Abstract:In this paper, we consider the third-order differential equation with piecewise constant argument. We first give the form of the solution in term of the solution of the corresponding difference equation. Then we give some results on the periodicity and almost periodicity for the solutions.

Abstract:In affine differential geometry, the geometric and topological behavior of locally strongly (uniformly) convex immersed surfaces（hypersufaces） are very complicated, so are their Euclidean boundaries. In this paper we construct a new locally strongly convex ( but not globally convex) immersed surface(hypersurfaces) with flat Euclidean boundary in $\mathbb{R}^{n+1},(n=2，3)$ , respectively, which are different from an existing conclusion.

Abstract:The union-closed sets conjecture (Frankl's conjecture) says that for any nite union-closed family of nite sets, other than the family consisting only of the empty set, there exists an element that belongs to at least half of the sets in the family. Recently, two stronger versions of the Frankl's conjecture (S_1-Frankl conjecture and S_2-Frankl conjecture for short) were introduced and partial proofs were given. In particular, it was proved that S_1-Frankl conjecture holds if n<=5, where n is the number of all the elements in the family of sets. In this paper and its sister paper, we prove that it holds if n = 6. This is the first part of the proof.

Abstract:In this paper, according to the time series characteristics of financial data, such as stock index, stock price, etc, we introduce the Artificial Neural Network (ANN) and Recurrent Neural Network (RNN) in deep learning to stock index prediction and build a BP-LSTM model based on the Back Propagation (BP) neural network model and Long Short-Term Memory (LSTM) neural network model. Numerical analysis shows that the accuracy of our model is higher than that of the traditional machine learning models, and it also has some improvement compared with the ordinary LSTM model.

Abstract:In this paper, we obtain the equivalent characterizations for the boundedness,compactness, and Schatten class properties of the product of Volterra type integral andcomposition operators between generalized Fock spaces in terms of certain Berezin transforms on the complex plane C. We also estimate the essential norms of these operators in terms of the Berezin transformations.

Abstract:We consider the long-time behavior of the non-autonomous p-Laplacian equation and prove that the process associated with the equation is asymptotically compact, where the forcing term only satisfies an integral condition. By using the uniform tails estimates of solutions, we obtain the existence of the pullback attractor.

Abstract:In this paper, fractional-order memristor (fracmemristor), a novel basic element of brain-like computing, is discussed.The concept of memristor is extended from the conventional integer order to the fractional order, i.e. the fracmemristor. Fracmemristor is a compound word of fractional-order memristor, whose fractional impedance is fracmemristance. Accordingly, it is natural to think of a range of theoretical challenges: What is the relationship of fracmemristor to the conventional fractor and the famous memristor? What are the interpolation properties between the memristor and the capacitor or inductor? Where is the location of fracmemristor in the Chua's circuit periodic table? What are the general expressions for fracmemristances of arbitrary-order ideal capacitive and inductive fracmemristors? What are the measuring unit and physical dimensionality of fracmemristor? What are the fingerprint features for identifying fracmemristor? How to implement arbitrary fractional-order memristor effectively in the form of analog circuit with ordinary memristor, capacitor and inductor? This paper makes preliminary discussions on the above challenging theoretical problems based on abundant prior exploratory findings. The fracmemristor solves the problem that fractor is difficult to realize the function of memory charge or magnetic flux. As a basic circuit element, the fracmemristor can be applied to the design of chaotic system, neural circuit and neural network circuit.

Abstract:In the cloud environment, traditional physical servers are gradually being replaced by various virtual machines．The storage space, occupied by virtual machine images hosted in cloud data centers, has increased dramatically．How to efficiently manage these image files has become one of research hotspots in the cloud computing．Due to the large number of blank duplicate blocks inside the virtual machine image, which leads to a high degree of internal redundancy of the image．Second, different virtual machine images may run the same operating system and applications, so that there is more duplicate data between the images．For a large number of virtual machine images, the traditional deduplication strategy will generate huge time overhead, and will consume huge memory space and CPU resources, which will affect the performance of the data center．This paper proposes a multilevel deduplication method based on improved Simhash algorithm for massive virtual machine images, which divides a complete image file into operating system image segment and application data image segment, extracts the feature values of each part, and uses DBSCAN clustering algorithm for grouping the image segments．In this way, the image segments with higher similarity are grouped into one class, thereby decomposing the global deduplication into smaller internal weights with higher repetition rate, and the fingerprint index data is completely stored in the memory．This deduplication algorithm greatly reduces the number of disk I/Os and shortens the deduplication time.

Abstract:According to the defects of the classic text matching model in the question and answer system, a questionbased importance weighting network for answer selection is proposed. At present, the existing answer selection model generally matches the question sentence and the answer sentence directly, ignoring the influence of noise words in the question sentence and the answer sentence on the match. To solve this problem, the selfattention mechanism is firstly used to modify the weight of each word in the sentence to generate a "clean" question sentence vector. The wordlevel interaction matrix is then used to capture the finegrained semantic information between the question sentence and the answer sentence. It weakens the influence of noise words on the correct answer. Finally, the multiwindow CNN is used to extract the feature information to obtain the prediction result. The comparison experiments on benchmark datasets show that the performance of the BIWN model in the answer selection task is better than the mainstream answer selection algorithm, and the MAP value and MRR value are improved by about 0.7%～6.1%.Finally, the multi-window CNN is used to extract the feature information to obtain the prediction result. The comparison experiments on benchmark datasets show that the performance of the BIWN model in the answer selection task is better than the mainstream answer selection algorithm, and the MAP value and MRR value are improved by about 0.7%-6.1%.

Abstract:Force-Directed layout has the defects of display complex network community structure.Although the cluster layout algorithm can display the community structure,the nodes in the community are crowded,which is not conducive to observing the structural features and the connected relationship of nodes in the community.therefore,Force-Directed embedded in community radius and radial tree hybrid layout algorithm is proposed.Firstly,The algorithm uses the K-means algorithm to divide the network nodes into communities.Then,the community radius is determined by the number of nodes in each community,and the community radius is embedded into the repulsion and gravity to achieve the effect of cluster layout.Finally,the radial tree layout is used for each community to hierarchically visualize nodes within the community.In the experiment,congestion ratio,point distribution deviation,node deviation and other indicators are used to show that the algorithm can reduce the congestion and the node layout deviation.The visual results prove that the layout structure of the algorithm is obvious,and the nodes are clearly structure and easy to understand.

Abstract:The public data sets in named entity recognition research are often class label imbalanced,which limits the further performance improvement based on statistical learning model methods. Aiming at the above problems, a data class label balancing method based on genetic algorithm is proposed, which modifies the fitness function and gene combination rules tried to balance the dataset by generating new samples to augment the original dataset. In order to verify the validity, the proposed method was compared with the balanced undersampling method and the random oversampling method by using the BiLSTMCRF model on the CoNLL 2003 and JNLPBA datasets respectively. The results show that the proposed method increased the recall rate by 3.26% and the F1 value by 1.70% on the CoNLL2003 dataset, and the recall rate by 2.44% and the F1 value by 1.03% on the JNLPBA dataset. The experimental results demonstrate that the proposed method can effectively alleviate the class imbalance and improves the effect of named entity recognition.

Abstract:In order to develop and validate the quantum image processing algorithm on quantum computer, combined with quantum computing operation on IBM quantum experiment platform (IBM Q) and quantum image processing theory, a quantum image segmentation method based on IBM Q platform was designed. An improved enhanced quantum representation (IEQR) was proposed based on the existing novel enhanced quantum representation (NEQR). The quantum image segmentation circuit, which consists of the quantum bit string comparator (QBSC) and the Controlswap (Cswap) gate, is initialized according to the IEQR. Finally, quantum image segmentation of 2×2 and 4×4 size images are realized on IBM Q and local classical computer simulator. The experimental results demonstrate the feasibility and effectiveness of the algorithm and the superiority of quantum computers is validated.

Abstract:Many scholars have made some achievements in aggregation analysis of terrorist events by using the data set of "Global Terrorism Research Database"(GTD) with game theory, knearestneighbor method and support vector machine. However, data sparsity and highdimensional multiredundancy are not well considered in the previous research, which may lead to low accuracy of clustering classification. This paper proposes a TFM classification model based on "Minimalredundancy maximalrelevancy" (mRMR) combined with " Factorization Machines " (FM), in which the incremental search method is used to find approximately optimal features to address the highdimensional multiredundancy and the data sparsity is tackled with FM method. TFM model is then used to make quantitative classification on the preprocessed terrorist attack data. The experimental results show the proposed TFM model, in terms of Matthews correlation coefficient (MCC), is increased by 49.9%, 2.5% and 2.3% respectively compared with naive Bayes (NB), support vector machine (SVM) and logistic regression (LR). The comparative result demonstrates that TFM model is feasible to some extent.

Abstract:To solve the problems on high nonlinearity in spectral features in hyperspectral image classification， a classification algorithm， based on multilayer perceptron convolutional layer and batch normalization layer improved convolutional neural network in spectral domain processing， is proposed to improve the nonlinear feature extraction ability. By constructing a sevenlayer network structure， the algorithm implements a multilayer local sensing structure， analyzes the spectral information pixel by pixel， distinguishes the spectral information of different targets， takes the full spectrum segment set as input， discards the spatial information， and uses the momentum gradient descent training. The algorithm trains multilayer local perceptual convolutional neural networks to realize the extraction and classification of spectral features of different target objects. In the experiment， two sets of hyperspectral remote sensing images are used for comparative analysis. Taking the Pavia University data set as an example， in the case of 3 600 training samples， the test set is 1 800 samples， the accuracy of the proposed method is 9023% and the accuracy of the LeNet5 and LinearSVM method are 8794% and 9000% respectively. In the case of 21 000 training samples， the test set is all samples， the accuracy is 9723%， 9664% and 9240% respectively for the proposed method， LeNet5 and LinearSVM method. The experimental results show that the proposed method is superior to the traditional neural network in the case of small training set， which can effectively extract the data features， and is superior to SVM algorithm for the small sample classification in terms of accuracy and computational cost. In the largescale training set， this method shows good learning ability and is superior to LeNet5 in classification accuracy. The multilayer local perceptual network structure proposed in this paper enhances the learning ability of nonlinear features， it can utilize hyperspectral images much more effectively than traditional SVM and general deep learning networks， both in small sample classification and large sample classification. The spectral domain information of the pixelbypixel point can effectively improve the classification accuracy.

Abstract:In quantum chromatic dynamics (QCD) theory, Gell-Mann-Oakes-Renner (GMOR) is a low-order approximate identity which associates with quark condensation, meson mass and pion decay constant at zero temperature. In this paper, according to the QCD efficient theory and the Nambu-Jona-Lasinio (NJL) model, based on the two-flavor NJL model and the Proper Time Regularization (PTR), we derive the temperature dependence of quark condensation and the temperature dependence of quark mass in Quark condensation at finite temperature, and try to study the establishment of GMOR relation under this temperature condition. The results show that near zero temperature, the GMOR equation is valid within the allowable range of error, but with the increase of temperature, beyond a certain limit, the equation is no longer valid, and the deviation between the two sides of the equation is increasing.

Abstract:A focusing system for neutral particle calibration source has been designed. Three dimensional electromagnetic simulation software CST has been used to simulate the transmission of the beam in the neutral particle calibration source. The distance between the single lens and the accelerating tube, as well as the influence on the focus voltage and the acceleration voltage on beam trajectory have been investigated. In addition, a plastic scintillator has been used to preliminary measure the profile of the beam flow on the ion source testing device. The experimental results are consistent with the simulation calculation, and our work has important reference value for the calibration of neutral particle analyzer.

Abstract:Molecular dynamic simulations were conducted to simulate the collision cascades in HCP zirconium induced by self-recoils in 300 K with primary knock-on atom (PKA) energies setting from 10 keV to 50 keV. Three point defects identification methods, including off-site atoms judgment, SIAs(self-interstitial atom, SIA) determination and WS cell segmentation were used to analyze simulation results. Comparing with the difference of defects evolution, defects statistical fluctuation and robustness of the identification methods, the approach based on the principle of Wigner-Seitz (WS) cell segmentation is considered to be more appropriate in point defects analysis. In addition, the basic diffusion feature of SIA was studied, and the results showed that it is more inclined to a 2D diffusion.

Abstract:A potential method to produce the high-intensity keV high-order harmonic generation spectrum and the attosecond pulse has been proposed by using the inhomogeneous combined field. The results showed that with the proper superposition of two-color multi-cycle mid-infrared field and a few-cycle near-infrared field, the harmonic cutoff can be extended and a harmonic plateau contributed by the single quantum path can be obtained. Thereafter, by properly adding an ultraviolet pulse, the signal of the harmonic plateau can be enhanced by 500 dB due to the resonance ionization. Finally, by superposing some selected harmonics, some attosecond pulses shorter than 35 as can be obtained.

Abstract:The electronic structures and optical properties of intrinsic, Co, Mo doped and Co-Mo codoped Al2O3 compounds are calculated by using first-principles plane-wave ultrasoft pseudopotential method based on the density functional theory. The results show that the binding energies of Mo single doping and Co-Mo co-doped Al2O3 are low and easy to synthesize. Both Co and Mo dopings belong to the n-type doping, which can enhance the carrier concentration of the doping system, and thus improving the conductivity of Al2O3. The impurity levels of the doped system are mainly composed of co-3d state electron and mo-4d state electron，which are the intrinsic factors that affect the optical properties of doped Al2O3. After doping, the absorption spectrum is redshifted and the optical properties change mainly in a low energy range. The transmittance of the Al2O3 film in the range of 200~800 nm is about 92%. The transmittances of the Al2O3 doped by Mo single and co-doped by Co-Mo are as high as 93~98% in the band of 600~780 nm. In the short-wave ultraviolet region of 200~280 nm, the transmittance of Co single doping can be as high as 95%. Therefore, three doped Al2O3 can be used to prepare various optical transmission films.

Abstract:The coordination polymers ([Dy(TZI)(H2O)4]•4H2O (1) and [La(HTZPI)(HC2O4)(H2O)3]•H2C2O4 (2)) have been synthesized by involving the bifunctional ligands (5-tetrazolylisophthalic acid (H3TZI) and 5-(4-(1H-tetrazolyl) phen) isophthalic acid (H3TZPI)) as linkers coordinating with rare earth metal ions (Dy3+/La3+). The using synthesis methods are hased on solvothermal synthesis and slow solvent evaporation. Crystal structures are characterized by X-ray single crystal diffraction, which show that the two compounds correspond to one-dimensional double-stranded chain and two-dimensional layer structure, respectively. It is notable that for this bifunctional ligand the tetrazolyl group is invalid when it coordinates with rare earth metal centers. Meanwhile, the thermal stabilities and the luminescent properties of them are investigated.

Abstract:The theoretical prediction of the high stability of the SiLi5+ cluster was investigated. Moreover, the SiLi5+cluster can bind effectively up to 15 hydrogen molecules at most, and its theoretical mass hydrogen storage density reaches 32.3 wt%. At the B3LYP theory level, the average adsorption energies per H2 molecule of the interaction between H2 molecules and SiLi5+ cluster are in the range of 1.36~2.62 kcal∙mol-1. From the point of view of the average hydrogen adsorption energy, the present systems meet the thermodynamic requirement for reversible hydrogen reaction, and it can be used as an ideal candidate material for hydrogen storage.

Abstract:Based on support vector machine (SVM) algorithm, a fast and accurate method is proposed to distinguish the classically and non-classically secreted proteins from cancer cells. By a strict feature selection, the optimal feature set is obtained which consists of amino acid composition (AAC), position specificity score matrix (PSSM) and signal peptide (SP). The test results show that our method has strong ability to distinguish the non-classically secreted proteins (NCSPs) from the classically secreted proteins (CSPs) of cancer cells, which may provide theoretical reference for finding common biomarkers among different kinds of cancers.

Abstract:In this work, the flower-like CuS was prepared by solvothermal method using CuSO4∙5H2O and S. The parameters, such as the mass of PVP, the mole ratio of Cu and S, the reaction time and the temperature, were carefully investigated by using the orthogonal matrix experimental method. Then, polyaniline/CuS composites were synthesized by in-situ polymerization and recombination method. The flower-like CuS was characterized by FT-IR, XRD and SEM. The near infrared absorbing capacity was test by Solid-state Diffuse Reflectance UV-Vis-NIR Spectra. The results indicate that the flower-like CuS with the diameter of 5~8 μm can be obtained under the best conditions for the mole ratio (Cu:S) of 1:2, the reaction temperature of 200 oC, the reaction time of 6 h and the mass of PVP of 0.25 g. The near infrared absorbing capacity of polyaniline/CuS composite adding 30 wt% CuS can achieve 2.1 a.u at 650 nm.

Abstract:A novel chitosan modified material, CTS-AM-AO-DA was synthesized through the crosslinking of chitosan with amidoxime group and (1-(dimethylamino)allyl) phosphonic acid (DMAAPA) as the uranium adsorbent from seawater. The chemical structures and appearance of the polymers were characterized by the FT-IR spectrum and the SEM. The adsorption kinetics in simulated seawater and the effects of solution pH, salinity, and competing ions on the adsorption properties of materials were studied by using adsorption experiments. The equilibrium adsorption capacity of CTS-AM-AO-DA is 223 mg/g and the adsorption dynamic data are applicable to the quasi-second-order model. Weak alkalinity (8.0), high salinity (0.5 mol/L) or the presence of competitive ions (Ca2+, Mg2+, V5+) can not affect the adsorption properties of this material (CTS-AM-AO-DA) that provides the potential applications in real seawater environment.

Abstract:This study aims to explore the role of Cordyceps cicadae extracts (CCE) in resistance against H2O2 -induced oxidative stress and chronological lifespan extension in Saccharomyces cerevisiae. The experiments are performed with various concentrations of CCE to test the chronological lifespan extension. Then, the resistance against H2O2 induced oxidative stress was measured in terms of intracellular ROS accumulation. The mRNA levels of SOD2, GPX2 and CTT1 were measured by real -time PCR. The results indicate that CCE can prolong yeast chronological lifespan in a dosedependent manner. Furthermore, the CCE pre-treated cells accumulate significantly lower ROS in the case of H2O2-induced oxidative stress. Taken together these results suggest that CCE extends chronological lifespan and develops resistance against H2O2 induced oxidative stress through upregulation of CTT1 and SOD2.

Abstract:To ascertain the population and habitat status of Golden Pheasant (Chrysolophus pictus) in Baishuihe National Nature Reserve and its surrounding areas in Sichuan province, transect surveys and call counting method were used to investigate the population density of Golden Pheasant, quadrat sampling method was performed to study their microhabitat selection during breeding season of 2018. The results showed that: the average population density of Golden Pheasant was 5.300±1.086 individual/km2 during the breeding season. It was estimated that there were about 402 in study area, of which about 209 were in reserve area. Golden Pheasants preferred to select microhabitat with lower altitude, lower slope position, closer to water resource, more primitive vegetation, better developed arbor and shrub stratum, and lower coverage of rock and bare soil. The survey found that Golden Pheasant was mainly distributed in the experimental area of the reserve with low altitude in protected area and its surrounding region, where was under intense human disturbance including tourism, herb medicine collection and so on. Therefore, to protect Golden Pheasant and its habitat, it is necessary to control human activities and develop tourism resources reasonably in low-altitude areas.

Abstract:In order to expand the cultivation substrate of Ganoderma lucidum and apply the new strain, the method of cultivating Ganoderma lucidum with juncao and analyzing its protein, amino acid, polysaccharide and triterpene was used. The cultivation characteristics and nutrient and effective active components of introduced Ganoderma lucidum strain Nan-GL11 were analyzed. The results indicated that when Nan-GL11 and HanZhi-1 were cultivated with antlers Ganoderma lucidum, Nan-GL11 was antler like, while the main cultivated variety HanZhi-1 was bead-like, and the shape of Nan-GL11 was superior to HanZhi-1. The stipe of Nan-GL11 was significantly longer than that of Hanzhi-1 by 7.4%. The stipe diameter of Nan-GL11 was slightly thicker than that of Hanzhi-1, but without significant difference. The fresh and dry yield of Nan-GL11 was significantly higher than Hanzhi-1 by 40.9% and 21.4%, respectively. Their fresh-dry ratio was 2.55 and 2.18, respectively. The contents of polysaccharide and total triterpenoid in antler-shape Nan-GL11 cultivated with Juncao were higher than that in Nan-GL11 by 28.57% and 10.2%, respectively, and with a significant difference between them. The contents of crude protein and amino acid in Nan-GL11 was slightly lower than that in Hanzhi-1 but without significant difference, and they had the same amino acid components with 17 kinds of amino acid. Tryptophan was unable to be checked out probably because of the acid decomposition. Because of good shape, high yield and effective active ingredients of the Nan-GL11 antlers when cultivated, antler-shape Nan-GL11 has good prospects for popularization.

Abstract:To explore the effect of Aclarubicin (ACL) and Mitoxantrone (MTX) combination, we detected the effects of the two drugs on the survival rate of the L929 cell line by cell survival kit and Annexin V/PI double staining. The results showed that ACL reduced MTX induced cell death. In vivo complex of enzyme assay (ICE assay) showed that MTX significantly promoted the formation of TOP2-DNA complexes, but ACL significantly reduced the level of this complex. Western blotting showed that compared with MTX treated cells, the combination of ACL and MTX can significantly reduce the formation of γH2AX protein, indicating that ACL can reduce MTX-induced DNA damage. This suggests that ACL countered MTX induced cell death via reducing TOP2-DNA formation, implicating that ACL might play an antagonistic role against MTX.

Abstract:This study aims to investigate the role of highly expressed genes (HEGs) in the midguts of Apis cerana cerana workers responding to Nocema ceranae stress, normal 7- and 10-old day workers' midguts (Ac7CK and Ac10CK) and N. ceranae-stressed 7- and 10-old day workers' midguts (Ac7T and Ac10T) were analyzed using RNA-seq, bioinformatics and RT-PCR. 1809736786 raw reads were produced, and 1562162742 clean reads with Q30 ≥93.34% were gained after quality control; Pearson correlations between every sample within each group were above 0.8728. Based on the standard of FPKM value >15. 3163, 3312, 3305 and 2426 HEGs were screened out from Ac7CK, Ac7T, Ac10CK and Ac10T, respectively. Venn analysis showed there were 2074 shared HEGs in aforementioned four groups, and the number of specific HEGs were 89, 283, 156 and 78, respectively. GO classifications indicated specific HEGs in Ac7T and Ac10T were repsectively associated with 35 and 28 GO terms, among them cellular process was the largest one. Moreover, KEGG pathway enrichment analysis demonstrated specific HEGs in Ac7T and Ac10T were repsectively enriched in 39 and 37 pathways, and ribosome and protein processing in endoplasmic reticulum were the mostly abundant. Further exploration showed host material and energy metabolisms as well as cellular and humoral immune were activated to various degrees; additionally, close interactions existed between A. cerana cerana and N. ceranae. Finally, eight shared HEGs were randomly selected for RT-PCR validation, and signal bands were sucessfully amplified from them, indicative of the authenticity of HEGs in the study. These findings not only reveal the expression profile and putative role of host HEGs during the responses of A. cerana. cerana to N. ceranae stress, but also offer beneficial and valuable information for uncovering the molecular mechanisms regulating of host stress responses and A. cerana cerana-N. ceranae interactions.

Abstract:In the DNA triangle nanostructure, its corner is composed of Holliday junction in DNA homologous recombination.To further investigate it，the DNA triangle was modified by introducing the sticky end to the holiday junction motif to make it selfassemble into a DNA nanostructure.The gel electrophoresis analysis showed that the migration rate of this new DNA nanostructure was faster than that of the DNA triangle. Without the distortion，the motif assembled to form a dimer structure instead of a trimer triangle. The DNA nanostructure was crystallized and modified with selenium to obtain high quality crystals. The DNA nanostructure and the structure of the Holliday motif under non-twisting tension will be further studied and determined in order to offer more insights into DNA nanomaterial interaction and self-assembly.