查询词典 metrically convex subset

Lilliputian frontier is a convex polygon with non-zero area.

小人国的边境为凸多边形性状（面积不为0 with non-zero area？？

Moreover, we obtain the upper and lower convex bounds of the limiting distribution in general case by introducing the concept of comonotonicity according to Dhaene et al.

并进一步考虑采用Dhaene等人所研究的Comonotonicity方法(上标 [4.5])，给出了现值函数极限分布的上、下凸界。

To solve the optimization problems, apply the DCA （difference of convex functions algori-thms） which is a general framework for nonconvex continuous optimization. This leads to a successive linear programming algorithm with finite convergence.

为解决优化问题，应用了突函数差异算法（difference of convex functions algorithms，DCA）这一进行非突连续优化的通用框架，致使连续线性规划算法有限收敛。

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。

Furthermore, the design problem of the suboptimal guaranteed cost controller is turned into a convex optimization problem with linear matrix inequalities constraints.

在此基础上，将次优保性能控制器设计问题转化为一组线性矩阵不等式约束下的凸优化问题。

The theory of self-concordant barriers developed by Nesterov and Nemirovski provides an algorithm with polynomial complexity applicable to linear and convex optimization problem.

由Nesterov和Nemirovskit创立的self-concordant障碍函数理论为解线性和凸优化问题提供了多项式时间内点算法。

Based on the proposed performance criterion, a sufficient condition for the existence of gain-scheduled H2/H(subscript ∞) filter is derived. Furthermore, the filter design problem is converted into a convex optimization problem with linear matrix inequality constraints.

基于该性能准则，推导了变增益H2/H滤波器存在的充分条件，并将滤波器设计问题转化为具有线性矩阵不等式约束的凸优化问题。

To reduce the conservatism in the estimation, the Schur complements of the matrixes are applied to transform the problem of selecting a suitable quadratic Lyapunov function into a simple convex optimization problem with linear matrix inequality constraints.

同时为了减少保守性，利用矩阵的Schur补性质，将如何选取该二次型Lyapunov函数的问题转化为标准的LMI凸优化问题。

Finally, for the following studies and in order to study the nonlinear problems in a widespread space, the relationship between the convexity and the smoothness is studied in the locally convex space.

最后，为了今后在更广泛的空间中研究非线性问题，我们讨论了局部凸空间中凸性与光滑性之间的关系。

Duality invariants theories are the core of functional analysis space theories, especially the core of locally convex space theories.

对偶不变性理论是泛函分析空间理论特别是局部凸空间理论的核心内容。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。