实际上，我不使用这些图来计算尾数概率，因为我可以实现数学函数来返回给定x平方分布值的尾数概率。

In practice, I don't use such graphs to compute tail probabilities because I can implement mathematical functions to return the tail probability for a given Chi Square value.

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本文对球函数方程进行了求解，并将球函数方程的解合理地应用于角动量平方算符的本征值问题中。

The solution of spherical function is given in the paper, and it is applied reasonably in the problem of eigenvalue of angular momentum square operator.

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通过设计一个平方和函数，使蜡沉积速率的计算值与实测值的残差平方和为最小的优化数学模型成为一个无约束的非线性规划问题。

The paper designs a sum of square function, which is an optimization mathematical model that makes the residual sum of squares of wax deposition rate between the calculated and the measured minimum.

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You can also have angular notes, and when we talk about an anglar node, what we're talking about is values of theta or values of phi at which the wave function, and therefore, the wave function squared, or the probability density are going to be equal to zero.

我们也可以有角向节点，当我们说道一个角向节点时，我们指的是在某个theta的值,或者phi的值的地方，波函数以及波函数的平方，或者概率密度等于零。

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