6,114 research outputs found

    Precession of the Isolated Neutron Star PSR B1828-11

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    Stairs, Lyne & Shemar have found that arrival time residuals from PSR B1828-11 vary periodically with a period of 500 days. This behavior can be accounted for by precession of the radiopulsar, an interpretation that is reinforced by the detection of variations in its pulse profile on the same timescale. Here, we model the period residuals from PSR B1828-11 in terms of precession of a triaxial rigid body. We include two contributions to the residuals: (i) the geometric effect, which arises because the times at which the pulsar emission beam points toward the observer varies with precession phase; (ii) the spindown contribution, which arises from any dependence of the spindown torque acting on the pulsar on the angle between its spin and magnetic axes. We use the data to probe numerous properties of the pulsar, most notably its shape, and the dependence of its spindown torque on the angle between its spin and magnetic axes, for which we assume a sum of a spin-aligned component (with a weight 1-a) and a dipolar component perpendicular to the magnetic beam axis (weight a), rather than the vacuum dipole torque (a=1). We find that a variety of shapes are consistent with the residuals, with a slight statistical preference for a prolate star. Moreover, a range of torque possibilities fit the data equally well, with no strong preference for the vacuum model. In the case of a prolate star we find evidence for an angle-dependent spindown torque. Our results show that the combination of geometrical and spin-down effects associated with precession can account for the principal features of PSR B1828-11's timing behavior, without fine tuning of the parameters.Comment: 22 pages, 14 figures, submitted to MNRAS; added references, corrected typo

    Hohenberg-Kohn theorem for the lowest-energy resonance of unbound systems

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    We show that under well-defined conditions the Hohenberg-Kohn theorem (HKT) can be extended to the lowest-energy resonance of unbound systems. Using the Gel'fand Levitan theorem, the extended version of the HKT can also be applied to systems that support a finite number of bound states. The extended version of the HKT provides an adequate framework to carry out DFT calculations of negative electron affinities.Comment: 4 pages, 3 figure

    UPDRAFT FORCING MECHANISMS IN DEEP MARINE CONVECTION DRIVEN BY COLD POOLS

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    Aircraft and rawinsonde data collected during the CALifornia Investigation of Convection over Ocean (CALICO) field experiment between February and March of 2022 were analyzed to detail the size and magnitude of in-cloud cumuliform updrafts. Sampled convection generally occurred following wintertime cold-front passages off the central California coast, with much of the convection growing to the 6 km high tropopause and organizing into “arcs” driven by cold pools. Large-eddy simulations using Cloud Model 1 (CM1) were conducted to augment observations and characterize the three-dimensional cloud properties within cold-pool-driven convection to subsequently investigate what processes (both thermodynamic and dynamic) within the atmospheric boundary layer and free troposphere control the upward acceleration of negatively buoyant updrafts located behind a cold pool boundary. The effect of vertical wind shear on isolated and organized mesoscale convection is simulated. Organized convection is able to reach the tropopause despite the presence of strong vertical wind shear that inhibits isolated convection. Within the cold pool, the presence of negative buoyant but ascending updrafts was due to the presence of small pockets of strong upward acceleration caused by an upward-oriented pressure gradient force associated with the dynamic perturbation pressure.Distribution Statement A. Approved for public release: Distribution is unlimited.Lieutenant Commander, United States NavyOffice of Naval Researc

    How training and testing histories affect generalization: a test of simple neural networks

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    We show that a simple network model of associative learning can\ud reproduce three findings that arise from particular training and\ud testing procedures in generalization experiments: the effect of 1)\ud ``errorless learning'' and 2) extinction testing on peak shift, and\ud 3) the central tendency effect. These findings provide a true test\ud of the network model, which was developed to account for other\ud penhomena, and highlight the potential of neural networks to study\ud phenomena that depend on sequences of experiences with many stimuli.\ud Our results suggest that at least some such phenomena, e.g.,\ud stimulus range effects, may derive from basic mechanisms of\ud associative memory rather than from more complex memory processes

    Statistical Mechanics of Community Detection

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    Starting from a general \textit{ansatz}, we show how community detection can be interpreted as finding the ground state of an infinite range spin glass. Our approach applies to weighted and directed networks alike. It contains the \textit{at hoc} introduced quality function from \cite{ReichardtPRL} and the modularity QQ as defined by Newman and Girvan \cite{Girvan03} as special cases. The community structure of the network is interpreted as the spin configuration that minimizes the energy of the spin glass with the spin states being the community indices. We elucidate the properties of the ground state configuration to give a concise definition of communities as cohesive subgroups in networks that is adaptive to the specific class of network under study. Further we show, how hierarchies and overlap in the community structure can be detected. Computationally effective local update rules for optimization procedures to find the ground state are given. We show how the \textit{ansatz} may be used to discover the community around a given node without detecting all communities in the full network and we give benchmarks for the performance of this extension. Finally, we give expectation values for the modularity of random graphs, which can be used in the assessment of statistical significance of community structure

    A Will Before There\u27s a Way: Preschoolers And Books

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    Many children already possess a strong desire to master the written word. What is the key to their eagerness? What factors exist in the home and/or cultural environment that directs a child\u27s natural curiosity of the world around him/her into the arduous task of tearing apart and rebuilding language to allow written as well as vocal communication
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