We characterize a sufficient and necessary condition which ensures that the generalized Hardy operator U_ψf(x)=f(x₁t₁,…,x_nt_n)ψ(t₁,…,t_n)dt₁…dt_n is bounded on RMO(Rⁿ).The condition deeply depends on the nonnegative function ψ defined on [0,1]×…×[0,1].Furthermore, the corresponding operator norm is worked out.In addition, we also extend the results to the high-dimensional product space.

We obtain a more explicit expression than Bando-Ohnita (J Math Soc Japan, 1987, 39:477) for judging that a SU(2)-orbit is a two-dimension homogeneous sphere, based on the root distribution, and study the SU(2)-orbit problem in CPⁿ by checking whether some n-points are collinear on a Riemann sphere.

In this work, we consider a semi-parametric additive hazards regression model for right-censored data with censoring indicators missing at random.By employing the information of the response and censoring probability models, we propose three estimators of the regression coefficient and the baseline cumulative hazard function.We prove that the proposed estimators are consistent and asymptotically normal.Simulation studies are conducted to evaluate the numerical performance of the proposed estimators in comparison with the existing estimators.A real data set is analyzed to validate the effectiveness of the proposed methods.

Using the Lie group analysis method, we study the two-component Camassa-Holm equation, which models shallow water waves moving over a linear shear flow.The similarity reductions and exact solutions for the equation are obtained.Then the power series solution are considered by using the power series method.Furthermore, the convergence of the power series solution to the equation is shown.The physical significance of the solutions is considered from the transformation group's point of view.

In the ITER project, flow channel insert (FCI) serves as an indispensable electrical and thermal insulator.Mechanical behaviors of this component are affected by magneto-thermo-fluid-structure coupled fields.In this work, numerical investigations using finite volume method and finite element method were carried out to study flow pattern, heat transfer, and structural safety factors in the blanket module.Detailed stress analysis of FCI and influences caused by thermal conductivity were presented.Results show that FCI is basically safe considering through thickness stress and in-plane compressive stress.However, the in-plane tensile stress and shear stress at edges are close to the material limit.Besides, FCI with good thermal insulating ability will lead to high outlet temperature of the flow and can well protect the first wall from bulk flow heat leakage.However, the temperature gradient and thermal stress in FCI will increase in this case.

We propose a simple model for the lepton mass spectra and flavor mixing by combining the S₃ flavor symmetry with type-II seesaw mechanism.To obtain the observed mass spectra and mixing patterns of lepton sector, the explicit flavor symmetry breaking chain S₃→Z₂→Ø is considered.It is shown that this ansatz can naturally allow the three neutrino mixing angles (i.e.,θ₁₂,θ₂₃, and θ₁₃) to be in good agreement with the current experiment data and the maximal Dirac CP-violating phase δ≈270° indicated by recent experiments.

The 3 dB couplers of MUSER-I and MUSER-II are simulated using Microwave office software.Because of the ultra wide frequency band, multiple single couplers are used to synthesis one symmetrical coupler.The amplitude of MUSER-I 3 dB hybrid is (-3±0.2) dB, and the phase difference of this port is between 91.9° and 89°.For MUSER-II 3 dB hybrid, the voltage standing wave ratio is less than 1.31 and the phase difference is between 96.05° and 85°.This radioheliograph receives left and right circularly polarized radio signals.The difference between the polarization degree of the Sun and the observed polarization degree is also measured, and the error is 9.4% when the original polarization degree is 10%.

Experimental study was carried out on the enhanced vaporization process of fuel under vacuum condition.Fuel was ejected from the nozzle in a visual vacuum vessel.The droplet crushing and vaporization characteristic parameters such as the liquid droplet size distribution, the gas-liquid phase morphological development, and the vaporization speed were obtained under different injection pressures.The experimental results show that the crushing of liquid droplets and the vaporization of fuel were mutually reinforced.At the injection pressure of 5 MPa, most of the droplet sizes are within the range of 5 μm, and within 2 ms the fuel nearly reaches equilibrium and reaches 85% of equilibrium vaporization capacity.When this enhanced vaporization technology is used in atmospheric and vacuum distillation processes, the yield of light oil will increase.

Based on the output values and pollution discharge data (wastewater, chemical oxygen demand,and NH₃-N) of 205 enterprises in Chun'an county in China obtained from the first national pollution source census of 2007, the discharge coefficients of pollutant over products of 10 000 yuan for different industrial categories in Chun'an county were calculated.Moreover, output values and pollution discharge data of 33 enterprises in 2012 were used to validate calculation results.The results showed that the soy products manufacturing was the highest pollution discharge industry and the draining wastewater, COD,and NH₃-N were up to 257.090 8 t, 473.548 4 kg, and 6.171 9 kg,respectively, whereas the discharge coefficients were the lowest for the cotton and chemical fiber textile industry (0.000 6 t, 0.003 2 kg, and 0.000 0 kg, respectively).Additionally, the discharge coefficient of NH₃-N over products of 10 000 yuan was 0.000 0 kg for the silk spinning and finishing, carbonated beverage manufacturing,and edible vegetable oil processing.Validation results showed that the prediction errors in the discharge coefficients were marked in beer manufacturing, fruit juice beverage manufacturing,and soy products manufacturing, and the predicted values were larger than the measured values.However, the predicted values well matched the measured values in the other industries, and the predicted values were all slightly smaller than the measured values.

By taking Nanchong city, Sichuan province, as research area and studying the historical data from 2007 to 2013, we analyze changes of water resource pressure in Nanchong from four aspects: population pressure, economic development pressure, ecological pressure, and technology pressure.The results are given as follows.1) The economic development pressure of water resources sustainingly decreased from 2007 to 2013.Theoretically, there was no water ecological pressure.The integrated water resource pressure showed a dwindling trend in fluctuation.2) In 2007 and 2012, the integrated water resource pressure of Nanchong mainly concentrated in Shunqing district, Jialing district, and Peng'an county, while the level of pressure rose from medium to super high in Gaoping district.The study on spatial and temporal evolution of water resource pressure in Nanchong is helpful for similar hillock areas to adjust the regional water resource development and utilization planning.

Relief degree of topography is a significant factor to affect the development of economy and society.By using window analysis theory and mean change-point analysis method, the optimal statistical unit of relief amplitude is extracted based on ASTER GDEM data, and then the classification and correlation analyses on relief degree of topography are carried out.It is shown that 0.202 5 km² is the best measuring unit.The differences in relief amplitude between different provinces are obvious, and the differences are not obvious in each province.Meanwhile, the relationships of relief degree of topography with population and economy are analyzed by using spatial analysis technique,statistical method, and PCA sorting method.The results show that population density gradually decreases with relief degree of topography and it reaches a fixed value when relief degree of topography is 3.7.The negative correlation degree of relief degree of topography with the proportion of the third industry is large, the degree with urbanization rate is less, and the degree with per capita GDP is the least.

Rocks show rheological properties under high temperature and high pressure.Rheological parameter is an important parameter for numerical simulation of the dynamic process of the earth.The rheological parameters can be obtained by means of the high temperature and high pressure creep experiments in the laboratory and by the inversion of the field geophysical data.There have been some high temperature and high pressure experiments on single minerals.However, it is difficult to carry out multi-mineral experiments.In this study, we discuss the possibility of using the finite element method to calculate the rheological parameters of multi-mineral rocks under the condition that the rheological parameters of minerals are known.The results show that the calculated results match the parameters obtained in the high temperature and high pressure experiments.The results show that the rock as a whole will show anisotropy if the mineral arrangement has the advantage of direction (such as the existence of the granitic mylonite foliation), even though mineral mechanical properties are approximatly isotropic.When loading force is perpendicular or parallel to mineral foliation, equivalent viscous coefficient of rock is larger; and when the angle is 30 degrees, equivalent viscous coefficient is minimized.

The relationship between chemical characteristic of formation water and preservation of gas reservoir has been discussed based on analysis of the chemical composition in Hangjinqi area.The vertical and plane variations in chemical characteristic parameters in Hangjinqi area in the north of Ordos basin.The results show that most of these formation waters with low pH value and high total dissolved solid(TDS) are calcium chloride Ⅳ-type and Ⅴ-type waters.The plane distribution features show west-east differentiation and north-south dissimilitude.The high TDS and (r_Cl^－－r_Na⁺)/r_Mg²⁺ values and the low r_Na⁺/r_Cl^－,(100×r_SO4^2－/r_Cl^－),and (r_HCO3^－+r_CO3^2－)/r_Ca²⁺ values in the west and local area of Boerjianghaizi fault indicate better sealing condition.The relatively positive correlation of the TDS and ion concentration with depth in the north and south of the Boerjianghaizi faulted zone indicates that the formation water exists in a closed fluid dynamic environment,which is beneficial to preservation of the natural gas.All the formation water-indicative sealed environments have natural gas discoveries, which indicates a good correlation between them.The water chemical characteristics provide clues to the natural gas prospects.

We propose an evaluation approach of earth gravitational models (EGMs) based on Gauss-Listing classic geoid definition.The classic geoid is defined as an equigeopotential surface.Using this character, we select a gravity geoid as reference surface, calculate the gravity potentials of different EGMs on the reference surface, and establish an index of gravity potential dispersion to evaluate EGMs.Using this approach we evaluate theoretical compliance abilities of different EGMs and of an EGM applied in different areas in the earth.The results show that the precision of EGM96 is higher than that of OSU91, and EGM2008 and EIGEN-6C4 have similar precisions.The results are consistent with the existing research conclusions.The results further declare that the precision of EGM2008 is slightly higher than that of EIGEN-6C4 in the cm level.

Airborne LiDAR technology is an effective method for obtaining three-dimensional spatial data of buildings with high point density and accuracy, and building roof point cloud extraction is a key process in three-dimensional digital reconstruction.This study proposes a gradually advanced method to extract building roof points.Firstly, most of vegetation points and building wall points are removed by using multiple echo and normal characteristics, which are based on filtering results.Secondly, the remaining points are segmented into clusters by using Euclidean clustering method.Finally, by combining with a digital terrain model (DTM), the points on building roofs are isolated using the building area and height characteristics.The results show that the proposed method extracts roof points based on raw LiDAR data efficiently.

The problem of inspection and measurement of DBF antenna performance is studied.Mechanical scanning is hard to be implemented after DBF antenna has been installed on vehicle.The beam of DBF antenna can be scanned electronically towards different azimuth angles,based on which a new mearsurement method of obtaining DBF antenna pattern indirectly is proposed.The relative measurement errors in beam width, sidelobe level,and beam directivity are analyzed afterwards.Simulations are carried out both in normal condition and abnormal condition.The results are the same as those measured by conventional spinning measurement method.The relative measurement errors in beam width, sidelobe level,and beam directivity are small.The simulation results show the effectiveness of this method.

In this paper, an interference suppression scheme is proposed for in-band self-backhaul small cell system,and it adopts a user-centric clustering and partial joint processing model to eliminate co-channel interference.Considering the same radio frequency band is shared by access link and backhaul link, we formulate a problem which jointly optimizes the backhaul link resource allocation and the access link beamforming to maximize the access link throughput.However,it is difficult to find the optimal solution to this protlem.Based on convex relaxation and block coordinated decent method, a suboptimal iterative algorithm is proposed.Simulation results show that the proposed algorithm can adaptively change coordination cluster size according to backhaul rate, balance backhaul loading of small cell base station,and significantly improve the system access link throughput.

In SDN networks, the limited flow tables at switches confine the number of flows which can pass through the OpenFlow switches.The limited bandwidth resources confine the data traffic which can pass through the network links.A concept of resource preference is suggested based on traffic characteristics, and batch routing strategy is proposed to process multiple flow requests simultaneously.We first model and formulate the batch routing optimization problem, and then present a heuristic algorithm called BRP-SA to execute batch routing algorithm with resource preference consideration.Simulation results show that BRP-SA effectively balances the utilization of both flow table and bandwidth resources, and then the network accepts more flow requests.

Since the traditional web fingerprinting methods are limited to identification of mainstream web server softwares, a kind of cyberspace device identification model based on K-means with cosine distance measure is proposed.Firstly, identification model is designed and verification method is determined.Secondly, the header fields and the status code of HTTP response are selected as characteristics of terminal device and then the characteristics are transformed into 32-dimensional feature vector by feature extraction and vectorization.Thirdly, cosine distance function is selected as similarity measuring function in K-means.Finally, experiment algorithm process is designed according to the identification model and the experiments for unlabeled samples and labeled samples are carried out.The results show that the identification model works for many kinds of terminal devices, including wireless router, web camera, and intelligent switch, and has high accuracy rate and low omission rate.

It has been well demonstrated that lipid accumulation in liver of the obesity is involved in endoplasmic reticulum stress, mitochondria dysfunction, and lipotoxicity, which is associated with insulin resistance (IR) and nonalcoholic fatty liver disease (NAFLD).Autophagy has been considered to be an adaptive response to stress, contributing to cellular homeostasis.It has been found that autophagy is activated during hepatic lipid accumulation.Autophagy plays an essential role in maintaining hepatic lipid metabolism.This review summarizes recent studies to identify the molecular mechanism of autophagy maintaining hepatic lipid metabolism in the obesity.