查询词典 converges

Theorem 8 If the series converges absolutely, the series must be convergent.

定理8 如果级数绝对收敛，则级数必定收敛。

If the topology is fixed and time-invariant, the consensus value of discrete-time systems also globally asymptotically converges to the convex combination of initial states, which is identical to continuous systems.

如果多智能体网络系统的拓扑结构没有改变，在离散状态下系统的一致平衡点仍收敛于初始状态的凸组合，并且离散状态下系统的一致平衡点与连续状态下系统的一致平衡点相等。

Second, we prove that consensus value of continuous time-invariant systems converges globally asymptotically to the convex combination of initial states, thus, determining the consensus value of the non-balanced topology.

对于多智能体网络连续系统，该系统的一致平衡点最终收敛于初始状态的凸组合，本文最终确定了非平衡拓扑结构的一致平衡点。

A Lipschitz strictly pseudocontractive map from a nonempty closed convex subset of a Hilbert space into itself was showed to have fixed points, Ishikawa and Mann iterative sequences with errors of a Lipschitz strictly pseudocontractive map was introduced and the iteration processes strongly converges to a fixed point was proved.

证明了在Hilbert空间中的非空闭凸集上Lipschitz严格伪压缩映象有不动点，介绍了Lips-chitz严格伪压缩映像下的的具误差的 Ishikawa和Mann迭代序列并证明了其强收敛性于不动点，其结果把非扩张映像推广到Lipschitz严格伪压缩映象上，改进了一些相关结果。

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

Using the directional derivative formula, the governing equation is discreted in the physical domain in which a nonorthogonal grid system is used. Two kinds of AF2 schemes, i. e. AF2-plane relaxation and full implicit AF2, for the TSD equation are proposed. Numerical results show that the full implicit AF2 scheme converges faster than AF2plane relaxation scheme. For the rectangular wing and swept wing, the results of the present method are compared with FP results, and the agreement is good.

采用适合于梯形机翼和后掠机翼的斜网格，利用方向导数公式直接在物理空间对主管方程进行离散；将近似因式分解方法应用于绕机翼的跨音速小扰动势流问题，提出AF2—面松弛和AF2全隐式两种迭代格式，并对它们的收敛速度进行比较，结果表明后者明显快于前者；直机翼和后掠机翼的算例表明，本文方法的结果与精确势流方法的结果吻合良好。

Finally, the algorithm is validated by an investment example. And the experiment results indicate that our algorithm has better searching ability and can avoid the occurring of earliness effectively. Compared with the traditional GA algorithms, our method converges faster and has better solving precision. To investors, it's a better tool for decision-making.

实验结果表明本文算法不仅具有较强的搜索能力，而且避免了早熟现象的发生，相比于传统的遗传算法具有更高的求解精度和更快的收敛速度，可以为投资者提供更好的决策参考。

In blastula embryos and 50% epiboly embryos, the zygotic pou2 transcript is also distributed in every blastomere cell. At the stage of 90% epiboly, expression of pou2 converges to the dorsal midline of embryos and locates in two waves of lateral neural plate and two transverse stripes in the brain region. In embryos at 100% epiboly, pou2 transcript is restricted in the neural plate and areas of presumptive midbrain amid himdbrain. From somite stage, gibel carp pou2 can not be detected any more, which is consistent with the RT-PCR result.

在高囊胚期和50%下包期，高度表达的合子转录本仍在所有的胚盘细胞中，但至90%下包期时，pou2的表达向胚胎背部的正中线汇聚，集中在神经板的两侧区域和脑部的两条横向条带在100%下包期时，pou2的表达集中在神经板的中间区域以及预期形成的中后脑区域至体节期时，转录本消失，这与RT-PCR结果高度一致。

In this paper, the author proves that the generalized Newton's method for finding me roots of an algebraic equation converges to the root, real or complex , nearest to the starting point. A tabulation method is then devised and used in four illustrative examples.

在本文内，作者首先证明了求代数方程根的推广牛顿法收敛于离出发点最近的一个根，其次设计了一种简单的列表计算法，最后通过四个例题说明用这种方法可以逐步接近代数方程的实根或复根。

Finally, we get a necessary condition under which the distance between a feasible sequence and the KT point set converges to zero.

最后，还给出了可行解点列至KT点集的距离趋于零的必要条件。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。