1,498 research outputs found

    Elliptic genera from multi-centers

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    I show how elliptic genera for various Calabi-Yau threefolds may be understood from supergravity localization using the quantization of the phase space of certain multi-center configurations. I present a simple procedure that allows for the enumeration of all multi-center configurations contributing to the polar sector of the elliptic genera\textemdash explicitly verifying this in the cases of the quintic in P4\mathbb{P}^4, the sextic in WP(2,1,1,1,1)\mathbb{WP}_{(2,1,1,1,1)}, the octic in WP(4,1,1,1,1)\mathbb{WP}_{(4,1,1,1,1)} and the dectic in WP(5,2,1,1,1)\mathbb{WP}_{(5,2,1,1,1)}. With an input of the corresponding `single-center' indices (Donaldson-Thomas invariants), the polar terms have been known to determine the elliptic genera completely. I argue that this multi-center approach to the low-lying spectrum of the elliptic genera is a stepping stone towards an understanding of the exact microscopic states that contribute to supersymmetric single center black hole entropy in N=2\mathcal{N}=2 supergravity.Comment: 30+1 pages, Published Versio

    CONFIGR: A Vision-Based Model for Long-Range Figure Completion

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    CONFIGR (CONtour FIgure GRound) is a computational model based on principles of biological vision that completes sparse and noisy image figures. Within an integrated vision/recognition system, CONFIGR posits an initial recognition stage which identifies figure pixels from spatially local input information. The resulting, and typically incomplete, figure is fed back to the “early vision” stage for long-range completion via filling-in. The reconstructed image is then re-presented to the recognition system for global functions such as object recognition. In the CONFIGR algorithm, the smallest independent image unit is the visible pixel, whose size defines a computational spatial scale. Once pixel size is fixed, the entire algorithm is fully determined, with no additional parameter choices. Multi-scale simulations illustrate the vision/recognition system. Open-source CONFIGR code is available online, but all examples can be derived analytically, and the design principles applied at each step are transparent. The model balances filling-in as figure against complementary filling-in as ground, which blocks spurious figure completions. Lobe computations occur on a subpixel spatial scale. Originally designed to fill-in missing contours in an incomplete image such as a dashed line, the same CONFIGR system connects and segments sparse dots, and unifies occluded objects from pieces locally identified as figure in the initial recognition stage. The model self-scales its completion distances, filling-in across gaps of any length, where unimpeded, while limiting connections among dense image-figure pixel groups that already have intrinsic form. Long-range image completion promises to play an important role in adaptive processors that reconstruct images from highly compressed video and still camera images.Air Force Office of Scientific Research (F49620-01-1-0423); National Geospatial-Intelligence Agency (NMA 201-01-1-0216); National Science Foundation (SBE-0354378); Office of Naval Research (N000014-01-1-0624

    Designing a Wireless Sensors Network for Monitoring and Predicting Droughts

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    Global warming and lack of rain were the main problems that caused increased drought around the world. In New Zealand, according to National Institute of Water and Atmospheric Research (NIWA) the drought in 2012 and 2013 was the worst drought in the last 70 years. Therefore, there is a need for technological intervention to monitor basic information about the weather and soil condition in order to identify and predict drought conditions. Initial experiments have shown that the proposed wireless sensor drought monitoring system is capable of remote real-time monitoring for extended periods. This monitoring can also help identify drought in the early stages and thereby indicate promptly when to take corrective measures. Intelligent sensors in a wireless network monitor the soil condition. These sensors collect various environmental parameters and then send the pre-processed data wirelessly to a base station. From the base station this data uploads every two seconds to the cloud (internet) for further analysis. If a drought condition is identified by the monitoring system then an alert message is sent to the user via text message or email

    Designing a Wireless Sensors Network for Monitoring and Predicting Droughts

    Get PDF
    Global warming and lack of rain were the main problems that caused increased drought around the world. In New Zealand, according to National Institute of Water and Atmospheric Research (NIWA) the drought in 2012 and 2013 was the worst drought in the last 70 years. Therefore, there is a need for technological intervention to monitor basic information about the weather and soil condition in order to identify and predict drought conditions. Initial experiments have shown that the proposed wireless sensor drought monitoring system is capable of remote real-time monitoring for extended periods. This monitoring can also help identify drought in the early stages and thereby indicate promptly when to take corrective measures. Intelligent sensors in a wireless network monitor the soil condition. These sensors collect various environmental parameters and then send the pre-processed data wirelessly to a base station. From the base station this data uploads every two seconds to the cloud (internet) for further analysis. If a drought condition is identified by the monitoring system then an alert message is sent to the user via text message or email

    A study of nonwoven composites

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    Preliminary work on nonwoven composites at The University of Tennessee showed that spunbond/meltblown (SM) and spunbond/meltblown/spunbond (SMS) nonwoven composites containing side-by-side (S/S) bicomponent PP/PE fiber meltblown webs had lower flexural rigidity than 100%PP SB webs and that the SM composites had discernibly softer hand than did the composites made from 100% PP in the meltblown component. This study further optimizes the production and processing parameters of the SM and SMS laminates containing MB webs with different ratios of the bicomponent polymer pairs PP and PE. The resultant laminates were tested for barrier performance, tensile strength, hydrostatic head (HH), air permeability (AP) and flexural rigidity (FR) properties. Response surface modeling was used for the analysis of the HH, AP, FR and tenacity of both the SM and SMS laminates. The effect of % polypropylene in the bicomponent meltblown web on the properties of the laminates was investigated using qualitative and statistical analysis methods

    A Prey-Predator Model with a Linear Cover the Prey

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    A two species syn-ecological model with a Prey and a predator is considered for analytical study. Here, the prey is protected with a linear cover to some extent from the predator and the predator is supplied with an additional food. nbsp nbsp nbsp First order coupled non-linear ordinary differential equations are used to form the model. Possible latent roots for the system are obtained and their stability established. The linearized equations are solved completely and results are noted
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