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# Boundedness

having bounds or limits.
Mathematics.

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

(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

Tagged:

• Bounden

obligatory; compulsory: one’s bounden duty. Archaic. under obligation; obliged. Historical Examples John Caldigate Anthony Trollope The Expositor’s Bible: The Epistles of St. Peter J. Rawson Lumby The Guests Of Hercules C. N. Williamson and A. M. Williamson Expositor’s Bible: The Epistles of St. John William Alexander The History of the Great and Mighty Kingdom of […]

• Bounder

an obtrusive, ill-bred man. a person or thing that bounds. Historical Examples Into the Primitive Robert Ames Bennet The Spoilers of the Valley Robert Watson Happy Days Alan Alexander Milne The Golden Shoemaker J. W. Keyworth The Golden Shoemaker J. W. Keyworth The Golden Shoemaker J. W. Keyworth Camp Fire Yarns of the Lost Legion […]

• Bounding

simple past tense and past participle of bind. tied; in bonds: a bound prisoner. made fast as if by a band or bond: She is bound to her family. secured within a cover, as a book. under a legal or moral obligation: He is bound by the terms of the contract. destined; sure; certain: It […]

• Boundingly

to move by leaps; leap; jump; spring: The colt bounded through the meadow. to rebound, as a ball; bounce: The ball bounded against the wall. a leap onward or upward; jump. a rebound; bounce. Historical Examples Travels in Tartary, Thibet, and China Evariste Regis Huc verb the past tense and past participle of bind adjective […]

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