通过对一类相当复杂的变分方程问题的研究并利用其有关结论，我们证明了新模型最佳控制的存在性并刻划出其结构。
From studying some kind of quite complex variational equation problems and applying the conclusion, we prove that the optimal control of new model is existent and characterize its structure.
获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。
In the inner product space, the existence theory of best approximation element was obtained and described.
作为应用，我们证明了这两个新的可微性概念分别给出了导映象的连续性和均匀连续性的特征刻划。
As to their applications, the continuity and uniformly continuity of derivative mapping are characterized by the two new notions of differentiability.
建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups.
刻划了具有P -正则自同态幺半群的二分图，讨论了字典序积图的自同态幺半群的P -正则性。
Bipartite graphs with P-regular endomorphism monoids are characterized. P-regularity of the endomorphism monoid of lexicographic product of graphs is discussed.
在平稳的基础上，使用相关长度刻划背景起伏的时空域相关性，得到两个结论。
Based on the stationary, the correlative length was applied to describe its temporal-spatial correlation, and then two conclusions were made.
对于格到格的映射，定义了两种逆映射，从而较全面地刻划了格拓扑的连续性。
Because the two inverse mappings of the mapping from a lattice to another lattice are defined, the Continuity of the lattice topology is comprehensively described.
他的谦逊、朴实，以及对敌人的警惕性都刻划得很好。
His modesty and simplicity, as well as his alertness against the enemy are well brought out.
该方法在稳健性方面明显优于最小二乘估计，更有效地刻划了传感性输出特征的本质。
The method is obviously superior to the LSE in robustness. And the character of sensor output are effective described by the improved method.
该方法在稳健性方面明显优于最小二乘估计，更有效地刻划了传感性输出特征的本质。
The method is obviously superior to the LSE in robustness. And the character of sensor output are effective described by the improved method.
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