Other enumeration problems lead us to the study of orbits of permutation groups . 其它的计数问题引导我们去研究置换群的轨道。
The permutation group coset method in calculations of gauge field vertices 关于规范场顶角计算的置换群陪集简化方法
Regular permutation group 正则置换群
With each recursive step, cross products with one additional permutation group are formed 伴随每个递回步骤,会形成带有一个额外置换群的向量积。
4 . according to the property that all states of a certain cellular automata can build a permutation group, we can design block cipher based on this property 根据有些细胞自动机的所有状态可以构成一个循环群这一特点,指出了利用细胞自动机构造分组密码的方式。
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。
The method used here is to recursively form cross products of the values stored in each of the gui-control-possible-value vectors we will call these vectors, " permutation groups " 此处使用的方法是递回形成储存在每个gui控制项可能值vectors中的值的积(我们称这些vectors为“置换群(permutationgroup)”)。
Then, a new arraylist is created which contains the cross product of the contents of each of the constituent arraylists of the super-arraylist with all of the elements in the second permutation group 然后,建立一个新的arraylist,它包含每个(超级arraylist的)构成的arraylists的内容和第二个置换群的所有单元的向量积。
Subsequently we analyze the isomorphism relationship between ergodic matrices and the corresponding permutation group . by defining the permutation symbol operation system of ergodic matrices, we constructed a union form to express all existed permutation algorithms 通过在理论上分析遍历矩阵和置换群的同构关系,定义了遍历矩阵对应的置换运算和符号体系,再统一的框架下表达各种图像置乱变换。
As to cyclic codes over finite chain rings, we study their stucture and develop the fourier transform method to finite chain rings . the permutation groups of cyclic codes and their extended codes are investigated using their mattson-solomn polynomials 对于有限链环上的循环码,我们研究了它们的结构,并把傅立叶变换的方法推广到有限链环,用循环码的mattson-solomn多项式对循环码及其扩展码的置换群进行了研究。