529 research outputs found

    Induced Crystallization of Polyelectrolyte-Surfactant Complexes at the Gas-Water Interface

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    Synchrotron-X-ray and surface tension studies of a strong polyelectrolyte (PE) in the semi-dilute regime (~ 0.1M monomer-charges) with varying surfactant concentrations show that minute surfactant concentrations induce the formation of a PE-surfactant complex at the gas/solution interface. X-ray reflectivity and grazing angle X-ray diffraction (GIXD) provide detailed information of the top most layer, where it is found that the surfactant forms a two-dimensional liquid-like monolayer, with a noticeable disruption of the structure of water at the interface. With the addition of salt (NaCl) columnar-crystals with distorted-hexagonal symmetry are formed.Comment: 4 pages, 5 eps figure

    The effect of interferon beta-1b treatment on MRI measures of cerebral atrophy in secondary progressive multiple sclerosis.

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    The recently completed European trial of interferon beta-1b (IFN beta -1b) in patients with secondary progressive multiple sclerosis (SP multiple sclerosis) has given an opportunity to assess the impact of treatment on cerebral atrophy using serial MRI. Unenhanced T-1-weighted brain imaging was acquired in a subgroup of 95 patients from five of the European centres; imaging was performed at 6-month intervals from month 0 to month 36. A blinded observer measured cerebral volume on four contiguous 5 mm cerebral hemisphere slices at each time point, using an algorithm with a high level of reproducibility and automation. There was a significant and progressive reduction in cerebral volume in both placebo and treated groups, with a mean reduction of 3.9 and 2.9%, respectively, by month 36 (P = 0.34 between groups). Exploratory subgroup analyses indicated that patients without gadolinium (Gd) enhancement at the baseline had a greater reduction of cerebral volume in the placebo group (mean reduction at month 36: placebo 5.1%, IFN beta -1b 1.8%, P < 0.05) whereas those with Gd-enhancing lesions showed a trend to greater reduction of cerebral volume if the patient was on IFN<beta>-1b (placebo 2.6%, IFN beta -1b, 3.7%; P > 0.05). These results are consistent with ongoing tissue loss in both arms of this study of secondary progressive multiple sclerosis. This finding is concordant with previous observations that disease progression, although delayed, is not halted by IFN beta. The different pattern seen in patients with and without baseline gadolinium enhancement suggests that part of the cerebral volume reduction observed in IFN beta -treated patients may be due to the anti-inflammatory/antioedematous effect of the drug. Longer periods of observation and larger groups of patients may be needed to detect the effects of treatment on cerebral atrophy in this population of patients with advanced disease

    Accelerated Projected Gradient Method for Linear Inverse Problems with Sparsity Constraints

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    Regularization of ill-posed linear inverse problems via â„“1\ell_1 penalization has been proposed for cases where the solution is known to be (almost) sparse. One way to obtain the minimizer of such an â„“1\ell_1 penalized functional is via an iterative soft-thresholding algorithm. We propose an alternative implementation to â„“1\ell_1-constraints, using a gradient method, with projection on â„“1\ell_1-balls. The corresponding algorithm uses again iterative soft-thresholding, now with a variable thresholding parameter. We also propose accelerated versions of this iterative method, using ingredients of the (linear) steepest descent method. We prove convergence in norm for one of these projected gradient methods, without and with acceleration.Comment: 24 pages, 5 figures. v2: added reference, some amendments, 27 page

    Thermodynamic Properties and Elementary Excitations in Quantum Sine-Gordon Spin System KCuGaF6

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    Thermodynamic properties and elementary excitations in S=1/2S=1/2 one-dimensional Heisenberg antiferromagnet KCuGaF6_6 were investigated by magnetic susceptibility, specific heat and ESR measurements. Due to the Dzyaloshinsky-Moriya interaction with alternating DD-vectors and/or the staggered gg-tensor, the staggered magnetic field is induced when subjected to external magnetic field. Specific heat in magnetic field clearly shows the formation of excitation gap, which is attributed to the staggered magnetic field. The specific heat data was analyzed on the basis of the quantum sine-Gordon (SG) model. We observed many ESR modes including one soliton and three breather excitations characteristic of the quantum SG model.Comment: 4 pages, 5 figures, to appear in J. Phys. Soc. Jpn., vol. 76, no.

    Beyond convergence rates: Exact recovery with Tikhonov regularization with sparsity constraints

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    The Tikhonov regularization of linear ill-posed problems with an â„“1\ell^1 penalty is considered. We recall results for linear convergence rates and results on exact recovery of the support. Moreover, we derive conditions for exact support recovery which are especially applicable in the case of ill-posed problems, where other conditions, e.g. based on the so-called coherence or the restricted isometry property are usually not applicable. The obtained results also show that the regularized solutions do not only converge in the â„“1\ell^1-norm but also in the vector space â„“0\ell^0 (when considered as the strict inductive limit of the spaces Rn\R^n as nn tends to infinity). Additionally, the relations between different conditions for exact support recovery and linear convergence rates are investigated. With an imaging example from digital holography the applicability of the obtained results is illustrated, i.e. that one may check a priori if the experimental setup guarantees exact recovery with Tikhonov regularization with sparsity constraints

    Using Real-Time Ultrasound During the Feeding Period to Predict Cattle Composition.

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    A feedlot trial to monitor ribeye area growth, 12th rib backfat, and intramuscular fat accretion was conducted. Data were collected using 112 yearling beef steers. The steers were fed at three intake levels (ad libitum, 95% of ad libitum, or 90% of ad libitum), which when combined with three feeding times (once daily in the morning, once daily in the afternoon, or twice daily), produced nine dietary treatments. Feedlot performance and carcass composition of beef steers was also determined. After analysis of ultrasound measures and animal performance data, equations were developed that described the ribeye area development (R2 = .97), 12th rib fat accretion (R2 = .81), and changes in intramuscular fat percentage (R2 = .79)

    A Guide to Localized Frames and Applications to Galerkin-like Representations of Operators

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    This chapter offers a detailed survey on intrinsically localized frames and the corresponding matrix representation of operators. We re-investigate the properties of localized frames and the associated Banach spaces in full detail. We investigate the representation of operators using localized frames in a Galerkin-type scheme. We show how the boundedness and the invertibility of matrices and operators are linked and give some sufficient and necessary conditions for the boundedness of operators between the associated Banach spaces.Comment: 32 page
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