查询词典 monotone nonincreasing function

The main contents of the dissertation are itemized as follows:(1) Proposing a new kind of interestingness measure of correlation named All-item-confidence. This measure has perfect characters for measuring item-item correlation of pattern, for example: the proper upper and lower bounds, a good anti-monotone and so on.

本文的主要研究工作包括以下几个方面：(1)提出了一种新的相关性兴趣度景All-item-confidence，研究了该度量所具有的性质，如：合适的上下界，模式中任意一项的发生均可提高其余项发生的可能性，良好的反单调性等。

Inverse variational inequality, monotone mapping, proximal point algorithm

逆变分不等式，单调映射，临近点算法

The properties of the max-plus algebra and the partial order, including monotone, invertibility and so on, were used to develop the computing approach to the MIM problem.

利用这个极大代数系统及其偏序关系的单调性、可逆性等性质，提出了一种HTEG最小初始标志的计算方法。

The domain decomposition method of Jacobi type for the quasivariational inequality system is proposed and the corresponding monotone convergence theory is established.

然后提出了上述拟变分不等式组的Jacobi型区域分解法，并建立相应的收敛性理论。

We introduce the iterative method of Jacobi type to solve the discrete problem of the quasivariational inequality system. A new proof for the monotone convergence of the iterative method is given under appropriate conditions.

我们首先介绍求解Hamilton-Jacobi-Bellman方程的近似拟变分不等式组离散问题的一类Jacobi型迭代算法，在一定假设条件下，对这类算法的单调收敛性给出了一个新的证明。

The new method has monotone consistency, convex consistency, linear transformation consistency, gradually approaching white exponential law coincidence property and linear convergence rate.

结果表明，这一方法不仅保持了原方法的升凹一致性、线性变换一致性，而且具有渐近白指数律重合性和线性收敛速度。

In elliptic case,the compactness of"convex polyhedrons"is destinedto be true because of the"local Lipschitz continuity of convex functions",whilein parabolic case,we cannot expect convex-monotone functions have such goodproperties as convex functions.

在广义解存在性的证明中，参考椭圆情形由"凸多面体"逼近的思想，我们采用了由一种特殊构造的"凸单调多面体"逼近的途径，但在证明这种凸单调多面体族的紧性时，我们遇到了困难。

The local and global convergence properties of non- monotone adaptive trust region method are proved under favorable conditions.

在适当的条件下证明了非单调自适应信赖域法的局部及全局收敛性质。

The central problem associated with the maximal monotone operator is finding zeros of it.

求解极大单调算子的零点是极大单调算子理论的核心问题之一。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济。。。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。