Abstract:
A two parameters equation of state (EOS) for nonaqueous electrolyte solutions system has been developed. The equation is in terms of Helmholtz free energy and incorporated with results of low density expansion of non-primitive mean spherical approximation. The EOS was tested for experimental data reported in literatures of 9 nonaqueous single electrolyte solutions of which the temperature was 298.15 K, and it also has a good predictive capability for nonaqueous electrolyte solutions at different temperature in this work. The comparisons with EOSs published earlier by other researchers in literatures are carried out in detail.

Abstract:
Family business is one of the things in the past, also is the existing way, the model of the future. Based on the 1420 private companies listed in China for 7 years (2006-2012), data statistical analysis found that with the increasing of the year, two rights separation degree of private enterprises were falling. As the change of the institutional environment, involved in the enterprise internal members of the family are increasing, and the source is also diversified. Listed on the mainland China for 717 family enterprises 7 years (2006-2012), the data of empirical test showed that the family members involved in the enterprise are advantageous to the family firm social emotional wealth preservation; the relationship of core family and family enterprise social emotional wealth behavior had a direct relationship. The improvement of the external institutional environment also be advantageous to the family enterprise social emotional wealth preservation, and the external environment will also be able to change influence of the family members involved in the enterprise to family enterprise social emotional wealth preservation behavior. The outbreak of the financial crisis eases the contradiction between the members of the family and the common crisis awareness, which shows the relationship between brothers and relatives and friends with the core family relationship (marriage) family members for the preservation of the family enterprise social emotional wealth which make greater contribution than the second direct generation.

Abstract:
MicroRNAs (miRNAs) are endogenous small non-coding RNAs that repress their targets at post transcriptional level. Single Nucleotide Polymorphisms (SNPs) in miRNAs can lead to severe defects to the functions of miRNAs and might result in diseases. Although several studies have tried to identify the SNPs in human miRNA genes or only in the mature miRNAs, there are only limited endeavors to explain the distribution of SNPs in these important genes. After a genome-wide scan for SNPs in human miRNAs, we totally identified 1899 SNPs in 961 out of the 1527 reported miRNA precursors of human, which is the most complete list of SNPs in human miRNAs to date. More importantly, to explain the distributions of SNPs existed in human miRNAs, we comprehensively and systematically analyzed the identified SNPs in miRNAs from several aspects. Our results suggest that conservation, genomic context, secondary structure, and functional importance of human miRNAs affect the accumulations of SNPs in these genes. Our results also show that the number of SNPs with significantly different frequencies among various populations in the HapMap and 1000 Genome Project data are consistent with the geographical distributions of these populations. These analyses provide a better insight of SNPs in human miRNAs and the spreading of the SNPs in miRNAs in different populations.

Abstract:
The combined radial-axial magnetic bearing (CRAMB) with permanent magnet creating bias flux can reduce the size, cost, and mass and save energy of the magnetic bearing. The CRAMB have three-degree-of-freedom control ability, so its structure and magnetic circuits are more complicated compared to those of the axial magnetic bearing (AMB) or radial magnetic bearing (RMB). And the eddy currents have a fundamental impact on the dynamic performance of the CRAMB. The dynamic stiffness model and its cross coupling problems between different degrees of freedom affected for the CRAMB are proposed in this paper. The dynamic current stiffness and the dynamic displacement stiffness models of the CRAMB are deduced by using the method of equivalent magnetic circuit including eddy current effect, but the dynamic current stiffness of the RMB unit is approximately equal to its static current stiffness. The analytical results of an example show that the bandwidth of the dynamic current stiffness of the AMB unit and the dynamic displacement stiffness of the CRAMB is affected by the time-varying control currents or air gap, respectively. And the dynamic current stiffness and the dynamic displacement stiffness between the AMB unit and the RMB unit are decoupled due to few coupling coefficients. 1. Introduction Most of 5-axis active magnetic bearing systems (MBSs) are usually composed of two radial magnetic bearing (RMB) units and one axial magnetic bearing (AMB) unit [1–5]. These magnetic bearing systems are the easiest way to be produced, but they are also tending to bulky, high power and high cost. In order to reduce the size, cost, and save energy and increase the high-power density of the MBS, which is important to reduce the number of the units by means of furthermore combination the AMB and RMB. A combined radial-axial magnetic bearing (CRAMB) which is named as 3-axis magnetic bearing (MB) is designed for use in an ultra-high-speed machine [6]. The magnetic forces and coupling problems of a combined AMB and RMB are analyzed [7]. The integrated AMB and RMB with conical rotor are designed and analyzed [8, 9], and one downside of the integrated bearings is a strong coupling problem between the radial and axial degrees of freedom. An AC-DC 3-DOF hybrid magnetic bearing is proposed and designed [10]. Structure and control method of an AC-DC 3-DOF hybrid magnetic bearing is introduced in the literature [11–14]. A 3-DOF axial hybrid magnetic bearing [15] is proposed, but the structure and processing technic are very complicated, and its rotational power loss will be large at

Abstract:
Adopting thin film brick-wall model, we calculate the entropy of a nonuniformly rectilinearly accelerating non-stationary black hole expressed by Kinnersley metric. Because the black hole is accelerated, the event horizon is axisymmetric. The different points of horizon surface may have different temperature. We calculate the temperature and the entropy density at every point of the horizon at first, then we obtain the total entropy through integration, which is proportional to the aera of event horizon as the same as the stationary black holes. It is shown that the black hole entropy may be regarded as the entropy of quantum fields just on the surface of event horizon.

Abstract:
We studied the self-diffusion of colloidal ellipsoids in a monolayer near a flat wall by video microscopy. The image processing algorithm can track the positions and orientations of ellipsoids with sub-pixel resolution. The translational and rotational diffusions were measured in both the lab frame and the body frame along the long and short axes. The long-time and short-time diffusion coefficients of translational and rotational motions were measured as functions of the particle concentration. We observed sub-diffusive behavior in the intermediate time regime due to the caging of neighboring particles. Both the beginning and the ending times of the intermediate regime exhibit power-law dependence on concentration. The long-time and short-time diffusion anisotropies change non-monotonically with concentration and reach minima in the semi-dilute regime because the motions along long axes are caged at lower concentrations than the motions along short axes. The effective diffusion coefficients change with time t as a linear function of (lnt)/t for the translational and rotational diffusions at various particle densities. This indicates that their relaxation functions decay according to 1/t which provides new challenges in theory. The effects of coupling between rotational and translational Brownian motions were demonstrated and the two time scales corresponding to anisotropic particle shape and anisotropic neighboring environment were measured.

Abstract:
New natural supersymmetry is explored in the light of dynamically reduced radiative correction. Unlike in the conventional natural supersymmetry, the range of supersymmetric mass spectrum can be far above the TeV scale instead. For the illustrating model of non-universal gaugino masses, the parameter space which satisfies the Higgs mass and other LHC constraints is shown explicitly. We propose that this example can be realized by employing the no-scale supergravity.

Abstract:
The simplest Higgs-portal scalar dark matter model, in which a real scalar singlet is added to the standard model, has been revisited, by taking into account the constraints from perturbativity, electroweak vacuum stability in the early Universe, dark matter direct detection, and Higgs invisible decay at the LHC. We show that the {\it resonant mass region} is totally excluded and the {\it high mass region} is reduced to a narrow window $1.1$ ~TeV $\leq m_{s} \leq$ $ 2.55$~ TeV, which is slightly reduced to $1.1$~TeV $\leq m_{s} \leq$ $ 2.0$~ TeV if the perturbativity is further imposed. This {\it high mass range} can be fully detected by the Xenon 1T experiment.

Abstract:
The study of the $k$-th elementary symmetric function of the Weyl-Schouten curvature tensor of a Riemannian metric, the so called $\sigma_k$ curvature, has produced many fruitful results in conformal geometry in recent years, especially when the dimension of the underlying manifold is 3 or 4. In these studies, the deforming conformal factor is considered to be a solution of a fully nonlinear elliptic PDE. Important advances have been made in recent years in the understanding of the analytic behavior of solutions of the PDE, including the adaptation of Bernstein type estimates in integral form, global and local derivative estimates, classification of entire solutions and analysis of blowing up solutoins. Most of these results require derivative bounds on the $\sigma_k$ curvature. The derivative estimates also require an a priori $L^{\infty}$ bound on the solution. This work provides local $L^{\infty}$ and Harnack estimates for solutions of the $\sigma_2$ curvature equation on 4 manifolds, under only $L^p$ bounds on the $\sigma_2$ curvature, and the natural assumption of small volume(or total $\sigma_2$ curvature).

Abstract:
This paper is devoted to a comprehensive study of the nonlinear Schr\"odinger equations with combined nonlinearities of the power-type and Hartree-type in any dimension n\ge3. With some structural conditions, a nearly whole picture of the interactions of these nonlinearities in the energy space is given. The method is based on the Morawetz estimates and perturbation principles.