Dynamic Density Response of Trapped Interacting Quantum Gases

An expression for the dynamic density response function has been obtained for an interacting quantum gas in Random Phase Approximation (RPA) including first order self and exchange contribution. It involves the single particle wave functions and eigen values. The expression simplifies when diagonal elements are considered. The diagonal elements of the imaginary part of Fourier transformed response function is relevant in the measurement of Bragg scattering cross-section and in several other applications.Comment: 2 pages, 0 figure, conferenc

AdS (In)stability: Lessons From The Scalar Field

We argued in arXiv:1408.0624 that the quartic scalar field in AdS has features that could be instructive for answering the gravitational stability question of AdS. Indeed, the conserved charges identified there have recently been observed in the full gravity theory as well. In this paper, we continue our investigation of the scalar field in AdS and provide evidence that in the Two-Time Formalism (TTF), even for initial conditions that are far from quasi-periodicity, the energy in the higher modes at late times is exponentially suppressed in the mode number. Based on this and some related observations, we argue that there is no thermalization in the scalar TTF model within time-scales that go as $\sim 1/\epsilon^2$, where $\epsilon$ measures the initial amplitude (with only low-lying modes excited). It is tempting to speculate that the result holds also for AdS collapse.Comment: 10 pages, 4 figure

Dependence of structure factor and correlation energy on the width of electron wires

The structure factor and correlation energy of a quantum wire of thickness $b\ll a_B$ are studied in random phase approximation and for the less investigated region $r_s<1$. Using the single-loop approximation, analytical expressions of the structure factor have been obtained. The exact expressions for the exchange energy are also derived for a cylindrical and harmonic wire. The correlation energy $\epsilon_c$ is found to be represented by $\epsilon_c (b,r_s)= \frac{\alpha(r_s)}{b} + \beta(r_s)\; ln(b) + \eta(r_s)$, for small $b$ and high densities. For a pragmatic width of the wire, the correlation energy is in agreement with the quantum Monte Carlo simulation data.Comment: Being slightly modifie

Smooth Non-negative Matrix Factorization framework for visually appealing storyboard

We present a novel framework to consequently identify occasions from search log information and produce storyboards where the occasions are orchestrated sequentially. We picked picture look log as the asset for occasion mining, as search logs can straightforwardly mirror individuals' inclinations. To find occasions from log information, we present a Smooth Nonnegative Matrix Factorization structure (SNMF) which consolidates the data of question semantics, transient relationships, search logs and time congruity. Also, we consider the time factor a significant component since various occasions will create in various time inclinations. Also, to give a media-rich and outwardly engaging storyboard, every occasion is related with a lot of delegate photographs orchestrated along a course of events. These applicable photographs are naturally chosen from picture query items by investigating picture content features

Data compression through separation, transmission and encoded values of RGB

This introduces a novel algorithm for image compression meaning to diminishdata parcel size, bringing about powerful transfer speed use duringdata transmissions. The algorithm alluded to as Differential Subtraction Chain (DSC) comprises of three stages. Initially, it isolates a image document to three matrices of RGB. Second, it registers component astute various qualities in every pixel among R and G matrices, and among G and B frameworks. Third, the various qualities are twofold encoded and changed to successive vectors all together fordata transmissions. In our MATLAB reproductions, the exhibition measure is compression proportion which is determined by [1-(packeddata size/uniquedata size)] 100%. The compression proportions yielded by our DSC tried with three benchmarking images of city, Lenna and Mandrill are 44.02%, 42.02% and 39.86%, individually

Importance of Technological Innovation for SME Growth: Evidence from India

This paper probes the drivers, dimensions, achievements, and outcomes of technological innovations carried out by SMEs in the auto components, electronics, and machine tool sectors of Bangalore in India. Further, it ascertains the growth rates of innovative SMEs vis-à-vis non-innovative SMEs in terms of sales turnover, employment, and investment. Thereafter, it probes the relationship between innovation and growth of SMEs by (i) estimating a correlation between innovation sales and sales growth, (ii) calculating innovation sales for high, medium, and low growth innovative SMEs and doing a aggregate one-way ANOVA, and (iii) ascertaining the influence of innovation sales, along with investment growth and employment growth on gross value-added growth by means of multiple regression analysis. The paper brings out substantial evidence to argue that innovations of SMEs contributed to their growth.Technological innovations, sales growth, auto components, electronics, machine tools, Bangalore

Multiplex biomarkers in blood

Advances in the field of blood biomarker discovery will help in identifying Alzheimer\u27s disease in its preclinical stage, allowing treatment to be initiated before irreversible damage occurs. This review discusses some recent past and current approaches being taken by researchers in the field. Individual blood biomarkers have been unsuccessful in defining the disease pathology, progression and thus diagnosis. This directs to the need for discovering a multiplex panel of blood biomarkers as a promising approach with high sensitivity and specificity for early diagnosis. However, it is a great challenge to standardize a worldwide blood biomarker panel due to the innate differences in the population tested, nature of the samples and methods utilised in different studies across the globe. We highlight several issues that result in the lack of reproducibility in this field of research currently faced by researchers. Several important measures are summarized towards the end of the review that can be taken to minimize the variability among various centres