bounded function

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bounded function

[¦bau̇n·dəd ′fəŋk·shən]
(mathematics)
A function whose image is a bounded set.
A function of a metric space to itself which moves each point no more than some constant distance.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in classic literature ?
As for shawls, kid gloves, silk stockings, gold French watches, bracelets and perfumery, he sent them in with the profusion of blind love and unbounded credit.
I did not slink away through cowardice, but through an unbounded vanity.
The Renaissance movement first received definite direction from the rediscovery and study of Greek literature, which clearly revealed the unbounded possibilities of life to men who had been groping dissatisfied within the now narrow limits of medieval thought.
Soon the study of Greek was introduced into England, also, first at Oxford; and it was cultivated with such good results that when, early in the sixteenth century, the great Dutch student and reformer, Erasmus, unable through poverty to reach Italy, came to Oxford instead, he found there a group of accomplished scholars and gentlemen whose instruction and hospitable companionship aroused his unbounded delight.
Did I imitate your forbearance, or lessen your restraints, by taking any part in those offices of general complaisance or particular gratitude which you had hitherto been left to discharge alone?--No;-- not less when I knew you to be unhappy, than when I had believed you at ease, did I turn away from every exertion of duty or friendship; scarcely allowing sorrow to exist but with me, regretting only THAT heart which had deserted and wronged me, and leaving you, for or I professed an unbounded affection, to be miserable for my sake."
When I reflected that this marvellous electric agent, after having afforded motion, heat, and light to the Nautilus, still protected her from outward attack, and transformed her into an ark of safety which no profane hand might touch without being thunderstricken, my admiration was unbounded, and from the structure it extended to the engineer who had called it into existence.
The great chief was unbounded in his expressions of gratitude for the recovery of his daughter.
The grief and consternation of Kory-Kory, in particular, was unbounded; he threw himself into a perfect paroxysm of gestures which were intended to convey to us not only his abhorrence of Nukuheva and its uncivilized inhabitants, but also his astonishment that after becoming acquainted with the enlightened Typees, we should evince the least desire to withdraw, even for a time, from their agreeable society.
"Perfectly so, madame, for his majesty's kindness to me is unbounded."
Some were lying among the herbage, others roaming in their unbounded pastures, while many were engaged in fierce contests like those already described, their low bellowings reaching the ear like the hoarse murmurs of the surf on a distant shore.
He liked a bottle of wine and a good dinner, and having once been seen at the Cafe Royal with a lady who was very probably a near relation, was thenceforward supposed by generations of schoolboys to indulge in orgies the circumstantial details of which pointed to an unbounded belief in human depravity.
Throughout campaign you showed optimism, energy & unbounded confidence in our wonderful country & we need that.