My book doesn't define what a product of a permutation and a cycle would be. Cycles are permutations! Surely your book told you what it means to compose one ... ... <看更多>

The answer is to first write a function that given an integer k in [0, n!) returns the kth permutation: def unrank(n, k): pi = np.arange(n) ... ... <看更多>

Each unique motif π i m , τ \pi_i^{m, \tau} πim,τ​ can be mapped to a unique integer symbol 0 ≤ s i ≤ M ! ... <看更多>

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