查询词典 theorems

Second, in the fourth character, we discuss Vague groups, give some interesting properties, and the most important result is the homomorphism and isomorphism between two L-Vague sets, the homomorphism and isomorphism theorems in the theory of classical groups are extended to the L-Vague groups.

二是研究了Vague集的群问题，给出了一些性质，并着重研究了L-Vague群的同态和同构，将群中的同态定理和同构定理推广到L-Vague群上，见第四章。

At the same time corresponding theorems are obtaind concerning the closure property of stochastic maximum of the random variable in the up reversed hazard order and the down reversed hazard order.

另外我们还得到了向上和向下反失效率序都关于随机变量的极大具有封闭性等定理。

The main subjects of the volume include:- spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers;- multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations;- Hankel operators and forms;- operator algebras;- the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations;- approximation in holomorphic spaces.

卷包括：主要课程-定期微分算子和延迟方程谱分析，稳定控制器，傅立叶乘数；-多变量算子理论，模型论，换位解除定理，coisometric变现；- Hankel算子和形式；-算子代数；-在奇异积分和谐波分析，奇异积分算子和积分表示贝尔曼函数方法；-在全纯空间近似。

This paper gives the definitions and some fundamental theorems on the completion and continuous mapping in the topological ∧ weak complete distributive lattice.

本文在作者的∧弱完全分配格的可备并同态扩张定理的基础上，给出了拓扑∧完全分配格的完备化与连续映象的定义与若干基本定理。

Firstly, this paper discusses the representation theorems which based onunion-intersection-preserving mapping and intersection-union-preserving map-ping respectively, under the condition of which the membership degree's lattice isonly complete lattice.

本文首先讨论在模糊集的值格仅为完备格时，分别基于并交映射和交并映射的模糊集表现定理。

And based on those measures two I/O linear scalable feature selection algorithms, StaFSOS and EnFSOS, are accurately constructed. 2 On the basis of Quotient Space theory and EnFSOS , granular transformation RBF classification model, GTM-CORBUNfast is constructed. The correctness of this model is proved by complete partial lattice, lattice tree search and property preserved theorems.

二、根据商空间理论，结合本文在特征选择和RBF神经网络的研究结果，给出了基于粒度变换的分类器构造模型GTM-CORBUN〓，并证明了其对应粒度变换的完备半序格、格树搜索和分类判别函数的性质保持性定理。

2By constructing a completely continuous operator in a functional space and employing the cone compression and expansion fixed point theorems, we obtain some sufficient conditions which guarantee the existence of positive periodic solutions for Eq.

通过在一个函数空间构造一个全连续算子，再利用锥压缩锥拉伸不动点定理，得到了一些保证方程(1)，(2)至少存在一个周期正解的充分条件，所得结论改进了文[1]和[6]中的结果。

In chapter 4, we give the definitions of almost spirallike mappings of type β and order α, spirallike mappings of type β and order α and strongly spirallike mappings of type β and order α, and obtain their growth and covering theorems on the unit ball in complex Banach spaces.

在第四章中，我们在复Banach空间中的单位球上定义了几类新的映射：α次的殆β型螺形映射，α次的β型螺形映射和α次的强β型螺形映射，并且证明了它们的增长掩盖定理。

Based on the conditional rough entropy theory, the definition of the conditional rough entropy of set is given and it can measure the uncertainty of set. The properties and the related theorems are given.

基于知识的条件粗糙熵理论，提出了集合的条件粗糙熵概念，用来刻画和度量集合的不确定性。

By re-prove the theorem on the relationship between information entropy and roughness of knowledge,this paper finds that it is conditional information entropy which exists one-to-one relationship with roughness of knowledge.Then several related theorems are given and proved.

该文通过重新证明知识粗糙性和信息熵的对应关系定理，找到与知识粗糙性存在一一对应关系的是条件信息熵，并给出相关定理及其证明。

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。