逼近

In section 2, we prove the approximate controllability of the linearized system by means of a cost function.

第二节我们用传统的变分方法证明了系统(1.1)线性化以后的逼近能控性。

Artificial neural networks has been widely used in pattern recognition, signal and information processing, adaptive controlment, and many other fields because of its self-organize ability, self-adapt ability, robustness and fault tolerance, and which are coming from its parallel processing structure and distribute information storage. But at the same time, they also bring some problems such as the difficulty of getting optimized topology structure and the great training time-consuming, which restrict its reality use.

人工神经网络的并行处理结构和分布式信息存储带来的自组织性、自适应性、鲁棒性和容错性，使得它们在实际应用中已表现出了强大的生命力，成为当今研究的热点之一，已经广泛的应用于模式识别、信号与信息处理、函数逼近、系统辨识和自适应控制的诸多领域，但同时带来了的最优拓扑结构难以确定，训练耗时巨大的问题，也限制了神经网络在实际中的应用。

Experiments show that this method can converge to target contour fast and exactly,and is robust to noise.

实验结果表明，该方法能够快速、准确地逼近到目标边界，并具有较强的抗噪性。

Through some analysis, we found that for GMRES too, changes in convergence behavior seem to be related to the convergence of Ritz value.

通过分析，我们发现GMRES的加速收敛与其斜投影过程中产生的Ritz值对特征值的逼近程度有关系。

Properties of measurable functions; approximation by simple functions and by continuous functions; convergence in measure; Egoroff's theorem; Lusin's theorem; Jensen's inequality.

可测函数。可测函数的性质；简单和连续函数逼近；测度收敛；叶果洛夫定理；鲁津定理；詹森不等式

The theory foundation of the method is given, which proves that the expectation and variance are uniformly convergent in measure space, and the orthogonal function series used to approach the sensitivity function is uniformly convergent.

文中描述了目标机动对命中误差灵敏度的拟合正交函数系及其一致收敛性，并用测度理论证明了小样本方法估算期望和方差的逼近的一致收敛性质。

A series convergent to any given number could be derived with this method.

通过反复地使用这个算法，可以非常容易地求得被逼近实数的一系列渐近分数。

A method of building the fuzzy model with constant-value consequence for MIMO complex processes is presented by means of the iterative learning algorithm of fuzzy model consequent parameters, and the convergence of the iterative learning algorithm is proved according to the convergent theorem of bounded positive-term series, moreover, the effectiveness of the presented fuzzy modeling method is also demonstrated by a simulation example.

深入讨论了常值后件模糊规则模型与映射的关系，并证明这种模糊模型所表示的模糊系统具有在紧集上逼近任意实值连续函数到任意精度的能力，为将这种模糊模型用于复杂过程的建模和控制作了一些理论准备。

Then as the applications of the general results, the convergent properties of a k...

作为本文一般性结果的应用，得到了求解多目标minimax问题的一种有效的逼近方法：极大熵方法的收敛性质。

Keywords Closed convex cone;gradient projection method;Least-squares solution;Inverse matrix problem;Inverse eigenvalue problem;Matrix completion problem;Optimal approximation

Article From 湖南大学；应用数学博士论文 2005年度闭凸锥；投影梯度法；最小二乘解；矩阵反问题；矩阵逆特征值问题；矩阵完全化；最佳逼近

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。