In this paper,a probe method for nonlinear programming wiht equality and inequality is given. Its iterative directions at an arbitrary point x can be obtained through solving a liear system. The terminate conditions a...In this paper,a probe method for nonlinear programming wiht equality and inequality is given. Its iterative directions at an arbitrary point x can be obtained through solving a liear system. The terminate conditions and choices of the parameters are given. The global convergence of the method is proved. Further more,some well known gradient projection type algorithms [1-15] and new gradient projection type algorithms from the linear system are given in this paper.展开更多
The gravitational wave background(GWB) produced by extreme-mass-ratio inspirals(EMRIs) serves as a powerful tool for probing the astrophysical and dynamical processes in galactic centers. EMRI systems are a primary ta...The gravitational wave background(GWB) produced by extreme-mass-ratio inspirals(EMRIs) serves as a powerful tool for probing the astrophysical and dynamical processes in galactic centers. EMRI systems are a primary target for the space-based detector laser interferometer space antenna due to their long-lived signals and high signal-to-noise ratios. This study explores the statistical properties of the GWB from EMRI, focusing on the calculation methods for the GWB, the astrophysical distribution of EMRI sources, and the influence of key parameters, including the spin of supermassive black holes(SMBHs) and the masses of compact objects(COs). By analyzing these factors, we determine the distribution range of the characteristic strain of the GWB from EMRIs. We find that the final eccentricity distributions appear to have negligible effect on the intensity of the GWB due to rapid circularization before they become detectable and the spin of the SMBH enhances the gravitational wave characteristic strain by approximately 1% compared to cases without spin effects. The masses of COs can also significantly affect the characteristic strain of the GWB from EMRIs, with black hole as CO producing a gravitational wave signal intensity that is approximately one order of magnitude higher compared to cases where neutron star or white dwarf are the COs.展开更多
The contamination behavior of Langmuir probe in silane glow discharge plasma are discussed.A hot electrical probe is suggested to improve the diagnostics of SiH_(4) plasma.Results show the safe duration for reliable m...The contamination behavior of Langmuir probe in silane glow discharge plasma are discussed.A hot electrical probe is suggested to improve the diagnostics of SiH_(4) plasma.Results show the safe duration for reliable measurements of electron temperature can be as long as 40min by this method.展开更多
实现土壤失水过程的原位监测,对红壤区水土资源管理、自然灾害预警及防灾减灾具有重要意义。热脉冲法是目前土壤水热特性原位测量的常用方法,但红壤土失水时极易产生裂缝,单探针热脉冲法能否准确测定失水过程目前尚不清楚。通过室内模...实现土壤失水过程的原位监测,对红壤区水土资源管理、自然灾害预警及防灾减灾具有重要意义。热脉冲法是目前土壤水热特性原位测量的常用方法,但红壤土失水时极易产生裂缝,单探针热脉冲法能否准确测定失水过程目前尚不清楚。通过室内模拟土壤从饱和到干燥的连续失水过程,用时域反射法(TDR)作为标准对照,验证热脉冲方法测定土壤失水过程的准确性,并评估土壤裂缝产生后对单探针热脉冲法的影响。结果表明:随着土壤失水,土壤热导率K值由1.8 W/(m·K)减小到1.1 W/(m·K),热扩散率α值由1.0×10^(-8)m^(2)/s增加到3.0×10-8 m 2/s,比热容C值由1.8×108 J/(kg·K)减小到0.4×10^(8)J/(kg·K);接触热导率H值随着土壤失水具有台阶状变化特征,与土壤含水率变化速率的转折相吻合;与TDR测定结果相比,MAE和RMSE值分别为1.66和1.94 cm 3/cm^(3),R^(2)值为0.96;单探针热脉冲法能提供可靠的红壤土失水过程测定结果,且H值的变化能指征土壤裂隙的产生,可为土壤干湿循环过程、边坡和堤坝稳定性的动态监测提供技术和理论支撑。展开更多
文摘In this paper,a probe method for nonlinear programming wiht equality and inequality is given. Its iterative directions at an arbitrary point x can be obtained through solving a liear system. The terminate conditions and choices of the parameters are given. The global convergence of the method is proved. Further more,some well known gradient projection type algorithms [1-15] and new gradient projection type algorithms from the linear system are given in this paper.
基金supported by the National Key R&D Program of China (Grant No. 2020YFC2201400)。
文摘The gravitational wave background(GWB) produced by extreme-mass-ratio inspirals(EMRIs) serves as a powerful tool for probing the astrophysical and dynamical processes in galactic centers. EMRI systems are a primary target for the space-based detector laser interferometer space antenna due to their long-lived signals and high signal-to-noise ratios. This study explores the statistical properties of the GWB from EMRI, focusing on the calculation methods for the GWB, the astrophysical distribution of EMRI sources, and the influence of key parameters, including the spin of supermassive black holes(SMBHs) and the masses of compact objects(COs). By analyzing these factors, we determine the distribution range of the characteristic strain of the GWB from EMRIs. We find that the final eccentricity distributions appear to have negligible effect on the intensity of the GWB due to rapid circularization before they become detectable and the spin of the SMBH enhances the gravitational wave characteristic strain by approximately 1% compared to cases without spin effects. The masses of COs can also significantly affect the characteristic strain of the GWB from EMRIs, with black hole as CO producing a gravitational wave signal intensity that is approximately one order of magnitude higher compared to cases where neutron star or white dwarf are the COs.
基金Supported by the National Natural Science Foundation of China.
文摘The contamination behavior of Langmuir probe in silane glow discharge plasma are discussed.A hot electrical probe is suggested to improve the diagnostics of SiH_(4) plasma.Results show the safe duration for reliable measurements of electron temperature can be as long as 40min by this method.
文摘实现土壤失水过程的原位监测,对红壤区水土资源管理、自然灾害预警及防灾减灾具有重要意义。热脉冲法是目前土壤水热特性原位测量的常用方法,但红壤土失水时极易产生裂缝,单探针热脉冲法能否准确测定失水过程目前尚不清楚。通过室内模拟土壤从饱和到干燥的连续失水过程,用时域反射法(TDR)作为标准对照,验证热脉冲方法测定土壤失水过程的准确性,并评估土壤裂缝产生后对单探针热脉冲法的影响。结果表明:随着土壤失水,土壤热导率K值由1.8 W/(m·K)减小到1.1 W/(m·K),热扩散率α值由1.0×10^(-8)m^(2)/s增加到3.0×10-8 m 2/s,比热容C值由1.8×108 J/(kg·K)减小到0.4×10^(8)J/(kg·K);接触热导率H值随着土壤失水具有台阶状变化特征,与土壤含水率变化速率的转折相吻合;与TDR测定结果相比,MAE和RMSE值分别为1.66和1.94 cm 3/cm^(3),R^(2)值为0.96;单探针热脉冲法能提供可靠的红壤土失水过程测定结果,且H值的变化能指征土壤裂隙的产生,可为土壤干湿循环过程、边坡和堤坝稳定性的动态监测提供技术和理论支撑。
