映射

By Lagrange dual and scalarization of vector optimization, characterizations of solutions for which objective mapping satisfies weak convexity conditions are shown. The strongly and weak dual theorems for generalized subconvex-like mapping are obtained.

通过适当定义对偶问题和向量优化问题的标量化研究各解之间的关系，刻画目标映射满足弱凸性条件的优化问题解的特征，在目标映射是广义锥次类凸的条件下给出有关的对偶定理。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

And extended codes of quadratic residue codes over Z〓(Definition 3. 4) also are discussed, which have good dual properties (Theorem 3. 9 and Theorem 3. 10). At last, two kinds of Gray map from Z〓 to Z〓 are defined (Definition 3. 5 and Definition 3. 6), and they are compared with each other, and we find the second Gray map is better than first by an example.

最后，以两种方式定义从Z〓到Z〓的Gray映射并相应的有两种码字的Lee重量定义（定义3.5与定义3.6），并以一实例计算比较了这两种Lee重量定义，指出第二种方式定义的Gray映射更好，因为其相应的Lee重量定义使得相应所得到的最小Lee重量更大。

In this paper, two methods are presented.- computer aided interactive pattern design and pattern edit. Pattern mapping is described in terms of the parameters concerned with arc length, which is applied in the ceramics enamel product design and results in reasonable and realistic pictures.

本文介绍了计算机辅助交互花纹图案设计及花纹图案编辑的方法，并提出了一种按表面弧长有关的参数进行花纹映射，而且将这种花纹映射原理应用于搪瓷陶瓷产品设计中，花纹绘制合理，图形表现逼真。

Byapplying a general large deviation theorem of Kifer and Ruelle's Smale space tech-nique together with his unique equilibrium state result for non-Holder continuousfunctions,we obtain a level-2 LDT for the Axiom A endomorphism with respectto its equilibrium states,and for Axiom A attractors of the endomorphism withrespect to the Lebesgue measure.

利用Kifer的一个一般性的LDT，Ruelle的Smale空间方法及其关于非〓连续函数平衡态的存在唯一性结果，我们证明了公理A自映射相对平衡态的level-2 LDT，以及自映射的公理A吸引子相对Lebesgue测度的level-2LDT。

Convex fuzzy mapping and the epigraph of fuzzy mapping are defined.

首先引入凸模糊映射的概念，并定义实变量模糊数值映射的上方图。

In chapter two, by studying the properties of self-maps on trees, we obtain five necessary and sufficient conditions for the product self-maps on trees which have the property of equicontinuity on their sets of periodic points, i.e.

第二章通过对树上连续自映射性质的研究，给出了树上乘积自映射在其周期点集上等度连续的五个充要条件，即定理2.3.1，定理2.3.2，定理2.3.3和定理2.3.4。

In section three, we recall the mapping cone and show that the mapping cone is equivalent with the octahedral axiom if the other three axioms are satisfied.

在第三节，我们讨论了预三角范畴中的映射锥，证明了在其它三条公理满足的条件下，"映射锥是三角"与八面体公理等价。

It is based on the method of modeling mobile voice channel and system identification is made so that the waveform samples are designed in frequency domain with less signal distortion.Then the waveform codebook is gotten by a genetic algorithm which has the maximum Euclidean distance.Thus,the modulation and demodulation are equivalent to the mapping from index to waveforms and from waveforms to index.

提出了对移动话音业务信道建模的思想，通过系统辨识获得模型的频率响应特性，在波形畸变较小的频带范围设计波形频谱，采用遗传算法在时域样本空间全局寻优获得欧几里德距离最大的波形码本，通过码本索引值和波形矢量的映射和解映射来实现数据的调制和解调。

Secondly,how to represent knowledge by means of Escher,which is a typed higher-order logic programming language is demonstrated and three kinds of learning algorithm is introduced.

1引言归纳学习的目的在于发现样例与离散的类之间的映射关系，发现的映射关系不仅能准确地解释当前给定的样例，还要能准确地预测新的样例。

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。