The authors studied the global existence and blow\|up properties of positive solutions of an evolution p-Laplace system
 with nonlinear inner sources and nonlinear boundary conditions. The authors first proved a local existence result by the regularization method, then  proved a weak comparison principle and finally,  obtained some necessary and sufficient conditions for the global existence of all positive weak solutions by constructing upper and lower solutions. The result shows that under the proper assumptions on initial value, the necessary and sufficient conditions for the global existence of all positive weak solutions only related to the exponents of the system(p₁,p₂,m₁₁,m₁₂,m₂₁,m₂₂,q₁,q₂).

Consider the scattering problem of grating numerical computer which was solved by an integral equation method. The uniqueness, existence and error estimate of the solution were analyzed. Numerical results show the advantage of the in
tegral equation method.

Let （X,||·||） be a real separable Banach space with the dual X^*, and (Ω,F ,P) an complete probability space, further, An,n≥1} a increase sub σ-fields filtration of [WTHT]F[WT] , as well as A_∞=∨_n≥1A_n, the properties of setvalued Pramart, and setvalued measures induced by setvalued Pramart are discussed.

The authors discussed the ChengYau’s selfadjoint operator □ in a locally symmetric Riemannian manifold, and applied this operator to investigating some compact hypersurfaces,  obtaining a integral inequality and some rigidity theorems.

Suppose ||x||_λ=(x^λ₁+x^λ₂+…+x^λ_n)^1/λ(x∈Rⁿ₊), ω(x)≥0 is a measurable function, Hardy’s type singular integral operator T_r with parameter r from L^p(Rⁿ₊,ω(x)) to L^p(R^m_+⁾ is defined as the (p,p) type norm of operator T_r is obtained by estimating the weight function.

The authors gave some general propositions of L(d,1,1)labeling. An upper bound of λ_d,1,1(G) was given for any graph with maximum degree Δ by an algorithm which is λ_d,1,1(G)≤Δ³-Δ²+dΔ. For any tree of maximum degree Δ, we have d+Δ-1≤λd,1,1(T)≤d+2Δ-2, moreover, the lower and upper bounds are both attainable. The values of L(d,1,1)labeling number for quasi regular tree T_Δ and any regular caterpillar Cat_nwere also given, for d≥2.

We used the LeraySchauder fixed point theorem to prove the existence of the classical solutions of the initial boundary
 value problem of one dimensional CahnHilliard equation with concentration dependent mobility and gradient dependent potential, and showed the uniqueness of the solutions by  means of Holmgren’s approach. In the case of one dimension, we generalized our previous work on the corresponding problem of the Cahn-Hilliard equation with constant mobility and gradient dependent potential.

By way of the Petryshyn inequality lemma and Wmapping technique, the author proves that an explicit iterative algorithm with infinitely many k-strictly pseudocontractive mappings converges strongly to a common fixed point of the mappings. In the setting of Hilbert spaces, the strong convergence theorem extends some recent result from explicit iteration of nonexpansive selfmappings into explicit iteration of k-strictly pseudocontractive nonselfmappings with errors.

The authors presented and analyzed splitstep backward Milstein methods for solving It stochastic differential equations (SDEs). Two methods, a DSSBM method and an MSSBM method, were constructed based on the splitting technique. We proved that these methods are of strong order 1. The stability properties and numerical results show the effectiveness of these methods in the pathwise approximation of stiff SDEs.

With introducing Hermite interpolating condition, the authors presented a novel notion of Hermite interpolating refinable function vector. In terms of its mask, several properties with respect to Hermite interpolating refinable function vector were investigated.

We studied adjacent vertexdistinguishingequitable total coloring (AVDETC) of some double graphs, and developed the adjacent vertexdistinguishingequitable total chromatic numbers of double graphs of even order complete graph, even order cycle, path, star and wheel  using constructive method and matching method, which satisfies the conjecture on AVDETCC.

An SIRS epidemic model with generalized Logistic death rate and standard incidence was formulated. By use of the discrete dynamical system determined by the stroboscopic map, an “infectionfree” periodic solution of the model under impulsive vaccination was obtained. Based on Floquet theory and the comparison theorem of impulsive differential equation, the analysis of global asymptotic stability of the “infectionfree” periodic solution was given. And the sufficient condition for the permanence of the system was obtained. The results show that in order to prevent the epidemic disease from generating an endemic, an appropriate vaccination rate and an appropriate vaccination period can be chosen.

The authors considered the nonexistence of polynomial first integrals for quadratic planar vector fields, which can be treated as negative semihomogeneous systems. Using the Kowalevskaya exponents, we gave some simple criteria for the nonexistence of nontrivial polynomial first integrals for planar vector fields.

The notion of  strongly nonwandering set is introduced into a compact system, by means of which a necessary condition is given for a system to be distributively chaotic and a LiYorke chaotic subshift without distributively chaotic pairs is constructed, which shows that subshift distributional chaos is not equivalent to LiYorke chaos.

A simple method to construct the quasinormal cone is given in connection with  the nonconvex feasible domain in which the constraint functions are quadratic functions. It has been proven that selected mapping is positive linear independence with regard to constraint gradient, and selected quasinormal cone satisfies the quasinormal cone condition. Therefore, we can solve such non\|convex optimization problems with the help of combined homotopy equation.

The authors proposed a filling hole algorithm in triangle mesh. First a set of new triangles on the holes was obtained by triangul
ating the hole directly via the principle of the smallest angle. Then an initial patching mesh was got through increasing points for the subdivision the set of new triangles with the help of the optimization principle of the circle and the largest angle according to the density of vertex on boundary edges. Final patching mesh was got through using λ-μ method to optimize the initial patching mesh. Experimental results show that the algorithm has many advantages, such as high efficiency, accuracy and so on.

The inverse eigenvalue problem of constructing symmetric and skew antisymmetric matrices M,C and K of size n for the quadratic pencil Q(λ)=λ²M+λC+K so that Q(λ) has a prescribed subset of eigenvalues and eigenvectors was considered by  means of singular value decomposition of matrix and Kronecker product of matrices.  The problem was firstly improved to be solvable and the general expression of the solution to the problem was provided. The optimal approximation problem a
ssociated with S_MCK was posed, that is, to find the nearest triple matrix  from S_MCK. The existence and uniqueness of the optimal approximation problem was discussed and the exoression was provided for the optimal approximation problem.

Based on the concept of diagonally dominant matrices, several new sufficient conditions to determine nonsingular Hmat
rices are given and thus the corresponding results are improved and generalized in this paper. A numerical example is given to show the advantages of our results.

Let {X_n,n≥1} be a sequence of strong mixing identically distributed positive random variable, under some suitable conditions, by means of the central limit theorem and the law of large numbers of strong mixing sequence, it is proved that  and N is a standrad normal random variable.

We investigated the admissibility of linear estimators in a linear model under matrix loss function. Based on the thoery of matrix, some new necessary and sufficient conditions for a linear estimator to be admissible in the class of linear estimators were obtained. The new conditions are demonstrated to be much easier to verify and to apply via an example.

For improving the security of Rijndael algorithm in the process of key generation, a character called non-deduction was summarized. With this character, the Rijndael key schedule was improved. We made use of continuous two round keys to generate the next round keys, which made the Rijndael key schedule also possess the character nondeduction. Therefore the security of the original key generation algorithm was enhanced.

The authors proposed a method for constructing neural network ensemble based on affinity propagation and genetic algorithm, which can be  applied to handwritten digit recognition. Firstly, we extracted features of samples from the MNIST handwritten digit database by PCA (Principle Component Analysis) and Fisher LDA (Linear Discriminant Analysis) respectively. Secondly, we adopted the bagging method to train some BP neural networks as candidate networks using the extracted PCA and LDA feature sets. Thirdly, affinity propagation algorithm was used to group candidate networks and find exemplars in each cluster. Finally, we optimized these weights for exemplars using genetic algorithm and integrate exemplars with the optimized weights to obtain the final classifier. Experimental results on the MNIST handwritten digit database prove that the accuracy of the algorithm proposed in this paper is far higher than that of individual network while its efficiency is acceptable.

On the basis of the analysis of product configuration in mass customization, a general parametric product structure model was built. Based on the model and the analysis and design of product configuration by means of UML, a product configurator was implemented, which realizes general configuration knowledge representation for a variety of products and configuration solving, it can provide the enduser with a reasonable explanation when the conflict gives rise to nonconfiguration, in addition, it can dynamically generate a new configuration page after the enduser releases or retracts the elements of generic product model, to further meet the enduser’s customization.

The shortcomings of current internet information acquisition methods were analyzed, and a new method based on simple network management protocol was proposed. LEAPS algorithm was used to tell the network status, on the basis of which the data acquisition rate was altered accordingly and criteria were used to perform information acquisition process so as to realize the simple network management protocol based information acquisition system. In the current system, data acquisition is controlled via LEAPS algorithm, which not only can decrease network load during network busy period, but also have the selfcontrol ability to adjust its operation according to network status.

Based on the sound and complete subset CL4 of computability logic, knowledge representation is discussed by dividing knowledge into elementary and general ones. Based on the features and requirements of knowledgebase systems, a forward and backwardreasoning algorithm is presented. And also based on CL4, a knowledgebase system is constructed, which shows that it makes the knowledgebase system more expressive and more interactive.

The domain detection was taken as an imbalanced data learning problem. A novel undersampling method using distancebased maximal entropy in the feature space of support vector machines is proposed. By way of scanning the selected proteins from the protein domain database, the overall accuracy of our machine study system is about 80% with high sensitivity and specificity.

Though worm is randomly spread, there exists implicit causality between adjacent infected nodes. Based on the analysis of causality, we presented an improved online tracing algorithmBayesian network correlation algorithm to acquire worm propagation path, and analyzed and verified its accuracy and performance through simulation experiments. Experiment result indicates that the detection accuracy of Bayesian network correlation algorithm has been increased by a factor of 10% compared to that of our previous work, this improved algorithm is more suitable for online detection.

A fast face capturing and tracking method in motion image is proposed, first the face area is located according to the template matching filtering, next the SVM serves as a classifier for final confirmation, then a CamShift tracking method based on MeanShift is used to keep the tracking, and parameter identifying and state estimating are carried out through Kalman filter while occlusions take place. The method has been demonstrated to be real time, efficient and robust by experiments.

In order to solve the problem of rough sets theory in continuous attributes discretization a heuristic discretization algorighm on objective planning is proposed. With the wealthy calculation on objective planning and the importance of attributes considered, the heuristic discretization algorithm not only reduces decision rulers but also finishes attribute value reduction. The comparison between the algorithms in this paper and the other paper on teataste signals shows the algorithm in this paper produces less rulers and the short average length of rulers. The rulers in this algorithm have been decided, too. Consequently, the decision system has a high efficiency.

Through realtime monitoring police system log, the detail data of operational data store ODS are realtime elicited from system log to ODS, meanwhile this mechanism synchronizes the ODS data and business system database in second grade. Realtime ODS based mechanism establishes a LogODSDW threelevel model Police DW system, realtime OLAP based query, the cubes of ODS and DW fresh data dynamically, serving realtime OLAP service. The authors put forward a dynamic DW infrastructure which can offer realtime police decision analysis with the features of little burthen on business system, real time, rapid query and meet a need of police system.

We solved the Chinese review sentiment classification problem via describing and evaluating several machine learning approaches (Nave Bayes, maximum entropy and support vector machines) on some features of the Chinese reviews. The experiment shows the three machine learning methods perform well especially support vector machines, and the accuracy of sentence level is up to 88.26%, the accuracy of review level is up to 91.79%.

The authors provided a comprehensive survey of anomaly detection systems used in the recent years. Intrusion detection was divided into 3 kinds based on technologies used. They are statistical anomaly detection, machine learning based anomaly detection and data mining based anomaly detection. The authors described the various features of anomaly detection technologies in details, represented the algorithms used in the current Anomaly Intrusion Detection Systems, the implements of the algorithms, and also compared the effects of various detection algorithms through the experiment.

The effects of  acids (HCl,H₂SO₄,HBr and HNO₃) on meso\|tetraphenylporphyrin (H₂TPP) in dichloromethanesolution were investigated by means of   UV/Vis absorption combined with Raman scattering techniques, the electronic absorption spectrum shows the J\|aggregate of H2TPP is formed in the presence of HCl, HBr or HNO3, but both of H\| and J\|aggregates are formed in the presence of H₂SO₄ characteristic double bands at 818/834 cm^-1and 1 072/1 093 cm^-1 represented the main vibrational frequency difference between H\| and J\|aggregates.  Raman spectra of aggregate H₂TPP in the presence H₂SO₄ in dichloromethane, toluene and chloroform solutions show the dependence of aggregation behavior on the nature of solvent. The conclusion is that H₂TPP diacid has a tendency to form J\|aggregate in high solubility solvents, but both H\| and J\|types of aggregates in the relative low solubility ones.

 Optical properties of copper phthalocyanine (CuPc) and perfluorinated copper phthalocyanine (F₁₆CuPc) thin films were studied by means of spectroscopic ellipsometry on  a variable angle spectrometric ellipsometer. Thin films of these phthalocyanines were prepared on single crystal silicon substrates. Spectroscopic ellipsometry measurements were performed at different angles of incidence (55°,60°,65° and 70°) in a wavelength range of 248~1 650 nm (0.75~5 eV). The spectral dependences of optical constants, dielectric functions and absorption coefficients of these films were obtained by the simultaneous point\|by\|point fitting of the experimental data. It has been found that the substituting groups on the conjugated phthalocyanine macrocycles strongly influence resonance wavelength and abnormal dispersion of the thin films. The optical band gap (E_g) of each material was also derived from the extrapolation of the edge of  absorption.

The dry gel precursors were synthesized from Zn nitrate and Fe nitrate with a citric acid solution by means of  sol\|gel method. We obtained a series of Zn_1-xFe_xO after the precursors were sintered in air and in argon. The structure and magnetic properties of Zn_1-xFe_xO were characterized by  virtue of X\|ray diffractometer (XRD), transmission electron microscope (TEM), X\|ray photoelectron spectroscopy (XPS) and vibration sample magnetometer （VSM）. The results show  that the doping concentration of Fe in ZnO sintered in  air is less than 4％, while sintering in argon,  the doping concentration of Fe in ZnO is  close to 10％. The magnetic performance of sample with the same doping concentration prepared in two gas atmospheres was different. XPS analysis shows  that Fe existed in different valences in samples  prepared in different sintering atmospheres so as to affect the structure and magnetic performance of samples.

In order to improve the precision of big visual field photo electricity measuring system, a set of device for detecting optical systematic distortion was designed to compensate for the detecting piece according to the characters of the photo electricity measuring system and the target. On the basis of the principle of the distortion correction, the course of distortion correction in the measuring system was introduced via the distortion correcting device. The proceeding based on the correction method was compiled to adjust the distortion of the photoelectric measuring system. And the experimental analysis was carried out to prove the process feasiblility. The experiment result shows that the method reduces the measurement error caused by the distortion of optical system. After cubic equation compensation, the measurement accuracy has reached 0.244 pixel in the whole visual field. 

Ideality factor is closely correlated with the reliability of laser diode (LD). The measured ideality factor of narrow\|strip LD (2~3) is larger than that of wide\|strip LD (1~2). In consideration of the structural difference between wide\|strip and   narrow\|strip LDs, the simulation based on ORCAD was employed on the two types of LDs. The simulated and experimental results indicate that the current expansion is an important factor to affect measured ideality factor. The higher the ability to limit current in active region is, the lower the measured ideality factor is.

LiNi_1/3Mn_1/3Co_1/3O₂ compounds were prepared at different temperatures by means of a citrate process. The effects of different   temperatures on the morphology and properties were investigated. XRD results show that the sample sintered at 900  ℃ has a well\|crystallized structure, and the electrochemical measurements reveal that this sample also exhibits good cycle and rate functions, with an initial coulomb efficiency of 91.3％.

The CdTe quantum dots were synthesized in a microwave reactor. The photoluminescence quantum yield reaches 65% and the photoluminescence wavelength is from 510 nm to 670 nm. The CdTe quantum dots obtained with this procedure have narrower FWHM and higher photoluminescence intensity compared with those prepared with other procedures. In order to improve the photochemical stability, the CdTe quantum dots were coated with silica. The size distribution of the nanoparticles was uniform. Meanwhile, the biological toxicity of the nanoparticles was also studied.

As in soil and Hg in sediment were determined by flow injection hydride atomic absorption spectrometry. Under the optimum conditions of sample digestion and instrumental performance, the determining method is sensitive and accurate. For the determination of arsenic in soil, the limit of detection was found to be 2 ng/L and the recovery was in a range of 93.6%~106.1%, RS
Ds were in a range of 1.36%~5.08%. For determination of mercury in the sediment, the limit of detection was found to be 3 ng/L and the recovery was in a range of 93.2%~109.6%, RSDs were in a range of 0.97%~553%. The flow injection hydride atomic absorption spectrometry has a high sensitivity and stability in determining arsenic in soil and mercury in sediment and its precision and accuracy are up to the standard of analysis.

Spherical MgCl₂ support was prepared at a low stirring dispersion speed in a selfdesigned magnetic stirring reactor. SEM measurement showed spherical support had nice morphology. The particle size distribution of the support was even. The ethanol and water mass fraction of the support were determined through the thermogravimetry. Spherical supported ZieglerNatta catalysts for propylene polymerization showed a high activity, obtaining spherical polypropylene particles.

A dynamic microwave-assisted extraction (DMAE) approach was established for the extraction of scutellarin from Scutellaria barbata. The overall extraction process was monitored by online measuring the UV absorbance of the extract. The extraction conditions were optimized using orthogonal experimental design. The content of scutellarin was offline analyzed by HPLC. The detection and quantification limits of scutellarin obtained were 0.28 mg/L and 0.93 mg/L, respectively. The withinday and betweenday precisions (RSD) were 1.7% and 3.6%, respectively. The mean recovery of scutellarin was 98.3%.
The DMAE was compared with Soxhlet extraction and pressurized MAE (PMAE) respectively. The results show that the dynamic method is superior to PMAE in preventing analyte degradation, and also to soxhlet extraction in the reduction of time and solvent required. It is more important that the extraction process can be visually observed by UV online monitoring.

The 53 samples of Levofloxacin Hydrochloride for injection from different batches of a factory were surveyed by nearinfrared (NIR) spectroscopy. The spectrum variables of all the samples had been efficiently compressed and denoised through the wavelet transformation (WT) technology before the models were established by pattern recognition techniques. The two quantitative analysis models of Levofloxacin Hydrochloride for injection established via support vector machine (SVM) and artificial neural network (ANN) were studied separately in this experiment using radial basis function (RBF) SVM and back propag
ation (BP) network, and the related parameters were also discussed in detail. The simulation results show that the correlation of predicted values and chemical determination values of SVM model is better than that of ANN model, and SVM model owns excellent generalization for quantitative analysis results and high prediction accuracy.

Nonisothermal and isothermal decompositions of LiBF₄ were studied via TG-DTG method. Both the apparent activation energy E_a and the reaction order n got from both ways had good coherence. Furthermore,when the preexponential factor A got from isothermal decomposition was used to calculate the molecular radius by means of collision theory, the result is in good agreement with the test data. So the conclusion r that collision theory is suitable for LiBF₄’s thermal decomposition could be gotten. In addition, this conclusion could validate the high reliability of ln A.

We reported an investigation designed to knockout the MSTN gene by gene targeting in ovine myoblast cells. To increase the gene target efficiency and to supply nuleus transplantation donator for somatic cloning, two double traps (promotertrap and polyA trap) and targeting vectors MSTNgreen fluorescent protein (GFP) and MSTNneo were constructed and the foetal and neonatal ovine primary myoblast were cultured and identified. The cell cultural conditions were optimized. At the same time, the construct of no promoter vector was easy to molecular identification of positive cell clone after gene targetting.

Effect of nonionic surfactant TX-100 on biphenol A (BPA) degradation in the natural surface coatings by Pseudomonas putida was investigated. TX-100 inhibits the biodegradation of BPA in biofilm at low concentrations (<1.0 critical micelle concentration, CMC), however, it enhances BPA degradation in the presence of TX-100 at high concentrations (>1.0 times of CMC), and the degradation rate of BPA increases gradually with the increase of BPA concentration. The removal of the main components of the natural surface coatings by the selective extraction techniques has an effect on the BPA degradation, leading to a significant decrease in the biodegradation of BPA.

Based on the advantages of available micro plasma technology, our modified microwave plasma reactor was used for the degradation of two principle air pollutants, formaldehyde (HCHO), sulfur dioxide (SO₂). The experimental results show that HCHO as well as SO₂ were degraded significantly. The effects of the discharge current, carrier gas flowrate and types, inlet HCHO and SO₂ concentration and pH were also investigated and their contributions to the degradation were explained.