A study was made on temporal sequence of the earthquake swarm with M6. 7 which took place in Batang County, Sichuan Province, from April to Sept., 1989. Temporal sequence of the swarm was characterized by obvious sect...A study was made on temporal sequence of the earthquake swarm with M6. 7 which took place in Batang County, Sichuan Province, from April to Sept., 1989. Temporal sequence of the swarm was characterized by obvious sectional release process, in dex rise of creeping curve, certain order behavior among the peak values in the early sequence, transient tranquility before strong aftershocks and abnormal high values in sequential entropy. Subsequence of the swarm were represented by the forms of isolation pattern and mainshock-aftershock pattern,changed from the former pattern to the latter and characterized by fast-slow-fast attenuating pattern. According to time fractional dimension calculation results of the swarm sequence and the subsequences, it was discovered that non-scaling regions existed in the complicated temporal sequence structure, the span of non-scaling region of capacity dimension Do was different from that of the information dimension D1 of the same sequence, and the self-organizational features of the same sequence were different when various magnitude threshold values were selected for calculating. From the stochastic non-uniform spread of swarming high fractures in the seismic regions, it was primarily explained that the exponential attenuation of time sequence variation was likely to occur.Meanwhile, the level structures of various order sequences of the strong seismic swarm and the order problems were discussed.展开更多
Nanopore technique plays an important role in single molecule detection, which illuminates the properties of an individual molecule by analyzing the blockage durations and currents. However, the traditional exponentia...Nanopore technique plays an important role in single molecule detection, which illuminates the properties of an individual molecule by analyzing the blockage durations and currents. However, the traditional exponential function is lack of efficiency to describe the distributions of blockage durations in nanopore experiments. Herein, we introduced an exponentially modified Gaussian (EMG) function to fit the duration histograms of both simulated events and experimental events. In comparison with the traditional exponential function, our results demonstrated that the EMG provides a better fit while covers the entire range of the distributions. In particular, the fitted parameters of EMG could be directly used to discriminate the sequence length of the oligonucleotides at single molecule level.展开更多
文摘A study was made on temporal sequence of the earthquake swarm with M6. 7 which took place in Batang County, Sichuan Province, from April to Sept., 1989. Temporal sequence of the swarm was characterized by obvious sectional release process, in dex rise of creeping curve, certain order behavior among the peak values in the early sequence, transient tranquility before strong aftershocks and abnormal high values in sequential entropy. Subsequence of the swarm were represented by the forms of isolation pattern and mainshock-aftershock pattern,changed from the former pattern to the latter and characterized by fast-slow-fast attenuating pattern. According to time fractional dimension calculation results of the swarm sequence and the subsequences, it was discovered that non-scaling regions existed in the complicated temporal sequence structure, the span of non-scaling region of capacity dimension Do was different from that of the information dimension D1 of the same sequence, and the self-organizational features of the same sequence were different when various magnitude threshold values were selected for calculating. From the stochastic non-uniform spread of swarming high fractures in the seismic regions, it was primarily explained that the exponential attenuation of time sequence variation was likely to occur.Meanwhile, the level structures of various order sequences of the strong seismic swarm and the order problems were discussed.
基金the National Natural Science Foundation of China(No.21327807)the National Science Fund for Distinguished Young Scholars of China(No.21125522)
文摘Nanopore technique plays an important role in single molecule detection, which illuminates the properties of an individual molecule by analyzing the blockage durations and currents. However, the traditional exponential function is lack of efficiency to describe the distributions of blockage durations in nanopore experiments. Herein, we introduced an exponentially modified Gaussian (EMG) function to fit the duration histograms of both simulated events and experimental events. In comparison with the traditional exponential function, our results demonstrated that the EMG provides a better fit while covers the entire range of the distributions. In particular, the fitted parameters of EMG could be directly used to discriminate the sequence length of the oligonucleotides at single molecule level.