This paper provides a theory and a method of constructing multivariable non-tensor product biorthogonal wavelets from existing univariable wavelets via direction integral so that the perfect properties of excellent univariable wavelets can be retained.None of the wavlets constructed in this paper is based on Box spline since neither the scaling function nor the dual scaling function constructed in this paper by direction integral is a Box spline.

The concept of local α-bi-diagonal dominant matrix is introduced and some necessary and sufficient conditions are given for identifying generalized strict diagonal dominant matrix，thus the corresponding known results are improved and generalized.As an application，we obtain a new distribution theorem about the eigenvalue.

We have discovered the relationship between classical heavy-tailed class D of random variables and heavy-tailed class ERV which can be more easily dealt with，and we have obtained the accurate large deviation conclusion about random sums of heavy-tailed random variables that belongs to the class D. As to the random sums when summands’distribution functions are heavier than λ·e^-c , we have got similar conclusions.

This paper deals with a class of singular perturbation nonlinear boundary value problems arising from general Riemann problem.The existence，unique and the form of the solution of the problem by means of transforming the problem into a two-point boundary value problem and its solution.

By means of estimating the weight function and introducing the Beta function，and using the technical of real analysis，a new Hilbert-type integral inequality with a parameter and a best constant factor is established，and two best generalized forms of it and the corresponding equivalent forms are given.

The present paper shows that the integral equation with which the price of underlying assets meets can be written as a regression model，on the basis of the weighted local linear estimator of the regression function is established in the regression model.The estimator of the sample of the drift coefficient depending on the adapatation of the estimator of the regression function is also constructed.The average squared convergence property of the estimator of the sample is also proved so as to make it possible that we can use the estimator of the sample to construct the estimator of the drift coefficient.

On the basis of three different gradient models which are polynomial function，fraction power function and exponent function respectively，we simulated the nonlinear characteristics of distribution of physical properties of the across the thickness of piezoelectric functionally graded material by means of analytic theory and obtained the in-plane stress and out-of-plane displacement by the modified classical lamination theory.

By using the algorithm of B-spline surface representation，initial B-spline surface control lattice was constructed to approach scattered data sets at first，on the basis of which the bounding box was designed to search locally and to detect the error，and to transfer finding problem into computing problem.To deal with small elements via element condensation，the regional numbers of the exceeding errors are reduced and surface is optimized in the region of the exceeding errors，then surface reconstruction and its optimization are realized from coarse to fine.The algorithm is modified in the error detection and regional processing so that the searching is more quick and computing is simplified. Thus the speed has been quickened and the computing is much easier.It is also proved that the computing is easy and feasible to make，and the approximating effect is quite good.

The present paper presents an uniformly valid asymptotic expansion for a class of singular perturbation boundary value problems via the renormalization group method.In contrast to the conventional methods，the renormalization group approach requires neither ad hoc assumpations about the structure of perturbation series nor the use of asymptotic matching，therefore this method is more useful than the conventional methods.

A Be-B decision model is proposed and the calculation of the expected value of sampling information (EVSI) for linear decision problem on two actions under the model mentioned above is discussed.By calculating the posterior distribution of the parameter，the choosing criteria about the best posterior actions is established and the best decision function is obtained.Finally，the counting formula of EVSI is given.

Let G be a graph of order n，and let a，b，k be integers with 1≤a Related Articles | Metrics

The present paper deals with the optimal conditions of a nonsmooth optimization without constraints defined in a real Banach space by means of Penot generalized directional derivative and Clarke generalized gradient and presents a second order sufficient condition for obtaining strict local minimers by means of nonsmooth optimization.

Online handwritten signature recognition is the technology by which the identity is verified via person’s biological characteristic.This paper puts forward a recognition algorithm based on stroke sample database，which prevents the questions of picking-up dynamic characteristic method and matching time sequence section method etc due to writing environment and person’s instant physiological characteristic. At the same time this paper puts forward a weighted distance calculation formula based on weighting to the stability of every stroke.The experiment has proved that this method is effectual.This method reduces the false reject rate （FRR）while guaranteeing high recognition rate.

A method was proposed by which the object is rendered by using the points directly if the normal of points is known and there needs no mesh at all.A technique was also proposed to solve the problem of ‘gaps’ appearing on object’s picture caused by the lack of points during rendering by increasing the local density of the points. Furthermore，we simulated the drawing skill used by painters to improve the visual effect of the picture.

A new evolutionary programming method known as population heuristic evolutionary programming （PHEP）was proposed in this paper.The information of distribution-status of population can be known by controlling four parameters of population in the evolution process and the mutation size of individuals can be adjusted according to such information，so as to overcome the deficiency of traditional EP, which updates the mutation size blindly.PHEP was tested by using benchmark functions under high-dimension condition，the experimental results show that the performance of PHEP is better than that of other EP method obviously under high-dimension condition.

Based on a quadratic measurement error model，an efficient computational method for estimating the fundamental matrix is presented.At first，to improve the numerical stability，the matching point pairs in each image are normalized via translation and scale regulation，then the Golden Section method is used to complete minimization of a non-smooth function and to determine the level of noise, and the fundamental matrix is then achieved.Numerical experimental results show the effectiveness of the proposed method.

Based on the flexibility and safety analyzed for the distributed N-tier case library，some key techniques，such as mechanism of agent，Java mid-ware，UG/Open API and browser of cased library，were used to implement a universal case library system. Case can be easily browsed，edited and managed in the system，which is conductive to search，redirect or manage the die design.

Electronic structure of multiwalled carbon nanotubes have been investigated as a function of the intershell coupling effect.The tight-binding model was employed.Theoretically，the intershell coupling makes energy bands of multiwalled carbon nanotubes split and the degeneracies in the energy bands reduced，and the bandgaps of multiwalled carbon nanotubes decreased.The small bandgaps of multiwalled carbon nanotubes ensure the presence of a vibrational manifold in the optical region for each shell so as to minimize optical emission.

This paper covers organic electrophosphorescent light-emitting diodes with organic phosphorescent compound （PPQ）₂Ir（acac）as dopant and rare-earth complex Tb（eb-PMIP）₃（TPPO）as host.The devices were fabricated via vacuum evaporation with indium-tin-oxide as an anode and LiF/Al as a cathode.A red light with a peak at 615nm was observed，the characteristic emission from the triplet state of （PPQ）₂Ir（acac）.A maximum emissive efficiency of 3.14cd/A was obtained by optimizing device structure and the dopant content.The experimental results demonstrate that rare-earth complexes with wider band gap ligands may be promising materials as host in highly stable organic electrophosphorescent light-emitting diodes.

A semiconductor cooling and wind cooling system was used to control the temperature of a high power semiconductor laser.The working temperature of the semiconductor laser can be kept below 45℃ and the error of the temperature controlled is ±0.1℃.The system worked normal within the room temperature.The output power can reach to 15.28W under above conditions.

The ceramic coatings on the Al-alloy substrate have been synthesized by means of microarc oxidation (MAO) technique. Effects of the unipolar pulse current density on the mechanical and chemical properties of the coatings have been studied via XRD, SEM, EDS, and microhardness test. The samples fabricated at high current densities consist mainly of α-Al₂O₃ phase, while the samples fabricated at low current densities are almost completely composed of γ-Al₂O₃. The content analysis on the cross-section of the coating indicates that the ratio of α-Al₂O₃ content to γ-Al₂O₃ content shows complicated changes with the variation of the film depth, which is different from the results reported from other literatures.

The powders of cathode material La_0.7Sr_0.3Co_1-xCu_xO_3-δ for intermediate temperature solid oxide fuel cell（IT-SOFC）were prepared with the solid reaction method.The crystal structure，high temperature conductivity and thermal expansion curve of these samples were characteristiced and a selected sample was tested in the single cell.The results show that the thermal expansion coefficients of （La，Sr）CoO₃ are decreased by Cu doping，while the conductivity at x= 0.05 is higher than that of the one without Cu.A single fuel cell with La_0.7Sr_0.3Co_0.95Cu _0.05O _3-δ as the cathode and Ce_0.8Sm_0.2O_1.9 as the electrolyte was tested，the maximum current density was 511mA/cm²，and the maximum power density was 0.106W/cm² at 850℃.

Effects of pH value on the sorption and diffusion of Eu(Ⅲ) in compacted benton ite were studied with the capillary method. The results suggest that diffusion of Eu(Ⅲ) in compacted bentonite decreases with increasing pH value. The sorption of Eu(Ⅲ) increases with increasing pH value. The intensity of the compacted bentonite, i.e., the interlaminary space of compacted bentonite, significantly contributes to the diffusion and sorption of radionuclides in compacted bentonite. The results fit the Ficks second law very well.

The solid-state reaction method was used to prepare the perovskite oxide SmCoO₃.The structure and properties of the samples have been investigated by XRD，Raman spectral techniques and DC measurements and so on.The XRD and Raman spectra show that the mixtures of Co₂O₃ and Sm₂O₃ can form a single-phase perovskite oxide SmCoO₃ by solid-state reaction around 1353K.The clearly observed band in the room temperature Raman spectra of single-phase SmCoO₃ is at 140~175cm^-1,，which is assigned to the stretching of Sm—O and the winding of O—Sm—O.The single-phase SmCoO₃is an insulator below 600K，and the conductivity is enhanced obviously with temperature increasing above 600K.This may be explained by the fact that an insulator to semiconductor transition occurs around 470K.The thermal expansion coefficient（2.17×10^-5,K^-1,）of the single-phase SmCoO₃is approximately equal to that of doped LaGaO₃，but bigger than that of SDC（Ce_0.85Sm_0.15O₂）above 873K.

Hyperbranched poly（ether ether ketone）were prepared by polymerization of hydroquinone（A₂）and 1，3，5-tris[4-（4-fluorobenzoyl）phenoxy]benzene（B₃）.The gelatin formation of hyperbranched poly（ether ether ketone）was effectively avoided.Hydroxyl-terminated （HPEEK-OH）and fluoro-terminated （HPEEK-F）hyperbranched poly（ether ether ketone）were prepared from the mixture of hydroquinone （A₂）and 1，3，5-tris-[4-（4-fluorobenzoyl）phenoxy]benzene （B₃）with different A₂/B₃mass ratios.The structure of B₃ monomer was confirmed by mean of MS，¹H NMR，IR.The glass transition temperatures of HPEEK-F and HPEEK-OH are 114℃ and 162℃ respectively.Thermal stability of HPEEK-F is higher than that of HPEEK-OH．

We used high temperature solid state reaction method for synthesizing Y³⁺-doped BaCeO₃ solid electrolyte BaCe_1-xY_xO_3-δ (x=0.10~0.30). X-ray diffraction analysis shows that the samples crystallized in a perovskite phase. The non-linear relationship between proton conductivity and Y3+ content of sample is closely related with the oxygen vacancy, the defect association and the solid solubility of Y.

The binding constants between human serum albumin (HSA) and each of three flavonoid compounds were determined by affinity capillary electrophoresis (ACE). The binding constants are 9.76×10⁵mol／L, 1.24×10⁶mol／L and 3.79×10⁵ mol／L for luteolin, quercetin and kaempferol, respectively. The results show that ACE is a useful method to study the interaction between drug and protein.

Bisphenol-S polyester could be used as the interfacial agent for polyethersulfone/polycarbone blends（PES/PC）.A certain amount of such bisphenol-S polyester can improve the miscibility of the two components and change the morphology of the blend，forming a co-continuous morphology.Hereby，the tensile properties，i. e.，E，σ and ε are enhanced obviously.

A modified HPLC method was used for the separation and the determination of aconitum alkaloids in medicine wine.The toxical dosages of the preparations were established on the basis of the data from the above determination.At the same time，the chemical reasons of aconitine poisoning were revealed.These reasons have provided some scientific bases for the clinical safe drug use.

Dynamic kinetic analyses were performed for the thermal decomposition of basic zinc carbonate by means of TG and SDTA measurements in CO₂. The thermal behavior and the kinetics of the decomposition were studied. The effect of heating rate on the kinetics was investigated. To estimate the activation energy of the decomposition, the Friedman isoconversional method was applied. The activation energy (E_a) was calculated as a function of conversion (α). The results confirm that more than one reaction occurs in the decomposition of basic zinc carbonate. The activation energy obtained in CO₂ atmosphere is 286.84 kJ/mol.

Acanthopanacis Senticosi Polysaccharides (ASPs) were extracted by hot water. ASPs in the filtrate were successively precipitated with alcohol. When the quantity of alcohol was equal to the volume of the ASPs filtrate, the production yield of ASPs was the highest. The yields of the fraction productions were decreasing with the increase of the quantitiy of alcohol and the total yield of ASPs was up to 0.54%. The inhibitions of the fraction productions to O₂^- and ·OH were assayed by the method of pyrogallol in the fenton system. The results show that the antioxidative effect of the fraction productions is improved with the increase of the quantity of alcohol. When the quantity of alcohol was 6 times the volume of ASPs filtrate, the elimination rate of the production to O₂^-could reach to the highest value of 47.7%. When the quantity of alcohol was 4 times the volume of ASPs filtrate, the elimination rate of the production to ·OH could reach to the highest value of 68.2%. The inhibition of ASPs to the lipid peroxidation of the erythrocyte membrane was improved with the increase of the concentration of ASPs. When the concentration of ASPs was above 0.4　g/L, ASPs could not only inhibit the lipid peroxidation but also produce some reductive effect to the erythrocyte membrane.

To study the functions of survivin gene further，three siRNA segments （S1，S2,，S3）specifically targeting survivin were selected.Accordingly RNAi plasmids pTet-U6-S1，pTet-U6-S2，pTet-U6-S3 were constructed.The changes of survivin expression were examined by semi-quantitative reverse transcription polymerase chain reaction （RT-PCR）and Western-blot analysis after the plasmids had been transfected into HeLa S3.The results show that survivin expression is inhibited at both mRNA and protein levels after the plasmid pTet-U6-S3 has been transfected,，which targets on the 3’non-encoding region of surviving.The inhibition level is much higher than that of S1 sequence reported previously.Compared with that of the control，the inhibition ratios of S1，S2，S3 to mRNA of survivin are 20%，12.5% and 40% respectively，and 39.2%，17.0% and 58.6% to its protein.And the effect of the plasmid pTet-U6-S3 on the cell apoptosis was analyzed by flow cytometry.The apoptosis of HeLa S3 cells was greatly increased after transfection for 48h.

This paper summarizes the principals and statistical elements of phylogenetic analysis. This article also illustrates how the various phylogenetic analysis methods are applied in the research of ancient DNA，and evaluates their advantages and disadvantages in actual data analysis.Moreover，the limitations of phylogenetic analyses are discussed，as well as its developmental tendency.

Pb and Cd adsorption on amorphous Fe and Mn oxides synthesized in laboratory were measured under controlled laboratory conditions.The thermodynamic characteristics of Pb and Cd adsorption on these Fe and Mn oxides were compared to those of the oxides in natural surface coatings.For the amorphous Fe oxides formed in this study，there is no significant difference between the characteristics of Pb adsorption on these oxides and on Fe oxides in the surface coatings，while the synthetic Mn oxide could be used as the surrogates for Mn oxides in natural surface coatings to predict the adsorption of Cd well.