收敛区间

Consistency of change-point estimator is proved and its rate of convergence is established under weak assumptions. To construct confidence interval, the limiting distribution of change-point estimator is obtained.

在较弱的条件下证明了变点估计的一致性，并得到了佑计的收敛率；为构造变点的置信区间给出了变点的极限分布。

EFM is not only AP, but second order convergentuniformly with respect to the mean free path in the whole domain.

其中指数拟合法不仅仅是渐近保持的，而且可以证明它在整个计算区间上有对平均自由程一致的二阶收敛性。

Give out the distinguish theorem of multiple root based on maximum value.

根据导函数的极值分析实根的分布情况、迭代区间和迭代初值，利用三次收敛的迭代方法求解方程的实根，给出了根据极值的重根判别定理。

In order to determine the convergence of the line samplingbased reliability sensitivity method,the variance and the variation coefficient were derived for the reliability sensitivity estimation based on the line sampling.

为判别线抽样可靠性灵敏度分析的收敛性，推导了线抽样可靠性灵敏度估计量的方差和变异系数的计算公式，近似计算了线抽样可靠性灵敏度在给定置信度下的置信区间。

In order to determine the convergence of the line sampling -based reliability sensitivity method,the variance and the variation coefficient were derived for the reliability sensitivity estimation based on the line sampling .

为判别线抽样可靠性灵敏度分析的收敛性，推导了线抽样可靠性灵敏度估计量的方差和变异系数的计算公式，近似计算了线抽样可靠性灵敏度在给定置信度下的置信区间。

In order to compare the convergence of the importance sampling based reliability sensitivity analysis and Monte Carlo based reliability sensitivity analysis, the variance and variation coefficient of the reliability sensitivity assessment are derived in this contribution.

为了比较重要抽样与直接Monte Carlo方法在分析可靠性灵敏度时的收敛性，推导可靠性灵敏度估计量方差和变异系数的计算公式，近似计算重要抽样可靠性灵敏度估计量在给定置信度下的置信区间。

When the initial states are random and the reference trajectory is iteration-varying, the new AILC can achieve the pointwise convergence over a finite time interval asymptotically along the iterative learning axis.

在随机初始状态和参考轨迹迭代变化的条件下，所提出的 AILC 仍可沿迭代学习轴渐近地实现有限时间区间上的逐点收敛性。

Chaos perturbation is used to improve selection strategy to avoid precocity and stagnation.

在基本蚁群算法的概率转移中引入混沌扰动的策略，以使解易于跳出局部极值区间，加快收敛速度。

After studying the results of the SOR method, we obtain the interval of the relaxation parameter in which subproper SOR iteration matrix has no complex eigenvalues and the C-SOR method converge.

在此区间内， SOR 迭代矩阵无复特征值，并且 C-SOR 方法收敛。

Stochastic convex programming; Monte Carlo methods; Financial optimization; Convergence with probability one; Optimality condition; Monte Carlo penalty function methods; Nonsmooth optimization; Directional derivative; Subdifferential; Confident interval; Conditional Value-at-Risk; Optimal reinsurance

基础科学，数学，运筹学随机凸规划； Monte Carlo方法；金融优化；以概率1收敛；最优性条件； Monte Carlo罚函数法；非光滑优化；方向导数；次微分；置信区间；条件风险价值；最优再保险

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失