A ring R is called LJA ring if f(x)g(x)=0 implies a_ib_j∈J(R) for all f(x)=a₀+a₁x, g(x)=b₀+b₁x in R［x］ and i,j=0,1, where J(R) is the Jacobson radical of R. Considering  the properties of LJA rings and the relationship between such rings and other related rings, the author gives simple examples of an infinite direct product of 2primal rings not to be a 2primal ring, and proves that Koethe’s conjecture has a positive solution if and only if a polynomial ring over any NI ring is an LJA ring.

Applying methods and techniques of weight function, the author studied the multiple Hilberttype integral inequality with homogeneous  kernel and some functions in the general theory, and discussed its the best constant. The author obtained some new results with universal significance.

The author considered the polar factorization, generalized inverse and perturbation bound of row (column) symmetric matrix, and gave the calculation formula of the polar factorization and generalized inverse of row (column) symmetric matrix. Some perturbation bounds of the polar factorization of row (column) symmetric matrix were presented. The results show that the algorithm is simple and fast, and it doesn’t reduce the numerical accuracy.

By introducing the concept of a left semicommutative nucleus  on a Quantale, we gave a characterization of the largest left semi-commutative quotient of a Quantale by means of its left presymmetric elements, proved that the category of left semicommutative Quantales are reflective subcategory of the category of Quantales, and discussed the relationships between localic nuclei and left semicommutative nuclei.

New characterization by information algebras induced by information systems without need for additional conditions, the author gets an information system which can induce an information algebra, and an information algebra is continuous or compact if the information system is continuous or compact.

Using the theory of braided structures in Hopf algebras, we introduced the concept of group cotwisted tensor biproducts and discussed their coquasitriangular structures, and established the sufficient and necessary conditions for group cotwisted tensor biproducts to be coquasitriangular Hopf group algebras. Thus we constructed a class of coquasitriangular Hopf group algebras.

Using Mawhin’s coincidence degree theorem, we studied the existence of periodic solutions for a class of fourorder p-Laplacian neutral functional differential equation with deviating argument, and the sufficient condition for existence of at least one Tperiodic solution for the equation was given.

Using Legendre singularity theory, we studied the local bifurcations of completely integrable holonomic systems of 2variable firstorder nonlinearity partial differential equations whose corresponding oneparameter integral diagrams are R⁺simple and stable so as to obtain the classification of local bifurcations. Based on the result, the qualitative state of this system can be estimated when the parameters are changed.

Using the stable manifold theorem, we studied the local stability of two periodic positive solutions of second order rational nonlinear difference equationx_n+1=(a-bx_n)/(A+x_n-1),n=0,1,2,…where A,b>0,a≥0 were real numbers, and initial conditions x_-1 and x₀ were arbitrary positive real numbers. The results show that the positive equilibrium point of the second order nonlinear difference equation is stable, and the minimum two periodic positive solution is unstable.

We studied the Cauchy problem of damped Klein-Gordon equations  using the energy method and the concavity method. The global existence of solutions was obtained by constructing a stable set and proving its invariance. The results  show that the solutions of damped Klein-Gordon equations with high initial energy may also exist globally under certain conditions.

Using the characterizations of KuratowskiPainlevé setconvergence and level set, we studied the stability and generalized wellposedness of efficient solutions and weakly efficient solutions for quasiconvex vector optimization problem which the objective mapping was cone quasiconvex mapping by means of cone theory and methods, and obtained some results about stability and generalized wellposedness of efficient solutions and weakly efficient solutions for strongly continuous cone quasiconvex mapping sequence and its limit mapping.

Using boric acid melting method, we investigated the synthesis conditions of enantioenriched openframework copper borophosphate compound LiCu₂［BP₂O₈(OH)₂］, and synthesized the chiral compound with Na and K sources. Experimental results show that water and Li⁺ are essential for the formation of the chiral compound. Excessive water prohibits Li⁺ from participating in the crystallization, and a small amount of water will promote the formation of big single crystals of the aim product; Na⁺ can not replace Li+ to synthesize the chiral compound, and K⁺ only can replace part of Li⁺ to synthesize the compound. Symmetry breaking in the bulk samples still happens.

The author studied two types of minimax problems whose optimal solutions were given respectively in theory. Meanwhile, applications of the two types of minimax problems in Richardson iteration and HSS iteration method of linear systems were given.

We proposed a new homotopy interior point method for solving fixed point problems with both equality and inequality constraints. Under appropriate conditions, we obtained the global convergence results of the homotopy interior point method.

By using Bayesian method to analyze a class of (a,b) distribution, we studied the relationship between variance and expectation, and gave the moments estimation and maximum likelihood estimation (MLE) of a and b. Base on the MLE , we gave the Bayesian estimation of the classes distribution (a,b,0) by using Lindley approximation lemma, and used MATLAB to carry on the related simulation. Simulation results show that the choice of the Bayesian estimation is better if the sample size of (a,b,0) distribution estimation is large; conversely, the moment estimation is better.

We considered a sequential k-out-of-n model with covariates,  assumed that the lifetime distribution of given covariates belonged to exponential distribution family, and set up a loglinear model for the scale parameter of the exponential distribution. We studied two hypothesis testing problems of model parameters under order restriction, and discussed asymptotic distributions of the test statistic under order restrictions, which were χ² distributions.

Let {X_n, n≥1} be a sequence of dependent random variables which satisfied Rosenthal type inequality. We established some new complete convergence theorems for weighted sums of a class of random variables with different distributions, and obtained the strong laws of large numbers for weighted sums of dependent random variables. Our results extend the corresponding results from the independent identically distributed case to the universal dependent random variables.

Using the method of Stieltjes transform, we gave the explicit expressions of the limiting spectral density functions of the general high dimensional sample covariance matrices, which included: the sample covariance matrix whose elements were independent with zero mean and constant variance; the sum of a sample covariance matrix and a unit matrix; the sample covariance matrix which satisfied that the variance of the elements were different but only had two values; the sum of two different sample covariance matrices.

Based on a Gaussian pseudolikelihood method, we proposed a methd to estimate the consistency of the positive definite correlation matrix of generalized estimating equations. We proved that the Gaussian pseudolikelihood estimators of AR(1), exchangeable and MA(1) working correlation matrices
 were positive definite, even if the correlation matrix was misspecified. Simulation result shows that the regression parameter estimator of the generalized estimating equations based on the positive definite correlation matrix estimator is efficient.

Using the theory of generalized polynomial identities, the author investigated the rings satisfying some differential identities. Let R be
a prime ring with the characteristic different from 2, L a noncentral Lie ideal of R and d a derivation of R, then d=0 if u^l(d(v)°v)^mwⁿ=0 for all u,v,w∈L, where l,m,n are fixed positive integers.

Using classical variation method, we studied stochastic optimal control problem for stochastic differential equations driven by fractional Brownian motion with jumps and got stochastic maximum principle for the optimal control problem. The corresponding adjoint equations are shown to satisfy backward stochastic differential equation driven by fractional Brownian motion with jumps.

According to the characteristics of spatial data and their relationships, we proposed a load balanced spatial vector data layout target, and combined with the specific environment, using the algorithm of spatial data layout based on graph coloring theory and data security mechanism of multiple replica. Spatial data deployed in parallel environment, and improved the execution efficiency and data security of task on the data nodes. Experimental results show that the layout method can achieve balanced layout of data, take into account the efficiency and security of the parallel computing, and adapt to more query applications.

We gave a general feature set of spatial relations based on qualitative spatial reasoning of spatial relations, and combining with network crawling, text mining, spatial database and machine learning methods, we proposed a general recognizing framework to recognize most of the spatial relations in Chinese text, and solved the problem of spatial relation recognition in Chinese text of big data. Compared with traditional spatial relation models, the proposed method is suitable for dealing with spatial information in Chinese text of big data, and obtains a higher recognition rate.

Aiming at the problem of non ambiguity mapping between computer languages, we proposed an ambiguity resolution algorithm for mapping from natural language to SPARQL language. The algorithm was based on the characteristics of natural language, fitting quantity of facts and the text similarity to resolve ambiguity in the process of entity mapping, fitting the text similarity and the semanticsweight of relation to resolve the ambiguity in the process of relation mapping. Experimental results show that the algorithm is effective.

In view of the satellite cloud drift winds inversion has the characteristics of large scale, intensive computing and timeconsuming, conventional cloud drift winds serial inversion algorithm is very difficult to break through the bottleneck of efficiency. According to the characteristics of relatively independence between each wind vector calculation, we put forward a parallel inversion algorithm based on the OpenMP framework. Through the analysis of the inversion results of the multi group cloud data in the multi core CPU, the results show that the proposed algorithm can significantly improve the inversion efficiency of cloud.

Based on a MonteCarlo (MC) estimation algorithm of multi state network reliability, the author considered an M-C estimation algorithm based on fusion of hierarchical sampling and dynamic sampling. The hierarchical sampling was realized by setting the probability threshold α to change hierarchical principle based on the hierarchical sampling method of state tree search. Using dynamic sampling, the capacity value of each side of the network was dynamically generated when the network was invalid, so that the invalid network state could be generated without the sampling of all edges, and the simulation time was shortened. Simulation results show that the dynamic sampling can shorten the simulation time, but the advantage will gradually disappear with the increase of the network reliability, and it is more suitable for the multi state network with low reliability.

In view of shortage of timeconsuming of connection and pruning step for Eclat algorithm, a method is proposed to divide the data set into equivalence classes with segmented storage according to the connectivity between itemsets. Using the end item pruning strategy, the connection and pruning step will be completed in constant time. In view of shortage of computation of the intersection operation of long sets for Eclat algorithm, a method is proposed to store the transaction sets of itemsets segment by multidimensional array, convert the computation of intersection operation of long sets into short sets in segment, and the concept of the expected support is proposed. It can be forecasted in the process of calculating intersection, so the times of comparing will be reduced. The experimental results show that the algorithm is superior to Eclat algorithm in time performance, and it is suitable for mining long patterns sparse data sets especially.

Aiming at the problem of the personality prediction of social network users, we proposed a method that combined information gain and semantic features to refine user’s text information, and adopted a method of multilabel classification algorithm for comprehensive prediction. Firstly, lexical features in text were extracted based on information gain, including sentiment word, part of speech and tense etc, and feature selection and weighting were carried out. For semantic features, text content was mapped to ontology concepts and then semantic relevance was calculated. Secondly, based on the combined influence of lexical features and semantic features, a multilabel classification algorithm was used to execute personality prediction process. Text information was
 handled from different perspectives and label relevance was taken into full consideration. Experimental results verify the effectiveness of the proposed method.

We introduced the idea of network connection structure and position matching into the design of the routing protocol of the pocket switched networks (PSN), and solved the routing problem of message packets from two aspects: global search and local search. Firstly, from exploring the global  network connection structure of information transmission effect, we knew the most effective communication node in complex networks should be the most core node located in the network connection structure, instead of nodes with high global society degree. Secondly, we discussed the rationality and feasibility of local search based on position matching degree. Finally, we proposed a routing protocol based on social structure degree and node active network, namely  Kcore. Message is forwarded in the global community initially, and message is forwarded to the node in the center of the network until node to be forwarded the message is located near the destination node of the message. Then the message is forwarded according to the position matching degree of the nodes in the vicinity. Compared with classical protocols, the proposed method can achieve a higher delivery success rate and less cost on the basis of guaranteeing almost the same message delay.

Aiming at the dense of sensor nodes, the overlapping area of the node coverage was large, resulting in the problem of large data redundancy. Using temporal and spatial correlation of nodes collect data, we proposed a data fusion algorithm based on compressive sensing theory for wireless sensor network (WSN), and analyzed its performance via simulation experiment. The experimental results show that the proposed algorithm can not only reduce the data transmission amount of the cluster head and reduce the average energy consumption of node to prolong the survival time of the network, but also the performance is obviously better than the contrast algorithm.

Aiming at the probem that the ontology model required so much expertise that it is difficult to realize the application of largescale and across autonomous domain, which restricted the development of strategy network system, we put forward an ontology fusion algorithm applied to strategy network system. Based on the meta ontology, the algorithm can integrate ontology model of different autonomous domains, which can provide support for a larger scale network, and improve the extensibility and flexibility of strategy network system.

By using the method of combined judgment of motion vector of the single view and the disparity vector of the stereoscopic video, we proposed abrupt change detection algorithm for stereoscopic video scene. Firstly, the algorithm extracted directly the motion vectors and the disparity vectors from multiview video coding encoder. Then the average amplitude values of the disparity vectors and the motion vectors of each frame were calculated respectively. Finally, the average amplitude values of the disparity vectors and the motion vectors of each frame were compared with their corresponding threshold values, which could detect the abrupt change of the stereoscopic video scene. The proposed algorithm directly determines the abrupt change of stereoscopic video scene in the compressed domain, therefore, it can not only guarantee detection accuracy, but also reduce computational complexity. The simulation results show that the algorithm is effective.

In order to improve the image enhancement effect and image quality, we proposed an image enhancement algorithm based on wavelet analysis and Retinex algorithm (WARetinex). Firstly, wavelet analysis was used to decompose the image and remove the noise of the image. Secondly, Retinex algorithm
 was used to enhance the details of the image information and the gray scale of the image was widened by using fitting function which was more consistent with the visual characteristics of the human eyes. Finally, the validity and superiority of the algorithm were analyzed by simulation experiments. Experimental results show that the overall visual effect of proposed algorithm has been significantly improved, which can better describe the details of the image information, and the performance is better than some of the existing classic Retinex algorithm.

In view of the characteristics of data intensive operations, we proposed an evaluation model based on CPU and graphics processing unit (GPU) as two influencing factors to calculate the energy consumption of the nodes. The model based on the selection of the original virtual machine (VM) energy saving algorithm in the virtual machine selection of energyefficiency advantages, it further used heuristic idea to improve the bee colony optimization algorithm, and sought the best optimal solution of VM integration. The experimental results in the CloudSim 3.0 cloud computing simulator show that the heuristic backward bee colony algorithm can effectively reduce the number of VM migration on the premise of guaranteeing the quality of service, and then reduce the energy consumption of data center (25%—30%).

Aiming at the problem that thruster fix error had strong interference on the satellite attitude, we designed a compact satellite propulsion system for attitude control algorithm. By modeling the control moment and disturbance moment, we analyzed the impact on the attitude control and got the thruster fix error angle combination in the worst case. We compared the control results of the three axis under different fix error angle through the computer simulation experiment. Experimental results show that attitude control algorithm has the capability of enveloping the worst case in orbit maneuver mode, and the control results are stable and meeting the accuracy demand.

In order to improve the accuracy of the fan fault diagnosis, the author presented a new method of fan fault diagnosis which was the combination of evidence theory and support vector machine. Firstly, WignerVille spectrum entropy was extracted from the vibration signal as characteristic of fan fault diagnosis. Secondly, subclassifier of fan fault diagnosis was established by using different kernel function support vector machines. Finally, the output results of subclassifier were fused by DS evidence theory, and the performance was simulated and tested. The experimental results show that the proposed method can make full use of all fault information, and the diagnostic results are closer to the expected value, and the diagnosis effect is better than that of other fan fault diagnosis methods.

Using density functional B3LYP and timedependent density functional theory (TDDFT), the author obtained the ground states dipole moment and total energy of αalanine molecule under different external electric fields (-0.015—0.005) at the 631+G(d,p) basis set level, and studied the influence of excitation energies Δ E and oscillator strengths f under the same external electric fields. The results show that the dipole moment of molecule first decreases and then increases sharply with the increase of electric field strength. The total energy of the molecule is -323.773 9 when there is no electric field. The total molecular energy increases with the increase of the electric field intensity, the total energy of the molecule reaches the maximum -323.771 5 as F=0.005. The excitation energies Δ E decreases with the increase of the electric field intensity, indicating that the αalanine molecule is easy to form excited state under the action of electric field.

Using Fe(NO₃)₃·9H₂O as Fe source and different amino acid as surfactant, α-Fe₂O₃ samples were prepared by hydrothermal method. We used scanning electron microscopy (SEM), transmission electron microscopy (TEM), high resolution transmission electron microscopy (HRTEM) and Xray diffraction (XRD) to characterize the morphology of the samples, and test their gas sensing properties. The results show that the morphologies of α-Fe₂O₃ samples obtained from different surfactant are different, including solid particles and hollow microspheres (composed of particles). And the gas sensor based on hollow microsphere has good sensitive characteristic to ethanol.

We used CdSe/ZnS semiconductor nanometerials as lightemitting layers, ZnO as electrontransport layer (ETL), Al and ITO as bipolar  materials. The semiconductor lightemitting diodes (LED) were prepared by spin coating and vacuum evaporation coating technology. We characterized its optical properties. The experimental results show that the device emits yellow light, the peak position is 575 nm, the full width half maximum is 30 nm, the maximum luminous intensity is 2 000 cd/m^2, the luminescence efficiency of device has no obvious decay under higher current density, and semiconductor materials CdSe/ZnS and ZnO are desired materials as lightemitting layer and electron transport layer of LED with high current density and stable emitting.

Using B3LYP methods of density functional theory and the MP2 methods of perturbation theory, we studied conformational transition mechanism of threonine molecules and catalytic action of water molecules and hydroxyl radicals in the hydrogen transfer reaction. The results show that there are four channels in the conformational transition reaction of S-Thr to R-alloThr. There is one channel in the conformational transitions of R-allo-Thr to R-Thr and S-Thrto S-alloThr. The highest energy barriers  for the conformational transition of S-Thr to R-alloThr, R-alloThr to R-Thr and  S-Thr to S-allo Thr are 250.2,335.0,359.6 kJ/mol. Besides, the chain composed of two water molecules and the chain composed of hydroxyl radical and water molecules
have a better catalytic effect in proton migration reaction, and the highenergy barriers are reduced to 128.3,108.6 kJ/mol for the conformational transition of S-Thr to R-alloThr respectively.

According to the mechanism of disease of diabetic complication, we selected 50 kinds of medicinal and edible plants, and screened containing effective natural ingredients  of aldose reductase inhibitors (ARI). By measuring the IC₅₀ value as a reference, we compared the samples known to inhibit the activity of ARI efficiency in plants. [JP+1]The results show that the ARI activity of lemon, balsam pear, plum and pomegranate are strong. Their IC_50 values are 0.74,0.64,0.25,0.027 mg/mL.

Based on the total control of water resources development, control of water resources utilization efficiency and control of total pollutant discharge in water functional zones, we constructed the index system of performance evaluation about the surface water major pollutants’ sourcecontrolling and emission reduction in Siping City from 3 aspects of the performance of current situation of water use efficiency, the performance of sourcecontrolling and emission reduction technology and the performance of pollutant control. Using entropy weight fuzzy comprehensive evaluation method, with 2007 as the base year, we evaluated the performance of sourcecontrolling and emission reduction in Siping City from 2008 to 2012. The results show that the evaluation method is feasible.

In view of the water environment pollution caused by the use of the antibiotics in livestock and poultry breeding, we studied the removal effects and influencing factors of natural mineral materials (volcanic cinder) and resources transformation materials (bone black and fungus chaff) to the adsorption of four kinds of sulfa antibiotics: sulfathiazole(ST), sulfamethyldiazine (SM), sulfamethazine (SM2) and sulfamethoxazole (SMX). The results show that the
 adsorption effect of three kinds of materials is in the order of fungus chaff>volcanic cinder>bone black. When the mass concentration of four kinds of antibiot
ics is 5 mg/L in the water, the adsorption rate of fungus chaff is more than 80%, and the adsorption capacity is 1.60 mg/g. The adsorption rates of volcanic cinder and bone black which modified by the mass fraction of 10% Al₂(SO₄)₃ are more than 60%, and the adsorption capacity is more than 0.24 mg/g. The best adsorption pH value is 4—6, Fe³⁺,Mn²⁺,NH₄⁺,Cl^-,solidity and alkalinity have a great influence on the adsorption of sulfa antibiotics by fungus chaff.