给出了四维坐标变量的几率密度函数公式，并简述了相应的抽样方法。
The probability function for the four dimensional new variables are derived and the sample procedures f…
然而，该函数的简单二维密度绘图马上给我们一种清晰的感觉，那就是在原公式中包含的简单而漂亮的对称结构。
However, a simple two-dimensional density plot of this function immediately gives us a good feeling for the simple and beautiful symmetry contained in the original formula.
应力、强度概率密度函数确定可采用应力-强度干涉模型，用公式或数值积分求可靠度。
If probability density functions of stress and strength are definite, stress strength interference model can be used to calculate reliability using formulation or numerical value integration.
SQUID的量子干涉效应，将电子对波函数代入在磁场中运动的几率流密度公式，得到在D。
SQUID. Substituting the formule of the probability current density with the electron-pair wave function, this paper obtains the relation between the magnetic flux of the loop in D.
提出了依据宽带随机谱功率密度函数求解等效应力幅的半解析公式。
The semi-analytical solution for evaluating ESR from spectral density function of wide-band random loading is presented.
给出确定利用最大熵原理建立的功能函数概率分布密度的待定参数时由高斯积分表达的离散化公式。
Discrete formulas expressed by Gauss-quadrature are presented when determine the parameter of probability density function which is established based on maximum entropy theory.
文中导出了用初始裂纹长度的分布及马尔可夫转移概率密度函数计算给定时刻裂纹长度分布的积分公式。
The distribution function of crack length at given time can be calculated by integration of the initial crack length distribution and the transition function of Markoff process.
本文提出了按正态分布密度函数计算深基坑开挖引起的地表沉降值的公式。
In this paper, a formula of ground settlement around deep excavation is proposed based on the normal distribution of density function.
结果表明：流量与汇入率呈指数函数关系；流量-密度呈线性函数关系，并与美国经验公式一致。
The results indicate that the relationship between the flow and merging rate is exponential, and the flow-density relationship does linear, being agreeable with the empirical formula from America.
频谱参数的预测公式由各基频下的条件概率密度函数导出，频谱参数的修改通过正弦模型实现。
The spectral parameters were predicted using the conditional probabilistic distribution function based on the pitch and were modified synchronizingly with the pitch using the sinusoidal model.
给出了停留时间分布密度函数、无因次半速度半径轴向增长、径向射流最大速度轴向衰减和径向速度分布计算公式。
The equations of the density function of residence time distribution, the axial growth of the velocity half - radius, the axial decay of radial maximum jet ve...
给出了停留时间分布密度函数、无因次半速度半径轴向增长、径向射流最大速度轴向衰减和径向速度分布计算公式。
The equations of the density function of residence time distribution, the axial growth of the velocity half - radius, the axial decay of radial maximum jet ve...
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