A convergence theorem is proved.
的收敛性定理的证明。
A convergence theorem for the sequence of arbitrary random variables is obtained.
得到了任意随机变量序列的收敛性定理。
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 this paper, an abstract algorithm is presented, and a proof of a convergence theorem is given.
本文提出了一个抽象算法，并证明了收敛性定理。
On the other hand, we obtain the strong convergence theorem under a condition weaker than "c is compactness".
另一方面，在附加了弱于“C是紧集”的条件下，得到了强收敛结果。
To overcome the nonlinear effects, the discrete learning control strategy is presented. The convergence theorem is also given.
针对多指手爪的非线性影响，提出了一种位置离散学习控制方法，并给出了这种方法的收敛性定理。
The Problem of Credit Assignment. Perceptron Learning Rule. Convergence Theorem. Learning by Gradient Following. Online learning.
原因探究、感应机学习规则、收敛定理。梯度跟随学习法、线上学习。
This paper gives the form and some properties of the exact penalty function, convergence theorem of the algorithm and numerical examples.
作者提出了精确罚函数的构造，讨论了它的性质，证明了算法的收敛性，并给出了数值计算实例。
In the end, the adaptive prediction algorithm is proved to be globally convergent by using the extended form of Martingales Convergence Theorem.
最后用鞅收敛定理的推广形式证明了这一自适应预测算法的全局收敛性。
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。
Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.
由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。
It is described about the teaching on contrast of control convergence theorem. The authors point out its advantages and attention to enhance teaching effectiveness.
对于采用对比法讲授控制收敛定理进行了说明，指出其优点与注意事项，以增强教学效果。
Traverses the BP arithmetic to solve non-linear equations in one variable, presents and proves the convergence theorem of the arithmetic, shows the application example.
遍历BP算法来解决非线性方程的一个变量，提出并证明了该算法的收敛性定理，给出了应用示例。
Especially, we give a calculation method for higher order singular integral by equation (3.1) when the wavelet function is unknown. At last, we create a convergence theorem.
特别是当小波函数未知时，借助于方程(3.1)，对高阶奇异积分作数值计算，建立了收敛性定理。
A convergence theorem of the transforms is proved, and then, as an application of it, the pointwise convergence of complex measure martingales is discussed in a precise way.
并且，作为该定理的一个应用，对复测度鞅的点态收敛性作了较精细的讨论。
This paper traverses the BP arithmetic to solve non-linear system in one variable, presents and proves the convergence theorem of the arithmetic, shows the application example.
详细研究了一种一元非线性系统的BP算法，提出并证明了该算法的收敛性定理，给出了该算法的应用实例。
In this paper, a new convergence theorem and error estimates for two types of generalized method are obtained by means of cubic major function, under the unified determination.
该文在统一判定条件下，借助于三次优函数，给出了两类一般迭代法的不同于以前的收敛性和误差估。
In the present note we propose to deduce this result directly from the dominated convergence theorem of stochastic integrals, so our proof is much simpler than the original one.
本文用随机积分的控制收效定理直接推出了这一结果，从而大大简化了原证明。
In this paper, we introduce the martingale convergence theorem and martingale hyperconvergence theorem for analyzing performances of identification methods and states their application ranges.
介绍了用于辨识方法性能研究的鞅收敛定理和鞅超收敛定理，阐述了其应用范围；
We obtain a convergence theorem of alternative series differing from Leibniz test by discussing and analyzing the convergence of a kind of alternative series, and generalize the using limits of J.
讨论和分析了一类交错级数的收敛问题，给出了异于莱布尼兹判别法的关于交错级数的一个收敛定理。
In this paper we prove a convergence theorem of the proximate point algorithm for minimization of DC function, and propose a kind of inexact proximate point algorithm for the minimization problem.
本文证明DC函数最小化问题邻近点算法的一个收敛性定理，并对此问题提出一类非精确邻近点算法。
The other is the Indifference Principle of Trial Setup, with which the Theorem of Opinions' Convergence in the subjective probability theory is justified.
二是“试验机制无差别原则”，用以为主观主义概率归纳逻辑的意见收敛定理进行辩护。
In deriving the integral equation, the convergence of series is modified by application of the plane Gauss Theorem.
在建立积分方程时，运用平面高斯定理改善了级数的收敛性。
In this paper, we investigate the fluctuation limit of a series of fractional Brownian motions, and prove the large number law and the central limit theorem in generalized convergence.
研究了一列分式布朗运动的起伏极限，证明了广义收敛意义下的大数定律和中心极限定理。
The paper gives the quadrature's precision and complete convergence general theorem, which is about the i.
绝对连续随机变量列的记录次数的计数过程的矩精确完全收敛性的一般化定理。
We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.
通过巧妙地构造辅助数列，应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理。
In this paper, we prove a theorem on the convergence of the gradient of K-S function to the subdifferential of corresponding maximum function.
本文证明了一条关于K - S函数的梯度收敛于相应的极大值由数的次微分的定理。
In order to get the convergence properties of the weak set-valued Amart, we firstly proved the theorem that the limit of support functions is a support function.
为了得到关于弱集值渐近鞅的收敛性质，首先证明了支撑函数列的极限亦为一支撑函数。
In order to get the convergence properties of the weak set-valued Amart, we firstly proved the theorem that the limit of support functions is a support function.
为了得到关于弱集值渐近鞅的收敛性质，首先证明了支撑函数列的极限亦为一支撑函数。
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