost their significance, and state support for artists still concentrates on the same areas as it did when the policy of supporting artists was established. State support always contains an element of power. According to the study, the Nordic policy of supporting artists has both the material and symbolic power to participate in the production of societal definitions of the artist. The legitimating arguments, goals and means of the Finnish artists' support, as well as the criteria for granting it, strengthen the symbolic dimension of this power also in terms of the symbolic capital valued by the artistic fields. In this sense, it can be said that the state is one of the actors in the Finnish fields of art. The symbolic dimension of the definition power of artists' support is, however, in the last instance derived from the artistic fields, and reinforces on its part the definition power of these fields.
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The density of states n(E) is calculated for a bound system whose classical motion is integrable, starting from an expression in terms of the trace of the time-dependent Green function. The novel feature is the use of action-angle variables. This has the advantages that the trace operation reduces to a trivial multiplication and the dependence of n(E) on all classical closed orbits with different topologies appears naturally. The method is contrasted with another, not applicable to integrable systems except in special cases, in which quantization arises from a single closed orbit which is assumed isolated and the trace taken by the method of stationary phase.
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Compare your last night of theatre with your first. Like internet dating, the consummation is the same, but the rules of engagement have changed. A decade of ‘independent seasons’ nested within our mainstages has littered the moat-like foyers of our state-funded theatres with couches, reshaped their intractable prosceniums into new configurations and collapsed many of the traditional artform hierarchies.
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The coherent quantum evolution of a one-dimensional many-particle system after slowly sweeping the Hamiltonian through a critical point is studied using a generalized quantum Ising model containing both integrable and nonintegrable regimes. It is known from previous work that universal power laws of the sweep rate appear in such quantities as the mean number of excitations created by the sweep. Several other phenomena are found that are not reflected by such averages: there are two different scaling behaviors of the entanglement entropy and a relaxation that is power law in time rather than exponential. The final state of evolution after the quench is not characterized by any effective temperature, and the Loschmidt echo converges algebraically for long times, with cusplike singularities in the integrable case that are dynamically broadened by nonintegrable perturbations.
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Biopower, Otherness and Women's Agency in Assisted Reproduction. This sociological study analyses how, why and with what kind of consequences assisted reproductive technologies (ART) have become the primary technology for governing infertility in Finland both on the level of individuals and society. The phenomenon is construed as one the strategies of the Focaultian biopower since ART are political techniques of the beginning of life par excellence, as they are used to prepare the bodies of certain types of women to create certain kind of life, i.e. certain kind of children. Moreover, ART are interpreted to be gendered control techniques with which the pure, and at the same time prevailing, social order symbolised by a female body is maintained by naming and excluding otherness, unsuitable mother candidates and children. Finally, it is considered how the agency, subjectivity, of women experiencing infertility and seeking treatment appears in the prevailing context of ART. The introduction of IVF-based reproductive technologies to Finland and the treatment practices of the early 1990s have been studied on the basis of a clinic questionnaire, medical doctor interviews and articles of the Medical Journal Duodecim from 1969 to 2000. Opinions on the method of the treatment providers were studied by conducting a theme interview with fertilisation doctors in 1993. Experiences of women who have received treatment or experienced infertility were studied by means of a survey in 1994 and by analysing the content of messages in an online discussion forum in 2000. On the basis of the medical doctor interviews, significant criterion for choosing mother candidates turned out to be her vitality and her mental and physical health, which are considered prerequisites for a vitality of the child to be born. The hierarchies concerning children became evident. While people normally make their children on their own, this is what people experiencing infertility are trying to do as well. In the era of ART, the primary child is genetically the parents' own child, a secondary option for Finnish parents is a genetically Finnish child conceived by donated Finnish gametes or embryos and the last option is an adopted child of foreign origin. Women's agency mainly appears in their way of using ART as a technology of the self for self-control on one's own nature, which helps them to prepare their bodies in order to become pregnant in co-operation with a fertilisation doctor. Women's creative free agency exceeding governance appeared as a distinctive use of language with which they created shared meaning for their infertility experience, their own individual and group identity and distinctive reality. ART are very political techniques as they have a possibility to change the methods of having children and to shape life. Therefore, further sociological research on them is important and needed. Key words: practises of assisted reproduction, women's agency, biopower, vital politics of the beginning of life, otherness
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This study examines gender as a dimension of group divisions and differences in physical education (PE) lessons at school. The aim is to look at those structures and practices which direct the ways the girls and the boys move their bodies at secondary school in 2000’s while growing up to become women and men. Theoretically, the goal is to clarify how the social is inscribed to the bodies in the context of physical education lessons at school. This ethnographic study was conducted in the physical education lessons of 7th graders (13-14-year-olds) by observing the everyday life in five PE groups and by interviewing pupils (N=27) and their teachers (N=2). This method has given the researcher “a sense of the game”; an embodied experience of the feel for the game of the studied phenomenon. The access to the contextual “positions of expertise” does not seem to be socially and materially equally distributed in physical education. In PE the criteria of inclusion and exclusion were intertwined with physical skills and friendships, these hierarchies becoming visible in the situations of team choice in PE lessons. Not all families have possibilities to enable their children to participate in expensive leisure sports activities. Therefore the family’s societal position is in relation to the construction of leisure time activities. The access to certain possibilities demands time and money. In Finland the physical education is mainly carried out in differentiated groups for girls and boys. In physical education, the gender-differentiated groups, and partially the different practices of these groups activate, and on the other hand suppress, situations of gender related borderwork. In this research, both pupils and PE teachers repeatedly mentioned the naturality of the differences while speaking about gender. The differences were also restored to gender. I apply Erving Goffman’s dramaturgical view to the social situations, ethnographic fieldwork and interviews. My central statement is that in ethnography the audience has access to the backstage of the researcher since reporting does not follow the traditional division to the public and the private.
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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 1980s and the early 1990s have proved to be an important turning point in the history of the Nordic welfare states. After this breaking point, the Nordic social order has been built upon a new foundation. This study shows that the new order is mainly built upon new hierarchies and control mechanisms that have been developed consistently through economic and labour market policy measures. During the post-war period Nordic welfare states to an increasing extent created equality of opportunity and scope for agency among people. Public social services were available for all and the tax-benefit system maintained a level income distribution. During this golden era of Nordic welfare state, the scope for agency was, however, limited by social structures. Public institutions and law tended to categorize people according to their life circumstances ascribing them a predefined role. In the 1980s and 1990s this collectivist social order began to mature and it became subject to political renegotiation. Signs of a new social order in the Nordic countries have included the liberation of the financial markets, the privatizing of public functions and redefining the role of the public sector. It is now possible to reassess the ideological foundations of this new order. As a contrast to widely used political rhetoric, the foundation of the new order has not been the ideas of individual freedom or choice. Instead, the most important aim appears to have been to control and direct people to act in accordance with the rules of the market. The various levels of government and the social security system have been redirected to serve this goal. Instead of being a mechanism for redistributing income, the Nordic social security system has been geared towards creating new hierarchies on the Nordic labour markets. During the past decades, conditions for receiving income support and unemployment benefit have been tightened in all Nordic countries. As a consequence, people have been forced to accept deteriorating terms and conditions on the labour market. Country-specific variations exist, however: in sum Sweden has been most conservative, Denmark most innovative and Finland most radical in reforming labour market policy. The new hierarchies on the labour market have co-incided with slow or non-existent growth of real wages and with a strong growth of the share of capital income. Slow growth of real wages has kept inflation low and thus secured the value of capital. Societal development has thus progressed from equality of opportunity during the age of the welfare states towards a hierarchical social order where the majority of people face increasing constraints and where a fortunate minority enjoys prosperity and security.
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Mainstream research on management generally continues to ignore gender relations. Even so, over recent years there has been a major growth of international research on gender relations in organizations. Yet, most of this has focused on gender relations in lower or middle levels rather than at the apex of the organization. This book draws on research on gender policies, structures and practices of management in large Finnish corporations. It builds on earlier survey work of gender policies in the 100 largest corporations in Finland, to examine, through qualitative interviews, more detailed gendered processes in seven selected corporations. These represent corporations that are ‘relatively active’, ‘moderately active’, and ‘not active’ in relation to gender equality. Key issues include contrasts between formal policies and organizational practices; different corporate contexts and individual managers’ views; definition and scope of gender policy; and the relation of gender policies and diversity policy. This focus on gender policies is understood and located within organizational structures, most obviously gendered corporate hierarchies. Important structures include national context in relation to transnationalization, relations of headquarters and subsidiaries, and interrelations of management, policy development and policy implementation. Gender relations in practice and gender practices are considered in more detail. These women and men managers operate at the intersections of gendered transnational managerial work, careers and family-type relations, including marriage and children, or lack thereof. Women and men managers may be part of the same management levels or management teams, but have totally different family-type situations and gendered experiences. Interconnections of management, domestic life and transnationalizations are intensely gendered matters. The debate on the public/private continues to be important for both gender relations and organizational relations, but complicated through transnationalizations. The modern transnational corporation is considered in terms of gender divisions and gender power, with particular reference to top management. The concluding discussion notes implications for research and policy.
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Reorganizing a dataset so that its hidden structure can be observed is useful in any data analysis task. For example, detecting a regularity in a dataset helps us to interpret the data, compress the data, and explain the processes behind the data. We study datasets that come in the form of binary matrices (tables with 0s and 1s). Our goal is to develop automatic methods that bring out certain patterns by permuting the rows and columns. We concentrate on the following patterns in binary matrices: consecutive-ones (C1P), simultaneous consecutive-ones (SC1P), nestedness, k-nestedness, and bandedness. These patterns reflect specific types of interplay and variation between the rows and columns, such as continuity and hierarchies. Furthermore, their combinatorial properties are interlinked, which helps us to develop the theory of binary matrices and efficient algorithms. Indeed, we can detect all these patterns in a binary matrix efficiently, that is, in polynomial time in the size of the matrix. Since real-world datasets often contain noise and errors, we rarely witness perfect patterns. Therefore we also need to assess how far an input matrix is from a pattern: we count the number of flips (from 0s to 1s or vice versa) needed to bring out the perfect pattern in the matrix. Unfortunately, for most patterns it is an NP-complete problem to find the minimum distance to a matrix that has the perfect pattern, which means that the existence of a polynomial-time algorithm is unlikely. To find patterns in datasets with noise, we need methods that are noise-tolerant and work in practical time with large datasets. The theory of binary matrices gives rise to robust heuristics that have good performance with synthetic data and discover easily interpretable structures in real-world datasets: dialectical variation in the spoken Finnish language, division of European locations by the hierarchies found in mammal occurrences, and co-occuring groups in network data. In addition to determining the distance from a dataset to a pattern, we need to determine whether the pattern is significant or a mere occurrence of a random chance. To this end, we use significance testing: we deem a dataset significant if it appears exceptional when compared to datasets generated from a certain null hypothesis. After detecting a significant pattern in a dataset, it is up to domain experts to interpret the results in the terms of the application.
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Hamiltonian systems in stellar and planetary dynamics are typically near integrable. For example, Solar System planets are almost in two-body orbits, and in simulations of the Galaxy, the orbits of stars seem regular. For such systems, sophisticated numerical methods can be developed through integrable approximations. Following this theme, we discuss three distinct problems. We start by considering numerical integration techniques for planetary systems. Perturbation methods (that utilize the integrability of the two-body motion) are preferred over conventional "blind" integration schemes. We introduce perturbation methods formulated with Cartesian variables. In our numerical comparisons, these are superior to their conventional counterparts, but, by definition, lack the energy-preserving properties of symplectic integrators. However, they are exceptionally well suited for relatively short-term integrations in which moderately high positional accuracy is required. The next exercise falls into the category of stability questions in solar systems. Traditionally, the interest has been on the orbital stability of planets, which have been quantified, e.g., by Liapunov exponents. We offer a complementary aspect by considering the protective effect that massive gas giants, like Jupiter, can offer to Earth-like planets inside the habitable zone of a planetary system. Our method produces a single quantity, called the escape rate, which characterizes the system of giant planets. We obtain some interesting results by computing escape rates for the Solar System. Galaxy modelling is our third and final topic. Because of the sheer number of stars (about 10^11 in Milky Way) galaxies are often modelled as smooth potentials hosting distributions of stars. Unfortunately, only a handful of suitable potentials are integrable (harmonic oscillator, isochrone and Stäckel potential). This severely limits the possibilities of finding an integrable approximation for an observed galaxy. A solution to this problem is torus construction; a method for numerically creating a foliation of invariant phase-space tori corresponding to a given target Hamiltonian. Canonically, the invariant tori are constructed by deforming the tori of some existing integrable toy Hamiltonian. Our contribution is to demonstrate how this can be accomplished by using a Stäckel toy Hamiltonian in ellipsoidal coordinates.
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This study explores labour relations between domestic workers and employers in India. It is based on interviews with both employers and workers, and ethnographically oriented field work in Jaipur, carried out in 2004-2007. Combining development studies with gender studies, labour studies, and childhood studies, it asks how labour relations between domestic workers and employers are formed in Jaipur, and how female domestic workers trajectories are created. Focusing on female part-time maids and live-in work arrangements, the study analyses children s work in the context of overall work force, not in isolation from it. Drawing on feminist Marxism, domestic labour relations are seen as an arena of struggle. The study takes an empirical approach, showing class through empiria and shows how paid domestic work is structured and stratified through intersecting hierarchies of class, caste, gender, age, ethnicity and religion. The importance of class in domestic labour relations is reiterated, but that of caste, so often downplayed by employers, is also emphasized. Domestic workers are crucial to the functioning of middle and upper middle class households, but their function is not just utilitarian. Through them working women and housewives are able to maintain purity and reproduce class disctinctions, both between poor and middle classes and lower and upper middle classes. Despite commodification of work relations, traditional elements of service relationships have been retained, particularly through maternalist practices such as gift giving, creating a peculiar blend of traditional and market practices. Whilst employers of part-time workers purchase services in a segmented market from a range of workers for specific, traditional live-in workers are also hired to serve employers round the clock. Employers and workers grudgingly acknowledged their dependence on one another, employers seeking various strategies to manage fear of servant crime, such as the hiring of children or not employing live-in workers in dual-earning households. Paid domestic work carries a heavy stigma and provide no entry to other jobs. It is transmitted from mothers to daughters and working girls were often the main income providers in their families. The diversity of working conditions is analysed through a continuum of vulnerability, generic live-in workers, particularly children and unmarried young women with no close family in Jaipur, being the most vulnerable and experienced part-time workers the least vulnerable. Whilst terms of employment are negotiated informally and individually, some informal standards regarding salary and days off existed for maids. However, employers maintain that workings conditions are a matter of individual, moral choice. Their reluctance to view their role as that of employers and the workers as their employees is one of the main stumbling blocks in the way of improved working conditions. Key words: paid domestic work, India, children s work, class, caste, gender, life course
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Various Tb theorems play a key role in the modern harmonic analysis. They provide characterizations for the boundedness of Calderón-Zygmund type singular integral operators. The general philosophy is that to conclude the boundedness of an operator T on some function space, one needs only to test it on some suitable function b. The main object of this dissertation is to prove very general Tb theorems. The dissertation consists of four research articles and an introductory part. The framework is general with respect to the domain (a metric space), the measure (an upper doubling measure) and the range (a UMD Banach space). Moreover, the used testing conditions are weak. In the first article a (global) Tb theorem on non-homogeneous metric spaces is proved. One of the main technical components is the construction of a randomization procedure for the metric dyadic cubes. The difficulty lies in the fact that metric spaces do not, in general, have a translation group. Also, the measures considered are more general than in the existing literature. This generality is genuinely important for some applications, including the result of Volberg and Wick concerning the characterization of measures for which the analytic Besov-Sobolev space embeds continuously into the space of square integrable functions. In the second article a vector-valued extension of the main result of the first article is considered. This theorem is a new contribution to the vector-valued literature, since previously such general domains and measures were not allowed. The third article deals with local Tb theorems both in the homogeneous and non-homogeneous situations. A modified version of the general non-homogeneous proof technique of Nazarov, Treil and Volberg is extended to cover the case of upper doubling measures. This technique is also used in the homogeneous setting to prove local Tb theorems with weak testing conditions introduced by Auscher, Hofmann, Muscalu, Tao and Thiele. This gives a completely new and direct proof of such results utilizing the full force of non-homogeneous analysis. The final article has to do with sharp weighted theory for maximal truncations of Calderón-Zygmund operators. This includes a reduction to certain Sawyer-type testing conditions, which are in the spirit of Tb theorems and thus of the dissertation. The article extends the sharp bounds previously known only for untruncated operators, and also proves sharp weak type results, which are new even for untruncated operators. New techniques are introduced to overcome the difficulties introduced by the non-linearity of maximal truncations.
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The open development model of software production has been characterized as the future model of knowledge production and distributed work. Open development model refers to publicly available source code ensured by an open source license, and the extensive and varied distributed participation of volunteers enabled by the Internet. Contemporary spokesmen of open source communities and academics view open source development as a new form of volunteer work activity characterized by hacker ethic and bazaar governance . The development of the Linux operating system is perhaps the best know example of such an open source project. It started as an effort by a user-developer and grew quickly into a large project with hundreds of user-developer as contributors. However, in hybrids , in which firms participate in open source projects oriented towards end-users, it seems that most users do not write code. The OpenOffice.org project, initiated by Sun Microsystems, in this study represents such a project. In addition, the Finnish public sector ICT decision-making concerning open source use is studied. The purpose is to explore the assumptions, theories and myths related to the open development model by analysing the discursive construction of the OpenOffice.org community: its developers, users and management. The qualitative study aims at shedding light on the dynamics and challenges of community construction and maintenance, and related power relations in hybrid open source, by asking two main research questions: How is the structure and membership constellation of the community, specifically the relation between developers and users linguistically constructed in hybrid open development? What characterizes Internet-mediated virtual communities and how can they be defined? How do they differ from hierarchical forms of knowledge production on one hand and from traditional volunteer communities on the other? The study utilizes sociological, psychological and anthropological concepts of community for understanding the connection between the real and the imaginary in so-called virtual open source communities. Intermediary methodological and analytical concepts are borrowed from discourse and rhetorical theories. A discursive-rhetorical approach is offered as a methodological toolkit for studying texts and writing in Internet communities. The empirical chapters approach the problem of community and its membership from four complementary points of views. The data comprises mailing list discussion, personal interviews, web page writings, email exchanges, field notes and other historical documents. The four viewpoints are: 1) the community as conceived by volunteers 2) the individual contributor s attachment to the project 3) public sector organizations as users of open source 4) the community as articulated by the community manager. I arrive at four conclusions concerning my empirical studies (1-4) and two general conclusions (5-6). 1) Sun Microsystems and OpenOffice.org Groupware volunteers failed in developing necessary and sufficient open code and open dialogue to ensure collaboration thus splitting the Groupware community into volunteers we and the firm them . 2) Instead of separating intrinsic and extrinsic motivations, I find that volunteers unique patterns of motivations are tied to changing objects and personal histories prior and during participation in the OpenOffice.org Lingucomponent project. Rather than seeing volunteers as a unified community, they can be better understood as independent entrepreneurs in search of a collaborative community . The boundaries between work and hobby are blurred and shifting, thus questioning the usefulness of the concept of volunteer . 3) The public sector ICT discourse portrays a dilemma and tension between the freedom to choose, use and develop one s desktop in the spirit of open source on one hand and the striving for better desktop control and maintenance by IT staff and user advocates, on the other. The link between the global OpenOffice.org community and the local end-user practices are weak and mediated by the problematic IT staff-(end)user relationship. 4) Authoring community can be seen as a new hybrid open source community-type of managerial practice. The ambiguous concept of community is a powerful strategic tool for orienting towards multiple real and imaginary audiences as evidenced in the global membership rhetoric. 5) The changing and contradictory discourses of this study show a change in the conceptual system and developer-user relationship of the open development model. This change is characterized as a movement from hacker ethic and bazaar governance to more professionally and strategically regulated community. 6) Community is simultaneously real and imagined, and can be characterized as a runaway community . Discursive-action can be seen as a specific type of online open source engagement. Hierarchies and structures are created through discursive acts. Key words: Open Source Software, open development model, community, motivation, discourse, rhetoric, developer, user, end-user