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It is shown that the decrease of reliability is evident when longitudinal probability distributions of cross sections of unbonded prestress tendons are considered, and the index of reliability is reduced with the increase of the number of independent and identically distributed random variables.

结果表明，考虑无粘结预应力筋截面积沿长度方向的分布特性而引起的可靠指标的降低比较明显，可靠指标随着独立同分布随机变量的数目的增大而减小。

The method can be used not only for predicting the maximum or minimum parallel execution time, but also for solving any problem about the maximum or minimum of identically, indentical distributed random variables.

这种方法不仅适于解决"最大"或"最小"的并行执行时间预测问题，而且适于任何求独立同分布随机变量的最大值与最小值问题。

For the longitudinal probability distributions of cross sections of unbonded prestress tendons, it is evident that the reliability index of unbounded prestressed concrete members decreases with the number of independent and identically distributed random variables decreases.

分析结果表明，体外无粘结预应力钢筋截面面积沿长度方向的变化，引起结构可靠指标的降低是比较明显的，可靠指标随着独立同分布随机变量的数目的增大而减小。

The basic conclusion is that the identifiability of general RCM models included the switching regression is dependent on the distribution of explanatory variables to some extent.

基本的结论是，包括开关回归在内的一般回归类混合模型的可识别性在很大程度上取决于解释变量的分布状况。

Third, it helps to identify relevant as well as control variables to be include in the analysis.

第三：他帮助辨认包括在分析中可控制变数的相关性。

Both groups were similar in terms of demographic variables, and both had significant cognitive and functional impairment.

两组的人口统计学变量相似，且都有明显的认知及机能缺损。

Finite element discretization was carried out on the mathematical model to get a fully coupled finite element equation with the parameters of element nodal displacement and element nodal pore pressure as unknown variables. Finally, the transient nonlinear finite element equation in incremental form for reservoir fluid-solid coupling is obtained by means of time discretization in implicit difference scheme.

基于与微分方程等价的加权余量公式，在空间域采用有限元离散，对时间域进行隐式差分格式离散，导出了以单元节点位移和单元节点孔隙压力为未知量的储层流固耦合的非线性有限元增量方程。

At first, for nonlinear assembly function, the implicit differentiation and multi-variables Tayler Series Expansion are used to obtain the linear relationship between input and output.

2三维偏差模型的线性化求解方法传统的蒙特卡洛仿真计算效率低，难以应用于复杂车身装配公差设计这样需求大量迭代运算的场合，本文提出一种高效率的线性化求解方法。

Based on the unstructured model of Nosiheptide fermentation process, the secondary variables were selected according to the implicit function existence theorem, which made the selection theoretically strict.

在诺西肽发酵过程非结构模型的基础上，根据隐函数存在定理确定出辅助变量，从而使其选择有严格的理论依据。

Based on the segmented unstructured model of Nosiheptide fermentation process, the secondary variables are selected according to the implicit function existence theorem. The on-line identification of fermentation phases is accomplished by using an indicator variable which is gained by mathematical inference, and for each phase, a local soft sensor model is developed.

首先以分阶段的诺西肽发酵过程非结构模型为基础，根据隐函数存在定理进行辅助变量的合理选择；然后利用经数学推导得到的指示变量"伪比生长率"完成发酵阶段的在线辨识，并采用神经网络构建出对应于各阶段的局部软测量模型。

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。