Root Isolation of Zero-dimensional Polynomial Systems with Linear Univariate Representation

In this paper, a linear univariate representation for the roots of a zero-dimensional polynomial equation system is presented, where the roots of the equation system are represented as linear combinations of roots of several univariate polynomial equations. The main advantage of this representation is that the precision of the roots can be easily controlled. In fact, based on the linear univariate representation, we can give the exact precisions needed for roots of the univariate equations in order to obtain the roots of the equation system to a given precision. As a consequence, a root isolation algorithm for a zero-dimensional polynomial equation system can be easily derived from its linear univariate representation.Comment: 19 pages,2 figures; MM-Preprint of KLMM, Vol. 29, 92-111, Aug. 201

What Factors Influence Customers’ Purchase Intentions in Travel-Related Social Commerce?

Social commerce significantly impacts the tourism and hospitality industry. Nonetheless, further empirical research investigating the factors that impact the purchase intentions of those who engage with travel-related social commerce. Combining the Uses and Gratification Theory (UGT) and TAM, the present study will investigate the relationships between purchases intentions and the following factors: perceived usefulness, perceived ease-of-use, entertainment, interaction and information seeking. During the research, four different models will be compared. The Ridge Model will be used to explain the effects of the aforementioned factors. The findings indicate that customers’ social commerce purchase intentions are positively impacted by all five factors

What are the impetuses Behind E-health applications’ self-management services’ ongoing adoption by health community participants?

Over the past 20 years, the identification of interventions related to healthcare management has been greatly facilitated by improvements in the well-being and health of the entire population. However, regardless of the positive developments in smart health applications and e-health research, there are two important gaps, (1) the role of gamification variables in the continued use of eHealth applications has not been adequately assessed, and (2) the extent to which people’s perception of the continued use of e-health applications is encouraged through habit. Customers and companies can derive considerable value from exploring E-Health applications’ health self-management services. Accordingly, estimating such services’ ongoing adoption by customers is aimed for in this research, with habits, intrinsic and extrinsic variables incorporated into a study model which is then tested. This paper examined perceived autonomy, perceived competence, perceived relatedness has positively related to enjoyment and habit. Reward has positively related to perceived autonomy and continued to use. Enjoyment and Habit have positively associated with the decision to continue to use in e-Health Apps. 269 individuals who have used Chinese e-health applications comprised the data collection sample, being reached via an online questionnaire. Data analysis was undertaken using Partial Least Squares Structural Equation Modelling (PLS-SEM). It was found that the ongoing adoption of e-health self-management services was perpetuated to a greater extent by intrinsic variables; in terms of strategizing for companies’ e-services, the results can inform this process

Fourth generation Majorana neutrino, dark matter and Higgs physics

We consider extensions of the standard model with fourth generation fermions (SM4) in which extra symmetries are introduced such that the transitions between the fourth generation fermions and the ones in the first three generations are forbidden. In these models, the stringent lower bounds on the masses of fourth generation quarks from direct searches are relaxed, and the lightest fourth neutrino is allowed to be stable and light enough to trigger the Higgs boson invisible decay. In addition, the fourth Majorana neutrino can be a subdominant but highly detectable dark matter component. We perform a global analysis of the current LHC data on the Higgs production and decay in this type of SM4. The results show that the mass of the lightest fourth Majorana neutrino is confined in the range $\sim 41-59$ GeV. Within the allowed parameter space, the predicted effective cross-section for spin-independent DM-nucleus scattering is $\sim 3\times 10^{-48}-6\times 10^{-46} \text{cm}^{2}$, which is close to the current Xenon100 upper limit and is within the reach of the Xenon1T experiment in the near future. The predicted spin-dependent cross sections can also reach $\sim 8\times 10^{-40}\text{cm}^{2}$.Comment: arXiv admin note: substantial text overlap with arXiv:1110.293

Probing WL′WHW^\prime_L WH and WR′WHW^\prime_R W H Interaction at LHC

Many new physics models predict the existence of TeV-scale charged gauge boson $W^\prime$ together with Higgs boson(s). We study the $W^\prime WH$ interaction and explore the angular distribution of charged lepton to distinguish $W_R^\prime WH$ from $W_L^\prime WH$ in $pp\to HW\to b \bar b l \nu$ process at the LHC. It is found that a new type forward-backward asymmetry($A_{FB}$) relating to the angle between the direction of the charged lepton in $W$ rest frame and that of the reconstructed $W^\prime$ in laboratory frame is useful to investigate the properties of $W^\prime W H$ interaction. We analyze the Standard Model backgrounds and develop a set of cuts to highlight the signal and suppress the backgrounds at LHC. We find that $A_{FB}$ can reach 0.03(-0.07) for $W_R^\prime$($W_L^\prime$) production at $\sqrt{S}=14$ TeV