这是一个概率问题，但用微分方程解决，故称概率微分模型。
This is a probability problem, called it probability differential model because it's solved by differential equation.
大学：微积分，微分公式，线性代数，概率和统计，离散数学。
College: Differential and Integral Calculus, Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math.
同时，由于布朗运动与微分方程有密切的联系，它又成为概率与分析联系的重要渠道。
Meanwhile, because Brownian motion is closely associated with differential equations, it has become an important channel to contact probability with analysis.
引进带干扰负风险和模型。给出该模型的破产概率所满足的积分-微分方程及解析式。
The paper considers a risk model with negative risk sum perturbed by diffusion. The integro-differential equation and the explicit expression for the ruin probability are derived.
利用网微分方法将随机选择的概念，推广到有限马氏链随机转移概率随机调和平均的情形。
The notion of random selection is extended to random harmonious average of random transition probability for nonehomgenous Markov chains by using a new method of differentiation on net.
为了研究随机海浪中船舶航行安全域的构造及生存概率的预报方法，考虑阻尼和复原力矩的非线性及海浪的随机性，建立随机横浪中船舶运动的随机非线性微分方程。
The random nonlinear differential equation of the rolling motion of ships in random beam waves is established considering the nonlinear damping, nonlinear restoring moment, and the random waves.
以往关于生物种群增长的数学模型多是用微分方程和概率极限定理的方法来推导的。
Differential equation and probability limit theorem have been widely used in the mathematical model of biological population growth.
考虑驾驶员在入口匝道加速车道上行驶过程中车辆汇入的临界间隙变化的情况，应用微分法推导求得加速车道上车辆的汇入概率模型。
Considering the vehicles' changeable critical headway when driving along the acceleration lane of an on-ramp, a vehicle merging model was proposed using differential method.
考虑驾驶员在入口匝道加速车道上行驶过程中车辆汇入的临界间隙变化的情况，应用微分法推导求得加速车道上车辆的汇入概率模型。
Considering the vehicles' changeable critical headway when driving along the acceleration lane of an on-ramp, a vehicle merging model was proposed using differential method.
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