bounded

bounded [boun-did] Word Origin adjective

1. having bounds or limits.
2. Mathematics.
   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.

Origin of bounded First recorded in 1590–1600; bound3 + -ed2 Related formsbound·ed·ly, adverbbound·ed·ness, noun British Dictionary definitions for boundedly bounded adjective maths

1. (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
2. (of an operator, function, etc) having a bounded set of values