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.
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