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Wiktionary
upper limit

n. (context analysis English) 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.

WordNet
upper limit
  1. n. the largest possible quantity [syn: maximum] [ant: minimum]

  2. the limit on the upper (or northernmost) side of something

Usage examples of "upper limit".

It is simply a whistle, pitched near the upper limit of audio-frequency, alternating, piercing, atonic, alive with a desperate urgency and sense of danger: knife-like, it sears through the most sleep-drugged brain and has a man, no matter how exhausted, how weak, how deeply sunk in oblivion, on his feet in seconds, the pulse-rate already accelerating to meet the latest unknown, the adrenalin already pumping into his blood-stream.

This was the upper limit of the biosphere, and surely with the loss of light and heat the upper limit would drop, at least temporarily, perhaps for good.

The upper limit on size is set by stability, because a contracting ball of gas more than about 90 solar masses will oscillate wildly, until parts of it are blown off into space.

Those that got through would have to be intercepted by active defenses, and there was, quite simply, an absolute upper limit to the number of targets Prince Adrian's defensive fire control and weapons could handle before they became saturated.

This access to the higher bands meant the first generation Warshawski Sail could move a starship at an apparent velocity of just over 800 c, but an upper limit on velocity remained, created by the range capability of the vessel's grav wave detectors.

The total pressure had to be high enough to drive oxygen into the blood, and 500 millibars was what was obtained on Earth at about the 4,000-meter elevation, near the upper limit of what people could live at permanently.

Given that it was near the upper limit, it would be best if such a thin atmosphere had more than the Terran percentage of oxygen in it, but it could not be too much more or else fires might be hard to extinguish.