843 resultados para Sobolev Spaces Besov Spaces Carnot Groups Sub-Laplacians


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Increasingly the health and welfare needs of individuals and communities are being met by third sector, or not-for-profit, organizations. Since the 1980s third sector organizations have been subject to significant, sector-wide changes, such as the development of contractual funding and an increasing need to collaborate with governments and other sectors. In particular, the processes of ‘professionalization’ and ‘bureaucratization’ have received significant attention and are now well documented in third sector literature. These processes are often understood to create barriers between organizations and their community groups and neutralize alternative forms of service provision. In this article we provide a case study of an Australian third sector organization undergoing professionalization. The case study draws on ethnographic and qualitative interviews with staff and volunteers at a health-based third sector organization involved in service provision to marginalized community groups. We examine how professionalization alters organizational spaces and dynamics and conclude that professionalized third sector spaces may still be ‘community’ spaces where individuals may give and receive care and services. Moreover, we suggest that these community spaces hold potential for resisting the neutralizing effects of contracting.

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Location based games (LBGs) provide an opportunity to look at how new technologies can support a reciprocal relationship between formal classroom learning and learning that can potentially occur in other everyday environments. Fundamentally many games are intensely engaging due to the resulting social interactions and technical challenges they provide to individual and group players. By introducing the use of mobile devices we can transport these characteristics of games into everyday spaces. LBGs are understood as a broad genre incorporating ideas and tools that provide many unique opportunities for us to to reveal, create and even subvert various social, cultural, technical, and scientific interpretations of place, in particular places where learning is sometimes problematic.--------- A team of Queensland game developers have learnt a great deal through designing a range of LBGs such as SCOOT for various user groups and places. While these LBGs were primarily designed as social events, we found that the players recognised and valued the game as an opportunity to learn about their environment, it's history, cultural significance, inhabitants, services etc. Since identifying the strong pedagogical outcomes of LBGs, the team has created a set of authoring tools for people to design and host their own LBGs. A particular version of this is known as MiLK the mobile learning kit for schools.---------- This presentation will include examples of how LBGs have been used to improve the teaching and learning outcomes in various contexts. Participants will be introduced to MiLK and invited to trial it in their own classrooms with students.

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Current knowledge about the relationship between transport disadvantage and activity space size is limited to urban areas, and as a result, very little is known to date about this link in a rural context. In addition, although research has identified transport disadvantaged groups based on their size of activity spaces, these studies have, however, not empirically explained such differences and the result is often a poor identification of the problems facing disadvantaged groups. Research has shown that transport disadvantage varies over time. The static nature of analysis using the activity space concept in previous research studies has lacked the ability to identify transport disadvantage in time. Activity space is a dynamic concept; and therefore possesses a great potential in capturing temporal variations in behaviour and access opportunities. This research derives measures of the size and fullness of activity spaces for 157 individuals for weekdays, weekends, and for a week using weekly activity-travel diary data from three case study areas located in rural Northern Ireland. Four focus groups were also conducted in order to triangulate the quantitative findings and to explain the differences between different socio-spatial groups. The findings of this research show that despite having a smaller sized activity space, individuals were not disadvantaged because they were able to access their required activities locally. Car-ownership was found to be an important life line in rural areas. Temporal disaggregation of the data reveals that this is true only on weekends due to a lack of public transport services. In addition, despite activity spaces being at a similar size, the fullness of activity spaces of low-income individuals was found to be significantly lower compared to their high-income counterparts. Focus group data shows that financial constraint, poor connections both between public transport services and between transport routes and opportunities forced individuals to participate in activities located along the main transport corridors.

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Current knowledge about the relationship between transport disadvantage and activity space size is limited to urban areas, and as a result, very little is known about this link in a rural context. In addition, although research has identified transport disadvantaged groups based on their size of activity space, these studies have, however, not empirically explained such differences and the result is often a poor identification of the problems facing disadvantaged groups. Research has shown that transport disadvantage varies over time. The static nature of analysis using the activity space concept in previous research studies has lacked the ability to identify transport disadvantage in time. Activity space is a dynamic concept; and therefore possesses a great potential in capturing temporal variations in behaviour and access opportunities. This research derives measures of the size and fullness of activity spaces for 157 individuals for weekdays, weekends, and for a week using weekly activity-travel diary data from three case study areas located in rural Northern Ireland. Four focus groups were also conducted in order to triangulate quantitative findings and to explain the differences between different socio-spatial groups. The findings of this research show that despite having a smaller sized activity space, individuals were not disadvantaged because they were able to access their required activities locally. Car-ownership was found to be an important life line in rural areas. Temporal disaggregation of the data reveals that this is true only on weekends due to a lack of public transport services. In addition, despite activity spaces being at a similar size, the fullness of activity spaces of low-income individuals was found to be significantly lower compared to their high-income counterparts. Focus group data shows that financial constraint, poor connections both between public transport services and between transport routes and opportunities forced individuals to participate in activities located along the main transport corridors.

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This paper aims to inform design strategies for smart space technology to enhance libraries as environments for co-working and informal social learning. The focus is on understanding user motivations, behaviour, and activities in the library when there is no programmed agenda. The study analyses gathered data over five months of ethnographic research at ‘The Edge’ – a bookless library space at the State Library of Queensland in Brisbane, Australia, that is explicitly dedicated to co-working, social learning, peer collaboration, and creativity around digital culture and technology. The results present five personas that embody people’s main usage patterns as well as motivations, attitudes, and perceived barriers to social learning. It appears that most users work individually or within pre-organised groups, but usually do not make new connections with co-present, unacquainted users. Based on the personas, four hybrid design dimensions are suggested to improve the library as a social interface for shared learning encounters across physical and digital spaces. The findings in this paper offer actionable knowledge for managers, decision makers, and designers of technology-enhanced library spaces and similar collaboration and co-working spaces.

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The purpose of the Reimagining Learning Spaces project was to conduct an empirical study that would result in findings to inform the design and use of physical school facilities and examine the ways in which these constructions influence pedagogy. The study focused on newly-established school libraries in Queensland, many of which had been established with funding from the Federal Government’s Building the Education Revolution economic stimulus program. To explore the field, the study sought multiple perspectives that included those of school students as well as teacher-librarians and other key school staff, addressing the following focus question: - How does the physical environment of school libraries influence pedagogic practices and learning outcomes? Further research questions that guided the inquiry included: - What are the implications for teacher-librarians when transitioning into a new library learning space? - How do members of the school community (principals, teachers, teacher-librarians and students) experience the creation of a new school library learning space? - How do school students imagine the design and use of engaging library learning spaces? An extensive review explored Australian and international literature based on the research questions, focused on the following major areas: • School library renewal: trends in reimagining the place of libraries in virtual and real space • School libraries as learning spaces: the expanded role of school libraries in whole-school pedagogical support. • The role of teacher-librarians in new times • Built environments and the implications for learning • Learners and learning in newly established spaces • Learning space design: perspectives, research and principles • Pedagogical principles and voices of experience • Transitions to newly created learning spaces Approach Using an innovative qualitative research design, Reimagining Learning Spaces investigated learner and teacher perspectives across three intersecting domains exploring: - Imagined spaces: learners’ imaginative concepts of learning within engaging learning environments; - Emerging spaces: experiences of teacher-librarians in the transition into new spaces for learning, and - Established spaces: learners’ and teachers’ perceptions of ways in which the physical environment influences and shapes pedagogy. Seven schools that had recently benefitted from the BER program became the research sites at which data were collected from teacher-librarians, teachers, school leaders and students. With this range of participants, an appropriately diverse set of data collection tools was developed, including video interviews, drawings, and focus groups. Evocative narrative case studies (Simons 2009) were developed from the data, representing the voices of users of learning spaces. Key findings The study’s findings are presented in this report and complemented by an array of visual materials on the project web site http:// The report includes: • a set of seven cases studies that reveal nuanced experiences of designing and creating school libraries, based on the narrative of key stakeholders (teacher-librarians, teachers, students and principals) • thematic discussion of student imaginings of their ideal school library, based on drawings and narrative of students at the seven case study schools • critical analysis of the case study and student imaginings, focusing on implications for (re)designing school learning spaces and pedagogy, and responding to the study’s overarching research question - .17 recommendations to support: designing, transitioning and reimagining pedagogy; leadership; and policy development

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Academic and professional staff at Queensland University of Technology (QUT) have been faced with the challenge of how to create engaging student experiences in collaborative learning spaces. In 2013 a new Bachelor of Science course was implemented focusing on inquiry-based, collaborative and active learning. Student groups in two of the first year units carried out a poster assessment task. This paper provides a preliminary evaluation of the assessment approach used, whereby students created dynamic digital posters to capitalise on the affordances of the learning space.

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Educational spaces across the world largely continue to be designed with little variance from the traditional industrial classroom model, and pedagogies seem stuck somewhere between the Sage-on-the-Stage, lecture-dominated paradigm, and the Guide-on-the-Side, in which the instructor acts primarily as an aide watching, encouraging, and monitoring students working on projects individually or in groups. Rather than “reinventing the wheel,” the authors argue for an academic environment based on the British coffee house or French café of the 18th and 19th centuries. Not only should this 21st-century classroom offer an innovative melding of space and technology but also introduce a new pedagogical model. The Meddler-in-the-Middle model repositions the teacher and students as co-facilitators in the creation and use of knowledge in an environment where bodies move seamlessly in and out of collegial collaborations filled with free-to-fail open debate.

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Toeplitz operators are among the most important classes of concrete operators with applications to several branches of pure and applied mathematics. This doctoral thesis deals with Toeplitz operators on analytic Bergman, Bloch and Fock spaces. Usually, a Toeplitz operator is a composition of multiplication by a function and a suitable projection. The present work deals with generalizing the notion to the case where the function is replaced by a distributional symbol. Fredholm theory for Toeplitz operators with matrix-valued symbols is also considered. The subject of this thesis belongs to the areas of complex analysis, functional analysis and operator theory. This work contains five research articles. The articles one, three and four deal with finding suitable distributional classes in Bergman, Fock and Bloch spaces, respectively. In each case the symbol class to be considered turns out to be a certain weighted Sobolev-type space of distributions. The Bergman space setting is the most straightforward. When dealing with Fock spaces, some difficulties arise due to unboundedness of the complex plane and the properties of the Gaussian measure in the definition. In the Bloch-type spaces an additional logarithmic weight must be introduced. Sufficient conditions for boundedness and compactness are derived. The article two contains a portion showing that under additional assumptions, the condition for Bergman spaces is also necessary. The fifth article deals with Fredholm theory for Toeplitz operators having matrix-valued symbols. The essential spectra and index theorems are obtained with the help of Hardy space factorization and the Berezin transform, for instance. The article two also has a part dealing with matrix-valued symbols in a non-reflexive Bergman space, in which case a condition on the oscillation of the symbol (a logarithmic VMO-condition) must be added.

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We prove a Wiener Tauberian theorem for the L-1 spherical functions on a semisimple Lie group of arbitrary real rank. We also establish a Schwartz-type theorem for complex groups. As a corollary we obtain a Wiener Tauberian type result for compactly supported distributions.

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We study the boundedness of Toeplitz operators on Segal-Bargmann spaces in various contexts. Using Gutzmer's formula as the main tool we identify symbols for which the Toeplitz operators correspond to Fourier multipliers on the underlying groups. The spaces considered include Fock spaces, Hermite and twisted Bergman spaces and Segal-Bargmann spaces associated to Riemannian symmetric spaces of compact type.

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A Riesz space with a Hausdorff, locally convex topology determined by Riesz seminorms is called a locally convex Riesz space. A sequence {xn} in a locally convex Riesz space L is said to converge locally to x ϵ L if for some topologically bounded set B and every real r ˃ 0 there exists N (r) and n ≥ N (r) implies x – xn ϵ rb. Local Cauchy sequences are defined analogously, and L is said to be locally complete if every local Cauchy sequence converges locally. Then L is locally complete if and only if every monotone local Cauchy sequence has a least upper bound. This is a somewhat more general form of the completeness criterion for Riesz – normed Riesz spaces given by Luxemburg and Zaanen. Locally complete, bound, locally convex Riesz spaces are barrelled. If the space is metrizable, local completeness and topological completeness are equivalent.

Two measures of the non-archimedean character of a non-archimedean Riesz space L are the smallest ideal Ao (L) such that quotient space is Archimedean and the ideal I (L) = { x ϵ L: for some 0 ≤ v ϵ L, n |x| ≤ v for n = 1, 2, …}. In general Ao (L) ᴝ I (L). If L is itself a quotient space, a necessary and sufficient condition that Ao (L) = I (L) is given. There is an example where Ao (L) ≠ I (L).

A necessary and sufficient condition that a Riesz space L have every quotient space Archimedean is that for every 0 ≤ u, v ϵ L there exist u1 = sup (inf (n v, u): n = 1, 2, …), and real numbers m1 and m2 such that m1 u1 ≥ v1 and m2 v1 ≥ u1. If, in addition, L is Dedekind σ – complete, then L may be represented as the space of all functions which vanish off finite subsets of some non-empty set.

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A.G. Vulih has shown how an essentially unique intrinsic multiplication can be defined in certain types of Riesz spaces (vector lattices) L. In general, the multiplication is not universally defined in L, but L can always be imbedded in a large space L# in which multiplication is universally defined.

If ф is a normal integral in L, then ф can be extended to a normal integral on a large space L1(ф) in L#, and L1(ф) may be regarded as an abstract integral space. A very general form of the Radon-Nikodym theorem can be proved in L1(ф), and this can be used to give a relatively simple proof of a theorem of Segal giving a necessary and sufficient condition that the Radon-Nikodym theorem hold in a measure space.

In another application, the multiplication is used to give a representation of certain Riesz spaces as rings of operators on a Hilbert space.

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If E and F are real Banach spaces let Cp,q(E, F) O ≤ q ≤ p ≤ ∞, denote those maps from E to F which have p continuous Frechet derivatives of which the first q derivatives are bounded. A Banach space E is defined to be Cp,q smooth if Cp,q(E,R) contains a nonzero function with bounded support. This generalizes the standard Cp smoothness classification.

If an Lp space, p ≥ 1, is Cq smooth then it is also Cq,q smooth so that in particular Lp for p an even integer is C∞,∞ smooth and Lp for p an odd integer is Cp-1,p-1 smooth. In general, however, a Cp smooth B-space need not be Cp,p smooth. Co is shown to be a non-C2,2 smooth B-space although it is known to be C smooth. It is proved that if E is Cp,1 smooth then Co(E) is Cp,1 smooth and if E has an equivalent Cp norm then co(E) has an equivalent Cp norm.

Various consequences of Cp,q smoothness are studied. If f ϵ Cp,q(E,F), if F is Cp,q smooth and if E is non-Cp,q smooth, then the image under f of the boundary of any bounded open subset U of E is dense in the image of U. If E is separable then E is Cp,q smooth if and only if E admits Cp,q partitions of unity; E is Cp,psmooth, p ˂∞, if and only if every closed subset of E is the zero set of some CP function.

f ϵ Cq(E,F), 0 ≤ q ≤ p ≤ ∞, is said to be Cp,q approximable on a subset U of E if for any ϵ ˃ 0 there exists a g ϵ Cp(E,F) satisfying

sup/xϵU, O≤k≤q ‖ Dk f(x) - Dk g(x) ‖ ≤ ϵ.

It is shown that if E is separable and Cp,q smooth and if f ϵ Cq(E,F) is Cp,q approximable on some neighborhood of every point of E, then F is Cp,q approximable on all of E.

In general it is unknown whether an arbitrary function in C1(l2, R) is C2,1 approximable and an example of a function in C1(l2, R) which may not be C2,1 approximable is given. A weak form of C∞,q, q≥1, to functions in Cq(l2, R) is proved: Let {Uα} be a locally finite cover of l2 and let {Tα} be a corresponding collection of Hilbert-Schmidt operators on l2. Then for any f ϵ Cq(l2,F) such that for all α

sup ‖ Dk(f(x)-g(x))[Tαh]‖ ≤ 1.

xϵUα,‖h‖≤1, 0≤k≤q

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Empirical data on the life experiences of contemporary school-age lesbian, gay and bisexual (LGB) young people in Britain remains somewhat sparse. This paper reports the preliminary findings of a study conducted at a recently-initiated LGB youth Summer School. To further an appreciation of issues of concern to today's LGB teenagers, in-depth interviews were conducted with 10 Summer School participants (five female and five male, aged 15-18 years). The aim was to elicit their views and experiences relating to their need for support such as that offered by the Summer School. Themes drawn from participants' interviews are presented. Key issues included: being positioned as different by their majority heterosexual peers; feelings of isolation and loneliness in their peer groups and families; difficulties in finding others like themselves for companionship; and the importance of meeting more LGB people of their own age.