空间性

However, there are still some shortages for GA, such as searching algorithms in solution space, convergence of solutions and selection of controls parameters.

然而在应用中发现，遗传算法尚存在诸多不足有待完善，如：解空间搜索策略，问题收敛性，控制参数设置等，这也是它之所以长期成为国内外计算智能研究热点。。。

Industrial structure ; evolving path ;σconvergence ; space gather

产业结构；演变轨迹；σ-收敛性；空间集聚

In the third chapter, we study the approximation and weighted approximation for a kind of generalized Baskakov operators of two-variable. Using different weight functions, we discuss the convergence on weighted space of polynomials and rate of convergence with Jacobi weight for this kind of two-dimensional product-type operators, which extends the results of one-dimensional operators.

第三章研究一类二元广义Baskakov算子的逼近及其加权逼近，主要针对于不同的权函数讨论了这类乘积型的二元算子及其导数在多项式权空间上的收敛性和加Jacobi权的收敛阶，把一元的结果推广到多元的情形。

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。

At present, the discussions of various convexity properties in spaces have already been perfected.

目前，有关空间各种凸性的讨论已趋于完善。1936年，J。

And an evaluating method for coplanarity is adopted,which is based on least condition principle.

提出一种基于激光跟踪原理对空间点的坐标进行测量，采用"最小条件"法为基础的共面性评价方法，实现了对由多个非连续铅垂面形成大平面的平面度的高精度测量，实际测得共面度为0。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

From the perspective of covering points in high-dimensional space, we discussed the theory of constrictive PONN based on knowledge rules. PONN's general constructive algorithm and its two special methods based on random sampling and barycenter rules respectively were proposed in this paper.

从高维空间样本点覆盖的角度，讨论了基于知识规则的构造性优先排序神经网络算法的原理，提出了网络构造过程的一般算法以及基于随机取样规则和重心点规则的两个实例算法。

And to prove several complete theorems in the two-dimensional space with the complete covering theorem.

利用完全覆盖定理证明二维空间的几个完备性定理。

With the height increasing, it grew gradually creepily and then horizontally. For the genet, it grew faster at the horizontal level than at the vertical spread. This resulted in morphology change of the genet and more movement. Therefore, it could occupy more space and nutritional resource.

再生分蘖开始表现为纵向生长，随着株高的增加，逐渐匍匐转为横向生长，基株横向扩展高于纵向扩展的速度，致使基株的形态发生变化，增加了基株的移动性、使其能获取更多的空间和资源。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。