Abstract:In this paper,we study the existence of positive solutions of boundary value problem for third-order nonlinear ordinary differential equations. The proof of the main result is based on Dancer global bifurcation theorem.

Abstract:Let φ and ψ be analytic self-maps of the open unit disk D in the complex plane. In this paper, we give some new characterizations of the boundedness and compactness for the differences of differentiation composition operators C_φ D^n-C_ψ D^n on the Bloch space B.

Abstract:A new non-interior point algorithm is proposed for solving the circular cone programming (CCP). Based on the relationship between the circular cone and the second-order cone, a projection equation that is equivalent to the complementary condition of the CCP is introduced.Then the problem is transformed into a linear system of equations. The method only needs to solve the linear equations with the same coefficient matrix and compute two projections at each iteration. Moreover, the algorithm can start from an arbitrary point and does not require the row vectors of the affine constraint coefficient matrix to be linearly independent. Under weaker assumptions, the global convergence of the algorithm is proved. Numerical results show that the algorithm is fast and effective.

Abstract:Let k be a finite field and A be an essentially small hereditary Abelian category over k satisfying some finiteness conditions.This paper considers the structure constants of the products of complexes with zero differentials in MH(A) and show that it is related to the Hall number of the Ringel-Hall algebras H(A).

Abstract:By using the complex transform and conformable fractional derivative transform methods, the (3 + 1) dimensional fractional Jimbo-Miwa equation is transformed into an ordinary differential equation. Then the expanded (G'/G) expansion method is used to study the fractional JM equation. The hyperbolic function solution, trigonometric function solution and rational function solution are obtained.

Abstract:In this paper, a model of random walk that is absorbed and reflected by a certain probability at 0 in independent and identically distributed random environment on the right half-line is given. The recurrence and limit properties of the model are discussed and the absorbing probabilities are calculated .

Abstract:This research studies the dynamic bifurcation and stability of solutions for a generalized Fisher equation. The complete criterion, types and properties of dynamical bifurcation are obtained by center manifold reduction method and attractor bifurcation theory. Some characterizations of basins of attractors are given. These results improve the known results.Numerical simulations are provided to verify the theoretical analysis.

Abstract:With the increase of the number and type of malicious code, it is necessary to detect malicious code quickly and effectively. One of the key point is the feature extraction of malicious code. Aiming at the insufficiency of the feature extraction speed of malicious code bytecode sequences in the existing methods, a method of GPU acceleration to extract the features of malicious code bytecode sequences is proposed. Computeintensive tasks such as the feature extraction of bytecode and the calculation of TFIDF features in traditional methods are transferred to the GPU for parallel computing by using the more mature CUDA architecture. The experimental results show that the method has a speed increase of 2 to 4 times for data sets with different sample file sizes,which greatly improves the speed of feature extraction of malicious code bytecode sequences.

Abstract:A method for detecting bottled liquor impurities based on machine vision was introduced. In order to extract small detection targets from a complex image, an inverted flipping detection method was designed. A high-resolution digital video camera was used to acquire the video sequence of the bottled liquor. After that, an improved seconddifference method was utilized to detect possible tiny moving targets in the liquid. Morphological characteristics of the bubbles and visible impurities were used to estimate whether the liquor contains impurities. The experiments demonstrate the effectiveness of the proposed method.

Abstract:This paper proposes an automatic article author name disambiguation method based on rule matching and machine learning. For each article, the candidate authors are determined based on artificial constructed name matching rules firstly. For the cases of multiple candidates, features are extracted from the attribute information of the article, such as collaborators, title, abstract, key words and publication name, and then selected machine learning models are applied to author name disambiguating. The experimental results show that the K-nearest neighbor and Softmax classifier are more suitable for the author name disambiguation task than other models. In addition, extracting features of the authors information from other information separately can effectively improve the accuracy of the author name disambiguation.

Abstract:To tackle the problem that the current urban functional regions division are manual completed and do not fully use the spatiotemporal data in urban regions, an approach for detecting urban functional regions is proposed based on sematic mining from spatiotemporal data. In which, a rectangular area of the city is first selected as a research sample and divided it into some valid basis region units according to its buildings. Dirichlet multinomial regression (DMR) topic model is then implemented for the checkin and POI(points of interest) data from Sina weibo in these basis region units and the functional vectors of the basis region units are obtained. Finally，the functional regions are discovered with vector clustering algorithm and POI’s category proportion. The experimental results show that this approach has higher accuracy compared with the kmeans clustering method based on POI density and urban functional area detecting approach based on latent Dirichlet allocation (LDA) topic model. Therefore，The activity patterns of people identified by location checkin data can reveal the differences between urban functional areas and have a good effect on urban geospatial analysis.

Abstract:A novel solution method, circuit simulation method, is proposed for the BagleyTorvik equation with constant coefficient. The core idea of this method is to construct microproduct operator: sμ(－1＜μ＜0) by the classical fractional approximation circuit to replace the fractional derivative:0Dμt(－1＜μ＜0). The circuit simulation method converts the impedance function of impedance approximation circuit into the transfer function module in Simulink which is then used to build the simulation block diagram to solve the fractional differential equation. Comparing the circuit simulation method with the traditional numerical method, namely the numerical approximation method and the Green's function method. The comparison results show that the solving results of circuit simulation method is stable and reliable, and the actual circuit based on the simulation block diagram can be built to solve the fractional differential equation in real time.

Abstract:The direct sampling algorithm has certain difficulties in practical application because it introduces a number of parameters that need to be manually adjusted during the reconstruction process. Aiming at this problem, an adaptive direct sampling core threedimensional (3D) reconstruction algorithm is proposed. the image is first reconstructed step by step with threelevel grid. Secondly, Gaussian weighting is used to improve the accuracy of pattern match. Then, according to the conditional data points of the data event to be matched, the pattern search range is adaptively selected, and the center point of the minimum distance pattern is assigned to the point to be simulated. Finally, the proposed algorithm and the traditional direct sampling algorithm are used to perform 3D reconstruction for multiple reservoir core images respectively. The effectiveness of the adaptive direct sampling core 3D reconstruction algorithm is demonstrated by comparing the difference between the reconstruction result and the real structure in the statistical distribution and pore structure.

Abstract:Academic achievement is the most important and most basic indicator for evaluating a student's learning situation. The analysis of academic performance is beneficial to teachers to master a student's learning situation and conduct the targeted teaching and counseling, while for the students, knowing in advance what happens to their future learning is also beneficial for students to discover their own problems which could be prevented in advance. Most of the existing research work is based on the analysis of the curriculum, historical performance or behavioral data to predict the student's total score, while few studies focus on combining a student behavior with his or her grades to comprehensively predict a student’s learning in all future courses. This paper, from a new perspective, uses the three aspects data of student behavior, personal attributes and historical achievements which are identified by the influencing factors based on students' different curriculum dynamics in the future, the early warning of students' achievement is predicted with support vector machine, the experiment results show the exploratory work of data mining applied in education has certain significant meaning for the teachers as well as for students.

Abstract:JavaScript is a dynamic scripting language originally designed to improve the interactive capabilities of web pages. However, attackers use this peculiarity to execute malicious code on web pages, posing a huge threat. The traditional method based on static feature detection is difficult to detect the malicious code after confusion, and the method based on dynamic analysis has low efficiency. This paper proposes a static detection model based on semantic analysis. By extracting the lexical unit sequence features of abstract syntax tree, the word vector is modeled by word2vec, and the generated features are input into the LSTM network to detect malicious JavaScript. Experiments show that the model can effectively detect confused malicious JavaScript code and improve the detection speed, with a precision of 99.94% and recall of 98.33%.

Abstract:In this paper, a physical model of graphene adsorption system is established. The interaction energy between graphene atoms and adatoms is calculated in the case of considering the anharmonic vibration of the atom and the electron-phonon interaction. By means of the statistical physics theory and method, we obtain the probability of adsorption adatoms and the temperature-dependence analytic equation of the number of mental atoms charge filling. Taking alkali metals as an example, we discuss the effect of the electron-phonon interaction and the atomic anharmonic vibration on the number of charge filling. The results show that the charge filling numbers of graphene adsorption system decrease linearly with the enlargement of distances of adatoms and increase nonlinearly with the increase of temperature and electron-phonon interaction energy. If the anharmonic vibration is neglected, the number of charge filling is independent of distance and temperature etc. The anharmonic vibration is more obvious when the temperature becomes higher or the electron-phonon interaction energy becomes smaller.

Abstract:Doubly special relativity (DSR) is an effective model to describe quantum gravity in flat spacetime. One way to incorporate this formalism into curved spacetime is the “rainbow gravity”, where the background spacetime is dependent on the energy of the probing particles. The form the energy dependent metric actually depends on the choice of the orthonormal frame. In this paper, we consider the rainbow static cylindrical black hole, namely the rainbow black string, in the free-fall frame scenario. Specifically, we obtain the rainbow corrections to the Hawking temperature and entropy of the rainbow black string.

Abstract:The alignment angle dependence of H2+ on the spatial distribution of the molecular high-order harmonic generation (MHHG) has been theoretically investigated. The result shows that when the laser polarization direction coincides with the molecular axis, the harmonic emission follows the rules. When the laser field is larger than zero, the MHHG from the negative-H is higher than that from the positive-H; while when the laser field is smaller than zero, the MHHG from the positive-H is higher than that from the negative-H. As the alignment angle of H2+ increases, the intensities of the harmonic spectra decreases. Especially for the case of the harmonic emission from the positive-H, a faster decrease of the harmonics can be found, thus leading to the enhanced intensity difference of the harmonics from the two-H nuclei. Finally, through studying the time-frequency analyses of the MHHG and the time-dependent electronic wave functions, the reasons behind the electron motion and the spatial distribution of the MHHG from the two-H nuclei are shown and discussed.

Abstract:By setting different electric fields and adopting density functional B3P86 and high precision coupled cluster CCSD (T) method, combining with relevant agreement Dunning five heavy cc-PV5Z, the geometric structure of PH molecule is optimized and the single point energies are scanned. The bond lengths, dipole moments, vibration frequencies, infrared spectrum and potential energy curves are obtained. The results show that the physical properties parameters and the potential energy values will change with the change of external electric field, especially at reverse direction electric field. In order to analyze the external field effect and get the critical dissociation electric parameter, the dipole approximation is adopted to construct potential model, then the model is put to fit the corresponding potential energy curve of external electric field. It is found that the fitted critical dissociation electric parameter is reasonably consistent with the numerical calculation; i.e., the relative errors are also less than 2%. So the constructed model is reliable and accurate for analyzing the external field effect. These will provide important theoretical and experimental reference for the studies of molecular spectroscopy, dynamics and molecular cooling with Stark effect.

Abstract:The humic acid which is extracted from Huangling, Shaanxi province is used as material. The temperature and the holding time are selected as variables. The insoluble humic acids under different conditions are prepared by high temperature dehydration calcification method. The experimental results show that the adsorption effect is the best when the modified humic acid holding time is 2 h and the holding temperature is 330 ℃. Under the optimum conditions, the adsorption amount of insoluble humic acid on Cu2+ ions in water is 8.87 mg/g and the adsorption rate of methylene blue is 98.8%.The iodine adsorption value of humic acid is 158.4 mg/g. The insoluble humic acid BET (the abbreviation of three scientists whose name are Brunauer、Emmett and Teller) surface area and microporous adsorption capacity under the best preparation condition are increased, so the iodine adsorption value of insoluble humic acid is 262.9 mg/g. SEM analysis shows that the surface of insoluble humic acid is rougher and is loaded with many spherical small particles, which could improve the adsorption capacity obviously. FTIR analysis shows that the contents of hydroxyl and organic halides in the insoluble humic acid structure are increased obviously. It is beneficial to the adsorption of heavy metal ions and organic pollutants.

Abstract:The electron impact excitation (EIE) cross sections of S4+ ion from the ground state 3s2 1S0 to all of excited states 3s3p 3P0,1,2 1P1 , and S5+ ion from the ground state 3s 2S1/2 to all of excited states 3p 2P1/2 2P2/3 are calculated for energies of the near-threshold by using the fully relativistic distorted-wave program REIE06. The electron correlation effects for EIE cross sections are studied, and some important conclusions are summarized. An agreement is found when the present calculated results are consistent with the experimental values given by Wallbank et al. [14].

Abstract:In this paper, employing the static adsorption methods, we explored the effects of adsorption time, U(VI) initial concentration, solid liquid ratio, pH value, ion type, temperature and other factors on the adsorption of U(VI) by chlorite. The adsorption kinetics of U(VI) in chlorite is discussed. The results show that the quasi-secondary dynamics model can be used to describe the adsorption of uranium on chlorite; The adsorption rate of chlorite on U(VI) is relatively fast, and the adsorption of 20h is stable; The optimal solid-liquid adsorption ratio is 1:150; The optimal initial concentration is 20ug•mL-1; The best adsorption effect can be obtained when pH is 7. The acid or alkaloid will affect the adsorption of chlorite on U(VI); Ca2+, HCO3-, CO32-, SO42-, Mg2+in the solution have inhibitory effect on the adsorption of U(VI).

Abstract:Microcrystalline silicon films were deposited, using H2 diluted SiCl4 gaseous mixture, by plasma enhanced chemical vapor deposition (PECVD) technology under different discharge powers. The crystallization control and optimization of photoelectric properties of microcrystalline silicon thin films were realized by adjusting the discharge power. Morever, the electronic properties and the neutral radicals of the plasma space were detected online by the Langmuir probe and the mass spectrometer, respectively. The microscopic mechanism of film formation was also discussed preliminarily.

Abstract:Based on the 6-311+G(d, p) set basis, the geometry structures, electronic properties and hydrogen storage properties of Si5 and LimSi5 clusters are investigated by using the density functional theory (DFT) M06 calculations. Our results indicate that the lowest energy structure of Si5 cluster is a three-dimensional cage, and it cannot efficiently store hydrogen molecules. It will remarkably improve the hydrogen storage capacity coated by Li atoms. The Si5 cage coated by six Li atoms (Li6Si5) can store up to 18 H2 molecules, in which every Li atom can efficiently adsorb three H2 molecules, corresponding to a maximum gravimetric density of 16.617 wt% with average adsorption energy of 2.395 kcal/mol per H2 molecule. The results demonstrate that Li decorated Si5 cage can serve as a promising hydrogen storage material at ambient conditions.

Abstract:The structural stability and electronic properties of single-wall (SW) and double-wall (DW) ZnO nanotubes (NTs) are investigated by using the first-principle approaches. It shows that the stabilities of SW ZnO NTs increase as the size increases, while the stabilities of DW ZnO NTs are almost independent of the diameter and thickness. All the NTs show direct band gap semiconductor characteristics. The band gaps of DW NTs are larger than those of SW NTs and are almost independent of the diameter and thickness. The band gaps of ZnO NTs become larger than that of the corresponding bulk wurtzite ZnO due to quantum size effect.

Abstract:In order to investigate whether ABA receptors participate in ABA homeostatic regulation mediated by UGT71B6 and analyze the specific mechanisms of UGT71B6's involvement in plant stress responses, we analyzed the interaction between RCARs and UGT71B6 by yeast two-hybrid assay, BIFC, and GST-pull down assay. The results indicated that UGT71B6 interacted with RCAR12/13 in vivo and in vitro. Thus, it is likely that the mechanism of UGT71B6 participating in plant abiotic responses is related to its interaction with ABA RCARs. The experimental results also provide some references for the role studying of ABA receptors in the ABA homeostasis regulation process.

Abstract:We explore the expression and clinical significance of FEZF1 protein in colorectal cancer tissues and adjacent tissues.In this paper, immunohistochemistry, Western Blot and cell experiments showed that FEZF1 was down-regulated in colorectal cancer tissues, and its expression was significantly correlated with tumor node metastasis (TNM) stage. When FEZF1 was low expressed, the proliferation and migration ability of RKO cells increased, and the proliferation ability of RKO cells decreased when FEZF1 was highly expressed. This study demonstrates that FEZF1 is a low-expression protein in colorectal cancer, its expression is associated with the occurrence and development of colorectal cancer, and FEZF1 inhibits the proliferation and migration of colorectal cancer cells.

Abstract:Currently, sgRNAs are usually transcribed by type Ⅲ promoters in CRISPR/Cas9 system, which makes it difficult to achieve tissuespecific and timespecific expression. Cytotoxicity is an additional concern for constitutive transcription of small RNAs. In this paper, we designed an intron-based approach for sgRNA expression by type Ⅱ promoters, which uses ribozyme switches to facilitate sgRNA release from the spliced intron. We designed three combinations of "ribozymesgRNAribozyme" at both ends of sgRNAs to release them through the self-cleavage of ribozymes. The results indicated that the design of HHRz-sgRNA-HDVRz could correctly release sgRNA from the intron, and the released sgRNAs could achieve gene editing in human cells. Our finding demonstrated that an intron-based sgRNA expression cassette was compatible with type Ⅱ promoters and ribozyme switches could be used to facilitate sgRNAs release for gene editing.

Abstract:To analyze the degradation mechanism of microtubules protein in the plant cell, we used anti-MT, proteasome inhibitor MG132 combining the in vivo and in vitro techniques of genetics and plant molecular biology to reveal that the degradation of TUA and TUB was mediated by the ubiquitin/26S proteasome. Our results indicated that in the loss of function mutant rpn 10-1 of regulatory subunit RPN10 of the 26S proteasome, the degradation of TUB was impaired while that of TUA was not affected, as compared with wild type plants. Meanwhile, overexpression of TUA in mutant rpn 10-1 increased the root length while overexpression of TUB inhibited root elongation of rpn 10-1and the ratio of TUA to TUB were an imbalance in mutant rpn 10-1, which suppressed the root growth. Together, our results indicated that 26S proteasome is required for the degradation of tubulins (TUA and TUB) and RPN10 can influence plant growth by regulating protein stability of TUB.

Abstract:In order to gain a further study of the impact of apples on the latent virus, 387 samples of apple leaves from the provinces of Yunnan, Sichuan and Guizhou were collected in this study. Three kinds of apple latent viruses, including ASPV（Apple stem pitting virus）, ASGV (Apple stem grooving virus) and ACLSV (Apple chlorotic leaf spot virus), were analyzed and identified by RT-PCR (Reverse Transcription PCR) and multiplex RT-PCR. The results demonstrated that the incidence rate of ASPV, ASGV, and ACLSV was 89.4%, 100%, and 81.6%, respectively. In addition, 304 out of 387 samples were co-infected by all three viruses. Compared with Yunnan and Guizhou provinces, apple samples collected from Sichuan province are most seriously infected by the apple latent viruses. The status of latent viruses infection in the main apple producing areas in Southwest China is first reported in this study, a set of rapid and effective molecular method for latent viruses identification is established.

Abstract:Based on the study of AtARRE at the gene and protein levels, this paper describes its role with the key transcription factor ABI5 of the ABA signaling pathway. In this study, a protoplast transient expression system was used to explore the subcellular localization of AtARRE protein, and the result demonstrated that AtARRE localized in the nucleus. Subsequently, the interaction between AtARRE and ABI5 was analyzed by yeast two-hybrid and GST-Pull down techniques. Our analysis demonstrated that AtARRE interacted with ABI5 in vitro. At last, analysis by bimolecular fluorescence complementation experiments further demonstrated the interaction between AtARRE and ABI5, indicating that the co-expression of AtARRE and ABI5 had interaction in vitro. These results indicate that AtARRE may be involved in ABI5-mediated plant response to stress.

Abstract:In this study we employed a docking approach based on virtual screening to search for inhibitors that can bind to MDM2 and block MDM2-p53 interaction. Candidate compounds were obtained from SPECS library. We processed two rounds of molecular docking. Putative compounds were selected based on binding score ranking and 3D structure inspection. Furthermore, the selected small molecules were validated by cell-based experiments. Treatment of several cancer cells with M12 led to activating p53, and upregulation of p21, leading to cell cycle arrest and apoptosis. To this end, we discovered a novel small molecule named M12 that is structurally different from the known MDM2 antagonists, M12 may be a novel small compound and a potentially useful drug candidate for cancer treatment.