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代数不等式的概率证明方法
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作者 刘杰 胡太忠 庄玮玮 《高等数学研究》 2023年第1期21-24,27,共5页
本文讨论了三种概率性质在代数不等式证明中的应用,阐述了如何针对不等式的特点构造随机事件和随机变量,运用概率强可加性、方差非负性、期望线性性质进行不等式证明,同时结合实例展示了证明过程和技巧.
关键词 概率可加 方差非负 期望线 不等式
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用概率树图法求解事件发生的概率 被引量:3
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作者 王荣 《天津成人高等学校联合学报》 2004年第5期18-20,共3页
 求事件发生的概率时,首先按事件先后发生的顺序画出概率树图,在概率树图上注明各个事件发生的概率,然后沿事件的终点重返始点,再利用概率的乘法公式和概率的可加性,即可求得事件发生的概率.
关键词 事件发生概率 概率树图 乘法公式 概率可加性
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Real-time reliability assessment based on acceleration monitoring for bridge 被引量:2
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作者 ZHANG LiYe SUN LiMin SHANG ZhiQiang 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2016年第8期1294-1304,共11页
Bridge health monitoring (BHM) has become increasingly significant in the life-cycle of the structure such as maintenance, repair and rehabilitation. It is necessary to use BHM information efficiently to assess the ... Bridge health monitoring (BHM) has become increasingly significant in the life-cycle of the structure such as maintenance, repair and rehabilitation. It is necessary to use BHM information efficiently to assess the working conditions of the bridge. The main objective of this study is to develop an effective method and establish a framework for the real-time reliability assessment based on BHM acceleration information. The first-passage probability and its further development have been proposed to as- sess the reliability probability. The first-passage probability shows the probability of that a scalar process exceeds a designated threshold during a given time interval. The advantage of the proposed method is the assessment of the real-time reliability probability based on the monitoring information during an assessment reference period. Furthermore, the velocity data and displacement data are calculated from the acceleration monitoring data using the relationships between their power spectral density (PSD) functions. The real-time reliability assessment of Donghai Bridge, which is the first large scale cross-sea bridge in China, demonstrates that the proposed method is efficient and effective. 展开更多
关键词 REAL-TIME reliability first passage monitoring information power spectral density (PSD) Donghai Bridge
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