With the aid of the methods of the function decompositions and the conditions of the geometrically and upper doubling, the boundedness of CalderónZygmund operators and its commutators generated by RBMO(μ) functions was obtained on Morrey spaces associated with non\|homogeneous metric measure spaces. Moreover, as p=n/β, it was proved that commutators generated by CalderónZygmund operators and Lipschitz functions are bounded from the Morrey spaces into RBMO(μ) spaces.

Based on  the preserving properties of the perimeter of Boolean rank1 matrices and the equivalence of the dominating relation bet
ween matrices over Boolean algebra B andZ_min,  the inequality on the perimeter of the sum of two rank1 matrices over Z_min and the linear operator of preserving the rank  and perimeter. At last it get the properties of preserving the rank  and perimeter 2 of rank1 matrices over Z_min.

Using variational principle, the author studied periodic solutions for p(t)-Laplacian systems with  p-linear nonlinearity and partially periodic potential. Some results for the existence of multiplicity of periodic solutions of the systems were obtained via generalized saddle point theorem in the minimax methods.

This paper presents a new primaldual interior point method for solving general nonlinear programming problems. The improved primaldual interior point method may change the shapes of feasible region in order to expand the region of initial points, and get the descent direction of the merit function by the modified Newton method. The convergence of primaldual interior point method with parameter perturbation was presented and the effectiveness of the algorithm was shown by two examples.

To study one type of the generalized DGH equation with strong dispersive term, the improved Fan subequation method was used to investigate the exact travelling wave solutions with the aid of MAPLE. As a result, two sets of parameters constraints and all bifurcation structure of sub-equation were obtained. Based on qualitative analysis, abundant solutions including the solitary wave solutions, kink wave solutions and periodic wave solutions were obtained, with the wave profiles of these solutions given as well.

According to the characteristics of spectrum of the upper triangular operator matrices on the diagonal and the properties of the diagonal operator matrices corresponding to the upper triangular operator matrices, we investigated the stability of property (ω) for the square of the upper triangular operator matrices under compact perturbation, and gave the sufficient and necessary conditions for the square of the upper triangular operator matrices satisfying the compact perturbation of property (ω).

Firstly, the concept of fuzzy implicational ideals of WBR₀-algebras was proposed, some basic properties were discussed and some characterizations were obtained. Secondly, the notions of fuzzy congruences were defined, the relationships between fuzzy implicational ideals and fuzzy congruences were established. Lastly, the quotient algebra was induced by the fuzzy ideal and the homomorphism fundamental theorem was given.

On the basis of the thought of interval sets and filter theory, noncommutative residual lattices and fuzzy filters on the interval sets were discussed, providing the algebraic structure of the 〈∈,∈∪Q〉fuzzy filters of noncommutative residual lattices on interval sets, and giving the representation theorem of several equivalent characterization.

This paper deals with a kind of recursive density kernel estimator for unknown probability density function based on widely orthant dependent (WOD) sample. By the Rosenthaltype inequality for WOD sequence, we studied the pointwise strong consistency for the given estimator under suitable conditions. As application, the consistency of the failure rate function estimator was discussed.

Complete convergence and strong convergence properties for extended negatively dependent (END) random sequences were investigated by means of the moment inequality for END random sequence and with the help of truncated method. We obtained three series theorem and some sufficient condition about complete convergence and strong complete convergence for END random sequences.

Let {X,X_n}^_n∈N be a strictly stationary sequence of ρ^--mixing random variables, on the basis of which almost sure central limit theorem with  weight d_k=k^-1exp{log^αk}(0≤α<1/2) was obtained for the product of sums of partial sums by virtue of central limit theorem of weighted sums  and the moment inequality.

We proposed a predictioncorrection method for pricing American options. We transformed the option pricing problem into a linear complementary problem on a bounded domain via variable substitution and truncation technique, and discretized it via a finite difference method. For the resulting discretized system was solved by a predictioncorrection method. Numerical experiments show that the proposed method can solve the American option pricing problem fast and accurately.

Under the uniform Lipschitz condition, weakened linear growth condition and contractive condition, the existenceuniqueness and error estimation of the solution to neutral stochastic functional differential equations with infinite delay in space C_h were investigated. The existenceuniqueness theorem was obtained by means of Picard iteration and Doob’s martingale inequality. Furthermore, the continuous dependence of the solution on the initial data and the error estimation between the approximation solution and the exact solution were given.

Based on the epidemic dynamic theory, a SIRS epidemic model with logistic growth and treatment was established. On the basis of the growth of the total population satisfying Logistic equation and nolinear differentiable function being the treatment term, the model describes the effect of limited medical resources to delaying treatment of the sick. Based on the RouthHurwitz criterion, LaSalle invariant set principle and structured proper Lyapunov function method of stability theory in the differential equation, global asymptotic stable algebraic criterion of diseasefree equilibrium and endemic equilibrium
 and backward bifurcation conditions of the model were obtained. The research results show when the delayed effect is serious, backward bifurcation will take place and the basic reproduction number is not the threshold value of the eradicating of the disease. In order to eradicating the disease, medical resources construction should be strengthened, and prompt and superior medical service should be provided.

Let G be a simple graph, f is a total coloring of G. For an E-total coloring f of a graph G and any vertex x of G, let C(x) denote the set of colors of vertex x and the edges incident with x, we call C(x) the color set of x. If C(u)≠C(v) for any two different vertices u and v of V(G), then f is a vertexdistinguishing Etotal coloring of G or a VDET coloring of G for short. The minimum number of colors required for a VDET coloring of G is denoted by χ^e_vt(G) and is called the VDET chromatic number of G. Based on the analytical method and proof by contradiction, the VDET coloring of complete bipartite graph K_3,n was discussed and the VDET chromatic number of K_3,n(3≤n≤17) was obtained.

Hopf bifurcation of a class of Silnikov equation was studied by means of Washout fliter controller, with the relation between bifurcation parameter and the linear control gain obtained. The bifurcation parameter could be moved by changing the linear control gain. The amplitude of the limit cycle can be controlled by changing the nonlinear control gain. The validity of the control method proposed was verified by the numerical simulation.

The second boundary value problem for the fast diffusion system with inhomogeneous term was studied by the test function method and the comparison principle, obtaining its Fujita critical curve. We proved the nonexistence of the nontrivial nonnegative global solutions under the Fujita critical curve, and the existence of the nontrivial nonnegative global solutions above the Fujita critical curve.

We proposed an analytic method for solving a class of nonlinear wave equations based on the first integral method, and obtained the exact traveling wave solution for one category of Duffing equations theoretically. Results show that the first integral method for the exact solution of Duffing equations is a feasible method.

We investigated a system of nonlinear fractional differential equations subjecting to multipoint boundary conditions, and figured out the Green’s function. Using the increase operator fixed point theorem and the monotone iteration technique, we obtained the existence of positive solutions and established successively the iterative sequences of approximating solutions.

We considered the general variational inequality problem. We constructed the combined homotopy equation for the KKT equation of the general variational inequality and gave an existence condition of the homotopy path so as to obtain an existence condition of a solution of the general variational inequality.

We investigated the existence of the solutions to a class of semilinear elliptic equations with nonlinear singular terms  using the technique of approximation with the help of the integrability of the solution to the first step of the approximate problem and some  priori estimates,  proving the existence of weak solutions for this problem when m>1, 1<α<2-1/m so as to  get the effect of the summability of the weighted function f(x) and the nonlinear singular term on the right hand side of the equation.

Using the simplified Hirota method, we investigated the existence of soliton wave solutions of fifthorder evolution equations. Constructing auxiliary function, we obtained the single soliton solutions and double soliton solutions. Furthermore, we got the N-soliton solutions via this method.

The authors proposed two confidence estimating methods, namely, K-nearest and maximum distinction methods, which were practized with selected certain percentage of data in the UCI datasets, compared macrorecall, macroprecision and time loss, and proved the effectiveness of maximum distinction. The results show the improvement of confidence evaluation in semisupervised classification.

In view of both fixed inertia weight and premature convergence  obvious flaws of particle swarm optimization (PSO) algorithm, a dynamic adaptive adjustment strategy for inertia weight was proposed on the basis of a detailed analysis of the relationship among the inertia weight, population size, particle fitness and search space dimension,  which effectively enhances the global and local optimization abilities of the algorithm. For the problem of premature, the chaotic mapping method was used to increase the diversity of the population, while the group extreme was adjusted in the direction of negative gradient, which greatly reduces the probability of fall into the local extreme. The correctness and effectiveness of the proposed  PSO algorithm were verified to improve by some common used test functions compared with those by other algorithms.

It is difficult to use the traditional algorithm to achieve the ideal result of face recognition under the influences of light, angle and other negative factors and this paper presents a robust face recognition algorithm based on Gaussian mixture model. First of all, ach of the sub image is divided into sub blocks, and the orientation gradient histogram feature is extracted, and corresponding spatial location information of sub block is used to generate local feature vectors of face image. Secondly local feature vectors of all the images are used to train Gaussian mixture model to generate feature vectors. Finally, least squares support vector machine is used to build classifiers for face recognition and match and recognize face. The simulation test was carried out with ORL, Yale, and CIGIT face database, the simulation results show that the face recognition rate of the proposed algorithm is far higher than those of the contrast face recognition algorithms, and it has stronger robustness for light, angle and expression, and can obtain the faster face recognition speed, and has higher practical values.

A new measurement method based on adaptive network framework was presented, which can dynamically adjust the resources allocated to each measurement task, so as to ensure that the user level requirements for measuring accuracy. A prototype system was designed, implemented and verified with three different kinds of network measurement business. The experiment data show that the proposed method has advantages in task accuracy satisfaction ratio and task rejection ratio. And it is proved the proposed method has higher accuracy compared with the traditional method.

With the consideration of  the fact that the sensor nodes are equipped with limited battery power, a new energy aware opportunistic routing was proposed
 for prolong the network lifetime.  It exploits a new routing metric, which jointly considers link quality and energy. Also, a forwarding candidate selection method was proposed and the cooperation between the nodes which are in candidate set was presented. The simulation results evaluate the effectiveness of the proposed schemeenergy aware/expected transmission count (ETX) opportunistic routing (ETOE). It is shown that the ETOE can obtain much better results compared with the traditional opportunistic routing.

In view of illumination change, a method of face detection and eyes localization based on YCbCr skin model was proposed. First, in order to reduce the noise in the image, the image was preprocessed; then, RGB color space was transformed into YCbCr color space with good skin color clustering characteristics, and skin model was built through the method of Gaussian model. Finally, the face area was detected and the eye position was determined.

Based on fliping, a visual cryptography scheme with mask image is proposed, which can share two secret images. In this scheme, two secret images and a mask image are encoded into two shares, which have the same information as the mask image. One secret image can be revealed by stacking the two shares directly. The other will be revealed by turning over one of the shares and stacking over another. The experiment result proves the effectiveness of
the given scheme.

In order to improve the reliability of the multifunction vehicle bus (MVB) network system, a method of twomode hot redundancy was adopted to design a model of redundancy ring network for MVB, and proposed a corresponding media redundancy protocol MRPM. To analyze the reliability of MVB redundant ring network, OMNeT++ simulation platform was used to establish the model of MVB redundancy ring network. The results show that when the MVB redundant ring network fails, the MRPM can switch to the monitor bus in reliable and realtime, making the rebliability of the MVB network system improved effectively.

In the light of the features of small sample size and some information unknown time series data, gray neural network was constructed by combining the gray theory with neural networks, which makes the full use of the advantage of the two kinds of approaches to realize the data mining of the small sample time series data effectively. Meanwhile, in order to improve the prediction accuracy of the model, the residuals were used for the model effective correction. The experiment results show that the proposed residual correction gray neural network has a high prediction accuracy, and is very suitable for the small sample time series data mining.

In view of the problem of showing and browsing large data set of spatial data in the distributed parallel environment quickly, not only one kind of massive spatial pyramid model based on a hierarchical and special topic mechanism, but high access performance tile map service based on database storage scheme under the tiles pyramid model technology were proposed. The mechanism of tile data file management and database management under the storage performance and response process were comparatively analyzed. Moreover, sand and dust storm observation data for 59 years was taken as an example to validate that this method can not only effectively organize and manage massive spatial data to achieve efficient data interoperability, but also quickly respond to client requests in the multi\|user concurrent access.

To solve the abnormality detection problem of capacitive equipment in the power system, a method of electric insulativity detection based on wavelet tree was proposed with dielectric loss factor as detecting parameter. It basically solves the problem of abnormality automatic detection. In this method, twolayered wavelet tree was used to deal with the data of dielectric loss factor, which can detect abrupt change and continuous change of dielectric loss factor. The real dielectric loss factor data obtained from power substation were used to analyze the electric insulativity of capacitive equipment. The result proves the effectivity and practicality of the method, which can assist the early warning of abnormality.

We put forward a commodity screening method  on the basis of the theoretical method of extenics’ score theories, such as primitive theory, extension transformation, correlation of matterelement etc,  and take clothes as example to verify the validity of this method. In addition, we analyzed the correlation of matterelement and presented the method of commodity similarity based on the extenics. No doubt, it promotes the development of electronic commerce, what’s more, it opens up a new direction for the application of extenics.

An actual peer to peer quantum key distribution experimental system of polarization encoding was built based on BB84 protocol under pressure testing conditions. Fibre channel pressure experiment about quantum key distribution was completed. The theoretical model of quantum bit error rate was established with positive operator valued measurement method. The research results show that under the same pressure, bit error rate increased with the increase of angle, the result was as theoretical arithmetic expected; and at the same angle, the bit error rate showed a gentle shock upward trend with the increase of pressure, and when the pressure exceeded a critical value, the bit error rate increased rapidly, approaching the limit, forcing the quantum key distribution system to reestablish a connection.

An improved algorithm was proposed which combined rough set algorithm with fuzzy clustering algorithm. The algorithm took full advantage of lower approximation set and upper approximation set in rough set to solve the problem of uncertain border of fuzzy clustering, getting the result of cluster in lower approximation set and upper approximation set so as to achieve better clustering. It can deal with border issues and complex data issues. The proposed algorithm was applied to researching on cyclodextrin clustering, with the  results showing that compared with K-means clustering algorithm and fuzzy C-means clustering algorithm, improved algorithm has a better clustering effect.

We gave the expression of the transmission matrix and magnetic field distribution of onedimensional transverse magnetic (TM) wave function photonic crystals. We studied the magnetic field distribution of onedimensional TM wave function photonic crystals, and considered the effect of defect layer
 on the magnetic field distribution. We calculated the transmissivity of TM wave for positive incident and negative incident, and compared them with transverse electric (TE) wave.

The chiral transition mechanism of α-Ala molecule based on amino group as H transfer bridge confinement in the complex environment of SWBNNT (10,5) and water was studied by the combined method of quantum mechanics and molecular mechanics ONIOM(MP2/6311++G(3df,3pd): UFF)//ONIOM(B3LYP/6-31+G(d,p): UFF). The results show that there are two shift reaction channels a and b. Reaction channel a used amino group  a H transfer bridge and b used carbonyl and amino group as H transfer bridge, while H transfer was achieved by one or two water molecules as a medium; the highest energy barrier of a channel was obtained in the transition state where H was transfered from the chiral carbon to amino group. The high energy barrier reduced to 126.5 kJ/mol using two water molecules as  H transfer bridge, which is far less than the energy barrier 266.1 kJ/mol of the monomer in
the channel. The highest energy barrier of b channel was obtained in the transition state where H was transfered from the chiral carbon to carbonyl. The high energy barrier reduced to 155.6 kJ/mol using two water molecules as  H transfer bridge, which is far less than the energy barrier 319.9 kJ/mol of the monomer in the channel. That is to say the complex environment of SWBNNT (10,5) and water has a better catalytic action for the chiral transition of α-Ala molecule.

We presented an investigation of the pressureinduced phase transformation of CeN using the firstprinciple calculation based on density functional theory (DFT). The results show that the pressureinduced phase transformation of CeN was from NaCltype (B1) structure to CsCltype (B2) structure at pressure of 55 GPa. B1 structure is mechanically and thermodynamically stable at pressure of 0, while B1 structure is not mechanically and thermodynamically stable at pressure of 55 GPa.

LiFe(MoO₄)₂ was synthesized by solid state reaction and its structural and magnetic property were investigated by Xray diffraction (XRD)， scanning electron microscopy (SEM)， transmission electron microscopy (TEM) and superconducting quantum interference device (SQUID). Furthermore, its
 electrochemical properties were tested between 3.0 V and 1.0 V. The electrochemical tests show that, as a positive electrode material, LiFe(MoO₄)₂ demonstrates good cycle performance with a reversible capacity of 200 mA·h/g and high coulombic efficiency of 98.5%, respectively.

This work evaluated the adsorption and protection capacities of aminofunctionalized mesoporous silica nanoparticles (Am-MSNs) for pDNA （PEGFP-N3）. The in vitro biocompatibilities of AmMSNs to A549 and Hela cells were also tested, respectively. The results reveal that the Am-MSNs 
exhibit good adsorption capacity for PEGFPN3. Moreover, the material can also protect PEGFPN3 from enzymatic degradation completely. In addition, the
sample presents high in vitro biocompatibilities to HeLa and A549 cells.

A novel spectrophotometric method for the determination of protein was proposed based on the fact that in the presence of OP100, chlorophosphonazoⅢ（CPAⅢ） and bovine serum albumin （BSA） can react quickly to generate a composite under acidic conditions that shows a characteristic absorption peak by which protein can be accurately detected  with spectrophotometry. At 674 nm, （CPAⅢ）BSA composite  has a maximum absorption. The absorbance difference （Δ A） is linearly related with the concentration of BSA over a range of 0—300 μg/mL and the fitted equation is Δ A=0.003 1ρ+0.003 9 （ρ： μg/mL）, with a correlation coefficient r=0.996 4. The detection limit of the method was 1.55 μg/mL. The proteins in human serum and egg albumen samples were successfully determined by this method. The relative standard deviation was 2.43%—4.35%. The recovery of standard addition of the method was 97.97%—103.07%.

Copolymer PCL\|b\|PB\|b\|PCL was successfully prepared by a novel chemoenzymatic strategy coupled with  enzymatic ringopening polymerization
 (eROP)  and ringopening metathesis polymerization (ROMP). The chemical structures of the products were characterized by ¹H NMR, GPC and DSC. A complete shift of the GPC trace to higher molecular weights  illustrates that the copolymer was successfully prepared.  ¹H NMR data clearly show  block in the copolymer is hydrolyzed completely, and a clear shift of the GPC trace to lower molecular weights  illustrates that the synthetic strategy is reliability.

An HPLC method was used to determine the mass ratioes of songoramine and songorine in the fibrous roots of Aconitum carmichaeli Debx. A Zorbax ExtendC18(4.6 mm×250 mm ODS, 5 μm) column was used. The mobile phase consisted of V(acetonitrile)∶V(w(triethylamine)=01%)=
6∶4 was used for isocratic elution. Flow rate was set at 1.0 mL/min, the wavelength of VWD detector was set at 220 nm and the column temperature was maintained at 25.0 ℃. The linear range of two alkaloids was the same as 0.1—10.0 μg (r₂=0.999 8), the mean recoveries were 998% (RSD=149%, n=6) and 993% (RSD=146%, n=6) respectively. The mass ratioes of songoramine and songorine in the fibrous roots of Aconitum carmichaeli Debx were 57.0,110.0 μg/g respectively.

Tubificid was selected as the bioturbator. Highresolution distribution and variation of pH and dissolved oxygen (DO) in the microenvironment of sediment near the tubificids’ burrows were investigated by laboratory simulation experiments via microelectrodes. The results indicate that the pH value of sediment increased with time going at first, and then decreased. The bioturbation of tubificids had an inhibitory effect on this decrease of pH value. At the same bioturbation time, the surface pH value of the sediment around the tubificid burrows declined (up to 0.3 pH units). This effect of declining could become effective in an area of 1 mm radius around the burrows. Without tubificids, DO value level of the microenvironment near watersediment interface decreased with time going. In the presence of tubificids, the DO value level near the watersediment interface around the tubificid burrows increased (increased by 92—170 μmol/L) in the horizontal direction. The penetration depth of DO also increased, and the maximum penetration depth increased from 3 mm to 5 mm. Therefore, the presence of tubificids would affect the contaminants in the watersediment interface by changing the distribution and variation pattern of pH and DO of the sediment microenvironment.