The rings with strongly symmetric endomorphisms were investigated. Let α be an endomorphism of ring R. Ring R is known as strong right α-symmetric if abα(c)=0 implies acb=0 for any a,b,c∈R. The relationships between strong α-symmetric ring and symmetric, strong α-reversible or strong α-semicommutative ring were discussed, and some extensions of strong α-symmetric rings were st
udied. It is proved that 1) Ring R is strong α-symmetric if and only if R is symmetric and α-compatible; 2) Ring R is strong α-symmetric if and only if R［x;α］ is strong α-symmetric; 3) If α is an automorphism of right Ore ring R, then R is strong α-symmetric if and only if the classical right quotient ring Q(R) of R is strongα-symmetric.

Introducing independent parameters, applying the techniques of real analysis and the way of weight functions, the authors presented a new Hilberttype integral inequality with the kernel of cosecant function and a best constant factor related to the Riemann zeta function and deduced the equivalent form and some homogeneous forms for a particular parameter.

We introduced the notion of Heisenberg Jordan-Lie algebra so as to investigate some subgroups of the automorphism group Aut(H) of Heisenberg JordanLie algebra H. Moreover, we discussed some basic structure of the automorphism group Aut(H) in the case of H being lowdimensional.

The authors studied a class of nonlinear  commuting maps (namely, modulo linear commuting map) on triangular algebras, described the forms of such maps, and gave such a sufficient condition that every modulo linear commuting map on triangular algebras is proper. As an application, it is proved that every modulo linear commuting map on nest algebras is proper.

With the help of the weighted inequalities and boundedness on the weighted Lebesgue spaces, the weak type estimates of the square function with rough kernel and LittlewoodPaley g^*_λfunction are obtained respectively on the weighted Morrey spaces L^p,κ(ω) as the kernel 
Ω∈L^q(S^n-1)(1<q≤∞) is degreezero homogeneous  and has mean value zero on S^n-1.

Based on  the  moving frams, the Ricci identity and the Laplacian about the squared norm of the second fundamental form for the timelike submanifolds in de Sitter space were calculated, and some necessary conditions for the compact maximal timelike submanifold in de Sitter space were given.

The authors described approximate solutions for systems of fractional differential equations by the variational iteration method, and modified the correction function. Numerical results reveal that variational iteration method is very effective and accurate for obtaining approximate solutions of systems of fractional differential equations.

We considered the polynomial first integral for reversible Lotka-Volterra model which describes the oscillatory chemical dynamics in a closed isothermal reaction. Making use of integrability theories of semiquasihomogeneous systems, we proved that the LotkaVotterra model is a unique polynomial first integral.

This paper generalized good error formulas and considered Lagrange interpolation for Cartesian point sets. Taking 3dimension Cartesian point sets for example, we provided the integral form of error formulas for this class of interpolation problem using the relationship between the Bspline and  finite difference quotient. The results can be generalized in the ddimensional Cartesian point sets.

Let {Yi,-∞<i<∞} be a sequence of identically disributed strong mixing random variables, and {ai,-∞<i<∞} be an absolutely summable sequence of real numbers. By means of the moment inequality of strong mixing sequence and in consideration of the property of slowly varying function, we obtained the complete moment convergence and strong law of large numbers for moving average processes generated by strong mixing sequences under some suitable conditions.

Precise Asymptotics for Product of Partial Sums of φ-Mixing Sequences

The authors studied the complete convergence for weighted sums of ρ^--mixing random variables sequence without assumption of identical distribution via truncation method for ρ^--mixing random variables sequence, Hlder inequality, Markov inequality, Jensen inequality, Cr inequality, moment inequality and Rosenthal inequality. As an example of application, we further extended the MarcinkiewiczZygmund type strong law of large numbers
for weighted sums of ρ^--mixing random variables sequence with the aid of Borel-Cantelli lemma.

A homotopy equation was constructed for the P-mixed linear complementarity problem, the existence, boundedness and convergence of the homotopy path were proved, the solvability of P-mixed linear complementarity problem was obtained. Thus an interiorpoint method of P-mixed linear complementarity problem has been established.

A parametric algorithm was proposed for solving the nonisolated global optimal solution of quadratic bilevel programming problem in view of most existing approximate methods for solving these problems sometimes providing an infeasible solution, or a solution far from the ture optimum. The algorithm overcomes these limitations. Numerical results presented show the effectiveness of this method.

The strict efficiency of setvalued optimization was considered in real normed linear space by a new secondorder asymptotic epiderivative. With the help of secondorder asymptotic tangent cone, a new secondorder asymptotic epiderivative was introduced. At the same time,  an example was given to show that its existence condition is weaker than that of secondorder asymptotic tangent derivative. By applying the derivative and properties of a dilating cone, an optimality necessary condition of locally strictly efficient element for setvalued optimization was established.

This paper deals with the American put option pricing problem governed by the BlackScholes equation. Applying finite difference method coupled with Newton’s method to solve the BlackScholes equation, we can get the numerical approximations of the option price and the optimal exercise boundary simultaneously. Numerical experiments verify the efficiency of the method.

We investigated the convergence of the empirical spectral distribution (ESD) of normalized Laplacian matrix from random graph with given expected degree. It was shown that the ESD of normalized Laplacian matrix converges to a fixed probability distribution when the expected degree satisfys some assumptions, but the fixed probability distribution may be different at different places.

Hopf bifurcation type and Hopf bifurcation control of a relative rotation dynamical system with nonlinear damping force were mainly studied. Firstly, the original system was changed to a twodimensional system via center manifold theory, and the stability coefficient of the twodimensional system was calculated to determine the Hopf bifurcation type of the original system. Then, the cubic nonlinear controller based on Washout filter theory was designed to control Hopf bifurcation, and the effects of control parameter on Hopf bifurcation type and periodic solution’s amplitude were discussed. The results show that when the control parameter satisfies certain condition, the potential threat subcritical Hopf bifurcation of original will be changed to supercritical Hopf bifurcation, thus the normal vibration of original system is guaranteed, and the amplitude of vibration will decrease with the reduction of the control parameter.

We obtained a blowup criterion for strong solutions to a class of compressible non-Newtonian fluids just in terms of the derivative of the velocity using the proof of contradiction. In other words, if the derivative of the velocity remains bounded as time t approaches to the critical time, a local strong solution can be continued globally in time. In addition, the initial vacuum states are allowed in our cases.

This paper deals with the implementation of preconditioned conjugate gradient method (PCG) for structural static reanalysis. The implementation of PCG is revised by exploring sparsity of incremental stiffness matrices so that the computational cost and time can be reduced. Numerical example is given to show the effectiveness of the method.

With the help of a proposed cellular automata model for the twodimensional bubble annihilation and a honeycomb structure instead of the twodimensional bubbles, we simulated the process of the bubble collapse at a load beyond the critical load. This result shows the process meets Zipf’s law.

For a set of multiarrangements, we gave the concept of universal basis, offered the definition of (1,2)type multiarrangement of twodimensional, and also constructed the universal bases for all of them.

A new equipment fault diagnosis method was proposed. In this method, we established the fault diagnosis Bayesian network through the combination of the fault tree with Bayesian network, and used joint tree to reason out the fault diagnosis based on the diagnosis fault Bayesian network. The method can solve the problems that modelling hardly and weakly reasoning ability caused by respectively using fault tree and Bayesian network. Fault diagnosis to a deck lighting system of a ship was carried out, and then the probability distributions of fault nodes were calculated, as a result, the fault of deck lighting system can be located quickly and accurately.

The authors proposed a new central navigation system based on switching between COMPASS and global positioning system (GPS). After analyzing
the signal carrier to noise ratio of the two positioning modes, the system achieved dual mode switch and solved signal incontinuous problem in the general
dualmode positioning system. Also the dynamic traffic information has been introduced into the process of routing planning, which helps to solve the problem that traditional vehicle navigation system can not provide flexible routing planning based on realtime traffic condition. This paper formulates simple data transfer protocol between vehicle and server, which simplifies the general protocol between them. Experimental results show that this system can maintain a higher quality of satellite data and has achieved the goal of the dynamic navigation based on traffic situation.

The traditional database retrieval has a lot of problems, such as the slower retrieval speed, the incomplete results, and disorderly retrieval results and so on. This paper designs a database index structure based on the Lucene index structure, the full text retrieval tool and puts forward the concept of record inverted index list. So Website can be retrieved by the keywords in the index library, not following the traditional sequential search way, which greatly improves the retrieval efficiency. At the same time, experimental results show that the database fulltext retrieval basedLucene has the advantages of high recall and the orderly retrieval results.

A planning method based on genetic algorithms for forest fire airborne patrolling path was proposed after the factors, including landforms, distribution of forest resources, forest fire occurrence regulation, airborne platform’s performance, had been fully taken into account. The results of tested region show that the method can not only make the path shorter than the original path (46.06%) but also meet the requirements of covering the monitoring area.

This paper presents a novel algorithm called L_3/2 regularized graph nonnegative matrix factorization, which was based on the convex and smooth L_3/2 norm. When original data is factorized in lower dimensional space by nonnegative matrix factorization, L_3/2 regularized graph nonnegative matrix factorization preserves the local structure and intrinsic geometry of data, with the aid of  the convex and smooth L_3/2 norm as sparse constrain for the low dimensional feature. An efficient multiplicative updating procedure was produced along with its theoretic justification of the algorithm convergence. Compared with nonnegative matrix factorization and its improved algorithms based on sparse representation, the proposed method achieves better clustering results, which is shown by experiment results on ORL face database, USPS handwrite database, and COIL20 image database.

A long distance peer to peer quantum key distribution experimental system of polarization encoding was built based on BB84 protocol. With the help
of this experimental platform, quantum key distribution experiment with 5,10,15 km three different transmission distances was completed and the main parameters of the system  was collected in real time for data analysis. The experimental results show that with the increase of quantum fiber channel distance from sending end to receiving end, the system bit generation rate and the amount of key generated by the system would drop, the bit error rate of signal state and decoy state would increase within statistical time. The experimental results have theoretical and practical value for practical development of the longrange security quantum key distribution system.

To solve the safety issues, we proposed a new way of automatic safety protection for user cookies. The cookie was stored in encrypted removable storage devices, and then the fingerprint identification recognition was carried out. This enables the program full background operation: cookie automatic move, transfer, storage and deletion. In this process, users were allowed to conveniently perform network login on different computers in the same cookie application environment. This new method can effectively protect the privacy, and create more convenience for users.

The authors presented a designed method using serial peripheral interface controller based on field programmable gate array. Using logic resources of FPGA with the ability to produce accurate time series, we can expediently readwrite and wipe SPI flash and store data rapidly and accurately. It also expounds the designing process of SPI controller, which utilizes the simulation and verification by Modelsim and uses VHDL hardware description lang
uage to programme. Then we downloaded the program to FPGA development board to test and verify the readwrite and wipe SPI flash and finally operated the SPI interface flash. It is proved that the method is correct and reliable, and has general applicability to the system designment of the flash controller. This method with FPGA as the control core of system achieved data storage for a long time.

The pulse laser was used to produce laser beam that directly irradiates on the interface between the epoxy coat and aluminum substrate to excite the acoustic waves, an optical interferometer was applied to detecting displacement on the rear epicenter of the aluminum substrate. The results of this experiment show that the amplitude ratio of direct wave and reflected wave is directly related with the interfacial bonding characteristics. The described method could be used to evaluate bonding quality for similar structure.

A SiGe film was electrodeposited in ［EMIm］Tf2N ionic liquid. In order to study the reaction process of SiGe on electrode surface, cyclic voltammetry curves at different scan rates were determined. The microstructure and composition of the SiGe film were characterized by scanning electron microscopy and energy dispersive spectroscopy. An irreversible process of the codeposition of SiGe was controlled by diffusion in ［EMIm］Tf₂N ionic liquid. The
 cathodal transfer coefficient (α=0.175) and diffusion coefficient (D₀=6.64×10^{-7 }m/s) of an electrode reaction process of SiGe codeposition were calculated based on the cyclic voltmmetric curve.

A novel ultra\|wideband antenna with diamondshaped patch was designed and fed by a coplanar waveguide. The size of the substrate is 26 mm×24 mm×0.8 mm and the substrate material uses FR4 with a relative permitivity of 4.4. The patch was  optimized twice by  ground plant’s first order optimization. The simulated and experimental results demonstrate that the bandwidth (VSWR≤2) starts from 2.0 GHz up to 14.5 GHz and  relative bandwidth comes to  151%. This diamondshaped UWB antenna has the advantages of simple structure and miniaturization that can be applied to various UWB systems.

To explore the fracture mechanism of metal nanowires,  a fracture process of Cu nanowire upon stretch was theoretically studied by molecular dynamic (MD) simulations based on embeddedatom method (EAM) potential. The relationship between stress, strain and dislocation before fracture as well as the morp
hology evolution after fracture was analyzed. The results demonstrate that the tips on the two ends of the nanowire can stuck the dislocation motion. Then the stacking fault by the first partial dislocation could be annihilated by a full dislocation formed by another partial dislocation. This process  can thus enhance the fracture strength. The sharp structure after fracture can retract and become obtuse spontaneously. The atomic scale analysis of the morphology change demonstrates that the fracture is a process of eliminating the high energy structures, such as isolated atoms, twin boundary and surface kink. The surface of the fracture finally emerge many (111) facets with lower energies. Therefore the physical mechanism is attributed to the rule of energy minimization.

The energy level of the electron acceptor plays an important role in bulk heterojunction solar cells. A conjugated polymer BTT-BT_z  as electron donor and fullerene derivatives PC₇₀BM, PC₆₀BM and IC₆₀BA as acceptor with different energy levels was studied, and the influence of the acceptor energy level on the opencircuit voltage (V_oc) , shortcircuit current density (J_sc), fill factor (FF) and power conversion efficiency (PCE) were investigated. The BTTBTz/IC₆₀BA based device exhibited a high V_oc of 1.06 V, but the poor PCE of 1.49% due to the lower J_sc. Although the V_oc of the devices based on BTTBTz/PC₆₀BM and BTTBTz/PC₇₀BM is decreased, they displayed promising efficiencies of 322% and 5.06%.

The solvation behavior of n-alkane in supercritical CO₂ was studied via the multiscale computer simulations combining atomistic molecular dynamics (MD) and dissipative particle dynamics (DPD) techniques. Firstly, the physical properties such as density, solubility parameter were calculated from atomistic molecular dynamics simulations. Next, a dissipative particle dynamics model was constructed with the solubility parameters to simulate the solvation behavior of n-C39 in supercritical CO₂. The solubility of n-C39 in supercritical CO₂ at different pressures was measured by visual images and order parameters. The minimum miscible pressure of n-C39 in supercritical CO₂ was also estimated based on the order parameter values at different pressures.

A hydrothermal method was used to synthesize Mn⁴⁺ doped SrGe₄O₉ red phosphor. The crystal structure and luminescent properties of the SrGe₄O₉∶Mn⁴⁺ were characterized by XRD and FS. The SrGe₄O₉∶Mn⁴⁺ phosphor emits red emission at 656 nm due to the ²E₂→⁴A₂transition of Mn⁴⁺. The valence state of Mn was demonstrated by EPR. In addition, the influence of Mn⁴⁺ doping concentration on the luminescent properties of the phosphor was studied and the luminescent properties of the hydrothermally prepared SrGe₄O₉∶Mn⁴⁺ phosphor was compared with those of the control sample prepared from solid state reaction.

SAL was taken as a template, methacrylic acid (MAA), acrylamide (AM), and 4-vinyl pyridine (4-VP) were taken as single functional monomers, MAA and AM were taken as hybrid functional monomers. Density functional theory (DFT) at the LCWPBE level was used to investigate the geometry configuration optimization, the action sites, the natural bond orbital (NBO) charges, the binding energies of the imprinted molecule, and the solvation energy. The mechanisms between salbutamol and each of different functional monomers were discussed. The results show that SAL interacted with the functional monomers by hydrogen bonds, and they were matchable in steric structure and chemical groups, resulting in ordered compounds. The interaction between SAL and MAA is the strongest. The polymer with a ratio of SALMAA (1∶4) in acetonitrile (ACN) had the lowest binding energy and the maximum charge transfer trend. Under the guidance of calculation results, the SALMIPs were synthesized by the precipitation polymerization. The results indicate that when the ratio of SALMAA is 1∶4, the SALMIPs have the maximum adsorption capacity, and the conclusion of experiment is consistent with the results of calculation.

Two 1,3,5benzenetricarboxylato coordination polymers {［Cu₂(Hbtc)₂(H₂O)₆］·ppz·H₂O}_n(1) and {［Co₂(btc)₂(H₂O)₆］·(H₂ppz)·(H₂O)}_n(2), (H₃btc=1,3,5benzenetricarboxylic acid, ppz=piperazine) have been hydrothermally synthesized and characterized by IR, UV-Vis-NIR,  elemental analysis and X-ray single crystal diffraction. Structural analysis reveals that the two coordination polymers both crystallize in the triclinic system with P-1 space group and both possess the M1btcM2btcM1polymeric zigzagchain structure, but the coordination geometry around metal ions is different and the same organic molecules exhibit different forms. The photovoltaic property was investigated by surface photovoltage spectroscopy (SPS). The results reveal that the two polymers all exhibit surface photovoltage responses under UVVis lightinducement in SPS, and the coordination environment of the metallic ion affect the response scope. The SPS responses were analyzed and assigned by the combination of the energy band theory of semiconductor and crystal field theory.

An ester acetal polymer with high acidolysis activity was combined with diazonaphthoquinone sulfonate to form a novel photoresist, which can be used as a chemically amplified iline (365 nm) photoresist with a high sensitivity. Under the action of acid, the polymer can be decomposed into small molecular fragments. Compared with the traditional photoresist system, it performs dissolution rate higher when developed with diluted alkali, and can further improve the sensitivity. And the image with linewidth less than 0.5 μm can be made.

CoFeMg oxide nanocrystals were prepared with solgel method and characterized as a catalyst. SEM and XRD were used to characterize the catalyst, methylene blue was used to study the synergistic degradation of the catalyst and H₂O₂, the dynamic process of oxidative degradation of methylene
blue was studied by the steadystate approximation method. Results show that CoFeMg Fenton reaction system composed of CoFeMg oxide nanocrystals used as a heterogeneous Fentonlike catalyst and H₂O₂ effectively degraded methylene blue. At pH≈7.15, a mass concentration of CoFeMg oxide nanocrystals of 0.8 g/L and concentration of H₂O₂ of 2 mmol/L, the degradation rate of methylene blue was evaluated to be 95%. Compared with that of traditional Fenton reaction system, the amount of leaching of iron was decreased to 0.2 mg/L under similar conditions. The dynamics results show that Fenton reaction system shows a hydroxyl radicals (·OH) oxidation degradation process of methylene blue, and the reaction was considered as secondary dynamics.

Poly（itaconic acid） was successfully synthesized by radical polymerization. Afterwards, combshape amphiphilic copolymers PIA-g-DDA were obtained via grafting docecylamine onto the backbone of PIA through amination reaction. Hydrodynamic diameter of the micelle formed by PIA-g-DDA in water was recorded by dynamic light scattering (DLS). The effect of graft density of alkyl on the size of the micelle was investigated, with the results indicating that an increase in the graft level of DDA leads to a decrease in the size of the micelle conversely. Critical micelle concentration (CMC) of the micelle was determined through fluorescence spectrophotometry with pyrene as probe to be 2.01×10^-2mg/mL. In the end, the copolymers were employed to encapsulate DOX (DOXorubicin) as a model, namely, drug delivery system PIA-g-DDA@DOX, to demonstrate an ideal encapsulation efficiency and drug loading value, and more importantly sustained release of drugs.

Comb methyl allyl polyethenoxy etherpolymethyl acrylate (HPEG/PMA) was synthesized with atom transfer radical polymerization (ATRP). FT-IR and ¹H NMR were used to identify the structure of HPEG/PMA. The results show that we successfully synthesized  comblike HPEG/PMA. Gel permeation
chromatography (GPC) was used to characterize the molecular weight and molecular weight distribution. The molecular weight was 7.7×10³ and molecular weight distribution was 1.11. It indicates that the synthesis of HPEG/PAA with ATRP has good controllability. The HPEG/PMA was hydrolyzed with NaOH 
V(ethanol)∶V(H₂O)=1 solution to get HPEG/PAA.

The determination of the new compound of 24(R)majoroside R₁ in Panax japonicus C.A. Mey. var. Major (Burk.[KG-*3]) C.Y. Wu et
K. M. Feng was developed by HPLC\|ELSD method. The conditions of chromatography were Aglient Zorbax SBC₁₈ Column (ODS, 4.6 mm×250 mm, 5 μm) was adopted; mobile phase was composed of V(methanol)∶V(water)=58∶42; flow rate was set at 1.0 mL/min; temperature of column was set at 25 ℃; carrier gas pressure was set at 1.94×105 Pa tube temperature of ELSD was set at 85 ℃; impactor was set in closed state. As the results show in the range of 0.4—20.0 μg, the linearity of 24(R)majoroside R1 is good, r=0.999 3(n=6), the average recovery was 98.7%, and RSD=1.28% (n=6).

The composite fingerprint virtual screening was used to predicate the binding mode of autotoxin’s (ATX) inhibitor. Our results indicate that Thr209,Asp172,Tyr306,Phe210,Leu243,Leu213, and Phe274 are important residues for binding 24 inhibitors (10 lipid and lipidbased inhibitors and 14
small molecule inhibitors). We also predicted the binding mode of plasminogen activator inhibitor 1 (rPAI-1) to ATX. Under the guidance of GRAMM software, the homology modeling of macromolecule inhibitor rPAI1 showed it was docked to ATX. Through molecular dynamics simulation, we predicted the important residues Glu155 and Ala158 involved in the binding of macromolecule inhibitor rPAI-1.