Tensor product theorem for Hitchin pairs -An algebraic approach

We give an algebraic approach to the study of Hitchin pairs and prove the tensor product theorem for Higgs semistable Hitchin pairs over smooth projective curves defined over algebraically closed fields $k$ of characteristic $0$ and characteristic $p$, with $p$ satisfying some natural bounds. We also prove the corresponding theorem for polystable bundles.Comment: To appear in Annales de l'Institut Fourier, Volume 61 (2011

An analogue of the Narasimhan-Seshadri theorem and some applications

We prove an analogue in higher dimensions of the classical Narasimhan-Seshadri theorem for strongly stable vector bundles of degree 0 on a smooth projective variety $X$ with a fixed ample line bundle $\Theta$. As applications, over fields of characteristic zero, we give a new proof of the main theorem in a recent paper of Balaji and Koll\'ar and derive an effective version of this theorem; over uncountable fields of positive characteristics, if $G$ is a simple and simply connected algebraic group and the characteristic of the field is bigger than the Coxeter index of $G$, we prove the existence of strongly stable principal $G$ bundles on smooth projective surfaces whose holonomy group is the whole of $G$.Comment: 42 pages. Theorem 3 of this version is new. Typos have been corrected. To appear in Journal of Topolog

Analysis of impact energy absorption of kevlar and polyester composite impregnated with corn starch shear thickening fluid

Kevlar and polyester (PET) composite structures have been developed through layering by impregnation with optimizedcorn starch shear thickening fluid (CS−STF), prepared using corn starch (CS) and polyethylene glycol (PEG). Corn starchhas been characterized for particle size and distribution through dynamic light scattering. The CS and PEG ratio (40:60,46:54, 52:48 and 58:42) has been studied through fluidity and shear thickening measurements using in-house funnelcollector and electro-mechanical shearing stirrer through ampere measurement studies respectively. Based on the establishedimpact energy calibration curve and energy calculations, the impact energy absorption of CS−STF impregnated fibrecomposites have been studied. The order of layering of the STF in impregnated textile structures has been systematicallystudied for effective impact energy absorption. Shearing studies reveal that at and above shearing time of 3000 μs, shearthickening is found to be prominent for the optimum CS: PEG ratio of 52: 48. Similar trend is also observed in the impactenergy absorption studies of textile structures impregnated with the CS−STF. One layer of kevlar woven fabric followed byone or more layers of PET nonwovens with CS−STF show good performance in impact energy absorption. Similar trend isalso observed in 6, 5 and 4 kevlar layering. It is observed that the presence of more than one layer of kevlar on the top of thenonwovens in the composite does not contribute; rather it decreases the energy absorption. The treated structures show100 % antimicrobial activity by AATCC 100 method and they do not develop smell, while the untreated samples developmicrobes with intense smell

Analysis of impact energy absorption of kevlar and polyester composite impregnated with corn starch shear thickening fluid

80-89Kevlar and polyester (PET) composite structures have been developed through layering by impregnation with optimized corn starch shear thickening fluid (CS−STF), prepared using corn starch (CS) and polyethylene glycol (PEG). Corn starch has been characterized for particle size and distribution through dynamic light scattering. The CS and PEG ratio (40:60, 46:54, 52:48 and 58:42) has been studied through fluidity and shear thickening measurements using in-house funnel collector and electro-mechanical shearing stirrer through ampere measurement studies respectively. Based on the established impact energy calibration curve and energy calculations, the impact energy absorption of CS−STF impregnated fibre composites have been studied. The order of layering of the STF in impregnated textile structures has been systematically studied for effective impact energy absorption. Shearing studies reveal that at and above shearing time of 3000 µs, shear thickening is found to be prominent for the optimum CS: PEG ratio of 52: 48. Similar trend is also observed in the impact energy absorption studies of textile structures impregnated with the CS−STF. One layer of kevlar woven fabric followed by one or more layers of PET nonwovens with CS−STF show good performance in impact energy absorption. Similar trend is also observed in 6, 5 and 4 kevlar layering. It is observed that the presence of more than one layer of kevlar on the top of the nonwovens in the composite does not contribute; rather it decreases the energy absorption. The treated structures show 100 % antimicrobial activity by AATCC 100 method and they do not develop smell, while the untreated samples develop microbes with intense smell

Study on non-verbal communication knowledge among doctors of non-clinical and para clinical departments of Government Vellore medical college hospital, Vellore, Tamil Nadu, India

Background: Many Studies and Research Articles in our medical field focuses on Verbal Communication component. The Non-Verbal Component has been neglected in many circumstances. But Medical science endorses that Non-Verbal component plays a major role in the communication process in all set ups whether it is in the classrooms, Examination Hall, Outpatient Room or Wards or Intensive Care Units. The objective of this study is to access the knowledge and Awareness of NVC Component among Doctors of Non-Clinical and Para Clinical Departments of GVMCH - Vellore, Tamil Nadu, India.Methods: This Cross-Sectional Study was conducted among 45 Doctors across 7 Departments of Government Medical College Vellore. Mean, Median, Mode and Standard Deviation were used for quantitative Data and Pearson Chi Square Test and Logistic regression was used for qualitative Data using Trial Version of SPSS 22.Results: The mean Score was 7.2±2.8 with Mean scoring percentile of 28.8 ±11.5. There was Pearson’s Chi Square significance for Variables like External Resources related to NVC, Books related to NVC, UG and PG pursued at, Exposure to Workshops or CME s related to NVC, and age Group 35 years.Conclusions: Variables like External resources, UG studied at same state, Age Group >35 years Showed Statistical significance in knowledge on Non-Verbal communication in this Study set up

A Review of Lightweight Thread Approaches for High Performance Computing

High-level, directive-based solutions are becoming the programming models (PMs) of the multi/many-core architectures. Several solutions relying on operating system (OS) threads perfectly work with a moderate number of cores. However, exascale systems will spawn hundreds of thousands of threads in order to exploit their massive parallel architectures and thus conventional OS threads are too heavy for that purpose. Several lightweight thread (LWT) libraries have recently appeared offering lighter mechanisms to tackle massive concurrency. In order to examine the suitability of LWTs in high-level runtimes, we develop a set of microbenchmarks consisting of commonly-found patterns in current parallel codes. Moreover, we study the semantics offered by some LWT libraries in order to expose the similarities between different LWT application programming interfaces. This study reveals that a reduced set of LWT functions can be sufficient to cover the common parallel code patterns andthat those LWT libraries perform better than OS threads-based solutions in cases where task and nested parallelism are becoming more popular with new architectures.The researchers from the Universitat Jaume I de Castelló were supported by project TIN2014-53495-R of the MINECO, the Generalitat Valenciana fellowship programme Vali+d 2015, and FEDER. This work was partially supported by the U.S. Dept. of Energy, Office of Science, Office of Advanced Scientific Computing Research (SC-21), under contract DEAC02-06CH11357. We gratefully acknowledge the computing resources provided and operated by the Joint Laboratory for System Evaluation (JLSE) at Argonne National Laboratory.Peer ReviewedPostprint (author's final draft

Semistable principal bundles-II (positive characteristics)

Let H be a semisimple algebraic group and let X be a smooth projective curve defined over an algebraically closed field k. The principal aim of this paper is to prove the existence and projectivity of the moduli spaces of principal H-bundles on X for fields of characteristic p, p > Ψ, where Ψ is a certain representation-theoretic index associated to H. The projectivity is a consequence of the semistable reduction theorem for principal H-bundles