274 research outputs found

    Perturbative renormalization of bilinear quark and gluon operators

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    The renormalisation constants for local bilinear quark operators are calculated using the Sheikholeslami-Wohlert improved action. In addition we compute the renormalisation constant of the leading gluon operator for different group representations and discuss the mixing of the operators E^2 and B^2.Comment: 3 pages, poster contributed at Lattice96, St. Loui

    Perturbative Renormalization of Improved Lattice Operators

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    We derive bases of improved operators for all bilinear quark currents up to spin two (including the operators measuring the first moment of DIS Structure Functions), and compute their one-loop renormalization constants for arbitrary coefficients of the improvement terms. We have thus control over O(a) corrections, and for a suitable choice of improvement coefficients we are only left with errors of O(a^2).Comment: 4 pages, LaTeX + 1 eps file + epscrc2.sty (included). Talk given to the Lattice 97 International Symposium, 22-26 July 1997, Edinburgh, UK. Minor changes in notatio

    Regular and chaotic orbits near a massive magnetic dipole

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    Within the framework of Bonnor's exact solution describing a massive magnetic dipole, we study the motion of neutral and electrically charged test particles. In dependence on the Bonnor spacetime parameters, we determine regions enabling the existence of stable circular orbits confined to the equatorial plane and of those levitating above the equatorial plane. Constructing Poincar\'e surfaces of section and recurrence plots, we also investigate the dynamics of particles moving along general off-equatorial trajectories bound in effective potential wells forming around the stable circular orbits. We demonstrate that the motion in the Bonnor spacetime is not integrable. This extends previous investigations of generalized St\"ormer's problem into the realm of exact solutions of Einstein-Maxwell equations, where the gravitational and electromagnetic effects play a comparable role on the particle motion.Comment: 27 pages, 14 figure

    Travel Budgets – A Review of Evidence and Modelling Implications.

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    This paper reviews the empirical data that has been put forward as evidence for the feasibility of direct forecasts of the average amounts of time and money allocated to travel, and the alternative model Craneworks wMch have been designed to exploit such forecasts. It is concluded that the evidence for the stability of aggregate travel behaviour from analyses of cross-sectional data has not yet been reconciled with the variations shown over time

    Development of a Novel Sulfoxide-Containing MS-Cleavable Homobifunctional Cysteine-Reactive Cross-Linker for Studying Protein–Protein Interactions

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    Cross-linking mass spectrometry (XL-MS) has become an emerging technology for defining protein-protein interactions (PPIs) and elucidating architectures of large protein complexes. Up to now, the most widely used cross-linking reagents target lysines. Although such reagents have been successfully applied to map PPIs at the proteome-wide scale, comprehensive PPI profiling would require additional cross-linking chemistries. Cysteine is one of the most reactive amino acids and an attractive target for cross-linking owing to its unique role in protein structures. Although sulfhydryl-reactive cross-linkers are commercially available, their applications in XL-MS studies remain sparse, likely due to the difficulty in identifying cysteine cross-linked peptides. Previously, we developed a new class of sulfoxide-containing MS-cleavable cross-linkers to enable fast and accurate identification of cross-linked peptides using multistage tandem mass spectrometry (MS n). Here, we present the development of a new sulfoxide-containing MS-cleavable homobifunctional cysteine-reactive cross-linker, bismaleimide sulfoxide (BMSO). We demonstrate that BMSO-cross-linked peptides display the same characteristic fragmentation pattern during collision-induced dissociation (CID) as other sulfoxide-containing MS-cleavable cross-linked peptides, thus permitting their simplified analysis and unambiguous identification by MS n. Additionally, we show that BMSO can complement amine- and acidic-residue-reactive reagents for mapping protein-interaction regions. Collectively, this work not only enlarges the toolbox of MS-cleavable cross-linkers with diverse chemistries, but more importantly expands our capacity and capability of studying PPIs in general

    On the Expansion of Monadic Second-Order Logic with Cantor-Bendixson Rank and Order Type Predicates

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    In this work, we consider two extensions of monadic second-order logic, and study in what cases the classical decidability results are preserved. The first extension, MSO[CBrank_β], is MSO (over the signature of the binary tree) augmented with the extra ability to express that the subtree over a set X has Cantor-Bendixson rank β, for some fixed countable ordinal β. We show that this extension is decidable over the binary tree if and only if β is finite, which means that it is decidable if and only if it is equivalent in expressiveness to MSO. The second extension, MSO[otp_α], is MSO (over the signature of order) augmented with the extra ability to express that the suborder induced by a set X has order type α for some fixed countable ordinal α. We show that this extension is decidable over countable ordinals if and only if α < ω^ω, which means that it is decidable if and only if it is equivalent in expressiveness to MSO. The first result can be established as a consequence of the second. The second result relies on the undecidability results of the logic BMSO (itself relying on the undecidability of MSO+U) in the case of ω^β for β a limit ordinal, and on entirely new techniques when β is a successor ordinal. We also have some partial extensions of the second result to some uncountable cases

    Boletín oficial de la provincia de León: Num. 169 (28/04/1924)

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    Copia digital. Valladolid : Junta de Castilla y León. Consejería de Cultura y Turismo, 2011-201

    Boletín oficial de la provincia de León: Num. 169 (28/04/1924)

    Get PDF
    Copia digital. Valladolid : Junta de Castilla y León. Consejería de Cultura y Turismo, 2011-201
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