2,181 research outputs found

    New Minimal Distortion Shift Gauge

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    Based on the recent understanding of the role of the densitized lapse function in Einstein's equations and of the proper way to pose the thin sandwich problem, a slight readjustment of the minimal distortion shift gauge in the 3+1 approach to the dynamics of general relativity allows this shift vector to serve as the vector potential for the longitudinal part of the extrinsic curvature tensor in the new approach to the initial value problem, thus extending the initial value decomposition of gravitational variables to play a role in the evolution as well. The new shift vector globally minimizes the changes in the conformal 3-metric with respect to the spacetime measure rather than the spatial measure on the time coordinate hypersurfaces, as the old shift vector did.Comment: 5 page ReVTeX4 twocolumn latex file, no figures; slight revision: last sentence of section 2 deleted and replaced, citations reordered, additonal paragraph added to introduction with short explanation of the initial value problem and its thin sandwich variation, Yvonne Choquet-Bruhat reference added and acknowledgment expanded to include he

    In Memoriam Gustavus Hill Robinson

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    In Memoriam Gustavus Hill Robinson

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    The Evolving Landscape of Internet Control

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    Over the past two years, we have undertaken several studies at the Berkman Center designed to better understand the control of the Internet in less open societies. During the years we've been engaged in this research, we have seen many incidents that have highlighted the continuing role of the Internet as a battleground for political control, including partial or total Internet shutdowns in China, Iran, Egypt, Libya, and Syria; many hundreds of documented DDoS, hacking, and other cyber attacks against political sites; continued growth in the number of countries that filter the Internet; and dozens of well documented cases of on- and offline persecution of online dissidents. The energy dedicated to these battles for control of the Internet on both the government and dissident sides indicated, if nothing else, that both sides think that the Internet is a critical space for political action. In this paper, we offer an overview of our research in the context of these changes in the methods used to control online speech, and some thoughts on the challenges to online speech in the immediate future

    Failures in power-combining arrays

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    We derive a simple formula for the change in output when a device fails in a power-combining structure with identical matched devices. The loss is written in terms of the scattering coefficient of the failed device and reflection coefficient of an input port in the combining network. We apply this formula to several power combiners, including arrays in free space and enclosed waveguide structures. Our simulations indicate the output power degrades gracefully as devices fail, which is in agreement with previously published results

    Constraint Damping in First-Order Evolution Systems for Numerical Relativity

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    A new constraint suppressing formulation of the Einstein evolution equations is presented, generalizing the five-parameter first-order system due to Kidder, Scheel and Teukolsky (KST). The auxiliary fields, introduced to make the KST system first-order, are given modified evolution equations designed to drive constraint violations toward zero. The algebraic structure of the new system is investigated, showing that the modifications preserve the hyperbolicity of the fundamental and constraint evolution equations. The evolution of the constraints for pertubations of flat spacetime is completely analyzed, and all finite-wavelength constraint modes are shown to decay exponentially when certain adjustable parameters satisfy appropriate inequalities. Numerical simulations of a single Schwarzschild black hole are presented, demonstrating the effectiveness of the new constraint-damping modifications.Comment: 11 pages, 5 figure

    DNA methylation associated with postpartum depressive symptoms overlaps findings from a genome-wide association meta-analysis of depression

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    Background Perinatal depressive symptoms have been linked to adverse maternal and infant health outcomes. The etiology associated with perinatal depressive psychopathology is poorly understood, but accumulating evidence suggests that understanding inter-individual differences in DNA methylation (DNAm) patterning may provide insight regarding the genomic regions salient to the risk liability of perinatal depressive psychopathology. Results Genome-wide DNAm was measured in maternal peripheral blood using the Infinium MethylationEPIC microarray. Ninety-two participants (46% African-American) had DNAm samples that passed all quality control metrics, and all participants were within 7 months of delivery. Linear models were constructed to identify differentially methylated sites and regions, and permutation testing was utilized to assess significance. Differentially methylated regions (DMRs) were defined as genomic regions of consistent DNAm change with at least two probes within 1 kb of each other. Maternal age, current smoking status, estimated cell-type proportions, ancestry-relevant principal components, days since delivery, and chip position served as covariates to adjust for technical and biological factors. Current postpartum depressive symptoms were measured using the Edinburgh Postnatal Depression Scale. Ninety-eight DMRs were significant (false discovery rate \u3c 5%) and overlapped 92 genes. Three of the regions overlap loci from the latest Psychiatric Genomics Consortium meta-analysis of depression. Conclusions Many of the genes identified in this analysis corroborate previous allelic, transcriptomic, and DNAm association results related to depressive phenotypes. Future work should integrate data from multi-omic platforms to understand the functional relevance of these DMRs and refine DNAm association results by limiting phenotypic heterogeneity and clarifying if DNAm differences relate to the timing of onset, severity, duration of perinatal mental health outcomes of the current pregnancy or to previous history of depressive psychopathology
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