Generalizations on the results of Cao and Zhang

summary:We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials $P(f)\prod _{i=1}^{k}(f^{(i)})^{n_{i}}$ and $P(g)\prod _{i=1}^{k}(g^{(i)})^{n_{i}}$ share a nonzero polynomial with certain degree and our results improve and generalize some recent results in Y.-H. Cao, X.-B. Zhang (2012). Also we exhibit two examples to show that the conditions used in the results are sharp

Customer Satisfaction in Indian Retail Banking: A Grounded Theory Approach

Customer satisfaction is imperative for the long - term success of any organization. More the competition, higher is the necessity to keep the customers satisfied. After liberalization in 1990 and economic reforms and the entry of new service providers in the Indian market, Indian banks – both public sector and private sector are facing enormous competition. In this competitive atmosphere, it becomes essential to understand the factors which might affect customer satisfaction in the Indian retail banking sector. In this study the researchers studied the construct of customer satisfaction with respect to Indian retail banking from a qualitative perspective. We studied the dimensions of customer satisfaction . We applied Grounded Theory Method, a tool for qualitative analysis . We conducted depth interviews and focus groups of Indian retail banking customers. The participants were persons who have availed Indian retail banking services. The analysis included open coding of the data and writing memos, concept generation from the phenomena, index card sorting to identify categories and sub - categories, axial coding to relate the categories and sub - categories, and selective coding to identify the core category. The findings included the concepts generated which would determine the dimensions which might affect customer satisfaction

Pattern Synthesis in Time-Modulated Arrays Using Heuristic Approach

Time-modulation principle evolves as an emerging technology for easy realization of the desired array patterns with the help of an additional degree of freedom, namely, “time.” To the antenna community, the topic, time-modulated antenna array (TMAA) or 4D antenna arrays, has got much attention during the last two decades. However, population-based, stochastic, heuristic evolutionary algorithm plays as an important protagonist to meet the essential requirements on synthesizing the desired array patterns. This chapter is basically devoted to understand the theory of different time-modulation principles and the application of optimization techniques in solving different antenna array synthesis problems. As a first step, the theory of time-modulation principles and the behaviors of the sideband radiation (SBR) that appeared due to time modulation have been studied. Then, different important aspects associated with TMAA synthesis problems have been discussed. These include conflicting parameters, the need of evolutionary algorithms, multiple objectives and their optimization, cost function formation, and selection of weighting factors. After that, a novel approach to design a time modulator for synthesizing TMAAs is presented. Finally, discussing the working principle of an efficient heuristic approach, namely, artificial bee colony (ABC) algorithm, the effectiveness of the time modulator and potentiality of the algorithm are presented through representative numerical examples

Are supersymmetric models with minimal particle content under tension for testing at LHC?

In supersymmetric models with minimal particle content and without large left-right squarks mixing, the conventional knowledge is that the Higgs Boson mass around 125 GeV leads to top squark masses ${\cal O}(10)$ TeV, far beyond the reach of colliders. Here, we pointed out that this conclusion is subject to several theoretical uncertainties. We find that electroweak symmetry breaking and evaluation of Higgs mass at a scale far away from the true electroweak symmetry breaking scale introduce a large uncertainty in Higgs mass calculation. We show that the electroweak symmetry breaking at the scale near the true vacuum expectation value of Higgs field can increase the Higgs Boson mass about 4-5 GeV and can lower the bounds on squarks and slepton masses to 1 TeV. Here we pointed out that the Higgs mass even with inclusion of radiative corrections can vary with electroweak symmetry breaking scale. We calculate it at two loop level and show that it varies substantially. We argue that Higgs mass like other coupling parameters can vary with energy scale and the Higgs potential with all orders loop corrections is scale invariant. This uncertainty to the Higgs mass calculation due to electroweak symmetry breaking around the supersymmetry breaking scale, normally taken as $\sqrt{m_{\tilde t_L} m_{\tilde t_R}}$, to minimize the 1-loop radiative corrections can be removed if one considers all significant radiative contributions to make Higgs potential renormalization group evolution scale invariant and evaluates electroweak symmetry breaking at the scale near the electroweak symmetry breaking scale. A large parameter space becomes allowed when one considers electroweak symmetry breaking at its true scale not only for producing correct values of the Higgs masses, but also for providing successful breaking of this symmetry in more parameter spaces.Comment: 5 pages, 3 figures, Latex, accepted in Phys. Lett.

Solid matrix priming with chitosan enhances seed germination and seedling invigoration in mung bean under salinity stress

The objective of present study was to evaluate the response of the mung bean seeds of ‘Sonali B1’ variety primed with chitosan in four different concentrations (0, 0.1%, 0.2% and 0.5%) under salinity stress of five different concentrations (i.e., 0, 4, 6, 8 and 12 dS*mm-1) and halotolerance pattern by applying Celite as matrix at three different moisture levels (5%, 10% and 20%). Improved germination percentage, germination index, mean germination time, coefficient of velocity of germination along with root and shoot length was observed comparing with control. Germination stress tolerance index (GSI), plant height stress tolerance index (PHSI) and root length stress tolerance index (RLSI) were used to evaluate the tolerance of the mung bean seeds against salinity stress induced by chitosan. Results of GSI, PHSI, RLSI showing noteworthy inhibitory effect of salinity stress in control set was significantly less pronounced in chitosan treated seedlings. Chitosan can remarkably alleviate the detrimental effect of salinity up to the level of 6 dS*m-1, beyond which no improvement was noticed. In conclusion present investigation revealed that chitosan is an ideal elicitor for enhancing the speed of germination and seedling invigoration that synchronize with emergence of radicle and salinity stress tolerance

Dynamical systems analysis of an interacting scalar field model in an anisotropic universe

In this paper, we investigate a non-canonical scalar field model in the background dynamics of anisotropic Locally Rotationally Symmetric (LRS) Bianchi type I universe where gravity is coupled minimally to scalar field which is taken as dark energy and pressureless dust as dark matter are the main matter content of the universe. We perform dynamical system analysis to characterize the cosmological evolution of the model with and without an interaction in the dark sector separately. We consider the interaction term from phenomenological point of view and for mathematical simplicity. First, we convert the evolution equation into an autonomous system of ordinary differential equations by using suitable choice of dimensionless variables which are normalised over Hubble scale. We choose scalar field coupling and potential in such a way that the autonomous system converted to 2D system. Linear stability theory is employed to the extracted critical points to find the nature. From the analysis, we find some cosmological interesting scenarios such as late-time scalar field dominated solutions which evolve in quintessence era, cannot solve the coincidence problem. Accelerated scaling attractors are also obtained that correspond to the late phase evoltion in agreement with present observational data and these solutions also provide possible mechanism to alleviate the coincidence problem. A complete cosmic evolution starting from early inflation to late-time dark energy dominated phase, connecting through a matter-dominated transient phase of the universe is obtained. Furthermore, we find that for different values of the interaction parameter $\alpha$, the evolutionary trajectories of the Hubble parameter and the distance modulus forecasted by the model are in quite well agreement with observational datasets.Comment: 26 pages, six captioned figure

Experimental Investigation of Physical and Mechanical Properties of Al-Cu-ZrO2-TiO2 Composites

Composite Materials plays a vital role in the formation of mankind, ranging from the habitation of early civilisation to enable future modernisation. In this present work titania and zirconia reinforced Al6063-Cu composite has been developed by using a new casting process comprising of clay soil and sand mold. On top of that stirrer mechanism has also been used to mix the hybrid abrasive particles of Single Particle Size (SPS), Double Particle Size (DSP) and Triple Particle Size (TPS) in the Al-Cu alloy which is a completely new approach. Taguchi L18 orthogonal arrays have been used in this study to reduce the number of tests. For this present research work, 5%, 7.5% and 10% of hybrid abrasive have been mixed in the alloy to investigate its different properties like elastic modulus, ductility and density. It has been observed that in addition of the reinforcements in the newly developed composites elastic modulus, ductility and density have been improved to 31.42%, 40% and 19.81% respectively. Due to this improved properties this composite can be used to manufacture bearing, valve, aircraft electronics and many other appliances. The experimental results were analyzed by the SN ratio plot and an RSM model was used to predict these properties and to estimate the affecting factors for each property. Further, the RSM models have been corroborated by performing the experiments on the newly manufactured composites for elastic modulus, ductility and density. The result obtained from RSM model shows good similarity with the experimental results

Human skin interactive self-powered wearable piezoelectric bio-e-skin by electrospun poly-l-lactic acid nanofibers for non-invasive physiological signal monitoring

Flexible and wearable piezoelectric bio e-skin (PBio-e-skin) based on electrospun poly(l-lactic acid) PLLA nanofiber membrane is demonstrated for non-invasive human physiological signal monitoring and detecting dynamic tactile stimuli. The molecular orientations of the CO dipoles by electrospinning technique result in a longitudinal piezoelectric charge co-efficient (d 33 ) value of ∼(3 ± 1) pm V -1 realized by piezoresponse force microscopy, allowing the PBio-e-skin for pressure sensing applications. The robust mechanical strength (Young\u27s modulus ∼50 MPa) of nanofiber membrane ensures PBio-e-skin\u27s superior operational stability over 375000 cycles. Owing to the superior mechanosensitivity of ∼22 V N -1 , PBio-e-skin has the ability to measure subtle movement of muscle in the internal organs such as esophagus, trachea, motion of joints and arterial pressure by recognition of strains on human skin. This flexible and light weight PBio-e-skin precisely detects vital signs and provides important clinical insights without using any external power source. Eventually, the low cost, environmental friendly PBio-e-skin will have a huge impact in a broad range of applications including self-powered wearable health care systems, human-machine interfacing devices, artificial intelligence and prosthetic skin

Antimicrobial Behavior of Biosynthesized Silica-Silver Nanocomposite for Water Disinfection: A Mechanistic Perspective

The biosynthesis of nano-silica silver nanocomposite (NSAgNC) and it’s as antibacterial effect on gram-negative bacteria viz. Escherichia coli and Pseudomonas aeruginosa has been investigated for disinfection of water. The as-synthesized NSAgNC exhibited antibacterial activity in a dose dependent manner and ~99.9% of E. coli and P. aeruginosa were killed at a concentration of 1.5 mg/mL of NSAgNC (5.1 wt% Ag) within 5 h. The NSAgNC showed similar antibacterial activities both in oxic and anoxic conditions. The results further demonstrated that NSAgNC exhibited reactive oxygen species (ROS) independent “particle specific” antibacterial activity through multiple steps in absence of leached out Ag+ ions. The initial binding of NSAgNC on the cell wall caused loss of cell membrane integrity and leakage of cytoplasmic materials. Inhibition of respiratory chain dehydrogenase by NSAgNC caused metabolic inactivation of the cells and affecting the cell viability. Genomic and proteomic studies further demonstrated the fragmentations of both plasmid and genomic DNA and down regulation of protein expression in NSAgNC treated cells, which leading to the cell death. Thus the biosynthesized NSAgNC has great potential as disinfectant for water purification while minimizing the toxic effects