216 resultados para initial algebraic concepts


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This study explored kindergarten students’ intuitive strategies and understandings in probabilities. The paper aims to provide an in depth insight into the levels of probability understanding across four constructs, as proposed by Jones (1997), for kindergarten students. Qualitative evidence from two students revealed that even before instruction pupils have a good capacity of predicting most and least likely events, of distinguishing fair probability situations from unfair ones, of comparing the probability of an event in two sample spaces, and of recognizing conditional probability events. These results contribute to the growing evidence on kindergarten students’ intuitive probabilistic reasoning. The potential of this study for improving the learning of probability, as well as suggestions for further research, are discussed.

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Purpose – The purpose of this paper is to propose and demonstrate the relevance of marketing systems, notably the process of product management and innovation, to urban development challenges. Design/methodology/approach – A macromarketing perspective is adopted to construe the city as a product and begin the application of the innovation process to urban management, following the steps commonly proposed for successful innovation in product management. An example of the application of the initial new product development steps of idea generation and opportunity identification is presented. Findings – The innovation process provides guidelines and checkpoints that enable corporations to improve the success rate of their development initiatives. Cities, like corporations, need to innovate in order to maintain their image and functionality, to provide a myriad benefits to their stakeholders and, thereby, to survive and grow. The example here shows how the preliminary NPD steps of idea generation and opportunity identification enrich the process of identifying and analysing new industry opportunities for a city. Practical implications – By conceptualising the city as a multifaceted product, the disciplined planning and evaluation processes pertinent to NPD success become relevant and helpful to practitioners responsible for urban planning, urban development and change. Originality/value – The paper shows how pertinent concepts and processes from marketing can be effectively applied to urban planning and economic development initiatives.

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This research reports on a project concerned with the relationship between the person and the environment in the context of achieving a contemplative or existential state – a state which can be experienced either consciously or subconsciously. The need for such a study originated with the desire to contribute to the design of multicultural spaces which could be used for a range of activities within the public and the personal arena, activities including contemplation, meditation and prayer. The concept of ‘sacred’ is explored in the literature review and in primary interviews with the participants of this study. Given that the word ‘sacred’ is highly value-laden and potentially alienating for some people, it was decided to use the more accessible term ‘contemplative’. The outcomes of the study inform the practice of interior design and architecture which tends currently to neglect the potential for all spaces to be existentially meaningful. Informed by phenomenological methodology, data were collected from a diverse group of people, using photo-elicitation and interviews. The technique of photo-elicitation proved to be highly effective in helping people reveal their everyday lived experience of contemplative spaces. Reflective analysis (Van Manen 2000) was used to explore the data collected. The initial stage of analysis produced three categories of data: varying conceptions of contemplation, aspects of the person involved in the contemplation, and aspects of environment involved in contemplation. From this, it was found that achieving a state of contemplation involves both the person and the environment in a dialectic process of unfolding. The unfolding has various physical, psycho-social, and existential dimensions or qualities which operate sequentially and simultaneously. Two concepts emerged as being central to unfolding: ‘Cleansing’ and ‘Nothingness’. Unfolding is found to comprise the Core; Distinction; Manifestation; Cleansing; Creation; and Sharing. This has a parallel with Mircea Eliade’s (1959) definition of sacred as something that manifests itself as different from the profane. The power of design, re-contextualization through utility and purpose, and the existential engagements between the person and environment are used as a basis for establishing the potential contribution of the study to interior design. In this way, the study makes a contribution to our understanding of how space and its elements inspire, support and sustain person environment interaction – particularly at the existential level – as well as to our understanding of the multi-dimensional and holistic nature of this interaction. In addition, it points to the need for a phenomenological re-conceptualisation of the design/client relationship. In summary, the contributions of this research are: the exploration of contemplative experience as sacred experience; an understanding of the design of space as creating engagement between person and environment; a rationale for the introduction of a phenomenological approach to the relationship between designer and clients; and raising awareness of the spiritual in a holistic approach to design.

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How interactive new media art can effectively communicate an indigenous philosophical concept. The sophistication and complexity of the philosophical concept concerning relationships between land and people and between people, intrinsic to the laws and customs of Australian Indigenous society, has begun to be communicated and accessed beyond the realm of anthropological and ethnological domains of Western scholarship. The exciting scope and rapid development of new media arts presents an innovative means of creating an interactive relationship with the general Australian public, addressing the urgent need for an understanding of Indigenous Australian concepts of relationship to land, and to each other, absent from Western narratives. The study is framed by an Indigenous concept of place, and relationships between land and people and between people; and explores how this concept can be clearly communicated through interactive new media arts. It involves: a creative project, the development of an interactive new media art project, a website work-in-progress titled site\sight\cite; and an exegesis, a Novella of Ideas, on the origins, influences, objectives, and potential of creative practices and processes engaged in the creative project. Research undertaken for the creative project and exegesis extended my creative practice into the use of interdisciplinary arts, expressly for the expression of philosophical concepts, consolidating 23 years experience in Indigenous community arts development. The creative project and exegesis contributes to an existing body of Indigenous work in a range of areas - including education, the arts and humanities - which bridges old and new society in Australia. In this study, old and new society is defined by the time of the initial production of art and foundations of knowledge, in the country of its origins, in Indigenous Australia dating back at least 40,000 years.

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Intuition is a type of cognitive processing that is often non-conscious and utilises stored experiential knowledge. Intuitive interaction involves the use of knowledge gained from other products and/or experiences. We have developed novel approaches and techniques for studying intuitive use of interfaces, and shown that intuitive interaction is based on past experience with similar artefacts. Based on our empirical work we have developed principles and tools for designers to assist them in making interfaces more intuitive. These principles are discussed in this paper.

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Advances in tissue engineering have traditionally led to the design of scaffold- or matrix-based culture systems that better reflect the biological, physical and biochemical environment of the natural extracellular matrix. Although their clinical applications in regenerative medicine tend to receive most of the attention, it is obvious that other areas of biomedical research could be well served by the powerful tools that have already been developed in tissue engineering. In this article, we review the recent literature to demonstrate how tissue engineering platforms can enhance in vitro and in vivo models of tumorigenesis and thus hold great promise to contribute to future cancer research.

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This paper examines the development of student functional thinking during a teaching experiment that was conducted in two classrooms with a total of 45 children whose average age was nine years and six months. The teaching comprised four lessons taught by a researcher, with a second researcher and classroom teacher acting as participant observers. These lessons were designed to enable students to build mental representations in order to explore the use of function tables by focusing on the relationship between input and output numbers with the intention of extracting the algebraic nature of the arithmetic involved. All lessons were videotaped. The results indicate that elementary students are not only capable of developing functional thinking but also of communicating their thinking both verbally and symbolically.

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With growing concern over the use of the car in our urbanized society, there have emerged a number of lobby groups and professional bodies promoting a return to public transport, walking and cycling, with the urban village as the key driving land use, as a means of making our cities’ transportation systems more sustainable. This research has aimed at developing a framework applicable to the Australian setting that can facilitate increased passenger patronage of rail based urban transport systems from adjacent or associated land uses. The framework specifically tested the application of the Park & Ride and Transit Oriented Development (TOD) concepts and their applicability within the cultural, institutional, political and transit operational characteristics of Australian society. The researcher found that, although the application of the TOD concept had been limited to small pockets of town houses and mixed use developments around stations, the development industry and emerging groups within the community are posed to embrace the concept and bring with it increased rail patronage. The lack of a clear commitment to infrastructure and supporting land uses is a major barrier to the implementation of TODs. The research findings demonstrated significant scope for the size of a TOD to expand to a much greater radius of activity from the public transport interchange, than the commonly quoted 400 to 600 meters, thus incorporating many more residents and potential patrons. The provision of Park & Rides, and associated support facilities like Kiss & Rides, have followed worldwide trends of high patronage demands from the middle and outer car dependent suburbs of our cities. The data collection and analysis gathered by the researcher demonstrated that in many cases Park & Rides should form part of a TOD to ensure ease of access to rail stations by all modes and patron types. The question, however, remains how best to plan the incorporation of a Park & Ride within a TOD and still maintain those features that attract and promote TODs as a living entity.

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Children’s picture books dealing with the topic of child sexual abuse appeared in the 1980s with the aim of addressing the need for age-appropriate texts to teach sexual abuse prevention concepts and to provide support for young children who may be at risk of or have already experienced sexual abuse. Despite the apparent potential of children’s picture books to convey child sexual abuse prevention concepts, very few studies have addressed the topic of child sexual abuse in children’s literature. This article critically examines a selection of 15 picture books (published in the US, Canada and Australia) for children aged 3–8 years dealing with this theme. It makes use of an established set of evaluative criteria to conduct an audit of the books’ content and applies techniques of literary discourse analysis to explain how these picture books satisfy criteria for child sexual abuse prevention. The analysis is used as a way to understand the discourses available to readers, both adults and children, on the topic of child sexual abuse. Key themes in the books include children’s empowerment and agency, and the need for persistence and hope.

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RatSLAM is a biologically-inspired visual SLAM and navigation system that has been shown to be effective indoors and outdoors on real robots. The spatial representation at the core of RatSLAM, the experience map, forms in a distributed fashion as the robot learns the environment. The activity in RatSLAM’s experience map possesses some geometric properties, but still does not represent the world in a human readable form. A new system, dubbed RatChat, has been introduced to enable meaningful communication with the robot. The intention is to use the “language games” paradigm to build spatial concepts that can be used as the basis for communication. This paper describes the first step in the language game experiments, showing the potential for meaningful categorization of the spatial representations in RatSLAM.

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This paper examines the algebraic cryptanalysis of small scale variants of the LEX-BES. LEX-BES is a stream cipher based on the Advanced Encryption Standard (AES) block cipher. LEX is a generic method proposed for constructing a stream cipher from a block cipher, initially introduced by Biryukov at eSTREAM, the ECRYPT Stream Cipher project in 2005. The Big Encryption System (BES) is a block cipher introduced at CRYPTO 2002 which facilitates the algebraic analysis of the AES block cipher. In this paper, experiments were conducted to find solution of the equation system describing small scale LEX-BES using Gröbner Basis computations. This follows a similar approach to the work by Cid, Murphy and Robshaw at FSE 2005 that investigated algebraic cryptanalysis on small scale variants of the BES. The difference between LEX-BES and BES is that due to the way the keystream is extracted, the number of unknowns in LEX-BES equations is fewer than the number in BES. As far as the author knows, this attempt is the first at creating solvable equation systems for stream ciphers based on the LEX method using Gröbner Basis computations.

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To date, most applications of algebraic analysis and attacks on stream ciphers are on those based on lin- ear feedback shift registers (LFSRs). In this paper, we extend algebraic analysis to non-LFSR based stream ciphers. Specifically, we perform an algebraic analysis on the RC4 family of stream ciphers, an example of stream ciphers based on dynamic tables, and inves- tigate its implications to potential algebraic attacks on the cipher. This is, to our knowledge, the first pa- per that evaluates the security of RC4 against alge- braic attacks through providing a full set of equations that describe the complex word manipulations in the system. For an arbitrary word size, we derive alge- braic representations for the three main operations used in RC4, namely state extraction, word addition and state permutation. Equations relating the inter- nal states and keystream of RC4 are then obtained from each component of the cipher based on these al- gebraic representations, and analysed in terms of their contributions to the security of RC4 against algebraic attacks. Interestingly, it is shown that each of the three main operations contained in the components has its own unique algebraic properties, and when their respective equations are combined, the resulting system becomes infeasible to solve. This results in a high level of security being achieved by RC4 against algebraic attacks. On the other hand, the removal of an operation from the cipher could compromise this security. Experiments on reduced versions of RC4 have been performed, which confirms the validity of our algebraic analysis and the conclusion that the full RC4 stream cipher seems to be immune to algebraic attacks at present.

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We present a novel approach for preprocessing systems of polynomial equations via graph partitioning. The variable-sharing graph of a system of polynomial equations is defined. If such graph is disconnected, then the corresponding system of equations can be split into smaller ones that can be solved individually. This can provide a tremendous speed-up in computing the solution to the system, but is unlikely to occur either randomly or in applications. However, by deleting certain vertices on the graph, the variable-sharing graph could be disconnected in a balanced fashion, and in turn the system of polynomial equations would be separated into smaller systems of near-equal sizes. In graph theory terms, this process is equivalent to finding balanced vertex partitions with minimum-weight vertex separators. The techniques of finding these vertex partitions are discussed, and experiments are performed to evaluate its practicality for general graphs and systems of polynomial equations. Applications of this approach in algebraic cryptanalysis on symmetric ciphers are presented: For the QUAD family of stream ciphers, we show how a malicious party can manufacture conforming systems that can be easily broken. For the stream ciphers Bivium and Trivium, we nachieve significant speedups in algebraic attacks against them, mainly in a partial key guess scenario. In each of these cases, the systems of polynomial equations involved are well-suited to our graph partitioning method. These results may open a new avenue for evaluating the security of symmetric ciphers against algebraic attacks.

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Home Automation (HA) has emerged as a prominent ¯eld for researchers and in- vestors confronting the challenge of penetrating the average home user market with products and services emerging from technology based vision. In spite of many technology contri- butions, there is a latent demand for a®ordable and pragmatic assistive technologies for pro-active handling of complex lifestyle related problems faced by home users. This study has pioneered to develop an Initial Technology Roadmap for HA (ITRHA) that formulates a need based vision of 10-15 years, identifying market, product and technology investment opportunities, focusing on those aspects of HA contributing to e±cient management of home and personal life. The concept of Family Life Cycle is developed to understand the temporal needs of family. In order to formally describe a coherent set of family processes, their relationships, and interaction with external elements, a reference model named Fam- ily System is established that identi¯es External Entities, 7 major Family Processes, and 7 subsystems-Finance, Meals, Health, Education, Career, Housing, and Socialisation. Anal- ysis of these subsystems reveals Soft, Hard and Hybrid processes. Rectifying the lack of formal methods for eliciting future user requirements and reassessing evolving market needs, this study has developed a novel method called Requirement Elicitation of Future Users by Systems Scenario (REFUSS), integrating process modelling, and scenario technique within the framework of roadmapping. The REFUSS is used to systematically derive process au- tomation needs relating the process knowledge to future user characteristics identi¯ed from scenarios created to visualise di®erent futures with richly detailed information on lifestyle trends thus enabling learning about the future requirements. Revealing an addressable market size estimate of billions of dollars per annum this research has developed innovative ideas on software based products including Document Management Systems facilitating automated collection, easy retrieval of all documents, In- formation Management System automating information services and Ubiquitous Intelligent System empowering the highly mobile home users with ambient intelligence. Other product ideas include robotic devices of versatile Kitchen Hand and Cleaner Arm that can be time saving. Materialisation of these products require technology investment initiating further research in areas of data extraction, and information integration as well as manipulation and perception, sensor actuator system, tactile sensing, odour detection, and robotic controller. This study recommends new policies on electronic data delivery from service providers as well as new standards on XML based document structure and format.