英德
有道
百度
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维基
百科
微分过程 [wēi fēn guò chéng]
differential process
- 运用比较定理，还证明了正倒向随机微分效用过程的时间一致性、终值单调性、消费单调性和凹性等有关性质。
By the comparison theorem, a series of properties of the backward-forward differential utility process is gotten, such as time consistence, monotonicity with respect to the terminal value, monotonicity with respect to the consumption and concavity. - 文摘:讨论了扩散迁移与电致迁移共同作用时的扩散机制，导出了可描述这一过程的微分方程.
Abstract: The diffusion mechanism for the diffusion migration with electromigration together was discussed.The differential equations for describing the diffusion mechanism were obtained. - 在研究疲劳过程中材料强度退化规律的基础上,建立了一个强度退化模型.对其进行随机化处理,得到控制强度退化过程的随机微分方程.在一定假设条件下,获得了剩余强度概率密度函数的封闭解,并推导出疲劳寿命的反高斯分布形式.给出一种考虑损伤状态对随机涨落影响的近似处理方法.与试验数据的比较结果表明,本文的模型和方法是合理的.
Based on the study of strength degradation of material in the fatigue process,a strength degradation model is proposed.A stochastic differential equation,which controls strength degradation,is obtained from the model randomized by Markov process.By using the theory of stochastic,the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained.Under a few suitable hypotheses,inverse Gaussian distribution of fatigue life is derived,and verified by means of experimental data.The result shows that the model and the method are reasonable.
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