Abstract:
We establish some multiple integral Hilbert-Pachpatte-type inequalities. As applications, we get some inverse forms of Pachpatte's inequalities which were established in 1998.

Abstract:
We establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fowler-type equation is proved.

Abstract:
We establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fowler-type equation is proved.

Abstract:
MSF seawater desalination has become an important technology to solve the scarce of fresh water resources in the world. But the high energy cost is the bottle-neck of extendibility and application. In this paper, the principle of MSF is analyzed and the single flash stage is divided into several elementary unit operations. The Aspen Plus is adopted to simulate MSF desalination process. The effect factor of MSF system, such as the feed seawater temperature, the top brine temperature（TBT） and the stage number, is investigated and the optimum operation condition is obtained.

Abstract:
Let $G$ be a connected graph with maximum degree $\Delta \ge 3$. We investigate the upper bound for the chromatic number $\chi_\gamma(G)$ of the power graph $G^\gamma$. It was proved that $\chi_\gamma(G) \le\Delta\frac{(\Delta-1)^{\gamma}-1}{\Delta-2}+1=:M+1$ with equality if and only $G$ is a Moore graph. If $G$ is not a Moore graph, and $G$ holds one of the following conditions: (1) $G$ is non-regular, (2) the girth $g(G) \le 2\gamma-1$, (3) $g(G) \ge 2\gamma+2$, and the connectivity $\kappa(G) \ge 3$ if $\gamma \ge 3$, $\kappa(G) \ge 4$ but $g(G) >6$ if $\gamma =2$, (4) $\Delta$ is sufficiently large than a given number only depending on $\gamma$, then $\chi_\gamma(G) \le M-1$. By means of the spectral radius $\lambda_1(G)$ of the adjacency matrix of $G$, it was shown that $\chi_2(G) \le \lambda_1(G)^2+1$, with equality holds if and only if $G$ is a star or a Moore graph with diameter 2 and girth 5, and $\chi_\gamma(G) < \lambda_1(G)^\gamma+1$ if $\gamma \ge 3$.

Abstract:
Correlation for estimation of the aqueous solubility (logSw) of chlorinatedhydrocarbons molecules is proposed. The MCI based quantitative structure-propertyrelationship (QSPR) model proposed is predictive and requires only three connectivityindices in the calculation. The correlation equation obtained which is based on a training setof 50 chlorinated hydrocarbons has a correlation coefficient of 0.9670 and a standard errorof 0.44 log10 units. Application of the developed model to a testing set of 73 chlorinatedhydrocarbons demonstrates that the new model is reliable with good predictive accuracy andsimple formulation. Besides, the model does not require any experimental physicochemicalproperties in the calculation, so it is easy to apply, especially in cases where it isinconvenient or impossible to measure the physicochemical properties.

Abstract:
The traditional source estimates scheme can not being easily scalable to a large number of sensors, this paper proposed a new DJSCC scheme with iterative decoding for a two-tiered WSN. It had the low complexity and the high extendibility. This scheme used two sink nodes per cluster providing a distributed space-time block codingDSTBC. The proposed scheme was easily expandable to a large number of sensors, appropriated for applications with indirect source observation. It was applicable to time-varying observation accuracy models. Through the analysis of BER performance upper bound, establishing a system model and implementing system simulation. Simulation results show that: athe BER performance of the system with the proposed algorithm shows 1 to 4 dB improvement compared to the basic decoding scheme, bthe proposed use of secondary sink node at each cluster employing DSTBC not only increases the reliability of the system in case of failure in one of sink nodes, but also improves the BER performance of the whole system by about 2 to 3 dB.

Abstract:
Current studies on construction security seldom considered relationships and mutual influences between time, cost and other objectives and security. This paper analyzed relationships between duration, cost of completion, guarantee safety cost and safety level of each activity, and deduced safety level index of construction project by the combination of security and system reliability. Then it established a time-cost-safety level equilibrium optimization model through integrating the objective of safety level into time-cost trade-off model. At last, it achieved the Pareto solution of the model using PSO algorithm based on a real example, and demonstrate the effectiveness, rationality and practicality of the model in safety management of construction projects.