LOCAL 2-COCYCLES

The aim of this paper is to show that every local 2-cocycle of a von Neumann algebra R with coefficients in S (a unital dual R-bimodule) is a 2-cocycle.

THE GLOBAL AND LOCAL C^(2)-SOLUTIONS FOR THE WAVE EQUATION □u = G(u_t, Du) IN THREE SPACE DIMENSIONS

Kunio Hidano[4] has shown that the global and local C2-solutions for semilinear wave equations with spherical symmetry in three space dimensions. This paper studies the global and local C2-solutions for the semilinear wave equations without spherical symmetry in three space dimensions. A problem put forward by Hiroyuki Takamura[2] is partially answered.

Distributed analysis of forward stimulated Brillouin scattering for acoustic impedance sensing by extraction of a 2nd-order local spectrum

Distributed fiber sensors based on forward stimulated Brillouin scattering(F-SBS)have attracted special attention because of their capability to detect the acoustic impedance of liquid material outside fiber.However,the reported results were based on the extraction of a 1st-order local spectrum,causing the sensing distance to be restricted by pump depletion.Here,a novel post-processing technique was proposed for distributed acoustic impedance sensing by extracting the 2nd-order local spectrum,which is beneficial for improving the sensing signal-to-noise ratio(SNR)significantly,since its pulse energy penetrates into the fiber more deeply.As a proof-of-concept,distributed acoustic impedance sensing along~1630 m fiber under moderate spatial resolution of~20 m was demonstrated.

LOCAL ONE-DIMENSIONAL ASE-I SCHEME FOR 2D DIFFUSION EQUATION

A local alternating segment explicit - implicit method for the solution of 2D diffusion equations is presented in this paper .The method is unconditionally stable and has the obvious property of parallelism. Some numerical experiments show the method is not only simple but also more accurate.

Local microstructural analysis for Y2O3/Eu3＋/Mg2＋ nanorods by Raman and photoluminescence spectra under high pressure

In this paper, we investigate the Raman and photoluminescence spectra of Y_2O_3/Eu^（3＋） and Y_2O_3/Eu^（3＋）/Mg^（2＋） nanorods under high pressures using 514-nm and 532-nm laser light excitation. We observe transitions from the initial cubic phase to amorphous at pressures higher than 24 GPa for both Y_2O_3/Eu^（3＋） and Y_2O_3/Eu^（3＋）/Mg^（2＋） nanorods. In addition, Y_2O_3/Eu^（3＋） and Y_2O_3/Eu^（3＋）/Mg^（2＋） nanorods exhibit different distorted states after the pressure has been raised to 8 GPa. The analyses of intensity ratios, I_（0-2）/I_（0-1） from ~5D_（0–）~7F2_to^5D_（0–）~7F_1and I_（0-2）A/B of ~5D_（0–）7F_2 transitions indicate that Y_2O_3/Eu^（3＋）/Mg^（2＋） nanorods exhibit stronger local micro-surrounding characteristics for Eu^（3＋） ions in a pressuremodulated crystal field. The doped Mg2＋ion results in reducing the crystal ionicity in the distorted lattice state under high pressures. The use of doped ions as an ion modifier can be applied to the study of small local microstructural changes through Eu^（3＋） luminescence.

Theoretical Study of Electron Paramagnetic Resonance Spectra and Local Lattice Distortion for Mn^(2+) in Zn(ClO_4)_2·6(H_2O)Mg(ClO_4)_2·6(H_2O)

The electron paramagnetic resonance（EPR） spectra of trigonal Mn^（2＋） centers in Zn（ClO4）2·6（H2O） and Mg（ClO4）2·6（H2O） crystals were studied on the basis of the complete energy matrices for a d^5 configuration ion in a trigonal ligand field. It was demonstrated that the local lattice structure around a trigonal Mn^（2＋） center has an compressed distortion along the crystalline c3 axis, and when Mn^（2＋） is doped in the Zn（ClO4）2·6（H2O） and Mg（ClO4）2·6（H2O） crystals, there is a similar local distortion. From the EPR calculation, the local lattice structure parameters R=2.183 2 ？, for Zn（ClO4）2·6（H2O）, R=2.130 2 ？, for Mg（ClO4）2·6（H2O） have been determined.

A Hybrid DNN-RBFNN Model for Intrusion Detection System

Intrusion Detection Systems (IDS) are pivotal in safeguarding computer networks from malicious activities. This study presents a novel approach by proposing a Hybrid Dense Neural Network-Radial Basis Function Neural Network (DNN-RBFNN) architecture to enhance the accuracy and efficiency of IDS. The hybrid model synergizes the strengths of both dense learning and radial basis function networks, aiming to address the limitations of traditional IDS techniques in classifying packets that could result in Remote-to-local (R2L), Denial of Service (Dos), and User-to-root (U2R) intrusions.

A Quasi-Newton Neural Network Based Efficient Intrusion Detection System for Wireless Sensor Network

In Wireless Sensor Networks(WSN),attacks mostly aim in limiting or eliminating the capability of the network to do its normal function.Detecting this misbehaviour is a demanding issue.And so far the prevailing research methods show poor performance.AQN3 centred efficient Intrusion Detection Systems(IDS)is proposed in WSN to ameliorate the performance.The proposed system encompasses Data Gathering(DG)in WSN as well as Intrusion Detection(ID)phases.In DG,the Sensor Nodes(SN)is formed as clusters in the WSN and the Distance-based Fruit Fly Fuzzy c-means(DFFF)algorithm chooses the Cluster Head(CH).Then,the data is amassed by the discovered path.Next,it is tested with the trained IDS.The IDS encompasses‘3’steps:pre-processing,matrix reduction,and classification.In pre-processing,the data is organized in a clear format.Then,attributes are presented on the matrix format and the ELDA(entropybased linear discriminant analysis)lessens the matrix values.Next,the output as of the matrix reduction is inputted to the QN3 classifier,which classifies the denial-of-services(DoS),Remotes to Local(R2L),Users to Root(U2R),and probes into attacked or Normal data.In an experimental estimation,the proposed algorithm’s performance is contrasted with the prevailing algorithms.The proposed work attains an enhanced outcome than the prevailing methods.

Effects of Exterior Abscisic Acid on Calcium Distribution of Mesophyll Cells and Calcium Concentration of Guard Cells in Maize Seedlings

In this study, the direct effects of exterior abscisic acid （ABA） on both calcium distribution of mesophyll cells and cytosolic calcium concentration of guard cells were examined. The distribution of Ca^2＋ localization were observed with calcium antimonate precipitate-electromicroscopic-cyto-chemical methods after treated with ABA and pretreated with ethylene glycol-bis-（2-aminoethylether）-N,N,N＇,N＇-tetraacetic acid （EGTA）, verapamil （Vp）, and trifluoperazine （TFP）. The laser scanning confocal microscopy was used to measure the cytosolic calcium concentrations of guard cells under different treatments. The results showed that the cytosolic Ca^2＋ concentration of mesophyll ceils was induced to increase by ABA, but to decrease in both outside cell and the vacuoles within 10 rain after treatments. The cytosolic calcium concentration of guard cells was increased gradually with the lag in treatment time. However, both EGTA and TFP could inverse those effects, indicating that the increase of cytosolic calcium induced by exterior ABA was mainly caused by calcium influx. The results also showed that calmodulin could influence both the calcium distribution of mesophyll cells and calcium concentration of guard cells. It shows that calmodulin participates in the process of ABA signal transduction, but the mechanism is not known as yet. The changes both calcium distribution of mesophyll cells and calcium concentration of guard cells further proved that the variations of cytosolic Ca^2＋ concentration induced by ABA were involved in the stomatal movements of maize seedlings.

TM-N_(2)O_(2)C_(x)单原子催化剂的设计及电催化CO_(2)还原研究

电催化二氧化碳还原反应(CO_(2)RR)被认为是一种潜在的碳循环技术,因为它可以利用CO_(2)作为资源在温和条件下生产高附加值燃料和化学品.因此,开发高效的二氧化碳还原反应催化剂极其重要.本文设计了一系列TM-N_(2)O_(2)C_(x)(TM=Sc,Ti,V,Cr,Mn,Fe,Co,Ni,Cu,Zn)单原子催化剂,并利用密度函数理论研究了其对CO_(2)RR的催化活性.这些TM-N_(2)O_(2)C_(x)催化剂在相对较低的过电位下对三种不同的产物,包括CH_(4)、CO和HCOOH,表现出优异的CO_(2)RR产品选择性,其中ScN_(2)O_(2)C_(x)、Mn-N_(2)O_(2)C_(x)、Zn-N_(2)O_(2)C_(x)的CO_(2)RR产品是CO,V-N_(2)O_(2)C_(x)的产品是CH_(4),而其他六种催化剂会产生HCOOH.此外,该研究还揭示了CH_(4)形成的最佳途径,即*+CO_(2)→C*OOH→C*O+H_(2)O→C*HO→C*HOH→C*H+H_(2)0→C*H_(2)→C*H_(3)→*+CH_(4).总之,TMN_(2)O_(2)C_(x)催化剂对电催化CO_(2)RR表现出较高的催化活性,这为实验合成这些有前景的CO_(2)RR催化剂提供了有价值的信息.

Circulating tumor DNA genomic profiling reveals the complicated olaparib-resistance mechanism in prostate cancer salvage therapy: A case report

BACKGROUND The poly(ADP-ribose)polymerase(PARP)inhibitor olaparib has displayed superior clinical effect in metastatic castration-resistant prostate cancer(mCRPC)patients with the homologous recombination repair(HRR)genes mutations.However,when a patient’s tumor tissue volume is insufficient for genomic profiling of HRR gene mutations,circulating tumor DNA(ctDNA)may be useful in helping to determine and monitor the efficacy of olaparib,as well as in abiraterone-combination treatment,and for understanding any resistance mechanism related to such mutations.CASE SUMMARY A 61-year-old man who was diagnosed with metastatic prostate adenocarcinoma was initially hormone sensitivity,showing high Gleason score(5+5=10)and absolute positive rate(14/14 biopsied specimens).Following failure of several standard therapies,the patient progressed to mCRPC.Surprisingly,the patient showed good response to olaparib-abiraterone-prednisone combination treatment(an androgen-deprivation therapy,provided as the‘final choice’in China).Serum total prostate-specific antigen(TPSA)level reduced and symptoms remitted for 4 months.However,thereafter,serum TPSA levels began slowly increasing,indicating development of olaparib resistance.Subsequent comprehensive genomic profiling of ctDNA, screening 508 cancer-related genes by next-generation sequencing,identified 10 somatic variants as well as 3 copy number alterations. Two identified reversemissense mutations in partner and localizer of BRCA2 (PALB2) may have recovered the readingframe, restoring function of the primary germline PALB2 mutation and causing resistance to thePARP inhibitor olaparib.CONCLUSIONReverse mutations in PALB2, discovered via genomic profiling of ctDNA, may represent apotential resistance mechanism against olaparib in mCRPC.

Two-dimensional atom localization via probe absorption in a four-level atomic system

We have investigated the two-dimensional （2D） atom localization via probe absorption in a coherently driven four-level atomic system by means of a radio-frequency field driving a hyperfine transition. It is found that the detecting probability and precision of 2D atom localization can be significantly improved via adjusting the system parameters. As a result, our scheme may be helpful in laser cooling or the atom nano-lithography via atom localization.

Fractional Breaking Soliton Equation Reduced from a Linear Spectral Problem Associated with Fractional Self-Dual Yang-Mills Equations

Fractional or fractal calculus is everywhere and very important.It is reported that the fractal approach is suitable for insight into the effect of porous structure on thermo-properties of cloth.A novel local fractional breaking soliton equation is derived from the reduction of the linear spectral problem associated with the local fractional non-isospectral self-dual Yang-Mills equations.More specifically,the employed linear spectral problem is first reduced to the(2+1)-dimensional local fractional zero-curvature equation through variable transformations.Based on the reduced local fractional zero-curvature equation,the fractional breaking soliton equation is then constructed by the method of undetermined coefficients.This paper shows that some other local fractional models can be obtained by generalizing the existing methods of generating nonlinear partial differential equations with integer orders.

TiO2-based photocatalysts prepared by oxidation of TiN nanoparticles and their photocatalytic activities under visible light illumination

To develop TiO2-based photocatalysts with visible light activity for better solar energy utilization, a simple flash oxidation method was developed by calcining commercial TiN nanoparticle to prepare N-doped TiO2 photocatalyst and TiN/TiO2 composite photocatalysts through the modulation of the calcination time and temperature. It was found that more energy and processing time were needed to prepare N-doped TiO2 photocatalyst than that of TiN/TiO2 composite photocatalyst during this process, while TiN/TiO2 composite photocatalyst bad a better visible light absorption/photocatalytic performance than that of N-doped TiO2 photocatalyst prepared from the oxidation of the same TiN precursor. Thus, the preparation of TiN/TiO2 composite photocatalyst from TiN precursor should be a more preferred approach than the preparation of N-doped TiO2 photocatalyst for visible-light-activated photocatalysis for its costeffectiveness.

In-situ EXAFS study on the thermal decomposition of TiH_2

Thermal decomposition behaviors of TiH_2 powder under a flowing helium atmosphere and in a low vacuum condition have been studied using an in situ EXAFS technique.By an EXAFS analysis containing the multiple scattering paths including H atoms,the changes of the hydrogen stoichiometric ratio and the phase transformation sequence are obtained.The results demonstrate that the initial decomposition temperature is dependent on experimental conditions,which occurs,respectively,at about 300 and 400℃ in a low vacuum condition and under a flowing helium atmosphere.During the decomposition process of TiH_2 in a low vacuum condition,the sample experiences a phase change process：δ（TiH_2）→δ（TiH_x）→δ（TiH_1）＋β（TiH_x）→δ（TiH_x）＋β（TiH_x）＋α（Ti）→β（TiH_x）＋α（Ti）→α（Ti）＋β（Ti）.This study offers a way to detect the structural information of hydrogen.A detailed discussion about the decomposition process of TiH_2 is given in this paper.

Reliable iris localization using integral projection function and 2D-shape properties

Iris recognition technology recognizes a human based on his/her iris pattern. However, the accuracy of the iris recognition technology depends on accurate iris localization. Localizing a pupil region in the presence of other low-intensity regions, such as hairs, eyebrows, and eyelashes, is a challenging task. This study proposes an iris localization technique that includes a localizing pupillary boundary in a sub-image by using an integral projection function and two-dimensional shape properties （e.g., area, geometry, and circularity）. The limbic boundary is localized using gradients and an error distance transform, and the boundary is regularized with active contours. Experimental results obtained from public databases show the superiority of the Drooosed techniaue over contemporary methods.

Antioxidation of Anthocyanins in Photosynthesis Under High Temperature Stress

Chlorophyll fluorescence and antioxidative capability in detached leaves of the wild type Arabidopsis thaliana L. ecotype Landsberg erecta （Ler） and three mutants deficient in anthocyanins biosynthesis （tt3, tt4, and tt3tt4） were investigated during treatment with temperatures ranging 25-45 ℃. In comparison with the wild type, chlorophyll fluorescence parameters Fv/Fm, φps,, electron transport rate （ETR）, Fv/Fo and qP in three anthocyanin-deficient mutants showed a more rapidly decreasing rate when the temperature was over 35 ℃. Non-photochemical quenching （NPQ） in these mutants was almost completely lost at 44 ℃, whereas the content of heat stable protein dropped and the rate of the membrane leakage increased. Fo-temperature curves were obtained by monitoring Fo levels with gradually elevated temperatures from 22 ℃ to 72 ℃ at 0.5 ℃/min. The inflexion temperatures of Fo were 45.8 ℃ in Ler, 45.1℃ in tt3, 44.1℃ in tt4 and 42.3 ℃ in tt3tt4, respectively. The temperatures of maximal Fo in three mutants were 1.9-3.8℃ lower than the wild type plants. Meanwhile, three mutants had lower activities of superoxide dismutase （SOD） and ascorbate peroxidase （APX） and an inferior scavenging capability to DPPH （1.1-diphenyl-2-picrylhy.drazyl） radical under heat stress, and in particular tt3tt4 had the lowest antioxidative potential. The results of the diaminobenzidine-H2O2 histochemical staining showed that H2O2 was accumulated in the leaf vein and mesophyll cells of mutants under treatment at 40 ℃, and it was significantly presented in leaf cells of tt3tt4. The sensitivity of Arabidopsis anthocyanins-deficient mutants to high temperatures has revealed that anthocyanins in normal plants might provide protection from high temperature injury, by enhancing its antioxidative capability under high temperature stress.

Efficient two-dimensional atom localization in a five-level conductive chiral atomic medium via birefringence beam absorption spectrum

We have theoretically investigated two-dimensional atom localization using the absorption spectra of birefringence beams of light in a single wavelength domain.The atom localization is controlled and modified through tunneling effect in a conductive chiral atomic medium with absorption spectra of birefringent beams.The significant localization peaks are investigated in the left and right circularly polarized beam.Single and double localized peaks are observed in different quadrants with minimum uncertainty and significant probability.The localized probability is modified by controlling birefringence and tunneling conditions.These results may be useful for the capability of optical microscopy and atom imaging.

Spatial-dependent probe transmission based high-precision two-dimensional atomic localization

Herein,we propose a scheme for the realization of two-dimensional atomic localization in aλ-type three-level atomic medium such that the atom interacts with the two orthogonal standing-wave fields and a probe field.Because of the spatially dependent atom-field interaction,the information about the position of the atom can be obtained by monitoring the probe transmission spectra of the weak probe field for the first time.A single and double sharp localized peaks are observed in the one-wavelength domain.We have theoretically archived high-resolution and high-precision atomic localization within a region smaller thanλ/25×λ/25.The results may have potential applications in the field of nano-lithography and advance laser cooling technology.