The authors developed a procedure for estimator of ratios of means to standard deviations from normal populations under semiorder restriction using  Bayes method, and  considered the testing for the equality of proportions: H₀: μ₁=…=μ_k v.s. H₁: μ₁≤…≤μ_k, μ₁<μ_k. Finally, simulation results were given by Gibbs sampling and MetropolisHastings method.

Firstly,  on the basis of the condition of inequality group constraint to which correspond  longitudinal decomposition subproblems having solutions, via proving that corresponding reach vector is zero, we further proved that the optimal solutions of longitudinal subproblems comprise the large scale problem’s optimal solutions； then proposed the “order decoupling algorithm”  under particular conditions, which is used to solve the large scale goal programming model with trapezoidal structure； and finally  illustrated the iteration process and effectiveness of algorithm with examples.

The author studied the polar factorization and generalized inverse of row (column) skew symmetric matrix, which leads to some new results. In addition, the formula of the polar factorization and generalized inverse of row (column) skew symmetric matrix were given, which makes calculation easier, and some perturbation bounds of polar factorization of row (column) skew symmetric matrix were also presented.

By means of the nonorder characteristic of WBR₀-algebra, SWBR₀-algebras was set up by reduction of regularness of WBR₀-algebra. The concept of the implication ideal of SWBR₀-algebra was proposed, and the relationship between the implication ideal and the congruence relation was discussed. Moreover, a quotient algebra of SWBR₀-algebra was defined with the help of implication ideal, and the fundamental theorems of homomorphisms of SWBR₀-algebra were obtained.

The authors discussed the optimal boundary control for a semilinear age dependent population system based on weight, proved the existence of optimal boundary control via Mazur’s theorem. We obtained the necessary conditions for an optimal control, using Gteax differentiation and Lions’ theory of variational inequalities; and then obtained the optimality system consisting of integral paritial differential equation and variational inequalities. The optimality system can determine optimal control. These results may serve as theoretical reference for practical researches of the control problem in population systems. Its optimality systems determine the optimal control.

We proposed two sufficient descent conjugate gradient methods for unconstrained optimization. The sufficient descent direction is always obtained at each iteration. Under some suitable conditions, the global convergence can be induced. Numerical results show that these methods are feasible and effective.

At first, the definition and the properties of an aggregate deformation function were given. Then the homotopy equation was constructed by using aggregate deformation function, with the constructive proof of the existence, boundedness and convergence of the homotopy path given. At last, numerical examples were given to show the effectiveness and the feasibility of this method.

Using fixed point theorem in metric space, the authors studied the existence of positive and nondecreasing solution for a class of the fractional difference equations with fractional boundary conditions. With the aid of some characteristics of the Green’s function, we obtained sufficient conditions for the existence of a unique nonnegative and nondecreasing solution to this class of equations. And we discussed the existence and uniqueness of a positive and strictly increasing solution to this equations.

A class of the nonlinear disturbed Schrdinger coupled system was studied. With the help of  the functional mapping method and the technique to relate the exact and approximate solutions, the corresponding typical coupled system was considered. With the aid of  the variational iteration theory and approximate method, the shock wave asymptotic solutions of the disturbed Schrdinger coupled system were found. Unceasingly differential and integral operations of this approximate solution can  obtain approximations of dependent physical quantities.

The authors studied the existence of  periodic solutions for a class of nonautonomous second order Hamiltonian systemsSome new existence theorems for periodic solutions were obtained via the least action principle and the minimax methods as F=F₁+F₂ satisfied some boundary conditions.

We studied the existence of positive periodic solutions for a nonautonomous cooperative system with discrete time and several de
lays by means of the continuation theorem based on coincidence degree  theory. One bounded open set was obtained by virtue of  analytic technique. With the help of  the coincidence degree theory, a set of sufficient conditions for this system to have at least one positive periodic solution were obtained. The research result reveals the nonautonomous cooperative system with discrete time and several delays will produce periodic oscillation of biological nature, and the time delay is harmless.

Let DO_n be the semigroup of all orderreversing  singular transformations on a finitechain ［n］. For an arbitrary integer r(1≤r≤n-1), the rank of semigroup L_D(n,r)={α∈DOn: |Im α|≤r} was studied. We proved that L_D(n,r) is generated by elements of rank r, with rank being C^r_n. Furthermore, it is shown that the relative rank of the semigroup L_D(n,r) with respect to itself each ideal L_D(n,l) is equal to C^r_n if 1≤l<r.

The authors determined the two dimensional and three dimensional endomorphism of Leibniz algebras on complex field  using undetermined coefficients method, and then clssified the  HomLeibniz algebras of their associated non-Lie algebra.

The Newtonharmonic balance method was used to construct analytical approximate periods and periodic solutions to the relativistic harmonic oscillator. Introducing a new variable and rewriting the control equation in terms of the new variable, we applied the Newton-harmonic balance method to solving the resulted equation. The method yields rapid convergence with respect to exact solution, and the analytical approximations obtained are valid for the whole range of initial oscillation amplitudes. The approximate periods and periodic solutions are excellently agreed with the exact ones.

We developed an optimal perfectly matched layer (opt PML) technique for solving the time harmonic scattering problems by choosing a particular absorbing function. With this choice, the solution of the optimal PML problem is independent of the thickness of the PML absorbing layer for a  parameter little enough. The accuracy can be improved by choosing proper ε₀ for a given δ. Numerical experiments  illustrate the competitive behavior of the proposed optimal method.

This paper deals with the boundary value problems for a class of partial differential inclusions -Δ u∈ext G(x,u). When 
G(x,u) takes bounded, weakly compact, convex values, and is measurable about variable x, is continuous about variable u, we proved the existence of extremal solutions on the basis of Tolstonogov extremal continuous selection theorem.

An interpolation based method was proposed to automatically understand counterexamples produced by model checker. By this method the we
akest precondition of a counterexample was first derived from its failure state, and then inconsistent analysis was performed on the initial state and the weakest precondition of the counterexample. Craig interpolations which can be extracted in linear time are the causes of model failure; these causes can be mapped to corresponding events directly. Experimental results show that our method improves the efficiency of understanding counterexamples remarkably, which can reduce the burden of software debugging workers and promote reliability and quality imp
rovement of software.

In order to solve the unreasonable wait existed in delay algorithm, this paper presents a method based on resource forecast delay scheduling algorithm, by which one reasonably dispatches operation  on the basis of resource availability prediction method. The experimental results show that in the Hadoop cluster general application scenario, the scheduling algorithm, compared with related work, makes the average operating efficiency increased by a factor of 288%  in the assurance of localization computing map task to be similar. This work will greatly improve the working efficiency of Mapreduce.

Support vector machine was introduced into the analysis of  moving objects,  simple and effective combination of extracted target features was performed for the classification of moving objects. We used Gaussian mixture background model to detect moving objects, from which shape features and movement features were extracted. Support vector machine was adopted to obtain the optimal decision function via training marked sample data. The experiment shows that the analysis of moving targets via support vector machine and moving object feature combination is effective.

For Hopf bifurcation at equilibrium point in wind power system, Hopf bifurcation point was calculated based on the continuation method; the type of Hopf bifurcation was determined by the parsing algorithm in the wind power system with static var compensator; the effect of reactive power and static var compensator on voltage stability were analyzed in the wind power system. In order to eliminate Hopf bifurcation, the linear feedback control method to control Hopf bifurcation was presented. The results show that the increase of reactive power in wind power system causes Hopf bifurcation; static var compensator can compensate reactive power to delay Hopf bifurcation and improve the system voltage stability region; and the linear feedback control method effectively  eliminates Hopf bifurcation of the wind power system.

Aiming at the operating faults of geosynchronous orbit satellite due to medium’s internal charging, we put forward Monte Carlo method to simulate the process of the medium’s internal charging. The  plate model charging process of  spacecraft medium is simplified as  electron  crossing the screen of  aluminium into epoxy.  With the help of  the MCNP software, we obtained the results that different thicknesses of aluminium and different electron energies influence on the largest electric field of medium.

A typical Li⁺ substituted NiO compound, Li_0.29Ni_0.71O, was synthesized by molten nitrate method, and the effect of Li⁺ ions doped on the electrochemical performance was also studied. The materail showed a smaller electrochemical capacity compared to NiO. In addition, there was an irreversible formation of Li₂O in the first discharge\|charge cycling. The kinetic behavior of Li_0.29Ni_0.71O was investigated by EIS analysis. The unusual decrease of SEI resistance and the increase of chemical diffusion coefficient in the several initial cycles were explained in terms of the transformation from crystalline to amorphous state of the electrode material.

The resistivity and  magnetoresistance of Fe₃O₄ were  investigated at a high pressure by means of in\|situ electrical resistivity measurement with diamond anvil cell. We obtained the relationship of resistivity as a function of pressure. When p＞6 GPa or p＜6 GPa, the resistivity of Fe₃O₄ decreases with increasing pressure. Its dropdown speed at pressure p＜6 GPa is faster than that at pressure higher than 6 GPa. When  p＜6 GPa, the sample shows a normal magnetic resistance effect. When p＞6 GPa, the sample shows a negative magnetic resistance effect. This phenomenon indicates that an electronic phase related to electron spin happens at 6 GPa.

A new fault attack was  proposed on the basis of  combining the idea of fault attack with that of  guessdetermine attack, by which 99.9% of wrong guesses can be discarded successfully, and furthermore the inner state of A5/1 can be recovered in the end. The complexity of this attack is about 2⁴⁰, and the success probability of this attack is more than 99%.

Effect of Al₂O₃ doped on the high permeability MnZn ferrites was researched by means of comparing experiment data of different samples. The results show that a suitable amount of Al₂O₃ doped can inhibit ZnO evaporation so as to increase the initial permeability of MnZn ferrites, reduce the relative temperature coefficient, and increase the permeability range.

The authors synthesized three porphyrin monomers with different substituents and three porphyrin dimers with different bridgelinked rea
gents according to Alder method. The optical limiting properties of the porphyrins were studied via Z-scan and optical limiting properties, and compared with those of other porphyrin molecules under the similar experimental conditions. The Z-scan curves of all the porphyrin samples were similar to each other. The Z-scan curves of all the porphyrin samples showed the characteristics of reverse saturation absorption. Porphyrin [STHZ]4[ST] had the best optical limiting properties, and the lowest normalized transmittance of porphyrin 4] was 7%.

The reductive amination method was used for the fluorescently labelling of Ganoderma applanatum polysaccharide(GAP). FITC was linked up with the reducibility termination of GAP, and fluorescent substitute ratio was determined to be 090%. The results of the measurement by xCELLigence RTCA DP automatic realtime cell analyzer show in vitro the cytotoxic activity did not significantly change before and after fluorescent labeling of GAP. The results measured by means of flow cytometer and fluorescence microscope show fluorescence signal was detected both on the cell membrane and in the nucleus, illustrating that GAP can be attached to human colorectal cancer SWWC1116 membrane, and can be further transported to the nuclei.

The volatile oils were extracted from Prunus tomentosa Thunb’s shell and kernel by steam distillation method, and their chemical compositions were then analyzed and identified by GC/MS. The results show that 48 compounds were detected and 24 compounds of them were identified in shell, coming to 97.45% in gross; while 20 compounds of them were detected in the kernel volatile oil and 12 of them were identified, coming to 99.4% in gross. The major ingredient in the two kinds of volatile oils is benzaldehyde. While the kinds of compounds and their relative content differ greatly.

The authors investigated the degradation features of benzene by strain B6 dominant strain isolated and purified from the petroleumcontaminated groundwater in the northeast of China. Results show that when the initial mass concentration of benzene was 394.36 mg/L, the degradation rate of benzene by train B6 was 82.82% on the third day; ortho 2 cleavage of catechol was the right approach of benzene degradation under the effect of dioxygenase; B6 strain could produce tryptophanase, lipase, amylases, gelatinase, lactase, oxidase, use glucose, lactose, protein, tryptophan, fat, starch, gelatine, polypeptide, cellulose, sulfurcontaining organic compounds, cytochrome C as nutrients, and utilize nitrites and nitrates as electron acceptors in its metabolic process. It was identified that B6 strain was Rhodococcus erythropolis, grampositive bacterium.

Based on the status and characteristics of the biogas power generation, the authors used the integer programming and the interval linear programming method to develop an optimized GHG emission reduction model for the largest greenhouse gas emission reduction under uncertainty. The case analysis shows that under the requirements of the investment, the operation profits and technology, 211 821.8—247 410.1 t CO2 equivalence could be reduced every year, which is increased by 1146%—30.19% compared with recommended scheme.