首先，我们利用投影型插值，证明了一个强超逼近定理。
At first, we prove a theorem of finite element ultra-approximation.
文中基于性能势理论，证明了平均奖赏强化学习的逼近定理。
In this paper, the approximate theorem of average reward reinforcement learning is proven by means of the theory of performance potentials.
证明了相应的连续性定理 ，逼近定理 ，计算能力定理等。
The related continuity, function approximation ability and computational capability theorems are proved…
给出了粗糙神经网络的拓朴结构和学习算法以及粗糙神经网络的逼近定理。
The topologic structure and learning algorithm of the rough neural network are given, and the approximation theorem of the rough neural network is presented.
本文讨论可数模空间上全连续算子的有限维逼近定理及该空间的一些性质。
In this paper the properties and fixed point theorems of completely continuous maps on denumerable norm Spaces are studied.
随机序列随机极限对数似然比随机逼近定理随机选择二重马氏分布机控制序列。
Random sequence Random limit logarithmic likelihood ratio Random approximation theorem Random selection Two-order Markov distribution Stochastic dominated sequence.
作为应用，作者得到了几个涉及间断映象和两个不同拓扑矢量空间的最佳逼近定理和重合点定理。
As applications, several best approximation theorems and coincidence theorems involving discontinuous mappings and two different topological vector Spaces are obtained.
在各种负荷条件下得到了虚等待时间、队长等排队指标的强逼近定理，并给出了嵌入排队中诸指标的强逼近定理。
Under all workload conditions we obtained strong approximation theorems of virtul waiting time, queueing length and embeded queueing et.
在中心极限定理和逼近理论的基础上，提出了一种用三角滤波器的级联来实现高斯滤波器的新方法。
On the basis of the central limit theorem and approximation theory, a new implementation of the Gaussian filter by cascaded triangle filters is presented.
本文建立了具有正核的多维卷积算子逼近的量化定理。
In this paper, the quantitative theorems on the approximation by multidimensional convolution operators are established.
在一定的条件下，用黏性逼近法证明了序列逼近于这一公共元的强收敛定理。
It is shown that under suitable conditions by the viscosity approximation algorithms, some strong convergence theorems for approximating to this common elements are proved.
投影定理在平稳时间序列的预报及函数逼近研究中起着重要的作用。
Theorem of projection is more important in the study of prediction of stationary discrete-time sequence and function approximating.
在这篇文章中我们给出了多元逼近的定理一个新的证明。
In this paper a new proof of Tehebyeheff theorem in several variables has been given.
提出了小波函数和普通函数内积数值计算的外推加速算法，给出了外推加速算法的可行性保障定理。结果表明此算法的收敛速度较快， 得到的近似值的逼近效果较好。
In this paper, we give an extrapolation method for integral with wavelet. Theorem can ensure it is possibility. The result show that the method converge quickly, and the approach effect is very good.
本文在局部域的整数环上给出了一类逼近恒同核和关于它们的逼近阶估计的定理。
This paper gives a class of approximation identity operators on the integer domain of a local field, and a theorem on estimates of their approximation degree.
本文讨论了平均逼近，给出了四个定理，是对存在定理、特征定理，唯一性定理的补充。
This paper discusses average approximation and proposes four theorems which are the supplement for existence theorem, characteristic theorem and solitariness theorem.
获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。
In the inner product space, the existence theory of best approximation element was obtained and described.
也就是说我们只需研究其一维函数逼近能力，所得的结论完全适合于多维情形，该定理大大简化了前馈多层神经网络函数逼近问题的分析难度。
This theorem simplifies greatly the analysis of the function approximation ability of FFMLNN because one needs only to study the one dimensional function approximation ability of FFMLNN.
介绍了一种曲线拟合和函数逼近的对数校直法及对数校直定理。
A new method of fitting curves and approximating functions - "logarithm alignment method" and "logarithm alignment theorem" are introduced in this paper.
对于一类函数给出了Gauss -Weierstrass算子线性组合一致逼近的定理。
The author gave a reverse theorem of uniform approximation for the combination Gauss-Weierstrass operators on a class of functions.
本文证明了多维卷积算子逼近的逆定理。
This paper investigates the converse theorems for the multidimensional convolution operator approximation.
本文利用拓扑矢量空间中的连续线性泛函导入最佳逼近定义，给出了最佳逼近元的特征定理、存在性定理和唯一性定理。
In this paper the author introduces the definition of the best approximation in topological vector Spaces by use of continuous linear functionals.
利用光滑模和K -泛函给出了一类多元三角多项式算子同时逼近的正逆定理。
Using the modulus of smoothness and K-functional, direct and inverse theorems of simultaneous approximation for a kind of multivariate trigonometric polynomial operators are established.
利用光滑模和K -泛函给出了一类多元三角多项式算子同时逼近的正逆定理。
Using the modulus of smoothness and K-functional, direct and inverse theorems of simultaneous approximation for a kind of multivariate trigonometric polynomial operators are established.
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