Under constant interest force, the risk processes for old and new insurance business are modelled by Brownian motion with drift. By the stochastic control method, the explicit expressions for the minimum ruin probabil...Under constant interest force, the risk processes for old and new insurance business are modelled by Brownian motion with drift. By the stochastic control method, the explicit expressions for the minimum ruin probability and the corresponding optimal strategy are derived. Numerical example shows that the minimum probability of ruin and the optimal proportion for new business decrease as the interest rate increases, and vice versa.展开更多
We study the short-term memory capacity of ancient readers of the original New Testament written in Greek, of its translations to Latin and to modern languages. To model it, we consider the number of words between any...We study the short-term memory capacity of ancient readers of the original New Testament written in Greek, of its translations to Latin and to modern languages. To model it, we consider the number of words between any two contiguous interpunctions I<sub>p</sub>, because this parameter can model how the human mind memorizes “chunks” of information. Since I<sub>P</sub> can be calculated for any alphabetical text, we can perform experiments—otherwise impossible— with ancient readers by studying the literary works they used to read. The “experiments” compare the I<sub>P</sub> of texts of a language/translation to those of another language/translation by measuring the minimum average probability of finding joint readers (those who can read both texts because of similar short-term memory capacity) and by defining an “overlap index”. We also define the population of universal readers, people who can read any New Testament text in any language. Future work is vast, with many research tracks, because alphabetical literatures are very large and allow many experiments, such as comparing authors, translations or even texts written by artificial intelligence tools.展开更多
随着“双碳”目标的提出,我国的新能源建设正处于新一轮的发展阶段,但是高渗透率新能源的随机性、波动性也给电力系统静态电压稳定性分析带来了挑战。与此同时,电力电子技术的发展使得柔性交流输电系统(flexible AC transmission system...随着“双碳”目标的提出,我国的新能源建设正处于新一轮的发展阶段,但是高渗透率新能源的随机性、波动性也给电力系统静态电压稳定性分析带来了挑战。与此同时,电力电子技术的发展使得柔性交流输电系统(flexible AC transmission system,FACTS)在调节线路潮流、改善电力系统静态电压稳定性方面得到广泛应用。提出了一种考虑新能源不确定性的含分布式静止同步串联补偿器(distributed static series compensator,DSSC)的电力系统静态电压稳定性概率评估方法。首先分析了新能源并网系统的静态电压稳定机理。然后阐述了DSSC的工作原理,建立了DSSC的等效功率注入模型,并基于此模型推导出含DSSC的潮流方程。其次基于潮流计算方程提出了一种能映射新能源不确定性的静态电压稳定性指标,并采用蒙特卡洛模拟法实现了系统静态电压稳定性指标概率评估。最后通过算例分析验证了高渗透率新能源的不确定性导致系统静态电压稳定指标分布范围变大,系统失稳概率增加,合理配置DSSC能够有效提升电力系统静态电压稳定性,所提方法能够准确反映新能源不确定性对电网稳定性的影响,具有一定的工程应用价值。展开更多
基金The National Natural Science Foundations of China (No.10301011 and No.70271069)
文摘Under constant interest force, the risk processes for old and new insurance business are modelled by Brownian motion with drift. By the stochastic control method, the explicit expressions for the minimum ruin probability and the corresponding optimal strategy are derived. Numerical example shows that the minimum probability of ruin and the optimal proportion for new business decrease as the interest rate increases, and vice versa.
文摘We study the short-term memory capacity of ancient readers of the original New Testament written in Greek, of its translations to Latin and to modern languages. To model it, we consider the number of words between any two contiguous interpunctions I<sub>p</sub>, because this parameter can model how the human mind memorizes “chunks” of information. Since I<sub>P</sub> can be calculated for any alphabetical text, we can perform experiments—otherwise impossible— with ancient readers by studying the literary works they used to read. The “experiments” compare the I<sub>P</sub> of texts of a language/translation to those of another language/translation by measuring the minimum average probability of finding joint readers (those who can read both texts because of similar short-term memory capacity) and by defining an “overlap index”. We also define the population of universal readers, people who can read any New Testament text in any language. Future work is vast, with many research tracks, because alphabetical literatures are very large and allow many experiments, such as comparing authors, translations or even texts written by artificial intelligence tools.
文摘随着“双碳”目标的提出,我国的新能源建设正处于新一轮的发展阶段,但是高渗透率新能源的随机性、波动性也给电力系统静态电压稳定性分析带来了挑战。与此同时,电力电子技术的发展使得柔性交流输电系统(flexible AC transmission system,FACTS)在调节线路潮流、改善电力系统静态电压稳定性方面得到广泛应用。提出了一种考虑新能源不确定性的含分布式静止同步串联补偿器(distributed static series compensator,DSSC)的电力系统静态电压稳定性概率评估方法。首先分析了新能源并网系统的静态电压稳定机理。然后阐述了DSSC的工作原理,建立了DSSC的等效功率注入模型,并基于此模型推导出含DSSC的潮流方程。其次基于潮流计算方程提出了一种能映射新能源不确定性的静态电压稳定性指标,并采用蒙特卡洛模拟法实现了系统静态电压稳定性指标概率评估。最后通过算例分析验证了高渗透率新能源的不确定性导致系统静态电压稳定指标分布范围变大,系统失稳概率增加,合理配置DSSC能够有效提升电力系统静态电压稳定性,所提方法能够准确反映新能源不确定性对电网稳定性的影响,具有一定的工程应用价值。
