查询词典 monotone function

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。

These results include several sufficient conditions for the global exponential stability of general neural networks with time-varying delays and without monotone, bounded, or continuously differentiable activation function.

不同于已有文献用Liapunov函数或泛函法研究稳定性问题时，将时滞项作为干扰处理的方法，给出了利用时滞项让系统稳定的结果。

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。

To regard definite integral inequality as numerical value inequality,and use the monotone of function.

我们应当吸取不同时期因脱离群众而导致的曲折和深

Considering that the modular function of fractional Fourier transform of LFM signal is symmetrical, unilateral and strictly monotone, this method employs global-first-local-second search algorithm to obtain the main ridge slice of LFM signals.

该方法利用LFM信号的分数傅立叶变换模函数具有对称性，且单边单调的性质，采用先全局后局部方式搜索LFM信号主脊切面。

Considering that the modular function of fractional Fourier transform of LEM signal is symmetrical, unilateral and strictly monotone, this method employs global-first-local-second search algorithm to obtain the main ridge slice of LEM signals.

该方法利用LFM信号的分数傅立叶变换模函数具有对称性，且单边单调的性质，采用先全局后局部方式搜索LFM信号主脊切面。

In this paper, we generalized the reverse Shebyshev inequality and obtained the integral inequality of two vector function s, whose monotone of correspondence elements is reverse.

推广了反向Chebyshev不等式，得到了对应分量的单调性相反的连续向量函数的积分不等式和模的单调性相反的连续向量函数的积分不等式。

In this paper, the validity of sequential uniform design for monotone function by rate jump was point out.

本文进一步证明了"二维序贯均匀等距设计"对跳比单调函数类的有效性。

Sufficient conditions for existence of positive periodic solutions of these systems are established and we investigate a stochastic Lotka-Volterra ecosystem, by use of the mixed quasi-monotone theory and Liapunov function method, some new results are obtained.

最后，我们研究了n种群随机Lotka-Volterra生态模型，利用混合单调流理论和It〓型随机微分方程知识，得到了其解过程的均方渐近稳定性和强生态稳定性的结果。

The properties of these models are obtained by studing the decreased dimension models by Liapunov function, matrix theory, monotone dynamics theory, Krasnoselskii technique and so on.

通过研究低维系统，我们就可以得到原系统的性态。在对模型的分析中，运用了构造Liapunov函数法、矩阵理论、单调动力系统理论、Krasnoselskii方法等。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"