Abstract:Recently Wan studied the algebraic degrees of the exponential sums S_q(f) over a finite field F_q. In this article, basing on Wan's results, we discuss the Gauss sums for the case q=p^2 and obtain that S_q(x^d) has only two possible values, if it is of degree 1. Additionlly we generalize a method proposed by Myerson in 1981 and get all explicit values of the algebraic degrees of Gauss sums in some special cases.

Abstract:This paper gives the condition that a class of two-variable functions with iteration shown in the text are means. The properties, such as the symmetry, equivalence and the invariance, of the quasi-arithmetic mean are considered with respect to this mean type.

Abstract:This paper discusses a single hidden neural network algorithm for the heat conduction interface problems. The proposed algorithm sets the approximate solution to contain a neural network function and to meet the initial/boundary conditions and the Dirichlet interface condition, and trains the neural network by solving the discrete optimization problem derived from the original system so as to finally obtain the approximate solution. A new optimization algorithm based on the stochastic gradient method is also given to solve the corresponding discrete optimization problem. Numerical examples are provided to verify the effectiveness of the neural network algorithm.

Abstract:The permutation polynomials has wide and important applications in the fields of algebra, combinatorics, number theory, coding theory, cryptography, and so on. In this paper,by calculating the sum of equal powers of the Fibonacci polynomials, we obtain the necessary conditions for determining these Fibonacci polynomials defined on a finite fields is a permutation polynomials, solve the open problem raised by Fernando and Rashid and generalize the existing results.

Abstract:This paper aims at calculation of the fourth power mean of a certain generalized three-term exponential sums modulo p, an odd prime.By using some properties of the classical Gauss sums and character sums, we give some exact calculating formulae and asymptotic formulae for it.

Abstract:The arithmetic half-Asian option is a generalized Asian option, without analytic pricing formula. The Monte Carlo methods are most unsed in option pricing. Despite of the high pricing accuracy, the calculation time is long. In this paper, a fast algorithm named the semi-analytic method for the arithmetic half-Asian option is proposed by combining the improved Monte Carlo method and moment approximation method. The mathod greatly reduces the computation time under the premise of ensuring accuracy. Then, the semi-analytic method is improved by using antithetic variable technique in order to further reduce the computation time.

Abstract:In this paper we partly solve an open problem proposed by Lazar in 2003.

Abstract:When a microwave oven heats liquid foods such as water or milk, there is a phenomenon of longitudinal and transverse temperature inhomogeneity because of the nonuniform of electromagnetic field distribution. To explore the mechanism for the phenomenon, the multiphysics simulation software was used to simulate the temperature change when heating a cup of water from bottom by microwave and conventional electric heaters. By analyzing the effect of the convection on the distribution of electric field and temperature, it came to conclusion that convection only occurs in the local area owing to nonuniform of microwave heating, different from the traditional method where it forms a bottomup onvection, which eventually leads to the temperature delamination.

Abstract:Anomaly detection is a classic problem in computer vision. It is difficult to capture the anomalies in the real scene and is difficult to obtain the labels as well, an endtoend anomaly detection model trained only with normal samples is proposed. First, the input image is encoded by an automatic encoder to obtain its lowdimensional features, and then an autoregressive probability density estimator is used to constrain the probability distribution of low dimensional features. The decoder restores it to the original input size. Finally, a classifier determines the authenticity of the generated picture. A jumper connection is used between the codecs to maximize the memory of the model for normal samples. In this paper, the experiments were conducted on the CIFAR10 and UCSD Ped2 datasets. The results showed that the average area under the curve (AUC) of the 10 categories of CIFAR10 reached 73.5%, and the area under the average curve (AUC) of UCSDPed2 reached 95.7%. This model can effectively improve the effect of anomaly detection.

Abstract:Atmospheric jet is one of the important factors affecting weather patterns, and the jet identification can provide important data for automatic identification of weather system and intelligent weather forecast calculation. According to the property that jet axis locates at the geometric center of strong wind area，a new jet axis identification method is presented. First of all, the coherence feature of wind direction is used to obtain the jet areas, and skeleton extraction method is employed to get area geometric skeleton. The jet axis is obtained by connecting the tuned skeleton points which is computed by gravity formula. The experiment basing on MICAPS 11th format data and comparing with manual way and other methods shows that the present method can get the jet axis effectively.

Abstract:In the production process of medical bottles, a large number of bubble will be generated on the surface of the empty bottle body, but the existing methods have various problems in the detection of bubbles on the surface of empty medical bottles such as the week robustness to complex scene changes, and the poor antinoise ability and so on. Aiming to the existed bubble defects on the surface of medical empty bottles, an improved deep learning target detection algorithm RetinaNet is proposed to detect the bubbles on the bottle body. This paper mainly improves the feature pyramid network structure in the original RetinaNet algorithm, and introduces the feature enhance module in the process of the feature fusion, which effectively improves the extraction of semantic features and expands the receptive field of feature maps. In order to reduce the number of parameters and calculation time of the model, considering that the bubbles on the surface of the empty bottle are all small objects, the network structure to detect large objects in the original feature pyramid network is removed, which effectively improves the detection speed. By recombining the standard ResNet50 network, a dilation convolution module is introduced to expand the feature map receptive field and the accuracy of model detection is improved. The proposed method is validated on the empty dataset of injection molding, and the accuracy is 99.72%, the missed rate was 0.12%, the false detection rate was 0.16%, the mAP is 99.49% which is higher by nearly 2.4% compared with the original RetinaNet.

Abstract:Matrix decomposition was used in the early collaborative filtering algorithms in order to solve the problem of data sparsity. But it performed poorly in handling serious sparsity problem and cannot meet the application requirements. Then, transfer learning was introduced into collaboration filtering to deal with the data sparsity in the target domain by utilizing common users’ information in the auxiliary and target domains.Although the introduced auxiliary information would prompt knowledge acquisition in the target domain, these methods only use shallow features to measure the users’ similarity. As a result, these methods could not capture the potential features when the users have only a few common items and would result in poor performance in similarity measurement. In order to address these problems, this paper proposes a collaborative filtering recommendation method based on transfer learning and joint matrix decomposition. In this method, the information of common users and items in the two domains is mapped into a potential semantic space with the information of users as anchors; the useritem joint rating matrix of two domains is decomposed with the user information as the constrain. The experiment was performed to validate the proposed method and the method showed superior performance over the stateoftheart migration learning methods based on similarity calculation on benchmark data set, proving its effectiveness.

Abstract:The process of gas concentration control in animal hypoxia experiment is timevarying and nonlinear，Combining BP neural network with traditional PID control can achieve better control results, but there are still some problems such as slow convergence speed and poor stability. To solve these problems, a new BP neural network PID controller, optimized by improved genetic algorithm, is proposed. The convergence speed and stability of genetic algorithm are improved in order to optimize the initial weights of BP neural network , then the optimized BP neural network was used to realize online adjustment of PID parameters in this controller.Finally，the conventional and improved ontrollers are simulated in MATLAB，the results show that the improved BP neural network PID controller has better control performance, compared with the conventional BP neural network PID controller.

Abstract:A new method based on multilayer meanderline structures to implement the expected polarization of VICTS antennas was introduced. A cascade of two meanderline polarizers with a unified structure was employed for the first time, which could achieve the functionality of linear polarization compensation and linear to circular polarization conversationon the same VICTS antenna. Without the need of polarizer replacement, free switch between linear polarization and circular polarization was achievable. A model with the diameter of 100 mm was designed, and the correctness of the fullpolarization tunable scheme was verified.

Abstract:In this paper, the adsorption characteristics of L-cysteine and L-cystine on CdTe was studied by using the density functional theory. Four stable adsorption configurations were optimized, and their adsorption energies, charge densities, frontier molecular orbits and UV-Vis spectra were calculated. It is found that, when the L-cysteine is adsorbed on CdTe, the adsorption energy is large and the absorption to UV-Vis light is strong, indicating that the adsorption of L-cysteine on CdTe is stable and easy to produce molecular fluorescence. After L-cysteine is converted into L-cystine, the adsorption stability is decreased and the absorption intensity to UV-Vis light is weakened. This study provides theoretical support for the application of L-cysteine mediated synthesis of CdTe QDs fluorescence material in the detection of H2O2 and glucose in biochemical analysis.

Abstract:Through the laser waveform control, the enhancement of the single-order harmonic can be achieved. Further, when the fundamental laser intensity is increased, the enhancement of the single-order harmonic is disappeared. When the controlling laser intensity is increased, the enhanced ratio of the single-order harmonic can be enhanced and a maximum enhanced value can be found at the specific laser intensity. Theoretical analyses show that the enhancement of single-order harmonic is not only dependent on the folded structure of the harmonic emission process, but also related to the interference from different harmonic emission peaks.

Abstract:Wide Field of View Cherenkov Telescope Array (WFCTA) is one of the main detector arrays in the Large High Altitude Air Shower Observatory (LHAASO). Its physical goal is to measure the cosmic ray energy spectrum from 30 TeV to several EeV. The telescope readout electronics system consists of 1024 channels and the signals to be processed include both Cherenkov signals with pulse widths of tens of ns and fluorescence signals with pulse widths of μs. This paper describes the framework design of the telescope readout electronics system in detail. In order to reduce the amount of data, an online trigger is designed, that is to say, the first-level hardware trigger is performed on the subcluster electronics, and then the event trigger is implemented on the trigger circuit. At the same time, the electronic system uses a 4-point compression method to obtain waveform data, covering a waveform width of 2.24 μs. The laboratory test results show that the readout electronics system can correctly obtain the signal waveform, and the dynamic range of the charge measurement can cover 10 P.E. (Photon Electron) to 32 143 P.E. The overlap area of the high gain channel and the low gain channel is from 857 P.E. to 1 714 P.E., and the high-low gain ratio is consistent with the design. The charge resolution is better than 20% at 10 P.E., better than 5% at 32 000 P.E., and the relative deviation is better than 5% at 10 P.E., and better than 2% at 32 000 P.E, and thus readout electronics system meets design requirements.

Abstract:In order to accurately analyze the earthing switch failure causes in windy weather, through the onsite inspection, action process analysis, material analysis of structural parts and the stress condition analysis, this paper confirms that the failure reason of the abnormal closing of this earthing switch is the loosened bolt caused by the unreasonable size design of the crank arm bolt and the unqualified material. Furthermore, the targeted validation tests and preventive measures are carried out to ensure the safe operation of the equipment.

Abstract:The influence of dynamical decoupling pulses on the quantum coherence, quantum entanglement and quantum discord in cavity quantum electrodynamics system is investigated. We find that the quantum coherence and non-classical correlations (entanglement and quantum discord) between two atoms can be increased by applying a train of dynamical decoupling pulses. Furthermore, by making use of the trace distance, we also explore the reason for enhancement of quantum coherence of two atoms. It is shown that the dynamical decoupling pulses can control and accelerate the return of quantum information from other subsystems to two atoms, and reduce the flow of quantum information between two atoms and other subsystems, which leads to the increase of quantum coherence and non-classical correlations between two atoms. Finally, we investigate the three-body entanglement of the system by using state preparation fidelity. It demonstrates that the genuine three-body entanglement may emerge in the system during the evolution of time. In particular, the period of emergence of three-body entanglement can be adjusted and enhanced by dynamical decoupling pulses.

Abstract:Hydrocarbon contamination in superconducting niobium cavity results in the decrease of surface work function of niobium, field emission and the deterioration of accelerating gradient of superconducting cavity. After working for a period of time, it is necessary to clean the hydrocarbon contamination to ensure its normal running. At present, the cleaning effect after plasma processing cannot be judged accurately and timely to control the cleaning cut-off point. In addition, the off-line testing may cause some secondary pollution.Therefore, we present a plasma cleaning and on-line monitoring device based on electrostatic quadrupole plasma (EQP) mass spectrometer and Kelvin probe. The plasma cleaning and residual gas monitoring were successfully integrated and put into use. During the experiment, the changes of cleaning byproducts and work function were monitored online. It was proved that the Ar/O2 mixed plasma produced by the inductively coupled plasma source with a plasma density of 1016~1017m-3 could effectively remove hydrocarbon contaminations from niobium surface and make oxidation modification on niobium surface, raising the work function from 4.0 eV to 5.3 eV.

Abstract:Aiming at the erosion of CX-2002U carbon composite under the hydrogen plasma of HL-2M divertor, the influence of hydrogen plasma on it is investigated by using the linear plasma device (SCU-PSI) to simulate the operating environment of HL-2M. Under the condition of constant flux, it is found that the erosion of samples by hydrogen plasma is a cycle process through studying the chemical erosion of samples by hydrogen plasma with different irradiation time. In addition, it is found that the impurities in the hydrogen plasma can enhance the erosion of samples as the impurity gases are injected into hydrogen gas.

Abstract:In this paper, we establish the physical model of semiconductor-based epitaxial graphene. By considering the atomic non-harmonic vibration, we have the variations of the hybrid potential and thermoelectric potential of semiconductor-based epitaxial graphene with chemical potential and temperature are investigated, respectively. The influence of atomic non-harmonic vibration on the thermoelectric effect is also discussed. The results show that: 1) The hybrid potential is independent of temperature under the simple harmonic approximation. If the first non-harmonic term is considered, the hybrid potential increases with increasing temperature. However, if both the first and second non-harmonic terms are considered, the hybrid potential decreases with increasing temperature. 2) At a given temperature, the variation curve of thermoelectric potential of epitaxial graphene with chemical potential is left-right asymmetric at the chemical potential of zero, and there is a mutation near the chemical potential eV. 3) At a given chemical potential, the thermoelectric potential of epitaxial graphene is similar to that of single-layer graphene, namely that both decrease nonlinearly with increasing temperature, while the thermoelectric potential value of epitaxial graphene is larger than that of single-layer graphene. Compared with the simple harmonic approximation, the non-harmonic effect can reduce the thermoelectric potential value of the epitaxial graphene with a small amount. The influence of the non-harmonic effect on the thermoelectric potential increases slowly with increasing temperature, ranging from 0.23% to 0.25%.

Abstract:To characterize composite lightning ablation damage, mechanical material properties degradation model due to lightning strike ablation damage was presented based on the method of phenomenological analysis. A 3D progressive damage degradation model with lightning ablation damage on composites was constructed using the method of continuum damage mechanics (CDM), in which Hashin and Yeh delamination failure criteria were employed to verify the occurrence of failure point. According to the model constructed, residual strength of composite coupons with lightning ablation damage under tensile load was predicted through ABAQUS software combining the UMAT subroutine, which was coded by the stiffness matrix progressive damage degradation model. Tensile residual strength simulation accuracy demonstrates the efficiency of the constructed model.

Abstract:In order to explore the correlation among the common genes, specific genes and differentially expressed genes (DEGs) of mycelium (AaM) and spore (AaS) samples of Ascosphaera apis cultured in lab condition with the fungal growth, development, reproduction and pathogenicity, comparative transcriptome analysis of AaM and AaS was performed using RNA-seq technology and bioinformatic methods, followed by RT-qPCR to confirm the reliability of the sequencing data. The results showed that there were 7,362 genes shared by AaM and AaS, involving 44 functional terms and 122 pathways. The specific genes of AaM and AaS were 195 and 278, respectively. In AaM vs AaS comparison group, 977 up-regulated genes and 687 down-regulated genes were discovered, which were associated with 32 and 32 functional terms, respectively. Additionally, the DEGs mentioned above were related to 113 pathways such as glycolysis/gluconeogenesis and biosynthesis of secondary metabolites. Based on comparative transcriptome analysis, it’s revealed that the common genes, specific genes and DEGs may participate in the growth, development and reproduction process of A.apis mycelium and spore through regulating several pivotal pathways such as cell activity, metabolic process, endocytosis and MAPK signaling pathway.

Abstract:The ribosome-inactivating proteins of Jatropha curcas curcin and curcin C have antitumor activity, but the activity level of the latter is significantly higher than the former. In order to explore the structural basis for this difference, the online homology modeling prediction software SWISSMODEL was used to predict the threedimensional structural models of the ribosomal inactivating proteins curcin and curcin C. SYBYL was used to optimize the energy of the prediction model, and PROCHECK, VERIFY 3D and ERRAT software were used to evaluate the quality of the model before and after the optimization, and then AutoDock software was used to analyze the predicted model and adenine for molecular docking. The results show that the two proteins interacted with adenine in a similar way to Ricin A, but there were differences in the types and number of amino acid residues that interact, as well as the hydrogen bonds and hydrophobic interactions formed. Among them, curcin C had the strongest binding ability with adenine, and curcin had the lowest.

Abstract:This study aims to explore the effect of the novel small molecule inhibitor Napabucasin on the proliferation and migration of colorectal cancer cells. Firstly, the interaction mechanism between Napabucasin and STAT3 was analyzed by molecular docking. Then, it was proved that Napabucasin can significantly inhibit the colony formation and migration ability of colorectal cancer cells using clone formation experiments and wound healing assay. Napabucasin and Wnt agonist 1 were then used to cotreat the HCT116 cells, combined with Western blot experiments, it was found that the Wnt signaling pathway mediates the inhibition of the migration and proliferation of colorectal cancer cells by Napabucasin. The research results show that Napabucasin can inhibit the proliferation and migration ability of colorectal cancer cells in vitro, and the Wnt signaling pathway is involved in mediating this inhibition process.

Abstract:To identify and analyze the main ingredients of Salvia chinensis and to explore its therapeutic targets for gastric cancer, HPLC-Q-TOF-MS/MS was used to analyze the water dissolved compositions in Salvia chinensis and the TCMSP platform was used to screen the potential active ingredients. The results showed that a total of 48 compounds were identified, mainly including phenolic acids, flavonoids and other common substances. And among 48 compounds, there were 9 ingredients owning excellent in vivo activity. The therapeutic targets of the active ingredients were obtained by searching the Swiss Target Prediction database, and then taking the intersection with the gastric cancer targets retrieved from the DisGeNET database, a total of 18 targets for the treatment of gastric cancer were obtained. GO and KEGG pathway enrichment analysis using DAVID revealed that the components from Salvia chinensis involved 48 biological processes (BP), 8 cellular components (CC), 27 molecular functions (MF) and 8 pathways in the treatment of gastric cancer. Finally, STRING database and Cytoscape software were used to construct a PPI network. The results showed that target proteins such as EGFR、CDH1、CTNNB1、PTGS2、EGF, etc. played a key role in the PPI network. It can be concluded that there are various active ingredients in Salvia chinensis, and they can treat gastric cancer mainly by inhibiting proliferation, migration, inducing apoptosis, reducing drug resistance through drug reaction, plasma membrane, enzyme binding, etc.

Abstract:In order to obtain high-yield algae strains that meet biodiesel standards, the growth, lipid yield and fatty acid composition of Phaeodactylum tricornutum wild-type(WT), Phaeodactyllum tricornutum with glycerol kinase overexpression (GKOE) and glycerol kinase RNA interfered(GKRNi), which were cultured in a medium supplemented with 20 mmol/L exogenous glycerol, were investigated. The results showed that: (1) the cell concentration of GKOE in the medium with exogenous glycerol could reach 2.23×107 /mL, significantly higher than WT(1.79×107 /mL) and GKRNi(1.78×107 /mL) in the medium with exogenous glycerol; (2) the lipid content of GKOE in the medium with exogenous glycerol was up to 31.73%, which was much higher than WT(27.20%) and GKRNi(26.63%) in the medium with exogenous glycerol; (3) the fluorescence intensity of GKOE in the medium with exogenous glycerol was 16.26% and 17.83% higher than WT and GKRNi in the medium with exogenous glycerol by Nile red staining, respectively; (4) the total fatty acid yield of GKOE reached 0.052 mg/mL, which was 16.26% and 17.83% higher than WT and GKRNi in the medium with exogenous glycerol, and suitable for biodiesel development.