11. A grouping of a series thus corresponds to a subsequence of its partial sums. 12. For example, this eliminates the subsequence step in the second proof by contradiction. 13. Now you have a sequence of nested subsequences . 14. Each set of 12 timing pulses was called an instruction " subsequence ". 15. Simple instructions, such as TC, executed in a single subsequence of 12 pulses. 16. This is not to be confused with subsequence , which is a generalization of substring. 17. Any data not in the longest common subsequence is presented as an insertion or deletion. 18. One can always drop to a subsequence . 19. Produced in direct subsequence , this second series has a stronger personal feel about it. 20. ;Sequentially compact : A space is sequentially compact if every sequence has a convergent subsequence .