In this paper, a new kind of Lagrangian quadratic finite volume element method based on optimal stress points is presented for solving two\|point boundary value problems. In general,  trial and test spaces are chosen as the Lagrangian quadratic finite element space and the piecewise constant function space respectively. It is proved that the method has optimal H¹ and L² error estimates. The superconvergence of numerical derivatives at optimal stress points is discussed. Finally, the numerical experiments show the results of theoretical analysis.

For the fitting problem of asymmetric data, we constructed  the ratio |X/Y| where X and Y are mutually independent and are from the normal and Γ  random variables respectively.  We derived the PDF and CDF of  |X/Y| by the properties of complementary error function and discussed the distribution character. Our results show that the distribution
can better fit the peak, thin and rightskewed data.

Based on quasiuniform Bspline basis functions and multiresolution theory of Bspline wavelets of two dimension,  the Bspline wavelets constructed by taking quasiuniform Bspline basis functions as scaling function as well as its decomposition algorithm are described. Further,  the decomposition algorithm for NURBS surface is studied. By making use of  G¹ conditions for two NURBS surfaces(Bspline surfaces in this paper) and their multiresolution representations, this paper presents the algorithm for maintaining the G¹ continuity of two multilevel NURBS surfaces and its implementation.

By the further study of R₀-logic algebras, for the first time we have established a pure algebra’s form (M,(,→)) of R₀-logic algebras on a set M with binary operators ,→ on which there is no structure of lattice. Not only does this work show further the characters of general algebra of R₀-logic algebras, but also this work reveals the connections of R₀-logic algebras with other logic algebras.

According to the concepts of a Fuzzy good congruence relation and a Fuzzy cancellative congruence relation on abundant semigroups, some properties and characterizations of Fuzzy good congruences and Fuzzy cancellative congruences on ICquasiadequate semigroups were given. Finally, sufficient and necessary conditions for a Fuzzy good congruence on an ICquasiadequate semigroup to be cancellative were proved.

The author presented the classification of low dimensional  Lie supertriple systems over a field of arbitrary characteristic, i.e.,1-dimensional Lie supertriple systems, 2-dimensional Lie supertriple systems  and 3-dimensional Lie supertriple systems are divided into two classes, seven classes and nine classes, respectively. Moreover, the author constructed  superde
rivation and automorphism group for 2-dimensional Lie supertriple systems over complex number field.

Aiming at general smooth constrained optimization problems, we proposed a primaldual infeasible interiorpoint method. We added the penalty term of the sum of equality constraint and the barrier term of slack variables to the object function so as to convert the original problem. In the method, there are three merit functions to make the algorithm convergence to the local minimum point rather than other first order optimization point. We gave computational results, showing that the algorithm can solve nonlinear programming problems in an efficient way.

The authors studied the asymptotic behavior of the radial minimizers u_ε of a p-Ginzburg-Landau functional in an annular doma
in. At first, that the zeros of u_εare located qualitatively near the boundary of the annular domain was proved by the local analysis. In addition, the uniform estimate of the energy was established by iteration. Based on this result, the W^1,p convergence of minimizers as ε→ 0 was proved also.

We reformulated the Ulam’s stability of quadratic functional equation in the space of tempered distributions and made use of regularization method to prove the HyersUlamRassias stability of quadratic functional equation in the space of tempered distributions, giving the degree of approximation between quadratic function and the tempered distribution which satisfies Ulam’s quadratic functional inequality.

In this paper is  concerned with a ferromagnetic and antiferromagnetic functional in the case of p∈(n-1,n), n≥3. Applying the local analysis, the authors firstly deduced the regular estimate of this functional. Then the W^1,p_loc convergence of its regularized minimizer was proved. Based on these results and the established  corresponding estimate of the radial solution to the Euler system, the authors finally obtained the C^1,α  convergence and the estimate of the convergence rate of the radial minimizer.

The nonlinear scalarization function of sets is defined in a topological vector space with a partial order structure. Some properties of the nonlinear scalarizaiton function are proved. By means of  the nonlinear scalarization function, the authors have deduced a generalized Ekeland’s variational principle for setvalued map, which is a generalization of the vectorial form of Ekelandtype variational principle.

This paper investigated a class of nonlinear secondorder singular boundary value problems with paratmeter in Banach space by using mixed monotone method, a sufficient and necessary condition for the existence of positive solution was given.
 Furthermore the solution is unique and consecutively derivable.

The author investigated some properties of selfexciting filtered Poisson process by studying a kind of filtered Poisson process which  concerns  the arrival time of each of the former events,  and applications of the properties in marked point process of the censored δshock model and customer lifetime value (CLV) on customer relationship management,  gaining the characteristic functions and 1st moment of selfexciting filtered Poisson process. With these results,  the expectation of marked point process of the censored δshock model and the mean of CLV were obtained.

We derived symmetry relationships between values and optimal exercise boundaries of the American capped call and floored put option by means of PDE arguments and extended our results to the options with the cap and the floor varying with time. Our results in this paper are significant for investors.

By means of the method of upper and lower solutions and its associated monotone iteration, a finite difference method with an accuracy of order four in space and an accuracy of order two in time is proposed for timeperiodic solutions of a nonlinear parabolic equation with time delay. The existence and unique of periodic solutions were verified. The computational algorithms were provided for the periodic solutions, and the convergence of the discrete scheme was discussed. The numerical results demonstrate the advantages of the method.

A food chain system with biocontrol and ratio functional response was investigated. By means of the prolongation theorem of coincidence degree Theory, the existence of the periodic solutions of the system was proved, a set of sufficient conditions to guarantee the existence of the positive periodic solutions of the system were obtained.

The authors presented a structural damage identification method based on generalized flexibility matrix. The generalized flexibility matrix is first introduced and then used to detect the structural damage. Finally, a numerical example of a cantilever beam is used to illustrate the effectiveness of the proposed method.

Using the idea of convexificators, we proposed constraint qualifications and studied the existence and boundedness of the Kuhn\|Tucker multipliers for a nonsmooth multiobjective optimization problem withinequality constraints and an arbitrary set constraint. We showed that in locally weak efficient solutions where the objective and constraint functions are locally Lipschitz, the constraint qualifications are necessary andsufficient conditions for the Kuhn\|Tucker multiplier sets to be nonempty and bounded.

The authors gave sufficient optimality conditions for multiobjective programming under generalized B-vexity and B-invexity as
sumptions, and proved that when the objective function is B-pseudoconvex, B-quasiconvex, B-invariant pseudoconvex, or B-invariant quasiconvex, the conclusion is still held.

The authors investigated the periodic solution of (2k)thorder volterra delay functional equations in the space L²(0,2π). Some results on existence and uniqueness of periodic solution were obtained via Schauder fixedpoint theorem and Fourier method.

By means of a simple forming technique, the authors proved that there exists an interval continuous selfmap of finite type for any s∈(0,1), such that the Hausdorff dimension of its nonwandering set is s.

A multiobjective incremental heuristic search algorithm which combines heuristic search with incremental search is put forward. When the state space of the multiobjective problem changes, the algorithm will not resolve the new problem from scratch, but reuse the parts of the information of the previous search to find the set of optimal solutions of the new problem and thus
 the efficiency of resolution is improved. The experiment results of the Gridworld benchmark problem show that the algorithm can solve a series of similar multiobjective problems very efficiently when the state space changes continuously.

he authors presented a new evolutionary algorithm based on the combination of the evolutionary theory and quantum statistical mechanics. The whole evolutionary system is regarded as a quantum statistical system, where quantum coding is adopted to express chromosomes, and superposition of quantum bits is used to simulate the linear superposition state of the system. Quantum system entropy and statistical energy are defined by analogy with corresponding concepts in quantum statistical mechanics. And the competition between the quantum statistical energy and entropy of the system is used to simulate the conflict between selection pressure and diversity of population, which helps the algorithm to keep a delicate balance between these two issues, and obtain optimal solution rapidly. Numerical experiments show that this new algorithm has a high efficiency and strong ability to get global optimal solution.

On the basis of the property of dental film and the characteristics of ridgelet transform maintaining linear structures this paper presents an edge detection method based on ridgelet transform.  The Radon transform connects the Gaussian wavelet and ridgelet. By means of this method one can obtain the continuous edge from the root canal image accurately by comparison the gray level mean in the ridgelet domain.  The experimental results show the method can denoise greatly, determine the location accurately and benefit the diagnosis and treatment.

A subtopicfield segmentation technique based on the optimal control model was proposed, the object function of the optimal control model was constructed by the withinsubtopicfield distance, the betweensubtopicfield distance, the withinsubtopicfield angle and the betweensubtopicfield angle. By solving the optimal control model, optimal subtopicfield segmentation is obtained. The method independent of specific application is a global optimal method. The experiments show that this method is better than other methods in applicability, F1 measure and Window Diff measure.

An improved method for hierarchical modelbased diagnosis is proposed based on the work of Chittaro and Ranon. Two abstract processes are achieved simultaneously according to hierarchical representation and abstract condition when a new abstract level is derived. One is a fixed abstract process and the other is an automatic process. The computational complexity for modelbased diagnosis is further decreased by means of the method. Additional levels are minimized and the number of a diagnosis problem is reduced on the premise of  the equal candidate space of the most final abstract level. Furthermore, the final diagnosis can be derived by the refined process at level l(l>0) with out detailing each abstract level until the original level in any case. Finally, experimental results show that the efficiency of our algorithm is better than other algorithms for modelbased hierarchical diagnosis.

Aiming at the poor security of traditional methods for keyexchange, we proposed a new method for keyexchange: the keyexchange based on hiddenbases. The bases selected by both parties are hidden by making use of ergodic matrix over finite field. Thus, this method realizes exchangeoperation and the keyexchange based on hiddenbases ultimately. Both the parties can do keyexchange on a relatively larger scale by making use of the protocol. Through the safety analysis of exchangeoperation, we found that the protocol can resist brute attack, and it is also of high security and strong practicability.

On the basis of the analysis of the process of dealing with the Chinese word segmentation ambiguity, this paper covers bidirectional sc
an word segmentation algorithm based on the context. In order to improve the word segmentation dictionary, the authors put the fixed phrase into the dictionary and discussed the feature selection and the weighting schema enactment in detail. In order to solve the problem of general TFIDF weighting schema at present, we took statistics into consideration, and meanwhile put up the itemscoring method which improves the efficiency of the feature item about text categorization. At last we proved the advantage of the improved weighting schema through test.

In view of the problem of major hazards identification in emergency response domain, we proposed a new identification model, Bayesian based major hazards identification model. First the model was constructed with the aid of known knowledge, then major hazards were identified according to the constructed model via probability. We applied this model to chemical production area and forest fire prevention area respectively, obtaining the results reasonable. Practice shows this way is effective.

Two methods for initialization of cluster centers were presented, one is supervised method; the other is the method based on kNN partition. An improved algorithm based on fuzzy Cmeans, a traditional clustering algorithm was finished, which was used to complete the data classification first. And several standard datasets from UCI were tested, which shows a well classification result is found.

This paper deals with  the acoustic band gaps in periodic composite materials, and gives out a new attenuation mechanism. Using the modified reflection and transmission matrices method, we considered the periodically stratified porous media as 1D phononic crystal, investigated the band gap properties of plane P\|waves propagation. It is shown that there is a series of stop bands when the characteristic P\|wave velocities of the two media are different and the stop band frequencies satisfy that lattice thickness is integer multiples of average P\|wave half\|wavelength. The bandwidth and attenuation of the low\|frequency stop band correspond to the difference of velocity. And with the same velocity difference, they are much greater when the difference is caused by porosity variations and partial saturation, compared with grain\| and frame\|parameter variations. When the lattice thickness is in the magnitude of meters or decades meters, the low\|frequency stop band is within the seismic band of frequencies. 

We utilized sol\|gel method to synthesize rutile TiO₂ directly from NH₃·H₂O and Ti(SO₄)2 at 70 ℃ temperature. According to the XRD, TEM, Raman results of the sample  contains single rutile TiO₂ structure. The size of the nanoparticals is approximately 20 nm. Rutile TiO₂ particles have far better photodegradation efficiency on rhodamine B dyes  than rutile TiO₂ particles obtained by thermal treatment, but a little lower photodegradation efficiency than P25 TiO₂ particles do.

We got synthetic diamond crystal through atalytic nitriding via catalyzer Co of 99.99％ purity and synthesizing with Graphite SK₂ after pickling. Meanwhile, the effect of nitrogen impurity on the properties of the synthetic diamond was studied by using the ESR spectrometry and spectrography. The result shows that the proportion of paramagnetic nitrogen scaled\|up with  total nitrogen content increasing, in addition, the diamond became fragile and the compressive strength decreased with the color changing from yellow to green.

The authors analyzed the principle of directional coupling electro-optical switch based on coupled\|mode theory, and discussed the effect of multiple electrode structure on the performance of the switch. The general expression of transmission matrix was given through theoretical analysis. 

Li［Co_xLi _{1/3-x/3}Mn_2/3-2x/3］O₂(x=0.1,0.2,0.3,0.4,0.5) cathode materials were synthesized by means of the citric acid\|based sol\|gel method. Their structures and electrochemical properties were investigated via  XRD, Raman, FTIR and electrochemical charge\|discharge cycling. The results show  that the material with x=0.5 exhibited the highest reversible capacity and the best capacity retention.  

The reactions of seven carbon tethered internal alkynyl cyclopropanol silyl ethers under the catalyzation of cationic gold or silver af
forded the corresponding α,βunsaturated enone with the highest yield of 78%. The structures of these compounds were identified by IR, ¹ H NMR, ¹³C NMR spectra. The mechanism of cycloreaction was also dicussed.

With 1,8-diazabicyclo［5.4.0］undec7ene (DBU) as catalyst, tetratertbutyl-2,3-naphthalocyaninanickel (TBNPcNi) was synthesized by means of liquid synthesis method. A frequencydoubled Q switched Nd ∶[KG-*3]YAG laser system with ns/ps laser pulse was used for studying nonlinear and optical limiting properties of the synthesized compound at a wavelength of 532 nm. The
 nonlinear refracting index, n₂ and thirdorder nonlinear polarizability, χ⁽³⁾ were 2.07×10^-11  and 7.57×10^-12 , respectively, which are obviously higher than the values of metallic phthalocyanine. The compound shows excellent nonlinear optical limiting performance. When the visible light transmittance is 72%, the limiting threshold value is 1 722 mJ/cm2, the clamp value is 700 mJ/cm2, the ratio of absorption sectional areas of effective excited state and ground state is 4.48.

The electrochemical behavior of the corrosion inhibition performance of an inhibitor containing octadecylamine (ODA) to carbon steel was studied. The corrosion resistance of a mild steel tube treated by the inhibitor was improved. The effect of film formation in vapour phase is better than that in liquid phase. As the surface roughness increased, the resistance turned lower. The optimum temperature was around 220 ℃ in a range of 0～260 ℃. As the inhibitor’s concentration increased the specimen’s resistance was getting high, but the resistance remained unchanging when the inhibitor’s concentration got more than 25 mg/L.

The mutant strain N3-10 mutagenized by Corynebacterium pekinense AS1.299 as starting strain was screened with the flat plate which con
tained leucine, norleucine or ethionine in turn to obtain high yield methioninemutant strains L3,LN7 or E31.Determined inhibiting concentration of leucine to mutant strain N3-10 was 8 g/L, the inhibiting concentration of norleucine to mutant strain L3 was 3 g/L, the inhibiting concentration of ethionine to mutant strain LN7 was 3 g/L. After UV mutagenesis and screening by three methionine analogues, the obtained E31 mutant strain resistant to ethionine can generate methionine 1.479 g/L, which is higher by 0.379 g/L compared with N3-10 prototroph strain generated methionine after fermentation. It was shown that go down to 5th posterity had good genetic stability.

The partial nucleotide sequences of 18S ribosomal RNA gene were amplified and determined for M.anguillicaudatus and M.albus
 by PCR with four pairs of specific primers we designed. The 18S rRNA sequences of the two species are identical in length, and its length is 1 204 bp (They were deposited in the GenBank database under the  accession Nos.EU120032 and EU120033, respectively). The GC content of 18S rRNA gene of M.anguillicaudatus was 53.74%, and the GC skew of that gene of M.albus was 0.082. Only four nucleotide substitutions were observed, accounting for 9967% identity between the two 18S rRNA sequences, whereas several changes were found in 18S rRNA sequences by  comparison with homologues of  S.salar (982% identity). The sequences of 18S rRNA gene were compared with those of four mitochondrial genes (12S rRNA, 16S rRNA, Cyt b and Dloop) in M.anguillicaudatus, M.albus and S.salar. We found that 18S rRNA gene was more conserved than other four genes within three species, and the evolutionary rate of the Dloop gene was the highest in five genes. The same DNA sequences of 4 other fishes and 11 chordate species were retrieved from GenBank, respectively. The phylogenetic trees (including three trees in fact) for 6 sequences of fishes were derived using 18S rRNA gene and three different analytical approaches: neighbourjoining (NJ), maximum parsimony (MP), and maximum likelihood (ML), and B.lanceolatum （AY428817）was used for the outgroup species. Another phylogenetic trees (including NJ, MP, and ML trees) for 13 animals belonging to Chordata were developed using the same gene
 and methods. The phylogenetic analyses results strongly supported a sister group relationship for the cartilaginous fishes and bony fishes, and favored a fishes + tetrapods clade with high bootstap support values （≥92%）. In addition, a kind of potential bias involving GC content of 18S rRNAs was discussed in metazoans.

The authors constructed the simulation system of heavy metals’ distribution in the coexistence system of solid phases (including the biofilm, the sediment, the suspended solid) in the aquatic environment, and studied the redistribution behavior of Pb,Cd,Cu caused by pH value change in the coexstence system. The result shows that the pH value change of the balanced system could markedly affect the distributing characteristics of these three heavy metals in the solid phases, which enabled the heavy metals to redistribute in system. The redistributing processes were all composed of an initial rapid adsorptiondesorption stage and a stage slowly closing to balance, which could be described via the Langmuir adsorptiondesorption kinetic equation. The research also indicated that the changing characteristics of Cd differed from those of Pb and Cu on pH value decreasing, and the changing characteristics of Pb displayed difference from those of Cd and Cu on pH value increasing.