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1·With each recursive step, cross products with one additional Permutation Group are formed.

伴随每个递归步骤，会形成带有一个额外置换群的向量积。

2·A permutation group approach to a one dimensional Heisenberg open spin 12 chain with nearest neighbor interactions is studied.

利用置换群方法研究了具有邻近相互作用的一维海森堡自旋12开链模型。

3·We start by forming an ArrayList containing a set of ArrayLists, in which each of the constituent ArrayLists contains exactly one element of the first Permutation Group.

我们开始形成包含一组ArrayLists的ArrayList，在其中，每个构成的ArrayLists正好包含第一个置换群的一个元素。

4·To extract additional information from votes, the CBM uses multiple feature matrices, probability feature matrices, vectors and permutation group as basic components.

这套系统具有特征索引族以置换变化下不变性，区分候选人特有的概率特征向量。

5·In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.

十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。

6·The routing algorithm for alternating group networks and shuffle-exchange permutation networks.

交错群网络与洗牌交换置换网络的路由算法。

7·A sufficient and necessary condition for a group of multiple-valued logical functions to form a permutation is presented in this paper.

本文给出了一组多值逻辑函数构成置换的一个充要条件。