1、

based on four assumptions, theoretical analyses indicate that the amplitude of ultrasonic speckles in space is in the form of rice distribution, and the phase probability density function of the ultrasonic speckles is a compound function of gauss distribution function and gauss probability integral function.

在假设条件下,理论分析的结果表明,空间超声散斑的振幅服从Rice分布,而它们的相位概率密度函数是一个包含Gauss分布函数和Gauss概率积分函数的复合函数。

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2、

Space debris delta-velocity probability density function was deduced by NASA's standard breakup model, and time integral algorithm of collision probability between spacecraft and any debris was built.

推导了基于NASA标准解体模型的碎片分离速度概率密度函数,建立了计算航天器与单颗碎片碰撞概率的时间积分算法。

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3、

The simplified expression of error integral function is used to derive the precise expressions of pairwise error probability for MRC receivers wherein the probabilities of slow fading multichannel come from different distribution families.

基于误差积分函数的简化计算式,推导了分集接收的多路信道分别具有不同衰落特性时,成对差错概率的精确表达式。

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4、

The characteristic analysis of the calculating for the time series fractal dimension is discussed. An formula for calculating the correlation integral by the point distribution Probability function in phase space is obtained.

就时间序列分数维的计算过程进行特征分析,用相空间中点分布的概率密度函数推导出关联积分的计算公式,并就一般分数维的计算方法作了误差分析。

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5、

The Laplace transform method is found as an effective method to solve the integral issue of probability density under complex constraint.

用Laplace变换法有效地解决了复杂约束条件下概率密度函数的积分问题,并给出体系中层数较少时极限分布的表达式。

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6、

suppositive conditions are given of calculating probability of surviving by using the whole probability formula. the general expression of the solution and the integral equation are deduced which satisfies conditional probability density function.

给出利用全概率公式计算船舶破损后残存概率的假设条件,并推导条件概率密度函数所满足的积分方程及解的一般表达式。

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7、

the posterior probability distribution involved in bayesian network updating is a complicated multi-dimensional integral, markov chain monte carlo method, more specifically, metropolis-hastings sampling algorithm and convergence diagnosis algorithm, is introduced to update the ductility demand posterior probability distribution with earthquake intensity observations.

贝叶斯网的后验分布是一个非常复杂的高维积分问题。本文引进马尔科夫链蒙特卡罗模拟方法,即基于Metropolis-Hastings采样及收敛性检验算法,计算给定地震强度观察值条件下延性需求的后验分布。

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8、

College: Differential and Integral Calculus , Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math.

大学: 微积分, 微分公式, 线性代数, 概率和统计, 离散数学.

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9、

According to random integral theory, the coefficient of consolidation is modeled as a homogeneous random field, and the spatial probability characteristics of consolidation of soft clay ground is studied.

根据齐次随机场和随机积分的概率方法,建立了固结系数的随机场模型,并研究了软粘土地基固结的空间概率特性。

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10、

And the analog data of the concentration in a certain points over time by FLUENT is introduced the probability function on the consequences of toxic leak, we can get the probability of individual death at a point by integral on concentration and time.

并将FLUENT软件在某点处浓度随时间变化的模拟数据引入毒物泄漏后果的概率函数法,进行浓度与时间的积分得到某点处引起个体死亡的概率。

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