489 research outputs found

    The Greek Phonological Phrase

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    RECONSTRUCTING THE PROSODIC' domains' of ancient Greek continues to play an important role in classical philology. The syntactic components of the appositive group, as well as its accentual and rhythmic properties, have been analyzed in fine detail, primarily because of the value of metrical bridges in textual criticism. The major phrase-that is, the phonological counterpart of the syntactic clause or simple sentence-has also been the object of study, especially for its importance in defining the domain of the avoidance of hiatus and in the stylistic evolution of enjambement. But little or no progress has been made in reconstructing the accent and rhythm of the minor phonological phrase (hereafter simply the 'phonological phrase'), nor in analyzing its syntactic composition. Almost nothing has been discovered about how the words of even the simplest sentences were joined together into prosodic subunits in ordinary Greek speech. How can we demonstrate that there actually were prosodic domains intermediate between the word or appositive group and the utterance? And if we can, how do we know which sequences of words can make up these phonological phrases and which cannot? Under what circumstances, if any, can a subject be phrased with its Verb? Can a direct object modified by an Adjective be phrased with its Verb? What happens if there is also an indirect object? Is a Prepositional Phrase always a phonological phrase by itself or can it be joined with an adjacent constituent? In addition to discovering its syntactic constituency, we should also like to know what the Greek phonological phrase sounded like; specifically whether, in addition to the temporal demarcation (final lengthening) normally found at the end of phonological phrases, the Greek phonological phrase was also characterized by tonal properties such as the scaling of accentual peaks within the phonological phrase

    Optimal correction of concatenated fault-tolerant quantum codes

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    We present a method of concatenated quantum error correction in which improved classical processing is used with existing quantum codes and fault-tolerant circuits to more reliably correct errors. Rather than correcting each level of a concatenated code independently, our method uses information about the likelihood of errors having occurred at lower levels to maximize the probability of correctly interpreting error syndromes. Results of simulations of our method applied to the [[4,1,2]] subsystem code indicate that it can correct a number of discrete errors up to half of the distance of the concatenated code, which is optimal.Comment: 7 pages, 2 figures, published versio

    Electroencephalogram findings in patients with posterior cortical atrophy

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    Aim of the study: The aim of this study is to evaluate standard scalp EEG findings in patients with posterior cortical atrophy (PCA), an atypical variant of Alzheimer's disease (AD). Clinical rationale: PCA is a topographically selective variant of AD. Patients with typical AD have an increased likelihood of seizures, which may negatively impact overall functional performance and cognition. It is currently unknown what the typical EEG findings are for patients with PCA. Materials and methods: A retrospective chart review was performed on patients identified either with autopsy confirmed (n = 13) or clinically (n = 126) as PCA. Results: 139 patients were included though only 23 (16.5%) had undergone EEG recording. The EEG was normal in 6 (26%), while an abnormal EEG was present in 17 (74%). Interictal epileptic discharges (IEDs) were found in 2 of the 23 patients (9%). Conclusions: This study of limited sample size suggests that there may be an increased predilection to find IEDs within PCA when compared to typical AD. Larger cohorts are required to determine frequency of abnormal EEGs in PCA, roles of AEDs in therapy, and in the selection of preferred AED. Clinical implications: Patients with PCA would potentially benefit from an EEG for assessment of IEDs which may provide the clinician with a therapeutic opportunity

    Hierarchical Gaussian process mixtures for regression

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    As a result of their good performance in practice and their desirable analytical properties, Gaussian process regression models are becoming increasingly of interest in statistics, engineering and other fields. However, two major problems arise when the model is applied to a large data-set with repeated measurements. One stems from the systematic heterogeneity among the different replications, and the other is the requirement to invert a covariance matrix which is involved in the implementation of the model. The dimension of this matrix equals the sample size of the training data-set. In this paper, a Gaussian process mixture model for regression is proposed for dealing with the above two problems, and a hybrid Markov chain Monte Carlo (MCMC) algorithm is used for its implementation. Application to a real data-set is reported

    High pressure phases in highly piezoelectric Pb(Zr0.52Ti0.48)O3

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    Two novel room-temperature phase transitions are observed, via synchrotron x-ray diffraction and Raman spectroscopy, in the Pb(Zr0.52Ti0.48)O3 alloy under hydrostatic pressures up to 16 GPa. A monoclinic (M)-to-rhombohedral (R1) phase transition takes place around 2-3 GPa, while this R1 phase transforms into another rhombohedral phase, R2, at about 6-7 GPa. First-principles calculations assign the R3m and R3c symmetry to R1 and R2, respectively, and reveal that R2 acts as a pressure-induced structural bridge between the polar R3m and a predicted antiferrodistortive R-3c phase.Comment: REVTeX, 4 pages with 3 figures embedded. Figs 1 and 3 in colo

    A tetragonal-to-monoclinic phase transition in a ferroelectric perovskite: the structure of PbZr(0.52)Ti(0.48)O3

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    The perovskite-like ferroelectric system PbZr(1-x)Ti(x)O3 (PZT) has a nearly vertical morphotropic phase boundary (MPB) around x=0.45-0.50. Recent synchrotron x-ray powder diffraction measurements by Noheda et al. [Appl. Phys. Lett. 74, 2059 (1999)] have revealed a new monoclinic phase between the previously-established tetragonal and rhombohedral regions. In the present work we describe a Rietveld analysis of the detailed structure of the tetragonal and monoclinic PZT phases on a sample with x= 0.48 for which the lattice parameters are respectively: at= 4.044 A, ct= 4.138 A, at 325 K, and am= 5.721 A, bm= 5.708 A, cm= 4.138 A, beta= 90.496 deg., at 20K. In the tetragonal phase the shifts of the atoms along the polar [001] direction are similar to those in PbTiO3 but the refinement indicates that there are, in addition, local disordered shifts of the Pb atoms of ~0.2 A perpendicular to the polar axis.. The monoclinic structure can be viewed as a condensation along one of the directions of the local displacements present in the tetragonal phase. It equally well corresponds to a freezing-out of the local displacements along one of the directions recently reported by Corker et al.[J. Phys. Condens. Matter 10, 6251 (1998)] for rhombohedral PZT. The monoclinic structure therefore provides a microscopic picture of the MPB region in which one of the "locally" monoclinic phases in the "average" rhombohedral or tetragonal structures freezes out, and thus represents a bridge between these two phases.Comment: REVTeX, 7 figures. Modifications after referee's suggestion: new figure (figure 5), comments in 2nd para. (Sect.III) and in 2nd & 3rd para. (Sect. IV-a), in the abstract: "...of ~0.2 A perpendicular to the polar axis.

    Far-infrared vibrational properties of high-pressure-high-temperature C60 polymers and the C60 dimer

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    We report high-resolution far-infrared transmission measurements of the 2 + 2 cycloaddition C-60 dimer and two-dimensional rhombohedral and one-dimensional orthorhombic high-pressure high-temperature C60 polymers. In the spectral region investigated(20-650 cm(-1)), we see no low-energy interball modes, but symmetry breaking of the linked C-60 balls is evident in the complex spectrum of intramolecular modes. Experimental features suggest large splittings or frequency shifts of some IhC60-derived modes that are activated by symmetry reduction, implying that the balls are strongly distorted in these structures. We have calculated the vibrations of all three systems by first-principles quantum molecular dynamics and use them to assign the predominant IhC60 symmetries of observed modes. Pur calculations show unprecedentedly large downshifts of T-1u(2)-derived modes and extremely large splittings of other modes, both of which are consistent with the experimental spectra. For the rhombohedral and orthorhombic polymers, the T-1u(2)-derived mode that is polarized along the bonding direction is calculated to downshift below any T-1u(1)-derived modes. We also identify a previously unassigned feature near 610 cm(-1) in all three systems as a widely split or shifted mode derived from various silent IhC60 vibrations, confirming a strong perturbation model for these linked fullerene structures

    Evidence for MBM_B and MCM_C phases in the morphotropic phase boundary region of (1x)[Pb(Mg1/3Nb2/3)O3]xPbTiO3(1-x)[Pb(Mg_{1/3}Nb_{2/3})O_3]-xPbTiO_3 : A Rietveld study

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    We present here the results of the room temperature dielectric constant measurements and Rietveld analysis of the powder x-ray diffraction data on (1x)[Pb(Mg1/3Nb2/3)O3]xPbTiO3(1-x)[Pb(Mg_{1/3}Nb_{2/3})O_3]-xPbTiO_3(PMN-xxPT) in the composition range 0.20x0.450.20 \leq x \leq 0.45 to show that the morphotropic phase boundary (MPB) region contains two monoclinic phases with space groups Cm (or MBM_B type) and Pm (or MCM_C type) stable in the composition ranges 0.27x0.300.27 \leq x \leq 0.30 and 0.31x0.340.31 \leq x \leq 0.34, respectively. The structure of PMN-xxPT in the composition ranges 0x0 \leq x \leq 0.26, and 0.35x10.35 \leq x \leq1 is found to be rhombohedral (R3m) and tetragonal (P4mm), respectively. These results are compared with the predictions of Vanderbilt & Cohen's theory.Comment: 20 pages, 11 pdf figure

    Measuring Cosmic Defect Correlations in Liquid Crystals

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    From the theory of topological defect formation proposed for the early universe, the so called Kibble mechanism, it follows that the density correlation functions of defects and anti-defects in a given system should be completely determined in terms of a single length scale ξ\xi, the relevant domain size. Thus, when lengths are expressed in units of ξ\xi, these distributions should show universal behavior, depending only on the symmetry of the order parameter, and space dimensions. We have verified this prediction by analyzing the distributions of defects/anti-defects formed in the isotropic-nematic phase transition in a thin layer of nematic liquid crystals. Our experimental results confirm this prediction and are in reasonable agreement with the results of numerical simulations.Comment: 15 pages, 4 figures, minor changes, few new references adde
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