准则

Thirdly, under the condition with noαpriori smoothness, in order to obtain the optimal convergence rates, it is not practical to use theαpriori rule. And it is necessary to use the a posteriori stopping rule which not only depends on the error boundδbut also on the perturbed data y~δ.

再次，在没有先验的光滑性信息情况下，为了获得最优收敛速率，利用先验选取准则则变得不再实用，而利用不仅依赖于误差界δ而且依赖于扰动数据y~δ的后验停止准则是必要的。

Therefore, how to discover the patterns by considering both objective measures (e.g., probability) and subjective measures (e.g., profit) is a challenge in data mining, particularly in business application.

因此，如何能够挖掘同时考量客观衡量准则与主观衡量准则之样式或规则，为资料探勘技术的挑战与企业欲了解的议题。

By choosing the proper parameters, we can prove that the new method has global and superlinear convergence properties under suitable conditions.

通过选择适当的参数，证明了改进的BFGS方法对于一类更广的搜索准则保持局部收敛性，在Wolfe搜索准则下方法还具有超线性收敛性。

One is symmetric entropy loss function, the other is Linex loss function.

一个是对称熵准则函数，另一个是Linex准则函数。

Chapter 3 respectively gives the prediction increase satisfied the symmetric entropy loss function and Linex loss function, and then study the limitation trend of ratio of prediction value to true value with corresponding proofs.

分别给出满足对称熵准则和Linex准则条件的预期增长率，并研究了汇率增长率预测值与真实值的极限比变化趋势，给出了证明。

The minimum principal stress criteria adopted in the new model ,compared with the minimum tangential stress criteria of traditional method ,illustrates the mechanism during hydraulic fracturing procedure more objectively.

新的理论模型采用了最小主应力破坏准则，与现有方法采用的最小切向应力破坏准则相比，更客观的表述了水压致裂过程中的力学机制。

According to the three criteria, an appropriate doorsill is found by adaptively adjusting a discount factor in the process of iteratively solving. 2. 3 Method of Processing the Deleted Elements According to the doorsill, the continuous topological variables can be regressed to the 0-1 type discrete topological variables.

2.2 调整折减系数搜索最佳阈值为了能使程序快速准确的得到满足约束的最优拓扑结构，根据框架结构的特性引入结构非奇异、结构响应不被违背和结构重量不改变三个准则判断迭代收敛，并根据这三个准则的满足情况，在优化迭代过程中自适应的调整折减系数来搜索最佳阈值。

The constructing process of the algorithms itself indicate that they are brevity and have definite geometric meaning, scientific iterative terminal criterions and no strict requirement to function. Finally, some digital experimentation is presented to indicate the algorithms application in solving the problem of maximum of function, transcendental equation,integer programming and so on. The results indicate that the algorithms have more global and more adaptability compared to traditional algorithms and have more calculating efficiency and more scientific iterative terminal criterions compared to some present popular artificial intelligence algorithms.

算法的构造过程本身表明了该算法简单明了、几何意义明确、迭代终止准则科学、对函数的要求较低；最后举了几个数值试验的例子以说明该类算法在求函数的最值，解超越方程以及整数规划等问题中的应用；数值试验的结果标明该算法比单纯由"微分"思想演化而来的传统算法有更好的全局性和对问题的更广泛的适应性，比现在流行的一些人工智能方法有更高的运算效率和更适当的迭代中止准则。

In addition, To release the storage load of triangle inequality elimination method, this dissertation develops an efficient codeword elimination criterion by combining the triangle inequality with the mean inequality.

另外，针对三角不等式删除准则的额外存储量大的缺点，本文通过结合均值不等式，推导出一条强有力的删除准则，大大缓解了额外存储量的负担并提高了算法效率。

Three-way data analysis (Chapter 1 to 5 of Part Ⅰ): In terms of the symmetry of trilinear model, several statistical criteria including coupled vectors resolution errors and slice-wise diagonalization error are proposed for statistically plausible resolution of trilinear data. These criteria form the basis for the development of novel trilinear analysis procedures. In Chapter 1 the coupled vectors resolution method is developed for second-order calibration.

三阶数据分析：利用三线性模型的对称性，提出了耦合向量分辨误差与同时对角化误差等多个三线性分辨的统计准则，这些准则为今后发展三线性分辨方法提供了重要依据。

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。