查询词典 monotone sequence

We get the two edge blocking convergencetheorem of sequence of fuzzy numbers and the almost everywhere cut-convergence theorem ofmonotone bounded sequence of fuzzy numbers, and point out that monotone bounded sequenceof fuzzy numbers may not cut-converges and converges.

讨论了模糊数列的收敛、截收敛、几乎处处截收敛性，得到了模糊数列收敛的夹逼定理及单调序有界模糊数列必几乎处处截收敛定理，并指出了单调序有界模糊数列未必截收敛、收敛。

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。

With the cone theory and monotone iterative technique,the existence and uniqueness of the solution for the ordering symmetric contraction mixed monotone operator equations are studied,and the error estimations for the convergent iterative sequence are also given.

摘 要 利用锥理论和单调迭代技巧，研究序对称压缩的混合单调算子方程解的存在唯一性，并给出迭代序列收敛于解的误差估计。

In this paper, the convergent conditions in sequence or parallel update mode and the sufficient condition with only one global stable state for Hopfield network model with discrete time and continuous states when its neurons' activation function is non-decreasing (not being strictly monotone increasing) are discussed.

主要讨论离散时间连续状态的Hopfield网络模型中当神经元的激活函数为单调增函数时，并行和串行收敛的充分条件以及具有全局惟一稳定点的充分条件。

A new definition and a new iterative scheme are introduced and the result that the iterative sequence is strongly convergent to common zero point s of maximal monotone operators Ai(i=1,2,…,m) is obtained by using the techniques of Lyapunov functional and generalized projection operator,etc.

将引进一个新定义、给出一种新迭代算法，并利用Lyapunov泛函与广义投影算子等技巧，证明迭代序列强收敛于Ai的公共零点，i=1，2，…，m。

If the Landweber method and pre-iteration method were convergent, the residue sequence would be monotone decreasing. By analyzing the convergence, the fact is demonstrated that for the severe ill-conditioned matrix of sensitivity coefficient, because of the limitation of the precision of the computer, the residue sequence is not monotone decreasing; thereby the reconstruction images diverge from the true distribution of the conductivity. So the generalized inverse method with threshold is established and the selection way of the regularization parameter is presented, by which the better images are reconstructed.

Landweber法和预迭代法收敛，则其残差序列单调递减，通过对它们的收敛性进行分析，证实对于病态性严重的灵敏度系数矩阵，由于受计算精度的限制，迭代过程中的残差序列不再单调递减，从而导致重建图象偏离实际电导率分布，因此作者建立了带阈值的广义逆算法，提出了规则化参数选择方法，获得了较好的图象重建质量。

This paper considers existence of extreme solutions to first-order differential equations with a parameter by the method of lower and upper solutions with monotone iterations,and monotonic sequence is uniformly converged to the extreme value solution of nonlinear equation after being constructed.

文章利用上下解方法和单调迭代技术讨论了含有一个参数的微分问题极值解的存在性，通过构造单调序列使这个单调序列一致收敛于非线性方程的极值解。

With four continuity of non-additive set function and the relation of four convergences of the measurable function sequence,four forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are discussed,respectively.

在经典测度论中，Lebesgue定理刻画了实值可测函数序列几乎处处收敛和依测度收敛之间的关系。1984~1986年，王震源[9]先后提出了较弱的"自连续"、"零可加"、"伪自连续"、"伪零可加"等重要概念，讨论了模糊测度空间上单值可测函数序列各种收敛之间的关系，推广了经典测度论中著名的Lebesgue定理以及其他定理。

The grey model GM(1,1) is applicative to the prediction of a monotone sequence.

灰色模型GM(1，1)适合用於单一指数变化率的数列估测。

The approach first chooses three continuous data points in turn when the data points in time series are scanned. According to the angle formed by these three data and the extreme value in monotone sequence, the method then records key points reflecting the sequences changing feature.

该算法在扫描数据的过程中利用单调序列中三个连续数据形成的夹角和非单调序列中的极值点，从序列中挑选反映趋势变化的关键点，实现时间序列的线性拟合。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。