借助于四元数理论证明了任意顺序下刚体有限转动合成的可交换性定理。
With the help of the theory of quaternions the theorems of commutativity of composition for the finite rotation of rigid body are proved in the any order.
给出了满足某可变恒等式的半质环的交换性定理，推广了已有的结论。
In this paper, the author gave some commutativity theorems on semi-prime ring with variable identity, which is a generalization related.
作为本文的主要结果，关于交换环上矩阵的正点定理，零点定理和非负点定理被建立。
As the main results, it gives a Positivstellensatz, a Nullstellensatz and a Nichtnegativstellensatz for matrices over a commutative ring.
本文给出了2—距离空间中可交换映射序列的几个新的公共不动点定理。
Several new fixed-point theorems of commuting mapping sequences on a 2 - metric space are shown in this paper.
应用函数列的极限与函数的极限交换次序定理，研究了二元函数的二重极限与它的两个累次极限的关系定理，研究了二元函数的两个二阶混合偏导数可交换次序定理。
By using the limits of functions and the exchange limit theorem, we considered the relationship between the double limit of function with two variables and its repeated limits.
把郭华光在文献[1]中关于结合环的交换性定理推广到分配生成左拟环上。
The commutative theorem characterized by an associative ring, presented in document 1 noted by Guo Huaguang is extended to the formation of the left near ring with partition law.
新要素禀赋、网络效应、可乐定理、“知识产权可取得性”等是新的市场规则，体现了新的价值规律和商品交换关东。
New elements endowment, network effect, Cola principle and "the availability of intellectual right" are the new market regulations, which reflect the new law of values and goods-exchanging relation.
本文给出一类映象序列和与其可交换的映象对的公共不动点定理。
In this paper we prove a common fixed point theorem for a class of sequences of mapping and mapping pair commuting with sequences.
提出改进算法，改进算法的理论基础是直接相连和间接相连定理，它具有交换机的发现完备性并且可以对哑设备进行处理。
Compared with the original algorithm, this improved algorithm can discovery more devices, and can decreases the requirements of AFT of switches.
提出改进算法，改进算法的理论基础是直接相连和间接相连定理，它具有交换机的发现完备性并且可以对哑设备进行处理。
Compared with the original algorithm, this improved algorithm can discovery more devices, and can decreases the requirements of AFT of switches.
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