151 resultados para Martingale representation theorem


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This study investigates the roles of representationand construction in enhancing students' learning in a tectonic design studio.  Students of architecture use 3D CAD, physical models and drawings, either alone or in hybrid combinations in the the design, development and communication of their design process.  Each of these media has intrinsic attributes that limit or enhance students' ability to engage in issues of architecture.  This can have a significant influence on students' learning of conceptual and tectonic design, in particularly in their early years of study.  Tectonic design, as an element of the architectural design process that involves the designerly consideration of issues of construction, is an important skill that is integral to architectural practice.  The unique problem based learning environment of the design studio offers opportunities for the development of deep learning approaches to tectonic design, however these are limited by the way students engage in representational media.  This research is based on an ethnographis case study of a cohort of second year architecture students at Deakin University, Geelong, in 2002.

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This paper reports on a larger study carried out in the island state of Tasmania, Australia, between 1996 and 1998. The research reviewed the impact of the Inclusion of Students with Disabilities Policy (ISDP) within the government school system. The qualitative study describes the interpretations of five key informants: a parent; two teachers—a support teacher and a class teacher—a policy-maker and a university academic, during the early period of the implementation of the ISDP. The visual and literary ‘data stories’ of the research are woven together to narrate inclusive schooling in the Tasmanian context as a ‘detective story’ of the special education knowledge tradition. Drawing from poststructuralist methodology and narrative theory the multi-voiced text is a deliberate attempt to enter into conversations with the reader rather than tell the story. Researching inclusive schooling policy through representation and textual practice, I question dominant research practices in the special education field and populist slogans of ‘inclusion’.

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Research into the heterogeneity of female violent offending is sparse, even though females constitute a growing part of the prisoner population. There is evidence that the majority of female violent offenders display over-controlled traits related to uncharacteristic offending. This hypothesis was explored through a multivariate model, the Pathways Model of Assault, with interview data from 17 female assault offenders. Five different offence types were displayed, reflecting the same offence styles as male offenders. However, only two participants displayed an over-controlled offence type. Qualitative differences within the data suggested that offender rehabilitation should be tailored specifically for different gender needs in addition to the needs suggested by the different offence types.

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The visual representation of multivariate spatial and temporal data is important for interpreting and analyzing historical geographic patterns that change over time. The introduction of geospatial technologies in historical scholarship has challenged the suitability of current visual representations due to the need for greater temporal emphasis and the tracking of historical events over time. This research presents a holistic multivariate approach to historical visual representation for point based historical data. The method has been developed through extending the spatial presence in information graphics and through meaningful spatial classification. This paper demonstrates the benefits gained from integrating historical, geographic, temporal, and attribute data through the development of a case study on the history of Melbourne’s cinema venues between 1946 and 1986.

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The data consists of qualitative interviews regarding international students. It provides insight into the discursive representations of international students in an Australian university setting. This data provides a critique of institutional discourses that are informed by race, culture and identity, learning constraints and particular constructions of English and offers ways of thinking that enable a movement beyond into the arena of multiplicity and complexity. While this data is of the discursive practices at one institution it is nonetheless suggestive for other universities. It points to the benefits of examining through a postcolonial lens the discursive practices of the institution alongside the subjectivities of students. The mismatch that is evident in this data indicates the need for institutional change if the goal of genuine internationalisation is to be achieved.

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This paper presents a method for converting unrestricted fiction text into a time-based graphical form. Key concepts extracted from the text are used to formulate constraints describing the interaction of entities in a scene. The solution of these constraints over their respective time intervals provides the trajectories for these entities in a graphical representation.

Three types of entity are extracted from fiction books to describe the scene, namely Avatars, Areas and Objects. We present a novel method for modeling the temporal aspect of a fiction story using multiple time-line representations after which the information extracted regarding entities and time-lines is used to formulate constraints. A constraint solving technique based on interval arithmetic is used to ensure that the behaviour of the entities satisfies the constraints over multiple universally quantified time intervals. This approach is demonstrated by finding solutions to multiple time-based constraints, and represents a new contribution to the field of Text-to-Scene conversion. An example of the automatically produced graphical output is provided in support of our constraint-based conversion scheme.

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In this comment, we will point out some errors existing in Chen and Jiao (2010) from definitions to the proof of the main result, where the authors discussed the finite-time stability of stochastic nonlinear systems and proved a Lyapunov theorem on the finitetime stability.

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The paper interrogates the literature on online cultural and religious identities through a critical engagement of Stuart Hall's work on new ethnicity and regimes of representation. It suggests that this literature conflates Hall's notion of ‘new ethnicity’ with one that argues that online cultural and religious identities are ‘new’ because of transnational and global processes, the pervasiveness of computer-mediated communication and the global mobility of immigrants. Thus, current research on online ethnic and religious identities underestimates the complexity of Hall's concept and to highlight this complexity we ponder the extent to which new online ethnicities – as expressed in the current literature – reflect, construct or renegotiate so-called offline ethnicities. The paper concludes that online ethnic subjectivities, while providing alternative representations to counteract the dominant racist discourse within host societies, still reflect mimic essentialist voices.

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Rate is an important, but difficult, mathematical concept. Despite more than 20 years of research, especially with calculus students, difficulties are reported with this concept. This paper reports the results from analysis of data from 20 Australian Grade 10 students. Interviews targeted students’ conceptions of rate, focussing on the influence of representation and context on their expression of their understanding of rate. This analysis shows that different representations of functions provide varying levels of rate-related information for individual students. Understandings of rate in one representation or context are not necessarily transferred to another representation or context. Rate is an important, but commonly misunderstood, mathematical concept with many everyday applications (Swedosh, Dowsey, Caruso, Flynn, & Tynan, 2007). It is a complicated concept comprising many interwoven ideas such as the ratio of two numeric, measurable quantities but in a context where both quantities are changing. In mathematics classes, this is commonly expressed as change in the dependent variable resulting from a unit change in the independent variable, and variously described as constant or variable rate; average or instantaneous rate. In addition, rate may be seen as a purely abstract mathematical notion or embedded in the understanding of real-world applications. This paper explores the research question: Are students’ expressions of their conceptions of rate affected by either context or mathematical representation? This question was part of a larger study (Herbert, 2010) conducted with Grade 10 students from the Australian state of Victoria.

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This paper focuses on the finite-time stability and stabilization designs of stochastic nonlinear systems. We first present and discuss a definition on the finite-time stability in probability of stochastic nonlinear systems, then we introduce a stochastic Lyapunov theorem on the finite-time stability, which has been established by Yin et al. We also employ this theorem to design a continuous state feedback controller that makes a class of stochastic nonlinear systems to be stable in finite time. An example and a simulation are given to illustrate the theoretical analysis.

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The sport industry has identified the importance of using the internet as a tool that can benefit the organisation. Much like the purpose of entering into sponsorship of sporting events, corporate partners are also attracted to the opportunities that professional sport team websites offer to fulfil similar objectives. The major purpose of this research is to explore the various ways in which sponsor logos are represented across professional sport websites and to extend previous advertising research, specifically the work developing advertising attribute typologies. The subjects for this research are professional sport websites and a qualitative approach is adopted with a content analysis as the main method of analysis used. To ensure reliability and validity within the coding instruments used, percentage agreement and Cohen’s kappa were adopted as indexes to verify this. The findings show sponsors’ logos exist on most professional sport websites and are represented in a variety of ways. Furthermore, a typology for sponsor representation and location across sport websites has been established to present a reliable foundation for future research in the area of consumer attitudes, behaviour and response towards sponsors and their presence on sport websites.

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n-dimensional fuzzy sets are an extension of fuzzy sets that includes interval-valued fuzzy sets and interval-valued Atanassov intuitionistic fuzzy sets. The membership values of n-dimensional fuzzy sets are n-tuples of real numbers in the unit interval [0,1], called n-dimensional intervals, ordered in increasing order. The main idea in n-dimensional fuzzy sets is to consider several uncertainty levels in the memberships degrees. Triangular norms have played an important role in fuzzy sets theory, in the narrow as in the broad sense. So it is reasonable to extend this fundamental notion for n-dimensional intervals. In interval-valued fuzzy theory, interval-valued t-norms are related with t-norms via the notion of t-representability. A characterization of t-representable interval-valued t-norms is given in term of inclusion monotonicity. In this paper we generalize the notion of t-representability for n-dimensional t-norms and provide a characterization theorem for that class of n-dimensional t-norms. © 2011 Springer-Verlag Berlin Heidelberg.

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Multimedia information is now routinely available in the forms of text, pictures, animation and sound. Although text objects are relatively easy to deal with (in terms of information search and retrieval), other information bearing objects (such as sound, images, animation) are more difficult to index. Our research is aimed at developing better ways of representing multimedia objects by using a conceptual representation based on Schank's conceptual dependencies. Moreover, the representation allows for users' individual interpretations to be embedded in the system. This will alleviate the problems associated with traditional semantic networks by allowing for coexistence of multiple views of the same information. The viability of the approach is tested, and the preliminary results reported.