With Bspline surfaces with single interior knots as an example, an algorithm and some examples of constructing local scheme on bi quartic Bspline surfaces with single interior knots are presented by taking the advantages of the continuity restriction between surfaces and blending functions. The novel G¹ and G² continuousconditions of Bspline surfaces are obtained. By means of releasing the restriction on the blending functions, the degree of the freedom of the common boundary is increased. The local scheme of G¹ continuity can be carried to biquartic Bspline surfaces with single interior knots while the local scheme of G² continuity can be carried to bieightpowerBspline surfaces.

We considered the multisymplectic Hamilton system for the linear Boussinesq equations. We applied Runge Kutta Nystrom methods to discreting the multisymplectic scheme, and obtained the discrete multisymplectic conservation law. Then we constructed a new scheme which is equivalent to the RungeKutta Nystrom integral, and derived its stability condition. Finally we presented some numerical experiments which illustrate the validity of the scheme.

With the probability inequality obtained in empirical processes and nature of the Euler weighting coefficients,the Euler summability of a sequence of random elements independent and identically distributed in empirical processes was investigated. The sufficient condition is obtained for the Euler strong law of large numbers in empirical processes. Under identical conditions, the Euler weak law of large numbers in empirical processes was spread to the situation of strong convergence.

Let (X,d)be a compact metric space, f: X→X a continuous map, and (K(X),H) a compact metric space consisting of all nonempty compact subsets of X. It has been proved that the topological ergodicity of setvalued map is equivalent to the topological double ergodicityof f by studying the relation between the motion of points and the motion of sets; moreover, a compactsystem has been constructed which has zero topological entropy and no chaotic property, but the inducedset valued map of which has infinite to pological entropy and distributional chaos, this implies that the topological complexity of could be far greater than that of f.

Let J^r_n,k denote the set of ndimensional cobordism class containing a representative Mⁿ admitting a (Z₂)^kaction with fixed point set of constant codimension r. J^r_*,k is an idea of the unoriented cobordism ring MO_*. In this paper, special generators of MO_* are constructed to prove that consists of all classes of dimension greater than 2^k+2^l and the decomposables of dimension 2^k+2^l in which each factor of monomials has dimension less than 2^k.

We investigated the kneading sequence of Feigenbaum’s map, definited the notion about * productfor finite sequence of 0~1, and proved via the properties of * product that such infinite sequences must be uniformly almost periodic points of the shift map in the symbolic space. Furthermore, we deduced that the kneading sequence for every porder Feigenbaum’s map is a uniformly almost periodic point of the shift map but not a periodic one.

We study a warm standby system with two 3state units by theory of Markov renewal processes and technique of regeneration points, established linear equations of semiMarkovian kernel, obtained MTTFF and steady state availability of the system.

The paper discusses a general “foodlimited” species model with random perturbation. It first proves that the solution of the model is positive and global. Thus we can make the change of logarithm variable and show the existence and uniqueness of positive solutions of the model by applying stochastic differential equation theories. Compared with the original determinate species model, the presence of such an environmental noise doesn’t affect the results we have obtained.

We studied the bifurcation of equilibria of a planar piecewise smooth system when the discontinuity and the equilibria interact on each other. We also gave the bifurcation graph of the number and positions of the equilibria with respect to parameters.

In locally convex linear topological spaces, the ε-super efficient solution for vector optimization with setvalued maps was int roduced. Under the assumption of the ic-cone-convexlikeness of setvalued maps, by applying separation theorem for convex sets, the scalarization theorems were established. By using the alternativetheorem, the ε-Lagrange multiplier theorems were derived.

The minimal degree Newton basis for Lagrange interpolation on a lower subset of a tensor product grid that is proposed by Gasca and Sauer was extended to a tower subset of the grid. At first, we solved the bivariate cases. Furthermore, we extended the notion of a 2dimensional tower set to arbitrary high dimensionsand then gave the minimal degree Newton basis for trivariate Lagrange interpolation on a tower set as an example. Finally, we introduced a fast algorithm for constructing the reduced Grbner basis for the vanishingideal of a 3dimensional tower set.

A nonlinear partial differential equation model based on nonlocal information was proposed to removenoise and preserve the edges. Nonlocal gradient is introduced to detect the edges and adjust the speed of the diffusion inside and outside the smooth region. Oneside scheme is taken for calculating the nonlocal gradient norm to preserve edge information in discret situation. Theorical analysis and numerical results demonstratethe performance of the new method.

An explicit formula of the structure topological inclined support change was presented via MoorePenrose inverse theory and the partition of the unit stiffness matrix. For the structure with an inclined support added, a static response formula was given. Its advantage is that it is not needed to resolve a set of linear equations reiteratively when the static response is computed; instead, the calculation of the static response can be completed by means of the structure topological change, which saves a mount of computing time.

The present paper deals with the MLE of poisson distribution under typeII censoring by using Jensen inequality and slutsky theorem. The asymptotic normality and its strong consistency were proved, and the further asymptotic properties of estimation were given.

A kind of boundary value problems of ordinary differential equations was solved with Legendre wavelets method. The result of numerical experiment show that this method has a good degree of accuracy and can be used in computing of science and engineering.

We proposed a realtime method to diagnose dynamic systems with model checking. This method utilizes the efficiency of verification of model checking on a large state space to diagnose. It enhances real time diagnosis in AI region. We built a platform based model checking to integrate modeling, testing diagnosability and performing diagnosis, the result proves that our method is feasible.

In the present paper is proposesd an incremental index structure used in web search engine in orderto deal with the high update frequency of the web pages crawled by domainspecific crawler. In the inverted index structure, the posting list of each term is partitioned into linked blocks, whose sizes form an arithmeticalseries. The incremental index structure resolves the problem of document update, which is expensive in inverted index of continuous storage, and experimental results show that it provides much higher retrieval efficiency than naive linked list structure, which also supports realtime update. The spacefortime approach effectively raises the update rate of index.

In the light of result returned currently by generalpurpose search engines being excessive, and having no strong similarity with the topic, this paper covers a technique of dividing the web page to chunks to implement a focused crawler. With this method, Crawler1, a prototype of a focused crawler has been realized. Experimental results indicate that Crawler1 has better performance. The number of topic web pages crawled by Crawler1 attains more than 55%.

A new multiattribute negotiation strategy is described in this paper. In this strategy, negotiation agendais the combination of exogenous agenda and endogenous agenda. Exogenous agenda uses nstep agenda method, and endogenous agenda uses partial acceptance strategy. Partial acceptance strategy can generate local deal. When local deal changes to global deal, negotiation procedure completes. When there are some attributes which can not be agreed on, then negotiation procedure fails. Negotiation procedure under this strategycan obtain balanceable and pareto optimal results, whose time complexity is lower.

Aiming at complexity and initiative of exception handling, this thesis puts forward a rather flexible framework in which the problem of workflow expected exception handling can be adequately addressed via analyzingthe problems of exception in workflow systems and the requirements of the functionality of exception handling. This thesis presents a solution for implem enting more reliable processes by the application of exceptionhandling.

A new hand vein recognition method was presented based on Bandelet transformation. By this method, feature points in the vein image can be extracted by Bandelet transform, which form the feature vectors for token vein texture features. The similarity is obtained by calculating the correlation coefficient betweenthe feature vectors of tested sample and target sample. We tested the method using the sample database built up by self-made collection device and the experimental results were given.

This paper introduces the design method of the four-order state variable filter with the particle swarm optimization and genetic algor ithm. The evolution results were emulated via Pspice, and the actual electric circuit was tested. The statistical data were compared, the results indicate that the important indexes of average convergence generation and average convergence time are much better in particle swarm optimization than those in basic genetic algorithms.

On purpose to improve metric Graphplan’s capability that captures the detail information in the real world, a fuzzy component model was constructed which was defined by preference and priority merbership functions, and fuzzy components were incorporated into metric graphplan by adding preference and priority fields in problem expression. For viewing the process of searching for a plan as a constraint satisfaction problem, we used incremental local change algorithm to improve the efficiency of problem resolving. The algorithmmostly reused the previous problem resolving results that could avoid much repeat, and support a theoretical foundation to develop efficiency metric planner.

Two implemented versions for the same business process were analyzed and compared to each other, and the advantages and disadvantages in defining business processes with BPDLs were concluded. The result shows that although the efficiency of the activity flow developed by BPDLs is not better than that developed by a traditional method, BPDLs are more convenient to develop and modify the activity flow than traditional methods, and the efficiency of the BPDL process is improved as the BPDL execution engine gets more mature.

An attendance system was designed based on the ADI Blackfin digital signal processors. It summarizesthe code porting methods under the limited resource for embedded system, which resolves the problem to convert C++ to C language; it modifies the linker description files to reconfigure the memory map, which resolves the conflict between the large numbers of data and the limited resource. The test shows the porting results are correct, and the executing speed meets the requirements of application.

A sol-gel method was used for synthesizing Y³⁺-doped BaCeO₃ solid electrolyte BaCe_0.75Y_0.25O_3-δ. TG-DTA and sintering curves show that the sintering temperature for the sample is about 1 080 ℃. The X-ray diffraction analysis shows that the sample sintered at 1450 ℃ in air for 10 h was crystallized in a single perovskite phase. The result of the single cell H₂(wet),Ag｜BCY1450｜Ag,Air(dry),Air(dry) testing is that the single cells based on BCY1450 electrolyte have higher open voltage values within the range of intermedium-temperatures.

Co-doped NiO inhomogeneous films were synthesized by sputtering metallic Co chips and NiO togetherand the exchange bias of Co-doped NiO/FeNi bilayers was investigated. When Co content was up to 25.2％, the exchange bias field H_E of Co-doped NiO/FeNi bilayer at room temperature increased to the maximumwhich was about three times that of the undoped-bilayer. Analysis suggests that the nanometer-sized Co-metal clusters enchased in NiO matrix played an important role in the change of magnetic behavior for the bilayers.

Calculations have been made for the configurations of single-walled carbon nanotubes containing substitutional nitrogen impurity atoms with ab initio density functional theory. It has been found that N-doped zigzag single-walled carbon nanotubes are more stable than N-doped armchair carbon nanotubes. When more nitrogen atoms are incorporated into single-walled carbon nanotubes, the change of the structure along the tube longitude is greater than that along the tube axis. And we also have studied the bond structures for N-doped single-walled carbon nanotubes in detail.

Using a home-made multi-function preparation system of microarc oxidation coatings, the surface of TC4 titanium alloy substrate was treated in an electrolytic solution of Na₂CO₃ and Na₂SiO₃. SEM and XRD were employed to characterize the growth kinetics, surface morphology and phase component of the coatings fabricated at different treatment frequencies. The result shows that the growth rate of the coating is dependent on the treatment frequency. When the frequency is less than 2 000 Hz, the growth rate of the coating decreases sharply with the increase of the frequency, but it decreases slowly with the increase of the frequency in a range of 2 000~4 000 Hz, while the frequency is greater than 4 000 Hz, it keeps almost invariable with the increase of treating frequency. The coating surface is porous, with the treating frequency increasing, the roughness and micropore size of the coating surface decrease gradually, and the pore density increases gradually. The coatings consist of plentiful rutile and anatase phases and a small quantity of unsaturated oxide (TiO_2-x, 0.02＜x＜0.07). The relative content of rutile and anatase keeps invariable with the variation of the treating frequency, while the content of TiO_2-x in the coatings fabricated at a frequency less than 2 000 Hz is more than that fabricated at a frequency greater than 2 000 Hz.

The effects of the lanthanon ions （Y³⁺andTm³⁺） on the electrooxidation of methanol were studied with cyclic voltammetry, smooth platinum was used as research electrode. The results show that Y³⁺andTm³⁺ show the better catalysis, they could improve the anodic oxidation peak current of methanol to a great extent, which was increased separately by 120.10% and 158.33% at best. The catalyses of the lanthanon ions to the electrooxidation of methanol was analyzed that were relative to the electronic distri bution of the Y and Tm atomsand their adsorption on the Pt electrode surface.

A new salicylidene derivative with cholesterol moieties was designed and synthesized. It was found that it could selfassemble into transparent organogels in benzene, CCl₄, butyl acetate and DMF. The TEM and SEM images reveal that lots of nanofibers crosslinked into 3D networks, which could prevent the flow of the solvents. The UV-vis absorption spectra illustrate th at salicylidene units self-assembled into H-aggregation via π-π interaction.

The TiO2/zeolite doped with each of rare earth ions La³⁺,Nd³⁺,Yb³⁺ was prepared from tetrabutyl titanate and rare earth oxide by solgel process. The samples were characterized by XRD and IR. The effects of different zeolite sizes and doping amounts (mass fraction) of rare earth oxide on the photocatalytic degradation of pesticides dichlorvos were in vestigated. The results show that the optimum size was 0.15 nm; the optimumdoping amount of La³⁺ in TiO₂/zeolite was 3.0%. The photocatalytic degradation of TiO₂/zeolite can be improved greatly by doping rare earth ions.

Lithium metaborate melting technology was used to make the quick analysis flow sheets of rock samples by Inductively Coupled Plasma Atoms Emission Spectrometry (ICP-AES). Three tests were carried out to investigate the relationships between the dipping time of the fusant and one of the three following conditions in the experiments: mixing method of the fluxing agent and the sample, the chap condition of melting and the dipping condition. The data of constant element and microcontent element tested in the same solution are accurate, reliable, under suitable melting and dipping experiment conditions.

To investigate whether or not aconitine metabolism is affect by sexual distinction, aconitine and its five metabolites were separated from the urine of female and male rabbits and identified after aconitine poisoning by means of liquid chromatographyelectrospray ion trapmass spectrometry (LC-ESI-MS) which is useful in identifying aconitine poisoning in forensic medicine.

Dutasteride, a new kind of antibenign prostatic hyperplasia drug, 17-β-N(2,5-bis(trifluoromethyl)) phenylcarbamoyl-4-aza-5-α-androst-1-en-3-one, was synthesized by employing amidation and DDQ/BSTFA oxidation as a pivotal step from the starting material 3-oxo-4-androstene-17-β-carboxylic acid. The total yield of dutasteride synthesi zed was 23%. The structures of the target molecule and the key intermediates were confirmed by IR,¹H NMR, ¹³C NMR and MS. The route does not require high pressure and high temperature that may be applied to industrial production.

At a low temperature (≤9 ℃), comparison experiments of 12 original strains of degrading organic pollutants were made in the laboratory. Three strains which can degrade BHC effectively were screened out, moreover, the optimal degradation conditions of the three strains were got though the orthog onal experiments. Furthermore, under the same degradation conditions (pH=65, 0.8 g/L NH ₄Cl, 0.6 g/L KH₂PO₄), degradation experiments were carried out by mixing the three strains, which were domesticated, in C²₃ and C³₃ ways, and the result shows that the C³₃ mixed strains had higher degradation rate of BHC than each of the three strains and the C²₃ mixed strains. The highest degradation rate was got when the incubation amounts of 1st stain, 2nd stain an d 3rd were at the ratio of 1 ∶5 ∶3, which was 63.27%.

Based on the water environmental quality analysis of Songhuajiang Rivers in Jilin Province, the water management model is developed, which meets the standards of water environmental functions in different river sections, by integrating point sources with nonpoint sources, introducing response coefficient and optimal theory. Three optimal management schemes have been proposed. The first one requires point source wastewater and the pollutants of municipal wastewater treatment plants are up to the standard prior to discharge. The second one controls the nonpoint source pollutant concentrations. The last one distributes optimally  point sources effluents under the unchange of the total pollution discharge.