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Finally, to understand and reproduce the results of numerical simulations, we propose a phenomenological noise driven equations describing evolutions of macroscopic variables under the assumption of local energy equipartition and the fluctuation-dissipation theorem. The numerical results of the stochastic equations and those of numerical results from the original Hamiltonian dynamics coincide with each other very well.

最后，为了理解和重现数值模拟的结果，我们通过局域能量均分假设和涨落耗散定理，建立了一个由噪声驱动的宏观变量演化的唯象动力学方程。

Secondly,the deterministic equivalence problem of theprobabilistic inequality is discussed,and the expression formula of thedeterministic equivalences for several commonly used probabilitydistributions,such as normal,exponent,uniform,β and Γ distributions etc.,are given for the linear function with respect to random variables,which solvesthe problem of the deterministic equivalence for the linear-function-class.

其次，本章讨论了概率不等式的确定性等价问题，就随机变量的线性函数类，给出了与几种常用的概率分布，如正态分布、指数分布、均匀分布、β分布、Γ分布等等，相关的确定性等价问题。

But the equivalent computation of algebraic equation must be performed to get state variables corrections.

但是，这些算法中的大多数是在实时潮流计算的基础上，利用其中间结果和线性系统的叠加原理，直接求解出事故后的状态变量，都需要通过网络方程求解整个网络状态变量的增量，计算量较大，难于满足紧急状态下快速安全性评估的实时性要求，国内外一系列因静态潮流问题引起的大停电事故就是例证。

All other blood variables measured were not significantly changed as a result of the ergometer test.

其他测量指标没有显著变化。

Changing the scale of one x variable will lead to a change in the scale of that coefficient and standard error, so no change in the significance or interpretation on this variable and other variables.

改变一个变量x的测度单位会导致该变量系数和标准差的相应改变，所以所有解释变量显著性和对其解释没有改变。

Compared to the traditional forcast error variance decompostition, this new method doesn't depend on the order of the variables in the VAR model.

文章利用广义方差分解研究了沪市各个分类指数之间的关系，显示了系统冲击在各个行业指数之间传递的特点。

The star has some similarities to highly unstable aging stars called eruptive variables, which suddenly and unpredictably increase in brightness.

星有对被称为暴发的变数高度不稳定的老化星的一些类似，突然而且无法预测地光亮的增加。

Linear discriminant similar to esthesia device, classifies all points of the training assembly through searching linear combination which can best segment variables of all types, and Fisher linear discriminant was the first one.

与感知器类似的线性判别式是通过搜索可以最佳分隔各个类别的变量的线性组合来对训练集合中的所有点进行分类，最早的是Fisher线性判别式。

Because the property market value and the volatility of property market are difficult to estimate, so it is unable to forecast the default probabilities directly by using the estimative variables.

再根据中华信用评等所提供的等级资料针对台湾的上市柜公司进行不同信用评等违约机率的估计与比较。

In addition, it takes into account the possible effects of other variables including race, ethnicity and income.

此外，它考虑到可能产生的影响其他变数，其中包括种族，族裔和收入。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。