[ boun-did ]
/ ˈbaʊn dɪd /


having bounds or limits.
  1. (of a function) having a range with an upper bound and a lower bound.
  2. (of a sequence) having the absolute value of each term less than or equal to some specified positive number.
  3. (of the variation of a function) having the variation less than a positive number.


Can You Ace This Quiz About “Compliment” vs. “Complement”?
Take this quiz to see if you really know the difference between “compliment” and “complement"!
Question 1 of 11
“Compliment” and “complement” had a shared meaning a long time ago, but today they are no longer interchangeable.

Origin of bounded

First recorded in 1590–1600; bound3 + -ed2


bound·ed·ly, adverbbound·ed·ness, noun Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

British Dictionary definitions for boundedness

/ (ˈbaʊndɪd) /

adjective maths

(of a set) having a bound, esp where a measure is defined in terms of which all the elements of the set, or the differences between all pairs of members, are less than some value, or else all its members lie within some other well-defined set
(of an operator, function, etc) having a bounded set of values
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012