On Fixed Point theorems in Fuzzy Metric Spaces in Integral Type

Abstract: This paper presents some common fixed point theorems for occasionally weakly compatible mappings in fuzzy metric spaces. Keywords: Occasionally weakly compatible mappings,fuzzy metric space

Hawking Fluxes, Back reaction and Covariant Anomalies

Starting from the chiral covariant effective action approach of Banerjee and Kulkarni [Phys. Lett. B 659, 827(2008)], we provide a derivation of the Hawking radiation from a charged black hole in the presence of gravitational back reaction. The modified expressions for charge and energy flux, due to effect of one loop back reaction are obtained.Comment: 6 pages, no figures, minor changes and references added, to appear in Classical and Quantum Gravit

Poster 90 Effect of Exercise on a Novel Clinical Test for Reaction Time

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/146913/1/pmr2s171a.pd

Near real-time determination of earthquake source parameters for tsunami early warning from geodetic observations

Exemplifying the tsunami source immediately after an earthquake is the most critical component of tsunami early warning, as not every earthquake generates a tsunami. After a major under sea earthquake, it is very important to determine whether or not it has actually triggered the deadly wave. The near real-time observations from near field networks such as strong motion and Global Positioning System (GPS) allows rapid determination of fault geometry. Here we present a complete processing chain of Indian Tsunami Early Warning System (ITEWS), starting from acquisition of geodetic raw data, processing, inversion and simulating the situation as it would be at warning center during any major earthquake. We determine the earthquake moment magnitude and generate the centroid moment tensor solution using a novel approach which are the key elements for tsunami early warning. Though the well established seismic monitoring network, numerical modeling and dissemination system are currently capable to provide tsunami warnings to most of the countries in and around the Indian Ocean, the study highlights the critical role of geodetic observations in determination of tsunami source for high-quality forecasting

Worldline Monte Carlo method for few body nuclear physics

In this work we introduce a worldline based fermion Monte Carlo algorithm for studying few body quantum mechanics of self-interacting fermions in the Hamiltonian lattice formulation. Our motivation to construct the method comes from our interest in studying renormalization of chiral nuclear effective field theory with lattice regularization. In particular we wish to apply our method to compute the lattice spacing dependence of local lattice interactions as we take the continuum limit of the lattice theory. Our algorithm can compute matrix elements of the operator $\exp(-\beta H)$ where $H$ is the lattice Hamiltonian and $\beta$ is a free real parameter. These elements help us compute deep bound states that are well separated from scattering states even at values of $\beta$ which are not very large. Computing these bound state energies accurately can help us study renormalization of the lattice theory. In addition to developing the algorithm, in this work we also introduce a finite volume renormalization scheme for the lattice Hamiltonian of the leading pionless effective field theory and show how it would work in the one and two body sectors.Comment: 23 pages, 8 figures, 17 table

On Fixed Point theorems in Fuzzy 2-Metric Spaces and Fuzzy 3-Metric Spaces

In this paper, we give some new definitions of compatible mappings of types (I) and  (II) in fuzzy-2 metric space and fuzzy-3 metric space prove some common  fixed point theorems  for mappings under the condition of compatible mappings of types (I) and (II) in complete fuzzy-2 metric space and fuzzy-3 metric space. Our results extend, generalize and improve the corresponding results given by many authors. Keywords: Fuzzy metric space, Fuzzy 2-metric space, fuzzy-3 metric space ,Compatible mappings, Common fixed point

Formulation and Evaluation of Controlled-Release Tablet of Zolpidem Tartrate by Melt Granulation Technique

The present investigation describes the influence of the concentration of PEG 6000 as a melt binder and ratio of HPMC K4M : PVP on Zolpidem tartrate controlled-release tablet formulations using 32 full factorial design. The ratio of HPMC K4M and PVP K30 (X1) and the concentration of melt binder (X2) were selected as independent variables, and drug release at 1 hr (Q1), 4 hr (Q4), 8 hr (Q8), diffusion coefficient (n), and release rate constant (K) were selected as a dependent variable. Tablets were prepared by melt granulation technique and evaluated for various evaluation parameters. It was observed that concentration of melt binder had significant effect on Q1, Q4, n, and K Binder concentration 25% w/w was found optimum. Optimized formulation (F7) showed good similarity with theoretical profile of drug. The X2 variable had a significant effect on dependent variables, and the X1 variable had no significant effect on dependent variables