Abstract:A result on the generalized Lehmer number proposed by Zhang in 1994 is generalized in this paper.

Abstract:Permutation polynomials over finite fields becomes an interesting subject. To constructing new classes permutation polynomials is an open problem raised by Lidl and Mullen in 1988. By using the linearized polynomials, the authors constructed the permutation polynomials over the finite fields.

Abstract:In this paper, a new method is proposed for solving a class of separable convex programming problem. The method is referred to as the partial inexact proximal point method. In the method, we take a fresh look at the alternating direction method of multipliers and two sub-problems are solved independently. One is solved directly and the other is handled by bring in inexact minimization. Convergence of the method is proved under mild assumptions and its efficiency is also verified by numerical experiments.

Abstract:Factorization of the polynomial x^n-1 over finite fields is not only important theoretically, but also has a lots of applications, especially in secure communication and error-correcting coding theory. In this paper, an explicit factorization of x^n-1 into irreducible factors over the field F_q is given when ord_{rad(n)}q=2w, where w is an odd prime number. These results improve and generalize some recent progresses.

Abstract:We give a characterization of modules of by the Hall number of modules.

Abstract:Suppose $\mathbb{Z}/p^n\mathbb{Z}$ is the residue ring of module $p^{n}$, and $U=\{f(x)\in{\mathbb Z}/p^{n}{\mathbb Z}[x]|f(a)\equiv 0~\pmod{p^{n}}, \forall a\in {\mathbb Z}\}$. In this thesis, we proved that $U=\{f(x)\in{\mathbb Z}/p^{n}{\mathbb Z}[x]|f(a)\equiv 0~\pmod{p^{n}}, \forall a\in {\mathbb Z}\}$ is a free generated $\mathbb Z/p^n \mathbb Z$-module, and then we get a set of bases of it, we also proved that the quotient ring $(\mathbb{Z}/p^n\mathbb{Z}[x])/U $ is a finite ring, then we can get the order of $(\mathbb{Z}/p^n\mathbb{Z}[x])/U $ through the bases of it.

Abstract:In this paper, inspired by the idea of solving heat conduction equation by means of Schwarz waveform relaxation algorithm, we analyze the feasibility of applying SWR algorithm in European option pricing. After transforming European call option pricing into a class of initial boundary value problems for heat conduction equation, error functions are obtained with Schwarz iterative method. Then the convergence result of algorithm error and the flow diagrams of algorithm are given. It is showed by a numerical experiment that this algorithm has better estimation effect compared with classical European option pricing formula.

Abstract:With the continuous development of the Internet, more and more nontraditional services are emerging and occupying a large amount of network bandwidth resources, which makes Internet services and security more and more difficult to be managed andaffects the normal performance of traditional services.The existing identification methods generally use port identification and DPI (Deep Packet Inspection) technology, which is difficult to identify roundabout traffic and encrypted traffic.This paper proposes a classification method based on DPI autocorrelation detection. This method firstly identifies the roundabout flow through the seventuple association relationship with the sample stream, called as strong autocorrelation (SA).Then, the detected stream features are extracted and identified by the classification decision function proposed in this paper. This part is called weak autocorrelation(WA). The experimental results show that the proposed method can overcome the DPI shortcomings in the roundabout and encrypted traffic identification and improve the traffic flow identification accuracy.

Abstract:According to the defects and deficiencies of the classical feature selection method in Chinese comment text, an improved method is proposed for Chinese emotion feature selection. The current existing emotion feature selection method generally only used the statistical information of the feature items in the classes, ignoring the influence of the emotional polarity value on feature selection. Meanwhile the negative words in the sentiment text can cause the reversal of the emotional polarity of the characteristics, which would bring great negative effects on the feature selection. To tackle these problems, antisense transformation processing of the emotion characteristic words is performed in the range of the negative words, which effectively solves the emotional polarity reverasl in the sentiment text. The paper also introduces the emotional polarity values and its frequency into the chisquare model (CHI) to improve the effect of CHI on the emotion feature selection. The experimental results show that the proposed method can improve the accuracy of emotion classification by about 1.5% in multiply domain data sets, compared with other algorithms.

Abstract:In this paper, we use Sina Weibo text as the main experimental dataset, and propose a coding method suitable for selfoptimization of convolutional neural networks. Our coding method encodes each CNN framework using a hybrid double nonnumeric encoding by treating each layer as a chromosome and the parameters in each layer as a gene segment respectively, and selection, crossover and mutation algorithms are devised for CNN networks. We also propose a genetic algorithm based on sentiment analysis algorithm (GACNN) which combines genetic algorithm (GA) with convolutional neural network. The experiment and comparative analysis of GACNN and traditional algorithms demonstrates the selfoptimization of our method.

Abstract:In recent years, with the rise of the "IP" boom, the market of online literature is developing rapidly, has gradually become a popular type of entertainment investment industry. This paper introduces the machine learning method to the prediction of the novel rankings, obtains the network novel information through the web crawler, extracts the characteristics of the influence rankings, constructs the BP neural network model to predict the range of the novel rankings. In view of the non equilibrium of the prediction results, the ROC curves and AUC value used as the classification performance metrics, the accuracy is more accurate. Compared with the traditional literature qualitative analysis method, machine learning method is more predictable, interpretable and applicable.

Abstract:For the structural and mathematical features of some scaling fractal fractance approximation circuits,the irregular scaling equations of the typical scaling circuits have been solved and trimmed. Accurate zeropole values are computed by using the transmission matrix algorithm and the matrix labority. It is found and verified the linear distribution rule for the zerpole value which locates in the middle of the circuit section. Not only the linear distribution formula of zeros and poles are given, but also the irregular scaling equations corresponding to the typical scaling fractal fractance approximation circuits have been solved and sorted.

Abstract:When using Naive Bayes classifier to classify texts, the feature selection method has a direct impact on the performance of the classifier.In this paper, a maximum discrimination (MD)feature selection algorithm is proposed. After N types of probability distributions are obtained through training, the ability to distinguish the categories of each feature in its feature vector d is acquiredby testing the sample, and a new feature vector ε is constructed for classification, the selected features from the feature selection have the maximum discrimination capacity for text categorization. Simulation results show that compared with cMFD, CSFS and CMFS feature selection algorithms, MD feature selection algorithm can obtain higher classification accuracy when fewer features are selected.

Abstract:Effective prediction of web services response time has important guiding significance for service providers to guarantee the quality of service, using big data approach to process a large number of indictors’ historical data can improve the efficiency of prediction. Correlation analysis is proposed to remove indicators’ items that are not highly correlated with response time, the computed data volume is reduced by the feature dimension reduction, and the multilayer LSTM optimization algorithm with dynamic adjustment parameters is designed to predict the response time of web services. Experiments show that the proposed method can predict the response time of Web services efficiently and accurately.

Abstract:The traditional inductively coupled power transmission system has problems such as large loss of switches and voltage or current harmonics generated when the converter is working. This paper, based on the LCLP topology, proposes a method for synchronous transmission of electrical energy, which regards the ICPT system as the main circuit and Frequency Shift Keying (FSK) modulation signal. Through the principle analysis of LCLP type ICPT system and the research of signal modulation and demodulation strategy, a mathematical model was established for the simultaneous transmission of electric energy and signal. On account of the premise of maximizing the power transmission capability, the system parameters were calculated, and the simulation model was built for verification and analysis. The simulation results show that the Bit Error Rate (BER) is zero in nonnoise environment; In the noise environment, the BER decreases with the increase of SNR when SNR＜-4, the BER is zero when the SNR ≥-4. Before and after the introduction of the signal transmission circuit, the resonant output voltage amplitude is basically unchanged, the BODE curves’ change trend and attenuation value are unchanged as well, and the harmonic distortion rate at the load is reduced to 13.24%. The system has no significant impact on power transmission while transmitting signal in low BER condition.

Abstract:The definition of energy is a long-standing difficult problem in gravity theory because of the diffeomorphism invariance of the gravity field. Various approaches have been developed. We have generalized Wald’s approach for the constructing quasi-local energy of gravity field, which is based on the Lagrangian formulation, to the three-dimensional gravity with torsion, and obtained the conserved energy and angular momentumfor the Mielke-Baekler (MB) model. For BTZ black hole with torsion, the conserved charges are consistent with those obtained from the approach based on Hamiltonian formulation.

Abstract:High-order harmonic generation from H2+ with different vibrational states has been theoretically investigated. The results show that the red-shifts of the harmonics can be found in the lower vibrational states. As the vibrational state increases, the red-shifts of the harmonics are decreased even disappeared. Through studying the time-frequency analyses of the harmonics and the contributions of the harmonics from the two-H nuclei, the reason behind the frequency modulation of harmonics can be given.

Abstract:We study the abnormal quantum transport through quantum point contact systems with Rashba effect and lateral spin-orbit coupling under asymmetric confinement geometries. We find that for a certain range of Rashba interaction strength, the conductance has a weak plateau around 0.8×2e^2/h. The value of this anomalous plateau is dependent on the voltage bias of the asymmetric confinement. We find that for a certain range of voltage bias, this weak plateau is lowered slightly with increasing the voltage bias. Furthermore, we find that the asymmetric confinement gives rises to a nonzero spin polarization due to the Rashba spin-orbit coupling. Therefore, we can make such quantum point contact spin-polarizer by purely electrical means in the absence of any applied external magnetic field.

Abstract:In view of the defect of the traditional measurements of materials linear absorption coefficients, in this work the linear absorption coefficients of gamma ray in different experimental conditions are simulated and calculated using the Monte Carlo N Particle Transport Code (MCNP) and the method of full energy peak area, and the deviations of the coefficients from the recognized values are also calculated. The appropriate experimental condition is obtained by reducing the deviation to a reasonable scope and contrasting with other methods. As a result, the approved measuring equipment which is easy to adjust is able to obtain the information about radiation energy. It offers a better accuracy and higher detection efficiency compared with the counting method.

Abstract:Based on the multi-configuration Dirac-Fock method, the energy and transition parameters of C-like Al were calculated. Breit and QED correction as well as the effective volume effect of the nucleus and the nuclear mass correction effects were added to the Hamiltonian. The calculated data are in good agreement with the experimental values and other theoretical values. The calculated data compensate for the lack of spectral data and provide a theoretical basis for future researchers' experiments on Al VIII.

Abstract:The crystal structure of (Ba0.5Sr0.5)TiO3 was studied by the generalized gradient approximation based on fist principles method. Comparisons of the results with experimental values ensure that the method chosen is feasible. The lattice parameters, electrical structure and optical properties of Hf doped (Ba0.5Sr0.5)TiO3 were calculated and analyzed by the same method. The dielectric function was analyzed primarily. The calculated result shows that the structure of Hf doped (Ba0.5Sr0.5)TiO3 is tetragonal phase. Compared with (Ba0.5Sr0.5)TiO3, the symmetry and dielectric constants become lower, and the dielectric peak becomes widened.

Abstract:By restricting the periodic boundary condition of wave vector , the model of toroidal carbon nanoscrolls in a magnetic field is constructed on the basis of graphene tight-binding model, and its electronic structure properties are studied. The results show that the electronic structure with the magnetic flux Φ0 changes periodically with the magnetic flux Φ, which can be modulated into a metal or a bandgap semiconductor by controlling the chirality and magnetic field. The bandgap of zigzag toroidal carbon nanoscrolls with m = 3I (I is integer) is less affected by magnetic field, and the variation is only 7 μeV at m =18.

Abstract:The study was to prepare composite calcium phosphate cement with improved repair and anti-tumor injectable sustained-release selenium nanoparticle. Na2SeO3/CS sustained release selenium nanospheres were prepared by emulsification and crosslinking method. The microspheres were combined with calcium phosphate cement (CPC) to prepare the Na2SeO3/CS/ CPC bone repair system. The curing time, mechanical strength, sustained release selenium and degradation properties, morphology and phase composition of the system were measured and characterized, and the activity of the cells in vitro was studied. The result showed that compared with pure CPC, when the amount of Na2SeO3/CS nano microspheres was 4 %,the injection of composite CPC was good, the curing time was 5.75 -11.5 minutes and the curing strength was improved. The microstructure showed that CPC was evenly wrapped on the surface of chitosan microspheres and formed a needle like HA crystal. The addition of the microspheres to the crystalline phase of the composite CPC material had no significant effect in the components. The sustained release selenium effect was good, the effective release was 22 d, and the degradation was better than the pure CPC. The honeycomb like three-dimensional porous structure of the network was formed, which was beneficial to the adhesion of tissue cells and blood vessels and nerves. In vitro cell test showed that the inhibitory effect of compound CPC on the proliferations of MCF-7 and MG-63 human osteosarcoma cells in human breast cancer cells was significant, and the inhibitory difference between the two cell proliferations was not significant. This study provided a new idea for non-bone bearing minimally invasive, defect repair and postoperative recovery of bone tumors, prevention and treatment of recurrence and metastasis, and provided an experimental basis for the rational application of functional element selenium.

Abstract:In this paper, we used the sol-gel method to prepare the Er3+:Y3Al5O12. Then Er3+:Y3Al5O12 and Bi2WO6 were composited to make photocatalyst the Er3+:Y3Al5O12/Bi2WO6 compound by using ultrasonic dispersion method, which were characterized by XRD and SEM. In the (visible light) three color light irradiation. A series of studies on the degradation effect of Rhodamine B were carried out, such as roasting temperature, roasting time of Er3+:Y3Al5O12/Bi2WO6 and the amount of catalyst, light intensity, light time on the degradation rate of Rhodamine B. In addition, the catalytic activities of Er3+:Y3Al5O12/Bi2WO6 degradation with different dyes and different dye concentrations were investigated and compared with that of the single Bi2WO6. The experimental results demonstrate that the best degradation efficiency of Rhodamine B dye can be obtained at the amount of catalyst 1.00 g/L, the initial concentration of the dye 10.00 mg/L, the roast temperature of 350 ℃ and roasting time of 120 min.

Abstract:In order to discover new active compounds from poisonous plants for the research and development of botanical pesticides,the insecticidal activities of ethanol extracts from six poisonous plants against aphids were determined by dipping leaf method. The results showed that the corrected mortality rates of ethanol extracts from Laggera pterodonta against aphids at 2000 mg/L, 5000 mg/L and 10000 mg/L were 76.83 %, 92.85 %, and 100 %, respectively. And the insecticidal activities of ethanol extracts from six poisonous plants against locusts were determined by dipping leaf and insect method. The results showed that the corrected mortality rate of ethanol extracts from Laggera pterodonta reached 72.00 % at 10000 mg/L for 120 h, and the active ingredients of Laggera pterodonta against locusts were determined by the bioassayguided method. After separation and purification, compound 1 with better activity was obtained. Its corrected mortality against Locusts was 67.86 % at 1000 mg/L for 72 h, which provided a theoretical basis for further study on the insecticidal active ingredients from Laggera pterodonta.

Abstract:In this paper, we screened out three pairs of specific detection primers of Salmonella pullorum, ipaJ417, traJ-387, and traJ-476, by the blast analysis of the coding genes ipaJ and traJ which coded the invasion plasmid antigen protein J and plasmid co-transfer regulatory factor in Salmonella pullorum virulence plasmid Pspuv. And these PCR primers were designed in special regions and identificated in the different species of Salmonella and common intestinal pathogens. And a common reaction buffer of two kinds of DNA polymerase for the direct triple PCR system was also established (invA-211/traJ-387/16S-495). This direct triple PCR system can be used for fast and accurate identification of Salmonella pullorum.

Abstract:The laccase activity and its gene expression regulation characteristics under different temperature cultures (20℃, 25℃, 28℃and 30℃) were studied with the Lentinus edodes Xin808 to analyze the effect of its diameter of the mycelium ring and oxidation ring. The laccase activity was measured by liquid fermentation, and the relative expression level of lac was detected by qPCR technique. The results showed that, the growth rate of Lentinus edode mycelium, formation of oxidation ring, and laccase activity were all higher under 25℃ cultivation temperature. While 30℃ inhibited the growth of mycelium and the formation of oxidation ring and resulted into the lowest laccase activity. Moreover, the Lac genes exhibited differential expression profiles cultured in different temperature. Compared to the 25℃(control), the relative expression level of 9 laccase genes (i.e. Llac1-3, Llac5 and Llac7-11) were up-regulated cultured at 20℃. Besides, the expression level of genes such as Llac5, Llac7, and the rest 8 laccase genes were up-regulated at 28℃. While 6 genes (including Llac1-2, Llac4, Llac7-8 and Llac10) were down-regulated under 30℃ treatment. It can promote Llac genes expression cultured at 20℃ , while 30℃ treatment inhibit the expression of the isozyme genes.

Abstract:Acer pentaphyllum is rare and endangered plant endemic to Sichuan Province, China. This species is only distributed in the arid valley area of the upper and middle reaches of Yalong River. Exploring its genetic diversity characteristics can provide a theoretical basis for the protection and utilization of its genetic resources. In the paper, genetic diversity and genetic structure of 5 Acer pentaphyllum Diels populations from Sichuan (total about 44 individuals) were analyzed by ISSR (inter simple sequence repeat) markers. Eight highly stable and repeatable ISSR primers were used to detect a total of 38 loci, of which 35 were polymorphic sites (90.21% of the total). At the species level, the Shannon index (I) was 0.3924, Neis gene diversity index (He) was 0.2498, the coefficient of gene differentiation (Gst) was 0.3722, and the gene flow (Nm) was 0.8433. The software Popgen 32 analysis of the results showed that the genetic variation mainly existed in the population. At the population Level, I and He were 0.2125 and 0.1456, respectively. All of these results showed that Muli, Sanyagong and Kangdiing population had higher levels of genetic diversity, while Yajiang and Luomo had lower genetic diversity. The mantel analysis showed no significant correlation between genetic distance and geographic distance.

Abstract:Single factor and orthogonal experiment methods were used to explore the tissue culture technique of Hemerocallis citrine ‘March Flower’. The results showed that the best effect was when the young leaves were treated with 0.1 % mercuric chloride for 12 min with no pollution and death and the activation rate was 62.5 % after 14 days. MS + 2 mg/L 2,4-D + 0.1 mg/L 6-BA was the optimal induction medium with the 86.67 % recovery rate, MS + 2 mg/L 6-BA + 0.5 mg/L IBA was the best differentiation medium with the 80 % differentiation rate, and the average number of adventitious buds per block was 1.72. 1/2 MS + 0.5 mg/L NAA was the best rooting medium, the rooting rate was 93.33 %, the average number of rooting per shoot was 5.83. The survival rate of transplanted test tube seedling was 95 %. Using the tissue culture technique, the young leaf explants obtained the "March flower" daylily regeneration seed through the callus pathway.

Abstract:To find out the resources, status, and characteristics of street trees in Tibet, the diversity index, structural characteristics, configuration patterns, ect were analyzed based on the survey of street trees in Tibet. The results showed that:1) There are 63 species of street trees in Tibet, belonging to 36 genera and 20 families, and their average DBH, crown, and height are 12.32cm, 7.21m, 3.90m, respectively. In general, their specifications are obviously small. Among all street trees, Salicaceae is the most applied one, including 15 species; Rosaceae and Pinaceae are the second and third most, including 13, 7 species respectively. 2)The key tree species of street trees in Tibet are Salix alba, Populus × beijingensis, Prunus cerasifera f. atropurpurea, Ulmus pumila and Cedrus deodara. In terms of importance value of street trees, the top three are Salix alba (47.830), Populus × beijingensis (43.459), and Prunus cerasifera f. atropurpurea (22.834) and the diversity index is high. 3) Taking account of seasonal phenomena structure, the street trees display mainly spring-autumn aspection and autumn aspection. In terms of the color trees, they are mainly yellow and white. 4) By the vertically layered structure, it is mainly one layer mode（43.93%）. The structure of street trees in Tibet are undeveloped and lack of flowering shrubs, flowers and ground cover plants.

Abstract:In view of the wide range of outdoor landscaping evaluation indicators and the complex relationships, it is difficult to evaluate the succulents effectively and comprehensively. By using the Scenic Beauty Evaluation method, three evaluation indexes of ecology, aesthetics and maintenance were selected to evaluate three different types of succulent landscapes. And through the partial correlation analysis, the evaluation factor with the smallest correlation coefficient is eliminated, and the community level, coordination, symbiosis, diversity, unity, balance, stability, color matching, rich colors, plant growth, and surrounding environment, which contribute a lot to the scenic beauty value, are retained. Finally, the multi-linear backward regression method was used to establish the evaluation model of succulent landscape scenic beauty by SPSS 18.0, namely Y =0.201 X1+0.177 X2+0.072 X3+0.069 X4+0.210 X5+0.120 X6+0.106 X7+0.117 X8. Among them, Y is the standard value of succulent landscape scenic beauty, X1 means community level, X2 means coordinated symbiosis, X3 means diversity and unity, X4 means balance and stability, X5 means color matching, X6 means rich colors, X7 means plant growth, and X8 means surrounding environment. The results of this study can provide a more scientific approach to the evaluation, design, and construction of outdoor landscapes for succulents.