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QUALITATIVE UNCERTAINTY PRINCIPLE FOR GABOR TRANSFORM
Bansal, Ashish,Kumar, Ajay Korean Mathematical Society 2017 대한수학회보 Vol.54 No.1
We discuss the qualitative uncertainty principle for Gabor transform on certain classes of the locally compact groups, like abelian groups, ${\mathbb{R}}^n{\times}K$, K ⋉ ${\mathbb{R}}^n$ where K is compact group. We shall also prove a weaker version of qualitative uncertainty principle for Gabor transform in case of compact groups.
Quantitative equivalence between polymer nanocomposites and thin polymer films
Bansal, Amitabh,Yang, Hoichang,Li, Chunzhao,Cho, Kilwon,Benicewicz, Brian C.,Kumar, Sanat K.,Schadler, Linda S. Nature Publishing Group 2005 Nature materials Vol.4 No.9
The thermomechanical responses of polymers, which provide limitations to their practical use, are favourably altered by the addition of trace amounts of a nanofiller. However, the resulting changes in polymer properties are poorly understood, primarily due to the non-uniform spatial distribution of nanoparticles. Here we show that the thermomechanical properties of ‘polymer nanocomposites’ are quantitatively equivalent to the well-documented case of planar polymer films. We quantify this equivalence by drawing a direct analogy between film thickness and an appropriate experimental interparticle spacing. We show that the changes in glass-transition temperature with decreasing interparticle spacing for two filler surface treatments are quantitatively equivalent to the corresponding thin-film data with a non-wetting and a wetting polymer–particle interface. Our results offer new insights into the role of confinement on the glass transition, and we conclude that the mere presence of regions of modified mobility in the vicinity of the particle surfaces, that is, a simple two-layer model, is insufficient to explain our results. Rather, we conjecture that the glass-transition process requires that the interphase regions surrounding different particles interact.
THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
BANSAL, DEEPAK,MAHARANA, SUDHANANDA,PRAJAPAT, JUGAL KISHORE Korean Mathematical Society 2015 대한수학회지 Vol.52 No.6
The estimate of third Hankel determinant $$H_{3,1}(f)=\left|a_1\;a_2\;a_3\\a_2\;a_3\;a_4\\a_3\;a_4\;a_5\right|$$ of the analytic function $f(z)=z+a2z^2+a3z^3+{\cdots}$, for which ${\Re}(1+zf^{{\prime}{\prime}}(z)/f^{\prime}(z))>-1/2$ are investigated. The corrected version of a known results [2, Theorem 3.1 and Theorem 3.3] are also obtained.
Effect of Nonnormality on Bayes Decision Function for Testing Normal Mean
Bansal, Ashok K. The Korean Statistical Society 1979 Journal of the Korean Statistical Society Vol.8 No.1
A zone of sensitivity is developed to investigate the effect of nonnormality on the Bayes decision function for testing mean of a normal population when either parent or prior belongs to Edgeworthian family of moderately nonnormal probability density functions.
Robustness of Bayes forecast to Non-normality
Bansal, Ashok K. The Korean Statistical Society 1978 Journal of the Korean Statistical Society Vol.7 No.1
Bayesian procedures are in vogue to revise the parameter estimates of the forecasting model in the light of actual time series data. In this paper, we study the Bayes forecast for demand and the risk when (a) 'noise' and (b) mean demand rate in a constant process model have moderately non-normal probability distributions.
Robustness of Predictive Density and Optimal Treatment Allocation to Non-Normal Prior for The Mean
Bansal, Ashok K.,Sinha, Pankaj The Korean Statistical Society 1993 Journal of the Korean Statistical Society Vol.22 No.2
The predictive density function of a potential future observation and its first four moments are obtained in this paper to study the effects of a non-normal prior of the unknown mean of a normal population. The derived predictive density function is modified to study changes in utility curves, used to choose the optimum treatment from a given set of treatments, at a given level of stimulus due to slight deviations from normality of the prior distribution. Numerical illustrations are provided to exhibit some effectsl.
Bansal, Namrata,Cho, Myung Rae,Brahlek, Matthew,Koirala, Nikesh,Horibe, Yoichi,Chen, Jing,Wu, Weida,Park, Yun Daniel,Oh, Seongshik American Chemical Society 2014 NANO LETTERS Vol.14 No.3
<P>Mechanical exfoliation of bulk crystals has been widely used to obtain thin topological insulator (TI) flakes for device fabrication. However, such a process produces only microsized flakes that are highly irregular in shape and thickness. In this work, we developed a process to transfer the entire area of TI Bi<SUB>2</SUB>Se<SUB>3</SUB> thin films grown epitaxially on Al<SUB>2</SUB>O<SUB>3</SUB> and SiO<SUB>2</SUB> to arbitrary substrates, maintaining their pristine morphology and crystallinity. Transport measurements show that these transferred films have lower carrier concentrations and comparable or higher mobilities than before the transfer. Furthermore, using this process we demonstrated a clear metal–insulator transition in an ultrathin Bi<SUB>2</SUB>Se<SUB>3</SUB> film by gate-tuning its Fermi level into the hybridization gap formed at the Dirac point. The ability to transfer large area TI films to any substrate will facilitate fabrication of TI heterostructure devices, which will help explore exotic phenomena such as Majorana fermions and topological magnetoelectricity.</P><P><B>Graphic Abstract</B> <IMG SRC='http://pubs.acs.org/appl/literatum/publisher/achs/journals/content/nalefd/2014/nalefd.2014.14.issue-3/nl404363b/production/images/medium/nl-2013-04363b_0005.gif'></P>
Review on quantitation methods for hazardous pollutants released by e-cigarette (EC) smoking
Bansal, Vasudha,Kim, Ki-Hyun Elsevier 2016 Trends in analytical chemistry Vol.78 No.-
<P>Due to the growing popularity of e-cigarettes (ECs), the number of young EC smokers has increased since their introduction less than a decade ago. This development has alarmed public health experts, prompting researchers to identify potential hazards of EC use and to help establish guidelines or regulations for the pollutants contained in EC solutions and released in their smoke (such as particulate matter (PM), volatile organic compounds (VOCs), nicotine, polycyclic aromatic compounds (PAHs), carbonyls, and metals). This review was written to cover the techniques currently available for the collection and analysis of EC related pollutants. To this end, this review emphasizes the compositional diversity of the various components present in EC solutions and their smoke. The methods used to analyze different types of EC samples are also evaluated to help establish a standardized protocol for their accurate quantitation. (C) 2016 Elsevier B.V. All rights reserved.</P>