查询词典 unique factorization theorem

Our first main result is (see §9.1) 9.1. Theorem. Let a =∈〓.χ={i =｜〓=〓}, where 〓 is the unique longestelement in Weyl group of complex semi-simple Lie algebra for type 〓. Thencorresponding to 62 equivalence classes in χ for certain equivalent relation ～,we have 62 monomial elements in canonical basis, each of them correspondsto a region which consists of six independent inequalities.

我们的第一个主要结果是群的唯一最长元素，那么与χ的关于某种等价关系～的62个等价类对应，在典范基中有62个单项式元素，每个单项式元素对应一个由六个独立不等式构成的区域。

In this paper, the connectivity axiom and the continuity axiom in Von Neumann-Morgenstern Rational behavior axioms are weakened. Then, a set of axiom for lattice ordered decision-making behavior, which can describe the decision-making behavior more rationally, is constructed. At last, the relative unique existence theorem for utility function is obtained.

根据偏好关系所具有的格序特征，将Von Neumann-Morgenstern理性行为公理体系中的连通性公理弱化为格连通性公理，并相应地弱化连续性公理，得到了一集能更为合理地描述具有"有限理性"的决策行为的格序决策行为公理体系，构造并证明了在格序决策行为公理体系之下，效用函数的存在惟一性定理。

This paper proves that every probabilistic contraction map from E to E has a unique fixed point, where E is a complete and uniformly local semi-convex probabilistic normed spacer and obtains a fixed point theorem in metric linear spaces.

摘要证明了完备的一致局部半凸概率赋范空间上的概率压缩映象必有唯一不动点，得到了一类度量线性空间中关于伪范数族一致压缩映象的不动点定理。

Theorem 1 If the sequence is convergent, then its limit is unique.

定理 1 如果数列收敛，那么它的极限唯一。

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。

Secondly, we prove the existence and the unique theorem of the strong solution for the equations by the Faedo-Galerkin approach.

据我们所知，这类问题解的存在性已有很多经典的结果，但关于全局吸引子的存在性还没有任何结论。

The unique existence theorem for minimal determining set of non-binarycomplete rational choice function is also obtained.

构造并证明了非二元性完全理性选择函数的最小决定集的存在惟一性定理。

The unique existence theorem forutility function based on the new axioms,which is the base of lattice-orderdecision-making theory,is obtained in this dissertation.

本论文研究了在格序决策行为公理体系之下效用函数的存在性问题，并给出了相应的存在惟一性定理，为格序决策理论与方法的研究奠定了基础。

The unique existence theorem forutility function based on thenew axioms is obtained.

给出并证明了基于格序决策行为公理体系的效用函数的存在惟一性定理，为格序决策的研究奠定了理论基础。

Theorem 1 (Uniqueness of Limit of Function) If exists, then its limit is unique.

定理 1 如果存在，那么这极限唯一。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。