31. Then there exists a subsequence { " f n k " } that converges uniformly on. 32. Carrie became involved in the International Women's Suffrage Alliance subsequence to the death of her husband. 33. Therefore, longest increasing subsequence algorithms can be used to solve the clique problem efficiently in permutation graphs. 34. By the pigeonhole principle it will have a k-term monochromatic monotonic subsequence thereby finishing the problem. 35. For the second part of 2, the point is to find a subsequence satisfying the above condition. 36. For twice continuously differentiable functions, the LJ heuristic generates a sequence of iterates having a convergent subsequence . 37. The hook length formula also has important applications to the analysis of longest increasing subsequences in random permutations. 38. Then the subsequence ( x _ { n _ j } ) corresponding to these peaks is monotonically decreasing. 39. For two input sequences, an scs can be formed from a longest common subsequence ( lcs ) easily. 40. The sequence of partial sums obtained by grouping is a subsequence of the partial sums of the original series.
