Abstract:
In this paper, we mainly deal with a class
of higher-order coupled Kirch-hoff-type equations. At first, we take advantage
of Hadamard’s graph to get the equivalent form of the original equations. Then,
the inertial manifolds are proved by using spectral gap condition. The main
result we gained is that the inertial manifolds are established under the
proper assumptions of M(s) and g_{i}(u,v), i=1, 2.

Abstract:
This paper studies the propellant and levitation forces of a prototype maglev system where the propellant forces are provided by a linear motor system. For this purpose, the mathematical model and method using finite element method coupled to external circuit model is developed. The details of the propellant and levitation forces for a prototype maglev system under different operating conditions are investigated, and some directions are given for practical engineering applications.

Abstract:
We discuss techniques for accelerating the self consistent field (SCF) iteration for solving the Kohn-Sham equations. These techniques are all based on constructing approximations to the inverse of the Jacobian associated with a fixed point map satisfied by the total potential. They can be viewed as preconditioners for a fixed point iteration. We point out different requirements for constructing preconditioners for insulating and metallic systems respectively, and discuss how to construct preconditioners to keep the convergence rate of the fixed point iteration independent of the size of the atomistic system. We propose a new preconditioner that can treat insulating and metallic system in a unified way. The new preconditioner, which we call an elliptic preconditioner, is constructed by solving an elliptic partial differential equation. The elliptic preconditioner is shown to be more effective in accelerating the convergence of a fixed point iteration than the existing approaches for large inhomogeneous systems at low temperature.

Abstract:
With the popularization of wind energy, the further reduction of power generation cost became the critical problem. As to improve the efficiency of control for variable speed Wind Turbine Generation System (WTGS), the data-driven Adaptive Neuro-Fuzzy Inference System (ANFIS) was used to establish a sensorless wind speed estimator. Moreover, based on the Supervisory Control and Data Acquisition (SCADA) System, the optimum setting strategy for the maximum energy capture was proposed for the practical operation process. Finally, the simulation was executed which suggested the effectiveness of the approaches.

Currently, genome-wide association studies have been proved
to be a powerful approach to identify risk loci. However, the molecular
regulatory mechanisms of complex diseases are still not clearly understood. It
is therefore important to consider the interplay between genetic factors and
biological networks in elucidating the mechanisms of complex disease
pathogenesis. In this paper, we first conducted a genome-wide association
analysis by using the SNP genotype data and phenotype data provided by Genetic
Analysis Workshop 17, in order to filter significant SNPs associated with the diseases. Second,
we conducted a bioinformatics analysis of gene-phenotype association matrix to identify
gene modules (biclusters). Third, we performed a KEGG enrichment test of genes
involved in biclusters to find evidence to support their functional consensus.
This method can be used for better understanding complex diseases.

The purpose of this study is to calculate the ratios
of fetal limb bone to nasal bone length (NBL) obtained by transabdominal ultrasound
between 19 and 28 weeks of gestation. Cross-sectional data were obtained from
1408 women with singleton pregnancies who underwent an advanced prenatal
ultrasound examination from August 2006 to September 2008. The single
measurement plane of fetal limb bones was on the longest section of
each structure with appropriate image magnification. To assess repeatability of
the intraobserver, two repeated measurements were obtained in 44 fetuses. The
ratio of fetuses with biparietal diameter (BPD)/NBL was compared with those of
fetal limb bones/NBL. The mean ratio was found between fetal NBL measurements
and BPD (7.240), humerus length (HL) (4.807), radius length (RL) (4.157), ulna
length (UL) (4.502), femur length (FL) (5.131), tibia length (TL) (4.528), and
fibula length (FiL) (4.507). The reference ranges of fetal long bone length/NBL
ratios for the second trimester was established by transabdominal sonography.
There were no significant increases in these ratios with gestational age,
especially the HL/NBL ratio.

Currently, the most
important issue with respect to financial institutions is how to motivate staff
without providing perverse incentives. For instance, with the implementation of
a proper incentive system, staff will be motivated via their self-interest to
create financial innovations to better price and hedge risk. However, this
system must also be designed with checks and balances in mind because it is
also very easy to institute a system in which perverse incentives drive individual
behavior. In an effort to modernize the Chinese financial system, it is
important to understand both the underlying mechanism by which people respond
to incentives to better design compensation schemes that maximize innovation.
Utilizing game theory, it is possible to analyze the interplay between these
two drivers of human action. From this analysis it becomes possible to design
better ways of compensating staff to curb undesirable behavior by those in the
financial industry while still promoting innovation within the field.

Abstract:
This work presents the synthesis of a new hole-buffering material TAZS and its successful application in polymer light-emitting diodes to enhance device performance. The TAZS is composed of aromatic 1,2,4-triazolylcore linked with three trihydroxy tert-butyl terminals via azomethine linkages. The TAZS forms ashomogeneous film deposited by spin-coating process. The HOMO and LUMO levels of TAZS are -5.23 eV and -2.40 eV, respectively, as estimated from cyclic voltammogram. The current density results of hole-only and electron-only devices confirm strong hole-buffering capability of TAZS layer. Multilayer PLEDs with different thickness of TAZS (ITO/PEDOT: PSS/TAZS (x nm)/SY/ETL/LiF/Al) have been successfully fabricated, using spin-coating process to deposit hole-injecting PEDOT: PSS, TAZS, and emissive SY layers. The PLED with 16 nm TAZS reveals the optimal device performance, with maximum luminance and maximum current efficiency of 19,046 cd/m^{2} and 4.08 cd/A, respectively, surpassing those without TAZS as HBL (8484 cd/m^{2}, 2.13 cd/A). The hole-buffering characteristic of TAZS contributes greatly to improved charges’ recombination ratio and enhanced emission efficiency.

Abstract:
With the rapid development of big data, the scale of realistic networks is increasing continually. In order to reduce the network scale, some coarse-graining methods are proposed to transform large-scale networks into mesoscale networks. In this paper, a new coarse-graining method based on hierarchical clustering (HCCG) on complex networks is proposed. The network nodes are grouped by using the hierarchical clustering method, then updating the weights of edges between clusters extract the coarse-grained networks. A large number of simulation experiments on several typical complex networks show that the HCCG method can effectively reduce the network scale, meanwhile maintaining the synchronizability of the original network well. Furthermore, this method is more suitable for these networks with obvious clustering structure, and we can choose freely the size of the coarse-grained networks in the proposed method.

Abstract:
We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature. 1. Introduction This paper is concerned with the study of positive boundary blow-up solutions to a quasilinear elliptic system of competitive type: where is a bounded domain of and stands for the -Laplacian operator defined by The exponents verify There exists such that where We must emphasize that the weight functions are allowed decaying to zero on with arbitrary rate, depending upon the particular point of . The boundary condition is to be understood as . Problems like (1.1) are usually known in the literature as boundary blow-up problems, and their solutions are also named large solutions or boundary blow-up solutions. The problem of the previous form is mathematical models occuring in studies of the -Laplace system, generalized reaction-diffusion theory, non-Newtonian fluid theory [1, 2], non-Newtonian filtration [3], and the turbulent flow of a gas in porous medium. In the non-Newtonian fluid theory, the quantity is a characteristic of the medium. Media with are called dilatant fluids and those with are called pseudoplastics. If , they are Newtonian fluids. When , the problem becomes more complicated since certain nice properties inherent to the case seem to be lost or at least difficult to verify. The main differences between and can be founded in [4, 5]. When , system (1.1) becomes for which the existence, uniqueness, and asymptotic behavior of large solutions have been investigated extensively. We list here, for example, [6–12]. This is a huge amount of literature dealing with single equation with infinite boundary conditions (see, e.g., [13–34]). This problem with more general nonlinearies and weight-function has been discussed by many authors recently [35–39]. Problem (1.1) is considered in special case. When , in [40], problem (1.1) was analyzed with . In the same paper, some existence, uniqueness, and boundary behavior of solutions were obtained under the assumptions as for some positive constants and real numbers . This problem was later studied in [41] with general form, where for , are positive constants. The author also obtained uniqueness results. In [42], Yang extended the quasilinear elliptic system to where , and is a smooth bounded domain, subject to three different types of Dirichlet boundary conditions: or or on , where . Under several