563 research outputs found

    Some remarks on the isoperimetric problem for the higher eigenvalues of the Robin and Wentzell Laplacians

    Full text link
    We consider the problem of minimising the kkth eigenvalue, k2k \geq 2, of the (pp-)Laplacian with Robin boundary conditions with respect to all domains in RN\mathbb{R}^N of given volume MM. When k=2k=2, we prove that the second eigenvalue of the pp-Laplacian is minimised by the domain consisting of the disjoint union of two balls of equal volume, and that this is the unique domain with this property. For p=2p=2 and k3k \geq 3, we prove that in many cases a minimiser cannot be independent of the value of the constant α\alpha in the boundary condition, or equivalently of the volume MM. We obtain similar results for the Laplacian with generalised Wentzell boundary conditions Δu+βuν+γu=0\Delta u + \beta \frac{\partial u}{\partial \nu} + \gamma u = 0.Comment: 16 page

    Optical Spectra of SNR Candidates in NGC 300

    Full text link
    We present moderate-resolution (<5A) long-slit optical spectra of 51 nebular objects in the nearby Sculptor Group galaxy NGC 300 obtained with the 2.3 meter Advanced Technology Telescope at Siding Spring Observatory, Australia. Adopting the criterion of [SII]/Ha>=0.4 to confirm supernova remnants (SNRs) from optical spectra, we find that of 28 objects previously proposed as SNRs from optical observations, 22 meet this criterion with six showing [SII]/Ha of less than 0.4. Of 27 objects suggested as SNRs from radio data, four are associated with the 28 previously proposed SNRs. Of these four, three (included in the 22 above) meet the criterion. In all, 22 of the 51 nebular objects meet the [SII]/Ha criterion as SNRs while the nature of the remaining 29 objects remains undetermined by these observations.Comment: Accepted for publication in Astrophysics & Space Scienc

    Pathprinting: An integrative approach to understand the functional basis of disease

    Get PDF
    New strategies to combat complex human disease require systems approaches to biology that integrate experiments from cell lines, primary tissues and model organisms. We have developed Pathprint, a functional approach that compares gene expression profiles in a set of pathways, networks and transcriptionally regulated targets. It can be applied universally to gene expression profiles across species. Integration of large-scale profiling methods and curation of the public repository overcomes platform, species and batch effects to yield a standard measure of functional distance between experiments. We show that pathprints combine mouse and human blood developmental lineage, and can be used to identify new prognostic indicators in acute myeloid leukemia. The code and resources are available at http://​compbio.​sph.​harvard.​edu/​hidelab/​pathprin

    Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction

    Full text link
    Charge-symmetry breaking in the nucleon-nucleon force is investigated within an effective field theory, using a classification of isospin-violating interactions based on power-counting arguments. The relevant charge-symmetry-breaking interactions corresponding to the first two orders in the power counting are discussed, including their effects on the 3He-3H binding-energy difference. The static charge-symmetry-breaking potential linear in the nucleon-mass difference is constructed using chiral perturbation theory. Explicit formulae in momentum and configuration spaces are presented. The present work completes previously obtained results.Comment: 15 pages, 2 figure

    Fish heating tolerance scales similarly across individual physiology and populations

    Get PDF
    Extrapolating patterns from individuals to populations informs climate vulnerability models, yet biological responses to warming are uncertain at both levels. Here we contrast data on the heating tolerances of fishes from laboratory experiments with abundance patterns of wild populations. We find that heating tolerances in terms of individual physiologies in the lab and abundance in the wild decline with increasing temperature at the same rate. However, at a given acclimation temperature or optimum temperature, tropical individuals and populations have broader heating tolerances than temperate ones. These congruent relationships implicate a tight coupling between physiological and demographic processes underpinning macroecological patterns, and identify vulnerability in both temperate and tropical species
    corecore