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Antoninus had not taken this care, but had contumeliously killed a brother of that centurion, whom also he daily threatened, yet retained in his bodyguard; which, as it turned out, was a rash thing to do, and proved the emperor's ruin.

他只需要留意不要严重地损害服侍他的人或者在他左右为国家辛劳的那些人，不要如同安托尼诺之所为--安托尼诺把一个"百人队"队长的兄弟凌辱备致地杀死了，以后每日还对这个"百人队"队长加以威胁，但是安托尼诺仍然继续让他担任自己的禁卫队长。正如事实所证明的，这是一种冒失的作法，而且招致自身殒灭。

Furthermore, without any assumption, the global convegence is proved.

在不需要任何假设的情况下，证明了算法的全局收敛性。

The optimal convergence rates in H-1 and L-2 norms are proved, and the convergence order in L-2 norm is one order higher than that in H-1 norm.

并分别给出了解的H-1模和L-2模的最优收敛阶估计， L-2模收敛阶比H-1模收敛阶高一阶。

The property in convergence of sequence of number was imported to convergence in probability and proved it in this paper.

摘要主要把数列收敛的一些性质引进到随机变量依概率收敛中来，并加以证明。

And its convergence property, asymptotically converges in probability, is proved. Numerical results on some typical optimization problems show that the algorithm proposed is efficient.

数值结果表明，对于维数较高的连续函数优化问题，采用基于均匀分布的进化策略能够快速有效地收敛到全局极小点。

On the basis of general Krawczyk-Hansen Operator, the interval iteration of the constrained functions are established; the interval extension of maximum entropy function is discussed; convergence is proved; region deletion rules are supplied and the algorithm of interval maximum entropy has been set up.

利用极大熵函数和罚函数将问题转化为无约束可微优化问题，借助广义Krawczyk-Hansen算子建立了约束函数的区间迭代；讨论了极大熵函数和罚函数的区间扩张，证明了收敛性等性质，给出了无解区域删除原则，建立了区间极大熵算法。

In order to get the numerical solution, the paper devises a three hierarchic implicit scheme which eliminates the strict restriction of explicit scheme, thus, it can be used in more areas. By using the energy estimation method, the convergence and stability of the difference scheme are proved and the scheme is second order convergence for time and space.

对求解方程构造了一个三层隐式差分格式，消除了显格式的稳定性对计算步长的严格限制，使之适用范围更广，并用能量估计的方法严格证明了差分格式的收敛性与稳定性，该格式对于时间和空间均具有二阶收敛性。

To ensure stability of the NNA, the convergence theorem of the NNA is presented and proved.

为保证该算法的稳定性，提出并证明了该算法的收敛定理。

In Chaper 4,we extendthe simple Newton's method to sovle our problems,the convergence theorem is proved.

在第四章，我们将简单Newton方法加以推广，用于求解取值在闭凸锥中的非线性包含问题，建立了一般的收敛性定理。

Some improved parameter estimation algorithms are presented , their convergent properties are proved by using the martingale convergence theorem .

围绕这两个方面给出了一些改进的参数估计算法，并用鞅的各种收敛理论对之进行了严格的数学证明。

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