Based on  the way of weight functions and the technique of real analysis, an extended Hilberttype integral inequality with a non-homogeneous kernel and a best constant factor was established. Its equivalent form and the reverses are considered.

This note deals with the derivations and Jordan derivations of Morita Context rings. By means of derivations and Jordan derivations of rings and additive mappings of modules, the characterizatics of derivations and Jordan derivations of Morita Context rings are presented, which extend the related results in the literature.

This paper presents an analysis of the periodic solutions of a higher dimensional network with time delay. First, using the characterisic root methods, we investigated the linear stability analysis and local existence of periodic solutions bifurcated from the trivial equilibrium. Especially, an efficient numerical method is presented to find a periodic solution and numerically determine its stability by the computation of the dominant Floquet multipliers. This paper gives a new mehod to determine the stability of delayed differential equaitons.

The authors proved that a simple inverse semigroup of a matrix is actually a group of a matrix by the method of matrix diagonalization;  a 0-simple inverse semigroup of a matrix is actually a 0-group when the zero is a prime element;   and  a semigroup of matrix is a completely 0simple inverse semigroup if and only if it is isomorphic to the brandt semigroup B_n which the trivial group corresponds to by characterizing complete 0-simple inverse semigroups of matrix via Rees construction.

The strict efficiency of setvalued optimization was considered in real normed spaces. When both objective function and constraint function were concave, Fritz John type necessary optimality condition was established for setvalued optimization problem with constraint to attain its strict maximal solution with higherorder derivatives and  separation theorem for convex sets. With the properties of base functional and the constructive method, sufficient optimality condition was also derived.

A homotopy interior point method was proposed to solve a class of semiinfinite programming problem. Under some proper conditions, we obtained the constructive proof of the existence of the homotopy path which connects any given point in X with the solution of the semiinfinite programming problem, and hence constructed an implementable globally convergent algorithm.

The present paper focuses on  the following singular secondorder dynamic equation on time scales:
We dealt with the singularity  utilizing the integration, and investigated the existence of countably many positive solutions to the equation with the fixed point index theory.

We investigated the existence of two positive solutions to singular boundary value problems using LeraySchauder alter
native theorem and other fixed point theorems in cones, obtained its sufficient conditions and gave an example to explain our results.

sing the continuation theorem based on coincidence degree theory, we studied the existence of positive periodic solutions for a predatorprey system with infinite delay and nonmonotonic functional response. Two bounded open sets were obtained by means of analytic technique and a set of sufficient conditions for this system to have at least two positive periodic solutions was also obtained. It was revealed that when the carrying capacity of prey species and the increasing rate of predator species are all sufficiently large, the system will bring periodic oscillation of biological nature.

A  combined homotopy method for solving generalized horizontal complementarity problem is introduced by constructing a combined homotopy equation and introducing the definition and the characters of N-matrix. As a byproduct of our analysis,
 the existence of the homotopy path is proved and this method is global convergent under reasonable assumptions.

We discussed equitylinked life annuity contracts, and obtained the optimal strategy of insurance by dynamic programming.

We used the following technique to improve the NUCOMP algorithm for the hyperelliptic curves of genus 2:
(1) avoiding the computation of the polynomial’s inverse by resultant; 
(2) Montgomery’s trick of simultaneous inversions;
(3) Reordering of normalization steps to save some field operations.
The experimental results show that our algorithm is more efficient than the NUCOMP algorithm.

We studied the vertex distinguishing edge coloring of K_n(n≥20, n≡0(mod2)) graph with four independent edges deleted, and obtained the vertexdistinguishing edge chromatic number of K_n-{v₁v₂,v₃v₄,v₅v₆,v₇v₈}(n≥20, n≡0(mod2)), where K_n-{v₁v₂,v₃v₄,v₅v₆,v₇v₈} is denoted by the complete graph with order n deleted edges {v₁v₂,v₃v₄,v₅v₆,v₇v₈} of K_n.

This paper deals with the existence of solutions to a class of secondorder function boundary value problems for ordinary differential equations with the help of Mawhin coincidence theorem.

Multi parallel ant colony optimization algorithms based on chip multiprocessor (CMP) proposed in this paper include parallel MAXMIN ant system, parallel ant colony system and diffrent mixture strategies of both the systems. Each core of the CMP simulates a subant colony and the whole ant system shares one pheromone matrix. The implementation was obtained by the multi
threads with real time priority. The influence of the strategies was examined by several traveling salesman problem benchmarks from TSPLIB. Experiments show that parallel ACOs based on CMP have nearly linear speedup by the number of cores and the mixture of MAXMIN ant system and ant colony system has the advantage in the stability of solutions.

In view of the shortcomings of redundant data leading to computational complexity of feature extraction after traditional normalization in iris recognition and weakening of main texture information, we introduced the ROIbased iris normalization means and used PCA to extract principal component to reduce the dimension and remove noise further, then trained feature vectors using ICA to make ICA/PCA iris feature extraction algorithm; finally used cosine distance classifier to identify testing samples. Experimental recognition rate was reached up to 98.11%, and recognition time was less than 70 ms.

In view of the problem of low flexibility and complex structure of traditional delegation models, this paper introduces an improved delegation model named flexible delegation model based on permissions division, which is built on permissionbased delegation model. Instead of dividing roles, the permissions are divided into three sets in this model, which include delegable
 permission, semidelegable permission and undelegable permission. It realizes special permissions delegation and simplifies the structure of the model. The results show that this model makes the realization and management of the delegation more easy and flexible, at the same time it ensures the security of the system.

In order to solve the permutation flowshop problem to minimize makespan subjected to a given maximum tardiness upper bound effectively, we presented a new iterated greedy heuristic algorithm IG_CZ by combining global and local optimization to obtain optimal solution or nearoptimum solution. Finally, IG_CZ was tested on different scale benchmarks based on Taillard standard test sets. The result shows that IG_CZ is simple, implemented easily, and the solution quality and the ability to gain solution of IG_CZ precede other compared algorithms.

We first proposed a new method calculating semantic similarity parameter information content. The new algorithm is based on the concept semantic information in the knowledge base called WordNet and the probability in the corpus called selfinformation. Then, considering the existing algorithms are all domainrelated and the calculating processes are complicated, we  proposed a universal method based on corpus statistics and WordNet  calculating semantic similarity which can be used in information extraction, information retrieval, document clustering and ontology learning. The  proposed method makes a substantial improvement experimenting on the benchmark data setR&B concept pairs.

We presented a hybrid learning algorithm for radial basis function neural network, which is based on particle swarm optimization, K-means clustering and subtractive clustering algorithm. The algorithm can be used to determine the number of hidden layer nodes adaptively by using subtractive clustering, avoiding the manmade interference for adjusting the hidden layer
nodes. The initial particle swarm of particle swarm optimization can be formed by K-means clustering algorithm to avoid the randomness of the initial particle swarm. In this way, the optimization capability of particle swarm optimization is improved. Particle swarm optimization algorithm is used to train all the parameters. Numerical results show that the accuracy of the improved hybrid algorithm is superior to two existing popular methods.

This paper presents a static datastructure software watermarking method based on class tree. This method uses a kind of information representation based on class tree, and designs an information embedding algorithm based on class tree. Finally, it presents a watermark automated generation processing which includes watermarking range computing, watermarking selecting, watermarking decomposing, watermarking embedding and camouflage designing.

 The authors proposed a generalized Backstepping control algorithm and RBF neural networks predictive control strategy, and analyzed the  Lyapunov sense stability and errors of the uniformly ultimately bounded (UUB) system. The validity and effectiveness of this proposed control method were verified via  simulations experiment.

The occluded spinneret hole and the diameter of spinneret were detected by means of computer image processing. Meanwhile, an algorithm was introduced to detect the spinneret hole image which was collected by a CCD camera, including image collection, square Gray-scale transformation, edge detection based on Sobel algorithm, binarization based on distance -preserving method, an edge thinning algorithm with Sobel operator. On the basis of geometrical characteristics of the circle, we judged  if spinneret holes had been occluded, and determined clogging area proportion via  the pixel of the spinneret hole image and solved the diameter of the hole that had not been occluded. The application  indicates that this algorithm is reasonable, efficient and accurate.

ZnO (wurtzite) whiskers were grown via a floating zone method. The as-grown samples were characterized by X-ray diffraction and polarizing microscopy. Their characteristic peaks verify that the as-grown ZnO whiskers have excellent hexagonal wurtzite phase and (100) orientation. Raman scattering results show that  when  temperature was 93~706 K, the  frequency was red shift with the temperature increasing. When temperature was up to 500 K, the line width of E^high₂ mode broadened with the temperature increasing, ZnO elements turned into activity  status, Raman mode frequency was significant hardening.

The experimental detection efficiency of ¹⁵²Eu and ¹³³Ba at 15 cm was measured via coaxial high-purity germanium (HPGe) detector.  Then the coaxial HPGe detector peak efficiency was simulated via Monte Carlo method, to adjust detector dead layer thickness and cold\|finger size. The results show that when the HPGe detector dead layer thickness is 0.22 cm, the thickness and length of cold\|finger size are 0.301 cm and 1 cm, the simulated efficiency is consistent with the experimental efficiency.

 An investigation on structural transformation, electronic and elastic properties of Ge under high pressure was conducted via first\|principles calculations based on density functional theory (DFT) with the plane wave basis set. The results show that  first\|order structural transformation from the cubic diamond (Ge-Ⅰ) to β-Sn structure (Ge-Ⅱ) occurs at 9.0 GPa. The electric conductivity of material was  transformed, that is,  from that of  semiconductor to that of conductor. The  elastic coefficient of Ge-Ⅰ shows a linear relation with  pressure. 

The authors fabricated polymer lightemitting diodes with high work function aluminum cathode based on a new alcoholsoluble polyfluorene with phosphonate groups in the side chains (PFEP) as an electron injection material. Compared with that of Ca/Al cathode, the performance of the PLEDs based on green polymer with this electron injection layer and Al cathode is enhanced. The driving voltages are lower and the lightemitting efficiency is increased to 15.8 cd/A.

Near infrared spectroscopy (NIR) combined with partial least square (PLS) was used to develop a new method for the real
time monitoring of the intracellular polysaccharide concentration during the Cordyceps militaris fermentation. 39 batches of Cordyceps militaris fermentation were implemented under various fermentation conditions in 5 L at three kinds of different  conditions. The samples were collected at intervals of some hours after the fermentations running into the exponential growth phase. The NIR spectra of the samples were recorded and the intracellular polysaccharide mass concentrations of the samples were determined at the same time via the reference method. PLS method was used to model the relationship between the NIR and the intracellular polysaccharide mass concentration.  The developed model was optimized by selecting the suitable spectral preprocessing method and the suitable number of latent variables. The relation coefficient of the predictive values obtained by leaveoneoutcrossvalidation method and the reference values (R) was 0875 0 and the root mean square error of crossvalidation (RMSECV) was 0.305 2. Using this model for predicting the intracellular polysaccharide concentration in samples, the root mean square error of calibration samples (RMSEC) was 0.167 0 and the root mean square error
 of prediction samples (RMSEP) was 0.365 0. These results demonstrate that the stability and the predictive capability of this model were satisfied and this method should be popular in fermentation monitoring processing.

7-Substituted-2-amino-1,2,3,4-tetrahydro-2-naphthalene carboxylic acid was synthesized through 2tetralone intermediate by hyda
ntoin hydrolysis from the starting materials 7-substituted phenylacetic acid in a total yield of 32%, and hydrolysis conditions of different 7-substituted hydantoin were examined. The structures of the key intermediate and the target mole
cule were confirmed by ¹H NMR and ¹³C NMR.

To establish an HPLC method for the determination of panasenoside ［kaempferol-3-O-β-D-glucopyranosyl-（1→2）-β-D-galactopyranoside］ in the leaves of Panax ginseng C.A.Meyer, the chromatographic separation was performed on a Zorbax Extend C18 column (250 mm×4.6 mm, 5 μm), with V(methanol) ∶V(acetonitrile) ∶ V(0.1% acetic acid/water)=25 ∶5∶70 as mobile phase at a rate of 1.2 mL/min and 25 ℃. The detection wavelength was set at 268 nm. The results show that the linearity of panasenoside was in a range of 0.5～20 μg(r=0.999 9, n=6), and the average recovery and RSD were 98.5% and 064% respectively (n=6).

Euphorbia pekinensis Rupr was isolated and purified by means of column chromatography on silica gel, ODS etc. Seven compounds were isolated and identified as 3,3′-di-O-methyl ellagic acid-4′-O-β-D-xylopyranoside (1), 3,3′-di-O-methylellagic acid-4′-O-β-D-glucopyranoside(2), 3,3′-di-O-methyl-ellagic-acid (3), octacosyl ferulate (4), euphol(5),β-sitosterol (6) and daucosterol (7). All the compounds were identified by physicochemical and spectral data, and they were all isolated from Euphorbia pekinensis Rupr for the first time except β-sitosterol.

Mutation（F80A）on CDK2 kinase allows the selective use of an ATP analogue N⁶-(2-phenylethyl)-ATP (PE-ATP), which exhibits high affinity for the altered CDK2. Using modified CDK2 and its ATP analogue enables the detection of novel CDK2 substrates in cells. Modified CDK2 （F80A）myc was cloned into pCMV vector, and transfected into HeLa cells by polyfect transfection reagent. The cells expressing mutant CDK2 were selected by the ability of resistance to G418. The stably transfected cell line was identified by immunoblotting. Four out of the six mutants showed CDK2(F80A)myc expression, and two of them got a higher expression level. The higher CDK2(F80A)myc expressing cell lines can be used for screening CDK2 substrates in cells.