148 research outputs found

    Homological stability for classical groups

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    We prove a slope 1 stability range for the homology of the symplectic, orthogonal and unitary groups with respect to the hyperbolic form, over any fields other than F2F_2, improving the known range by a factor 2 in the case of finite fields. Our result more generally applies to the automorphism groups of vector spaces equipped with a possibly degenerate form (in the sense of Bak, Tits and Wall). For finite fields of odd characteristic, and more generally fields in which -1 is a sum of two squares, we deduce a stability range for the orthogonal groups with respect to the Euclidean form, and a corresponding result for the unitary groups. In addition, we include an exposition of Quillen's unpublished slope 1 stability argument for the general linear groups over fields other than F2F_2, and use it to recover also the improved range of Galatius-Kupers-Randal-Williams in the case of finite fields, at the characteristic.Comment: v2: Revision. Now recovers the Galatius-Kupers-Randal-Williams improved stability range for general linear groups over finite field

    Some cohomology of finite general linear groups

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    We prove that the degree r(2p−3)r(2p-3) cohomology of any (untwisted) finite group of Lie type over Fpr\mathbb{F}_{p^r}, with coefficients in characteristic pp, is nonzero as long as its Coxeter number is at most pp. We do this by providing a simple explicit construction of a nonzero element. Furthermore, for the groups GLnFprGL_n\mathbb{F}_{p^r}, when p=2p=2 or r=1r=1, we calculate the cohomology in degree r(2p−3)r(2p-3), for all nn.Comment: Dissertation, at the University of Washingto

    Latest Results in SLAC 75 MW PPM Klystrons

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    Development and Validation of a Smartphone Heart Rate Acquisition Application for Health Promotion and Wellness Telehealth Applications

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    Objective. Current generation smartphones' video camera technologies enable photoplethysmographic (PPG) acquisition and heart rate (HR) measurement. The study objective was to develop an Android application and compare HRs derived from a Motorola Droid to electrocardiograph (ECG) and Nonin 9560BT pulse oximeter readings during various movement-free tasks. Materials and Methods. HRs were collected simultaneously from 14 subjects, ages 20 to 58, healthy or with clinical conditions, using the 3 devices during 5-minute periods while at rest, reading aloud under observation, and playing a video game. Correlation between the 3 devices was determined, and Bland-Altman plots for all possible pairs of devices across all conditions assessed agreement. Results. Across conditions, all device pairs showed high correlations. Bland-Altman plots further revealed the Droid as a valid measure for HR acquisition. Across all conditions, the Droid compared to ECG, 95% of the data points (differences between devices) fell within the limits of agreement. Conclusion. The Android application provides valid HRs at varying levels of movement free mental/perceptual motor exertion. Lack of electrode patches or wireless sensor telemetric straps make it advantageous for use in mobile-cell-phone-delivered health promotion and wellness programs. Further validation is needed to determine its applicability while engaging in physical movement-related activities

    Aspidoderid Nematodes from Bolivian Armadillos, with the Description of a New Species of Lauroia (Heterakoidea: Aspidoderidae)

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    One nine-banded armadillo (Dasypus novemcinctus) and 1 yellow armadillo (Euphractus sexcinctus) were necropsied in the field during an expedition to collect parasites of mammals in Bolivia. A total of 205 Aspidodera binansata Railliet and Henry, 1913 (Heterakoidea: Aspidoderidae), and 40 specimens of Lauroia bolivari n. sp. (Heterakoidea: Aspidoderidae) were recovered from the cecum and large intestines of D. novemcinctus and E. sexcinctus. Aspidodera esperanzae Fujita et al., 1995, is proposed as a junior synonym of A. binansata based on the structure of the cordons on the hood. Lauroia bolivari n. sp. has an undercut cephalic cap and unequal spicules. It differs from other species in the genus in the shape of the cephalic cap and from Lauroia travassosi Proença, 1938, in the relative proportion of the spicules. This is the first record of a member of Lauroia Proença, 1938, for Bolivia
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