逼近

The major subjects in the approximation of operators are to study the convergent property of a sequence of linear operators, the quantization of its convergence rate and the saturation results in the theory of approximations.

算子逼近论主要是研究线性算子列的收敛性质，收敛速度的量化以及逼近论中的饱和现象。

In this paper we discuss the optimal approximation of matrices and its numerical algorithm on some closed convex cone .

讨论矩阵在闭凸锥上的最佳逼近及其数值算法，在对称半正定矩阵集上，给出了最佳逼近数值算法的MATLAB程序和数值例子。

The method based upon semi-infinite slopes is intended to approximate the prescribed transfer function. In order to minimize the error function, the least square method is adopted. The method of correction with term by term is used to avoid the divergent difficulties in iterative design.

本文提出以折线法来构造网络的逼近函数，并利用最小二乘法和逐项修正法相结合的办法来达到最优逼近，然后依据网络综合的理论，用RC网络的综合步骤来计算出实际元件值。

Main feature of this paper to use cubic Hermite function, for obtain the closed value and convenient of calculation , choose cubic spline function when the differential coefficient of calculating, two methods make good result of approaching to combine together.

本文的主要特色是引入三次埃尔米特函数，为了使求值结果更为逼近和计算简便性，在求解的过程中又选择了三次样条函数，两种插值方法相结合使得到的结果更为逼近真实值。

This paper presents an improved variable stepsize BP learning algorithm by making use of the concept of model approximation degree and by taking advantages of the merits of simulated annealing method.

基于模型逼近度和接受概率的一个变步长快速BP学习算法叶东毅（福州大学计算机科学系福州350002）摘要本文给出模型逼近度的概念。

We get to the conclusion that the function set of DCRBFN is dense in a varible-decomposable function set. The result shows that DCRBFN has excellent approximation ability.

DCRBFN系统的逼近能力分析，我们得到DCRBFN的函数集在变量可分离函数集中稠密的结果，因此DCRBFN具有良好的逼近能力。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。

The advice on selecting weight function and its parameter in MLS method is presented by analyzing the influence of weight function curve on the precision of computational result on the basis of energy norm proposed.

通过建立误差的能量范数，对照分析了权函数曲线的分布规律对逼近结果的精度影响，得到了在移动最小二乘法逼近中选择权函数及其相关参数的建议。

College of Guandong Business, Guanzhou 510320, China）Abstract: Since large-scale vertical quench furnace is voluminous, whose working condition is a typically complex process with distributed parameter, nonlinear, multi-inputs/multi-outputs, close coupled variables, etc, dynamically decoupling control algorithm of temperature distributed parameter system in the furnace was presented, by which the whole system was decoupled to several subsystems and the implementation of controller was simplified. With finite difference approximation, the space and time step size was solved to ensure the convergency of finite difference approximation. After decoupling, the subsystems were controlled with self-learning PID control algorithm. The results show that the temperature control precision and homogeneity are improved; the overshoot and process in temperature rising period are reduced simultaneity.

摘 要：针对大型立式淬火炉体积庞大，工况复杂，炉内温度分布呈本征非均匀性，具有多输入/多输出、非线性、强耦合等特性，难以实现炉内温度高精度高均匀性控制目标等问题，提出一种温度分布参数系统动态解耦控制算法，其原理是：采用有限维逼近方法将对象解耦为多个独立的子系统，简化控制器的实现过程；通过分析有限维逼近方法的收敛性，获得保证收敛性的空间和时间步长应满足的条件；解耦后的子系统采用自学习PID控制算法，实现炉内温度高精度和高均匀性控制以及升温过程的快速性和小超调。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。