把营运船舶的船体剖面模数看做受蚀耗影响的随机变量，基于随机变量函数线性化提出一个简单方法。
Hull section moduli of ships in service are treated as random variables due to corrosion and wear. A method based on linearization of a random function is described.
求随机变量函数的分布是概率论中的一个重要课题，无论是在理论还是在应用上都有着十分重要的意义。
Solving the distribution of random variable function which is of great significance whether in theory or in application is an important question in probability theory.
随机变量是一个根据概率分布取值的函数。
A random variable is a function that takes values based on a probability distribution.
取代单个值，随机变量拥有描述估计值可能性的函数，该函数称为变量的概率分布。
Instead of this single value, a random variable has a function that describes the likelihood of values for the estimate and is called the variable's probability distribution.
主要讨论了一类随机规划在函数序列上图收敛和随机变量序列均方收敛意义下，该类随机规划的最优解和最优值的收敛情况。
The convergence of the optimal value and optimal solution of the stochastic programming are given as the function sequence is epi-convergence and the random variable sequence is square convergence.
对于功能函数中含有模糊分布参数(FDP)的随机变量问题，如何准确且简便地评估其可靠性，是十分重要的。
For a problem with performance functions which include random variables with fuzzy distribution parameters (FDP), it is important to evaluate their reliability accurately and rapidly.
讨论了特征函数的一些性质，并对随机变量的研究作了一定的探讨。
Some qualities of characteristic functions are discussed, and study on random variables is studied.
阐述了爆破地震波的质点最大振速V是一个随机变量，它与Q、R没有一般意义上确定的函数关系，因此振动只能控制在某一区间。
The maximum velocity V in blasting vibration is a random variable, it has no definite function relation to Q and R in general meaning. So V only can be controlled in a confidence interval.
随机变量的分布函数及其反函数在概率论中占有重要地位。
Random variable distribution functions and their inverse functions take an important role in probability theory.
由于准则方程的高次非线性和复杂性，文中利用复合函数求导法则，直接针对基本随机变量求解。
Because of the complexity and high order nonlinear property of the criterion, a derivative method for compound function is used to get reliability.
奇异函数是一极为重要的奇异型随机变量的分布函数，被广泛研究。
Singular function is an important distribution function of the singular random variable. It is studied widely.
基于结构可靠性的一般理论，建立了腐蚀缺陷管线失效的极限状态函数，并以规则化的随机变量形式表示。
Based on the general theory of structure reliability, a limit-state function for assessment of failure pipeline was established and expressed as the normalized random variables.
定义了模糊随机变量值凸函数概念，讨论了它的基本性质。
The concept of fuzzy random variable-valued convex functions is introduced.
本文对随机变量分布函数两种不同定义进行了比较，指出了不同定义的分布函数其性质上的差异。
This article the compares the two kinds of different definitions of random variable distribution function and shows nature differences of distribution function in different definitions.
第二部分是有关平稳随机变量均值的函数表达式及其有关术语。
The second Part is about the exPression of Average stutistics. values for stationary chance variable and its terms concerned.
介绍了用离散型随机变量的二项分布函数从试题库随机选题的数学模型。
This paper introduces the mathematical model for dynamically choosing questions from the question database by using binary distributed function with random variables.
当单调函数的反函数不能显性表示时，连续型随机变量的分布密度曲线仍可通过参数方程的形式获得。
When a inverse function of monotone function can not show the explicit formula, the distribution density curve of continuous randon variable can be gained with a parametric equation.
不要求了解所涉及的随机变量的分布函数是该方法的特点。
The advantage of the method is that there is no requirement on the distribution of the random variables involved.
连续随机变量下的面积概率密度函数对应的概率。
For continuous random variables the area under the probability density function corresponds to probability...
其结论是：在不同方式的定义下，同一随机变量的分布函数几乎处处相等。
This paper discusses the difference of the two of definitions of distribution function, and the result is that the tow functions are equal almost everywhere.
一次二阶矩法是目前求解结构可靠性分析的主要计算方法之一，该方法要求功能函数对随机变量的偏导运算。
Reliability analysis using First Order Second Moment (FOSM) is important for structural probability design, in which process demands the derivative operation.
最后利用母函数这一工具求得一些连续型非负分布随机变量的数学期望及方差。
And finally, this tool-the generating function-can be used to get some expectation and variance of random variable of continual-type non-negative distribution.
最后利用母函数这一工具求得一些连续型非负分布随机变量的数学期望及方差。
And finally, this tool-the generating function-can be used to get some expectation and variance of random variable of continual-type non-negative distribution.
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