查询词典 converges

In Part two, it is proved that, the evolution strategy of uniform distribution for continuous functions, asymptotically converges to the global optimal solutions in probability, by using central limit theorem, under suitable conditions. Then a new kind of evolution strategies is proposed.

第二部分，针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的进化策略是依概率收敛的，然后给出了采用一般连续型随机变量作为变异算子的进化策略依概率收敛的证明。

As soon as the leader has given the order to clear the decks for action, all disorderly movements cease; there is no more pulling from one another; there are no more coteries; no more asides, there is no more holding aloof; everything in their spirits converges in, and changes into, a waiting for the assailants.

当首领发出了准备战斗的口令以后，一切杂乱的行动顿时终止了。

To solve the third problem, the definition of T-revision function and RT-computation model are proposed, and it is proved that with the increase of revision time, T-revision function converges to revision function and T-revision function is computable.

作为对第3个问题的解决，作者提出了T-修正函数的定义和RT-计算模型，证明了随修正时间的增长，T-修正函数逼近修正函数，且T-修正函数是可计算的。

To solve the third problem, we present the definition of T-revision function and RT-computation model, prove that T-revision function converges to revision function with the increase of revision time and Trevision function is computable.

作为对第3个问题的解决，作者提出了T－修正函数的定义和RT－计算模型，证明了随修正时间的增长，T－修正函数逼近修正函数，且T－修正函数是可计算的。

Simulations show that when the signal to noise ratio is greater than 0dB, the inverse model algorithm converges rapidly and stably with computational error being within a minimal bound.

仿真结果表明在信噪比大于0dB时，该自适应逆模型算法收敛迅速、稳定，计算误差保持在较小的范围之内。

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

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。

Theorem 1 If the power series is convergent at ,then for any that ,the power series absolutely converges at point ;if the power series is divergent at ,then for any that ,the power series diverges at point .

定理1 如果级数当时收敛，则适当不等式的一切使这幂级数绝对收敛；反之，如果级数当时发散，则适合不等式的一切使这幂级数发散。

Theorem 4(Relation of a Convergent Sequence between its Subsequence) If the sequence converges to ,then any of its subsequence is also convergent, and the limit is also .

定理4(收敛数列与其子数列间的关系)如果数列收敛于，那么它的任一子数列也收敛，且极限也是。

Rearrange infinite terms of a convergent sequence, the new sequence still converges, and my lovely Darboux Sum: http://en.wikipedia.org/wiki/Darboux_sum

可惜下一届的数学系同学们听不到老黄严谨的阐述数列改变无限项的顺序不影响它的收敛，以及可爱的达布和了。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。