摘要:On the complicated or implicit limit state functions in the reliability problems, a response surface method for reliability computation based on Support Vector Regression (SVR) is presented. A fit of the limit state function is constructed by this method. The partial derivatives of the fit could be easily computed and further be used to calculate the reliability through the ordinary first or second order reliability method. Firstly, the required training samples by Latin Hypercube sampling are generated in this paper. Secondly, the substituted function of the limit state function is obtained using the SVR. Thirdly, the reliability index and failure probability are calculated by the ordinary gradient optimization method. Results of the numerical examples justify the reliability and effectiveness of the proposed method, which provides a new approach for the reliability computation.
摘要:Existence and uniqueness and comparison theorems of solutions to infinite horizon forward-backward stochastic differential equations with Poisson jumps (FBSDEs) are discussed. Firstly, the existence and uniqueness of adapted solutions to such FBSDEs is proved by applying smoothing technique under assumptions of non-Lipschitz conditions and weak monotonicity on the coefficients. Then two comparison theorems for such FBSDEs are derived by using stopping time method and the Tanaka formula.
关键词:forward-backward stochastic differential equations with Poisson jumps;adapted solution;comparison theorem;Tanaka formula
摘要:The symmetry and group-invariant solutions are discussed for the following KdV equation with distributed delayut=uxxx+6(f*u)uxwhere is a delay kernel function. By using the classical Lie Group theory to the KdV equation with distributed delay, three symmetries and group-invariant solutions for this delay equation was obtained when the delay kernel is “weak” generic kernel.
摘要:The radial absolutely continuity of the orientation-preserving homeomorphisms on the complex plane is studied. Under a definite modular condition, the orientation-preserving self-homeomorphisms between disks are absolutely continuous on almost every radial ( except any neighborhood of the zero point) are proved by using the Rengel inequality.
摘要:The concentrations, composition patterns and sources of polycyclic aromatic hydrocarbons (PAHs) are quantified and explored in twenty-eight surface soil samples collected from typical industrial sites and traffic sites in Guangzhou. The results show that there is a high variability in the total PAHs concentrations in soil samples, ranging from not detected to 5543.5μg/kg dry weight. The most frequent detected PAH compounds in soil samples are fluorene, fluoranthene, chrysene and benzo[b]fluoranthene with detection ratios of above 70%. The part of soils from an abandoned fertilizer plant production area and an abandoned airfield are contaminated by PAHs with obvious higher levels of PAHs than those in soils from nearby industrial areas or highway. PAHs composition patterns in soils of all sampling areas are characterized mainly by compounds with four-ring and more than four-ring. According to the composition characteristics of PAHs and fluoranthene/pyrene (Fla/Pyr) ratio, one of the dominant PAHs sources in study areas is preliminarily inferred to be pyrolysis.
摘要:Under the impact of tide and runoff, the influencing factors on water transparency of waterfront tide-influenced lakes always change with a high frequency. TheInnerLakeZhenjiangCityMnMn3
摘要:HilbertHuang Transform and its end issue and orthogonality were introduced to analyze the characteristic of waves in surf zone and groundwater level in beach through typhoon by HHT. The results show that waveenergy in surf zone augments and transfers to low frequency during typhoon, weakens and transfers to high frequency after typhoon.Tthe oscillation of the groundwater level in beach is influenced by tidal and its period may be influenced by typhoon; coupling of chronometer high tide and typhoon result in singularity of groundwater oscillation.
摘要:TGIR analysis on the inhomogeneous MME from the Luogang and Wangmu granite bodies in Guangdong indicates that water content of a MME decreases from its core to rim, scilicet the rim volatile fluid of MME are more than the core, suggesting temperature difference between center and edge during formation of MME. The authors consider that formation of the zonal structure of MME should be related to distribution of water within the MME and on which, further discuss the formation temperature of enclaves between 715-850 °C .
摘要:Using Confocal microscope system in human vaginal epithelial cell line VK2/E6E7 cells loaded with the pHdependent fluorescent probe Snarf-4F, external ATP(10~1 000 μmol/L) was proved to dosedependently induce pHi decrease. When adding ATP (200 μmol/L) to the extracellular buffer, it induced a rapid pHi decrease and the intracellular acidification was rapidly reversed upon removal of external ATP. These results show external ATP could induce the intracellular acidification of VK2/E6E7 cells.