51,996 research outputs found

    A Comprehensive Evaluation Model for Cumputer Based Educaton

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    As opportunities to use computers in learning laboratory settings increase,directors will be faced with the problem of assisting faculty to select and evaluate themost appropriate courseware for their needs. This article presents a comprehensiveevaluation model that could be applied for computer based education programs in avariety of arts and sciences areas. The model includes a pre-implementation stage.This stage determines program compatibility, content evaluation and hardwareconsiderations. A second stage considers formative evaluation, continued availabilityof equipment and the recording of time records. Finally, the last phase, summativeevaluation, includes collecting student attitudes, assessing cost effectiveness,determining external influences and finally, suggesting ways of reaching a decision ofworth. The implementation of this model should provide a system where studentscould work with computer programs of a proven quality. Also, learning laboratorydirectors and faculty could show a certain level of accountability towards spendingmoney on computer software or courseware

    Cayley's hyperdeterminant: a combinatorial approach via representation theory

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    Cayley's hyperdeterminant is a homogeneous polynomial of degree 4 in the 8 entries of a 2 x 2 x 2 array. It is the simplest (nonconstant) polynomial which is invariant under changes of basis in three directions. We use elementary facts about representations of the 3-dimensional simple Lie algebra sl_2(C) to reduce the problem of finding the invariant polynomials for a 2 x 2 x 2 array to a combinatorial problem on the enumeration of 2 x 2 x 2 arrays with non-negative integer entries. We then apply results from linear algebra to obtain a new proof that Cayley's hyperdeterminant generates all the invariants. In the last section we show how this approach can be applied to general multidimensional arrays.Comment: 20 page

    Reduction of Algebraic Parametric Systems by Rectification of their Affine Expanded Lie Symmetries

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    Lie group theory states that knowledge of a mm-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by mm the number of equations. We apply this principle by finding some \emph{affine derivations} that induces \emph{expanded} Lie point symmetries of considered system. By rewriting original problem in an invariant coordinates set for these symmetries, we \emph{reduce} the number of involved parameters. We present an algorithm based on this standpoint whose arithmetic complexity is \emph{quasi-polynomial} in input's size.Comment: Before analysing an algebraic system (differential or not), one can generally reduce the number of parameters defining the system behavior by studying the system's Lie symmetrie

    Angular Momentum Transfer in the Binary X-ray Pulsar GX 1+4

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    We describe three presentations relating to the X-ray pulsar GX 1+4 at a workshop on magnetic fields and accretion at the Astrophysical Theory Centre, Australian National University on 1998, November 12-13. Optical and X-ray spectroscopy indicate that GX 1+4 is seen through a cloud of gravitationaly bound matter. We discuss an unstable negative feedback mechanism (originally proposed by Kotani et al, 1999), based on X-ray heating of this matter which controls the accretion rate when the source is in a low X-ray luminosity state. A deep minimum lasting ~6 hours occurred during observations with the RXTE satellite over 1996, July 19-21. The shape of the X-ray pulses changed remarkably from before to after the minimum. These changes may be related to the transition from neutron star spin-down to spin-up which occurred at about the same time. Smoothed particle hydrodynamic simulations of the effect of adding matter with opposite angular momentum to an existing disc, show that it is possible for a number of concentric rings with alternating senses of rotation to co-exist in a disc. This could provide an explanation for the step-like changes in Pdot which are observed in GX 1+4. Changes at the inner boundary of the disc occur at the same timescale as that imposed at the outer boundary. Reversals of material torque on the neutron star occur at a minimum in L_X.Comment: 10 pages, 5 figures; accepted for publication by PAS

    Ultra-fine beryllium powder by amalgam process Progress report, period ending 31 Oct. 1966

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    Metallurgical evaluation of beryllium powdered metal, and electron microscope studies of agglomerate particle size

    Thermal gravity, black holes and cosmological entropy

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    Taking seriously the interpretation of black hole entropy as the logarithm of the number of microstates, we argue that thermal gravitons may undergo a phase transition to a kind of black hole condensate. The phase transition proceeds via nucleation of black holes at a rate governed by a saddlepoint configuration whose free energy is of order the inverse temperature in Planck units. Whether the universe remains in a low entropy state as opposed to the high entropy black hole condensate depends sensitively on its thermal history. Our results may clarify an old observation of Penrose regarding the very low entropy state of the universe.Comment: 5 pages, 2 figures, RevTex. v4: to appear in Phys. Rev.

    Network formation of tissue cells via preferential attraction to elongated structures

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    Vascular and non-vascular cells often form an interconnected network in vitro, similar to the early vascular bed of warm blooded embryos. Our time-lapse recordings show that the network forms by extending sprouts, i.e., multicellular linear segments. To explain the emergence of such structures, we propose a simple model of preferential attraction to stretched cells. Numerical simulations reveal that the model evolves into a quasi-stationary pattern containing linear segments, which interconnect above the critical volume fraction of 0.2. In the quasi-stationary state the generation of new branches offset the coarsening driven by surface tension. In agreement with empirical data, the characteristic size of the resulting polygonal pattern is density-independent within a wide range of volume fractions
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