查询词典 locally analytic function

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the fi-perturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

Suppose that f is a real-valued ω〓-lower semicontinuous function defined on a ω〓closed bounded subset A〓 of the dual E〓 of a locally convex space E, which is bounded below on A〓, and suppose every ω〓 closed convex subset of C〓≡ω〓-clcoA〓 is the ω〓closed convex hull of its w〓-β-exposed points.

假设X是一个局部凸空间，X〓是其对偶。A〓是X〓上的ω〓有界闭子集，f是A〓上的ω〓-下半连续实值函数且在A〓上下有界。

Aiming at the problems of over-fitting and generalization for neural networks, the locally most entropic colored Gaussian joint input-output probability density function estimate is studied, and a new method by means of Chebyshev inequality is proposed to self-revise respectively according to every cluster.

针对神经网络的过拟合和泛化能力差的问题，研究了样本数据的输入输出混合概率密度函数的局部最大熵密度估计，提出了运用Chebyshev不等式的样本参数按类分批自校正方法，以此估计拉伸样本集，得到新的随机扩充训练集。

In terms of the positivity, compact support and normalization of B-spline basic function, the adjustment of the weights are accomplished locally and the output is simple. The results of the experiments show that the structure of the B-spline neurofuzzy-networks is clear and the training is more speedily than that of BP network.

在对刀具磨损状态进行监测过程中可以看出，B样条模糊神经网络内部的连接结构透明，可以很方便的根据实际需要调节网络结构，进行网络的优化来得到更加理想的诊断结果，同时证明了B样条模糊神经网络的训练速度优于BP网络。

The research shows that gas concentration shows generally an increasing tendency along the working face airflow direction, from 0.095% to 0.18%, under the effect of gas drainage points, up-and-down changing locally; gas distribution in a transect of working face is unequal, under the effect of gas emission, ventilation and drainage, the gas concentration near coal wall is larger than that near goaf, which is a concave function distribution within a distance of 1876.5 m from the inlet of working face, after greater than 76.5m, which is a decreasing distribution from coal wall to goaf.

研究表明，该工作面瓦斯体积分数沿风流方向总体呈逐渐增加趋势，介于0.095%~0.18%之间，受瓦斯抽放点的影响，局部有起伏变化；工作面横断面瓦斯体积分数分布不均匀，受瓦斯涌出、通风和抽放的影响，靠近煤壁侧瓦斯体积分数要高于采空区侧，在距离进风口约18~76.5 m范围内为凹函数分布，大于76.5 m之后，从煤壁至采空区为单调下降函数分布。

Since the B-spline is a locally supported function, the smoothing formula can be strictly limited in a neighborhood of each point. The smoothing surface defined by the smoothing formula has the same convexity as that of the original image. Secondly, the edge points are detected by either computing the local extremum points of the directional derivative or computing zero-crossing of the second-order directional derivative of the smoothing surface. Finally, an example of an edge detector is given.

针对反卷积视觉模型的病态性，增加了适当的约束，给出了基于低松弛迭代格式的快速自适应滤波算法，对于一个N×N输入图象，由于变换核的局部支撑性质以及低松弛迭代格式的引入，使得快速自适应滤波算法的计算复杂度降为象素个数N〓的线性量阶N〓，就最小二乘算法的复杂性而言，优于不动点迭代算法的O以及基于FFT的预处理共轭梯度算法的O。

A sufficient and necessary condition for nonlinear continuous time associate memory neural networks to be locally exponentially stable is obtained, and a function is defined for characterizing the domain of attraction of equilibrium point.

讨论非线性连续联想记忆神经网络平衡点局部指数稳定的判定条件及平衡点指数吸引域的估计，得到了平衡点局部指数稳定的充要条件，并引入一个特征函数，可以判定平衡点的邻域是否为指数吸引域。

Applying the convexification of nonconvex function and the theorem in Chapter 2, we establish the perturbed optimization in the bounded subsets of the dual of locally convex spaces

运用非凸函数凸化的方法以及第二章给出的命题，在局部凸空间的对偶空间的有界子集上建立相应的的扰动优化和变分原理

When the value of critical threshold larger than 1, the disease and insect pests equilibrium point is locally asymptotically stable An appropriate Dulac function should be choosed and Bendixson-Dulac creterion is used to prove that the limit cycle in this model does not exist. It explains that the disease and insect pests equilibrium point is globally asymptotically stable.

选取适当的Dulac函数，利用Bendixson-Dulac判别法证明了极限环的不存在性，说明局部渐近稳定的病虫害平衡点也全局渐近稳定。

It shows that the derivative of finite discrete function is locally a pproximate to the one under continuous case.

通过引入最佳平均逼近直线，分别从几何直观和极限情形两个角度，研究了有限离散函数的导数概念的表现。

You can buy sweetened beverages, if that suits you.

你若喜欢的话，可以买些含有糖精的混合饮料。

As many of you are probably aware, Nick and Vanessa were recently faced with an embarrasing sex scandal after naked pictures of the two getting jiggy with it in a hot tub surfaced the net.

正如很多你可能知道，尼克和 Vanessa 最近面临一个尴尬的绯闻事件后，赤裸裸的图片两个越来越jiggy与它在浴缸中的一个热点浮现净。