本文利用多时标微扰论，对束缚电子占据概率方程组提出一种数值解法。
This paper presents the numerical method for solving the rate equations of electron's average occupation probabilities by using multiple-time-scale perturbation theory.
文中根据概率计算的基本原理和高温构件蠕变损伤确定性解，得到蠕变损伤的概率方程。
Based on the principal of probabilistic calculation and deterministic solution of creep damage of high temperature components, the probabilistic model of creep damage was obtained.
对计算X射线发射中需要求解的束缚电子占据概率方程组，讨论了采用显式求解的可能性。
We discuss the evident algorithm's feasibility of the rate equations of electron's occupation probabilities needed in getting the X-ray's eradiation.
我为此困惑过一段时间，最终我得以想到另一个方程，这个方程可以克服负概率的逻辑困难。
I puzzled over it for a time and eventually I was able to think of another equation which would get over the logical difficulties of the negative probabilities.
本文用概率方法推导出包括溶胶中分子内环化反应的溶胶凝胶分配方程。
By the use of probability method, the sol-gel distribution equations including intramolecular reaction of sol are deduced.
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.
对于毕竟破产概率，结合维他里型积分方程系统，得到了破产的严重性以及破产前和后的剩余额的联合分布。
Coupled Volterra type integral equation systems for ultimate ruin probability, severity of ruin and joint distribution of surplus before and after ruin are also obtained.
求解这一方程可分别得到非线性构形状态演化和结点力随机演化的概率结构。
By solving the joint equations, the probability characteristic of evolution of the nonlinear configuration state and the node force could be evaluated.
并且推导出了关于有限时间破产概率和破产时间分布的递归方程。
Recursive equations for finite time ruin probability and distribution of ruin time are derived.
通过应用高温构件蠕变损伤的随机方程及一次二阶矩理论和方法，对高温构件的概率寿命预测进行了研究。
The probabilistic life prediction of high temperature components was studied by using the stochastic equation of creep damage and simple second-order theory and method of high temperature components.
该方法采用空间分割算法建立网格，以雷达检飞资料作为基础数据，用雷达方程推算各个网络中心的探测概率。
Based on the data of radar flight for test, the method applies radar equation to estimate the detection probability of gridding center.
基于上述非连续型下沉剖面方程的预计方法称为第二类广义概率积分法。
The prediction method based on the discontinuous subsidence profile equations is called the second type of generalized probability integration method.
以国内广泛使用的传递系数法的平衡方程为基础，运用“国际结构安全度联合委员会(JCSS)”推荐的验算点法建立土坡稳定性概率分析模型。
Based balance equation of transfer coefficient method that widely used in domestic, applying checking point method recommended by JCSS, establish probability analysis for stability of slope model.
推导了转换的概率流方程并给出了其定态解。
The commutative equation of probability flow is deduced and its definite solution is given.
通过对放矿随机过程的分析，提出了以布朗运动为理论基础的放矿过程散体颗粒移动的概率密度方程。
Based on the principle of Brownian motion, the ore drawn stochastic processes are analyzed and the probability density equation of loose bodies is thoroughly discussed and given in this paper.
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.
并从微观分析到宏观现象，由模糊概率测度思想提出了岩石损伤累积方程。
Then a rock damage evolutional equation was proposed by the authors based on theory of fuzzy probability measurement, and on micro-analysis and macro-observations.
应用蒙特卡罗数值模拟与二项分布累积概率评定方程相结合的方法，对某燃气源点火器的性能可靠性进行评定。
The paper uses Monte Carlo digital simulation and reliability assessment equation of binomial distribution to assess the performance reliability of the ignition device for a gas generator.
本文的目的是把增生映象的概念推广到概率赋范空间，并研究具增生映象的方程在概率赋范空间中解的存在性条件。
The purpose of this paper is to expand the concept of accretive mapping to probabilistic normed spaces and to study the existence conditions of solutions for the accretive mapping equations.
在实验基础上，用疲劳统计学理论研究了RPC弯曲疲劳寿命的概率分布规律，得出RPC的疲劳寿命方程。
Based on the experiments, fatigue life distribution of RPC is studied using fatigue life statistics theory, the fatigue life equation is established.
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.
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.
采用补充变量法，首先建立了系统稳态下的状态转移方程，通过求解得到了稳态下系统队长的概率母函数，进而计算出稳态下系统的平均队长。
A supplementary variable technique is used to obtain the steady-state function and the steady-state probability generation function of the number of customers in the system.
两个线性表达式的概率优势反映了模加方程的线性相关性。
Two linear expressions with probability advantages reflect the linear correlations among Modular Addition equations.
方程作用于整个概率振幅，而不只是其绝对值。
The Schrodinger equation acts on the entire probability amplitude, not merely its absolute value.
研究了一种可以在复杂几何条件下求解中子输运方程的离散方向概率方法(DDPM)。
For solving the neutron transport equation in complex geometry, the discrete direction probability method (DDPM) is developed.
本文通过与概率论有关的差分方程知识，讨论用差分方程解决离散型概率。
This paper is using some knowledge of difference equation related to probability theory. and the Discussion solves the dispersed probability question.
首先讨论了经典风险模型带常利率的情况。得到带利率情形下生存概率所满足的方程。
Firstly, we discuss the classic risk model with constant interest and obtained the equations of the survival probability.
分析了最小二乘法使用的方程数、信噪比和虚警概率对检测概率的影响。
The influence of the ratio of signal to noise, probability of false alarm, and the number of equations on detection probability was analyzed.
利用T10 6模式产品，采用MOS预报方法，建立了甘肃省15个站降水概率和相对湿度的预报方程。
By using T106 model product and MOS forecast method, The Precipitation Probability and Relative Humidity forecasting equations about 15 stations in Gansu province are constructed.
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