Definition of "upper limit" []

• The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the "first subsequence." Then remove the first term of the first subsequence in order to obtain the "second subsequence." Repeat the removal of first terms in order to obtain a "third subsequence," "fourth subsequence," etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit. (noun)

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• "For example, BBL could appear as the upper limit to an R-loop: #RZ1BBL loops with Z running from the first operand to the third-to-last operand."
• "If you are using MIT PGP 2.6.2, ViaCrypt PGP 2.7.1, or PGP 2. 6.2i, you can specify key sizes greater than 1024 bits; the upper limit for these programs is 2048 bits."