983 resultados para Cayley-Dickson algebra


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We have isolated a series of sublines of the hormone-dependent MCF-7 human breast cancer cell line after selection both in vivo and in vitro for growth in the presence of subphysiological concentrations of estrogens. These sublines represent a model system for study of the processes leading to hormonal autonomy. The cells form growing tumors in ovariectomized athymic nude mice in the absence of estrogen supplementation but retain some responsivity to estrogen as determined by stimulation of the rate of tumor growth in vivo and by induction of progesterone receptor. An ovarian-independent but hormone-responsive phenotype may occur early in the natural progression to hormone-independent and unresponsive growth in breast cancer. We observed no change in the affinity or decrease in the level of expression of estrogen receptors and progesterone receptors among the sublines and the parental cells. Epidermal growth factor receptors are not overexpressed in ovarian-independent cells. Thus, altered hormone receptor expression may be a late event in the acquisition of a hormone-independent and unresponsive phenotype. Sublines isolated by in vivo but not in vitro selection are more invasive than the parental cells both in vivo and across an artificial basement membrane in vitro. Thus, as yet unknown tumor-host interactions may be important in the development of an invasive phenotype. Furthermore, acquisition of the ovarian-independent and invasive phenotypes can occur independently.

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Endogenous ovarian estrogens and progestins appear to play a critical role in the development and progression of breast cancer. Local productions of growth factors probably also contribute to malignant proliferation, while production and activation of collagenolytic enzymes may be equally critical for local invasive processes. The current review focusses on characterization of growth factor-receptor systems operant in normal and malignant breast epithelium. In addition, the determinants of local invasion are reviewed: attachment, modality, and proteose secretion. Finally, data are discussed concerning the regulation of both proliferation and invasion by hormones and antihormonal agents in hormone-dependent breast cancer. The results suggest new potential pharmacologic targets to explore to suppress onset and progression of breast cancer.

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A newspaper numbers game based on simple arithmetic relationships is discussed. Its potential to give students of elementary algebra practice in semi-ad hoc reasoning and to build general arithmetic reasoning skills is explored.

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The five quantities of interest in elementary finance problems are present value, future value, amount of periodic payment, number of periods and the rate of compound interest per period. A recursive approach to computing each of these five quantities in a modern version of Excel, for the case of ordinary annuities, is described. The aim is to increase student understanding and build confidence in the answer obtained, and this may be achieved with only linear relationships and in cases where student knowledge of algebra is essentially zero. Annuity problems may be solved without use of logarithms and black-box intrinsic functions; these being used only as check mechanisms. The author has had success with the method at Bond University and surrounding high schools in Queensland, Australia.

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Modular arithmetic has often been regarded as something of a mathematical curiosity, at least by those unfamiliar with its importance to both abstract algebra and number theory, and with its numerous applications. However, with the ubiquity of fast digital computers, and the need for reliable digital security systems such as RSA, this important branch of mathematics is now considered essential knowledge for many professionals. Indeed, computer arithmetic itself is, ipso facto, modular. This chapter describes how the modern graphical spreadsheet may be used to clearly illustrate the basics of modular arithmetic, and to solve certain classes of problems. Students may then gain structural insight and the foundations laid for applications to such areas as hashing, random number generation, and public-key cryptography.

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This research proposes the development of interfaces to support collaborative, community-driven inquiry into data, which we refer to as Participatory Data Analytics. Since the investigation is led by local communities, it is not possible to anticipate which data will be relevant and what questions are going to be asked. Therefore, users have to be able to construct and tailor visualisations to their own needs. The poster presents early work towards defining a suitable compositional model, which will allow users to mix, match, and manipulate data sets to obtain visual representations with little-to-no programming knowledge. Following a user-centred design process, we are subsequently planning to identify appropriate interaction techniques and metaphors for generating such visual specifications on wall-sized, multi-touch displays.

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With the growing proliferation of statute laws, the skill of statutory interpretation is an increasingly important aspect of legal practice. Despite the importance, statutory interpretation can be a challenging area of law to teach to undergraduate law students, who may find the topic dry and disengaging when taught through traditional methods. Such disengagement may adversely affect knowledge retention, particularly if the material is taught in the first or second year of study and not explicitly reinforced in subsequent years. Concern over the present standard of statutory interpretation skills being exhibited by practitioners, has prompted the Chief Justice of the Supreme Court of Queensland to contact law schools, enquiring how and to what extent statutory interpretation is being taught...

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This article explains the scope and effect of the Disability Standards for Education 2005 (Cth) (the ‘Standards’) and considers whether they operate as a legislative sword or shield in respect of the battle to protect the education rights of people with disabilities in Australia. Evidence suggests that the Standards would be a more effective weapon if there were greater understanding of how they oblige education providers to make reasonable adjustments to their policies and practices to support access for and participation by students with disabilities.

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Given the ever increasing importance of legislation to the resolution of legal disputes, there is a concomitant need for law students to be well trained in the anatomy, identification, interpretation and application of laws made by or under parliament. This article discusses a blended learning project called Indigo’s Folly, implemented at the Queensland University of Technology Law School in 2014. Indigo’s Folly was created to increase law student competency with respect to statutory interpretation. Just as importantly, it was designed to make the teaching of statutory interpretation more interesting – to “bring the sexy” to the student statutory interpretation experience. Quantitative and qualitative empirical data will be presented as evidence to show that statutory interpretation can be taught in a way that law students find engaging.

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This paper presents a novel algebraic formulation of the central problem of screw theory, namely the determination of the principal screws of a given system. Using the algebra of dual numbers, it shows that the principal screws can be determined via the solution of a generalised eigenproblem of two real, symmetric matrices. This approach allows the study of the principal screws of the general two-, three-systems associated with a manipulator of arbitrary geometry in terms of closed-form expressions of its architecture and configuration parameters. We also present novel methods for the determination of the principal screws for four-, five-systems which do not require the explicit computation of the reciprocal systems. Principal screws of the systems of different orders are identified from one uniform criterion, namely that the pitches of the principal screws are the extreme values of the pitch.The classical results of screw theory, namely the equations for the cylindroid and the pitch-hyperboloid associated with the two-and three-systems, respectively have been derived within the proposed framework. Algebraic conditions have been derived for some of the special screw systems. The formulation is also illustrated with several examples including two spatial manipulators of serial and parallel architecture, respectively.

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An input-output, frequency-domain characterization of decentralized fixed modes is given in this paper, using only standard block-diagram algebra, well-known determinantal expansions and the Binet-Cauchy formula.

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This chapter of Higher Education and the Law considers the scope of the obligation of Australian Universities to make reasonable adjustments to facilities, procedures and curriculum, for students with disability. It reflects upon relevant case law to inform analysis of problematic aspects of that scope including, for example, the accommodation of students with problem behaviour flowing from disability and adjustment to assessment for students with disability.

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This study concentrates on the contested concept of pastiche in literary studies. It offers the first detailed examination of the history of the concept from its origins in the seventeenth century to the present, showing how pastiche emerged as a critical concept in interaction with the emerging conception of authorial originality and the copyright laws protecting it. One of the key results of this investigation is the contextualisation of the postmodern debate on pastiche. Even though postmodern critics often emphasise the radical novelty of pastiche, they in fact resuscitate older positions and arguments without necessarily reflecting on their historical conditions. This historical background is then used to analyse the distinction between the primarily French conception of pastiche as the imitation of style and the postmodern notion of it as the compilation of different elements. The latter s vagueness and inclusiveness detracts from its value as a critical concept. The study thus concentrates on the notion of stylistic pastiche, challenging the widespread prejudice that it is merely an indication of lack of talent. Because it is multiply based on repetition, pastiche is in fact a highly ambiguous or double-edged practice that calls into question the distinction between repetition and original, thereby undermining the received notion of individual unique authorship as a fundamental aesthetic value. Pastiche does not, however, constitute a radical upheaval of the basic assumptions on which the present institution of literature relies, since, in order to mark its difference, pastiche always refers to a source outside itself against which its difference is measured. Finally, the theoretical analysis of pastiche is applied to literary works. The pastiches written by Marcel Proust demonstrate how it can become an integral part of a writer s poetics: imitation of style is shown to provide Proust with a way of exploring the role of style as a connecting point between inner vision and reality. The pastiches of the Sherlock Holmes stories by Michael Dibdin, Nicholas Meyer and the duo Adrian Conan Doyle and John Dickson Carr illustrate the functions of pastiche within a genre detective fiction that is itself fundamentally repetitive. A.S. Byatt s Possession and D.M. Thomas s Charlotte use Victorian pastiches to investigate the conditions of literary creation in the age of postmodern suspicion of creativity and individuality. The study thus argues that the concept of pastiche has valuable insights to offer to literary criticism and theory, and that literary pastiches, though often dismissed in reviews and criticism, are a particularly interesting object of study precisely because of their characteristic ambiguity.