bounded

[boun-did]
adjective
1.
having bounds or limits.
2.
Mathematics.
a.
(of a function) having a range with an upper bound and a lower bound.
b.
(of a sequence) having the absolute value of each term less than or equal to some specified positive number.
c.
(of the variation of a function) having the variation less than a positive number.

Origin:
1590–1600; bound3 + -ed2

boundedly, adverb
boundedness, noun
Dictionary.com Unabridged

bound

1 [bound]
verb
1.
simple past tense and past participle of bind.
adjective
2.
tied; in bonds: a bound prisoner.
3.
made fast as if by a band or bond: She is bound to her family.
4.
secured within a cover, as a book.
5.
under a legal or moral obligation: He is bound by the terms of the contract.
6.
destined; sure; certain: It is bound to happen.
7.
determined or resolved: He is bound to go.
8.
Pathology, constipated.
9.
Mathematics. (of a vector) having a specified initial point as well as magnitude and direction. Compare free ( def 31 ).
10.
held with another element, substance, or material in chemical or physical union.
11.
(of a linguistic form) occurring only in combination with other forms, as most affixes. Compare free ( def 34 ).
Idioms
12.
bound up in/with,
a.
inseparably connected with.
b.
devoted or attached to: She is bound up in her teaching.

Origin:
past participle and past tense of bind

boundness, noun


5. liable, obligated, obliged, compelled.

bound

2 [bound]
verb (used without object)
1.
to move by leaps; leap; jump; spring: The colt bounded through the meadow.
2.
to rebound, as a ball; bounce: The ball bounded against the wall.
noun
3.
a leap onward or upward; jump.
4.
a rebound; bounce.

Origin:
1545–55; < Middle French bond a leap, bondir to leap, orig. resound ≪ Vulgar Latin *bombitīre for *bombitāre to buzz, whiz (Latin bomb(us) (see bomb) + -it- intensive suffix + -ā- thematic vowel + -re infinitive suffix)

boundingly, adverb


1. See skip1.

bound

3 [bound]
noun
1.
Usually, bounds. limit or boundary: the bounds of space and time; within the bounds of his estate; within the bounds of reason.
2.
something that limits, confines, or restrains.
3.
bounds.
a.
territories on or near a boundary.
b.
land within boundary lines.
4.
Mathematics. a number greater than or equal to, or less than or equal to, all the numbers in a given set. Compare greatest lower bound, least upper bound, lower bound, upper bound.
verb (used with object)
5.
to limit by or as if by bounds; keep within limits or confines.
6.
to form the boundary or limit of.
7.
to name or list the boundaries of.
verb (used without object)
8.
to abut.
Idioms
9.
out of bounds,
a.
beyond the official boundaries, prescribed limits, or restricted area: The ball bounced out of bounds.
b.
forbidden; prohibited: The park is out of bounds to students.

Origin:
1175–1225; Middle English bounde < Anglo-French; Old French bone, bonde, variant of bodne < Medieval Latin budina, of uncertain origin; cf. bourn2

boundable, adjective


1. border, frontier, confine.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Collins
World English Dictionary
bound1 (baʊnd)
 
vb
1.  the past tense and past participle of bind
 
adj (, often foll by by) (, foll by on)
2.  in bonds or chains; tied with or as if with a rope: a bound prisoner
3.  (in combination) restricted; confined: housebound; fogbound
4.  (postpositive, foll by an infinitive) destined; sure; certain: it's bound to happen
5.  compelled or obliged to act, behave, or think in a particular way, as by duty, circumstance, or convention
6.  See also half-bound (of a book) secured within a cover or binding: to deliver bound books
7.  (US) resolved; determined: bound on winning
8.  linguistics
 a.  Compare free denoting a morpheme, such as the prefix non-, that occurs only as part of another word and not as a separate word in itself
 b.  Compare freestanding (in systemic grammar) denoting a clause that has a nonfinite predicator or that is introduced by a binder, and that occurs only together with a freestanding clause
9.  logic See free (of a variable) occurring within the scope of a quantifier that indicates the degree of generality of the open sentence in which the variable occurs: in (x) (Fxbxy), x is bound and y is free
10.  bound up with closely or inextricably linked with: his irritability is bound up with his work
11.  I'll be bound I am sure (something) is true

bound2 (baʊnd)
 
vb
1.  to move forwards or make (one's way) by leaps or jumps
2.  to bounce; spring away from an impact
 
n
3.  a jump upwards or forwards
4.  by leaps and bounds with unexpectedly rapid progess: her condition improved by leaps and bounds
5.  a sudden pronounced sense of excitement: his heart gave a sudden bound when he saw her
6.  a bounce, as of a ball
 
[C16: from Old French bond a leap, from bondir to jump, resound, from Vulgar Latin bombitīre (unattested) to buzz, hum, from Latin bombus booming sound]

bound3 (baʊnd)
 
vb (when intr, foll by on)
1.  (tr) to place restrictions on; limit
2.  to form a boundary of (an area of land or sea, political or administrative region, etc)
 
n
3.  maths
 a.  See also bounded a number which is greater than all the members of a set of numbers (an upper bound), or less than all its members (a lower bound)
 b.  more generally, an element of an ordered set that has the same ordering relation to all the members of a given subset
 c.  whence, an estimate of the extent of some set
4.  See bounds
 
[C13: from Old French bonde, from Medieval Latin bodina, of Gaulish origin]

bound4 (baʊnd)
 
adj (, often foll by for)
a.  going or intending to go towards; on the way to: a ship bound for Jamaica; homeward bound
 b.  (in combination): northbound traffic
 
[C13: from Old Norse buinn, past participle of būa to prepare]

bounded (ˈbaʊndɪd)
 
adj
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

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

bound
"to leap," 1580s, from Fr. bondir "to rebound, resound, echo," from O.Fr. bondir "to leap, rebound; make a noise, beat (a drum)," 13c., ultimately "to echo back," from V.L. *bombitire "to buzz, hum" (see bomb), perhaps on model of O.Fr. tentir from V.L. *tinnitire.

bound
"fastened," mid-14c., in figurative sense of "compelled," from bounden, pp. of bind (q.v.). Meaning "under obligation" is from late 15c.; the literal sense "made fast by tying" is the latest recorded (1550s).

bound
"ready to go," c.1200, boun, from O.N. buinn pp. of bua "to prepare," also "to dwell, to live," from P.Gmc. *bowan (cf. O.H.G. buan "to dwell," O.Dan. both "dwelling, stall"), from PIE base *bheue- "to be, exist, dwell" (see be). Final -d is presumably through association with bound (adj.1).

bound
"limit," c.1200, from Anglo-L. bunda, from O.Fr. bonde "limit, boundary, boundary stone" (12c., Mod.Fr. borne), variant of bodne, from M.L. bodina, perhaps from Gaulish. Now chiefly in out of bounds, which originally referred to limits imposed on students at schools. The verb meaning "to form the boundary
of" is from c.1600. Boundless is from 1590s.

bound
past tense of bind (v.).
Online Etymology Dictionary, © 2010 Douglas Harper
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FOLDOC
Computing Dictionary

bounded definition

theory
In domain theory, a subset S of a cpo X is bounded if there exists x in X such that for all s in S, s <= x. In other words, there is some element above all of S. If every bounded subset of X has a least upper bound then X is boundedly complete.
("<=" is written in LaTeX as \subseteq).
(1995-02-03)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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Example sentences
Relationships during adolescence are usually bounded by a mutual understanding
  that they involve limited commitment.
He bounded over the tall weeds to her, bleating hungrily.
As the dogs bounded into camp, you could see how they couldn't wait to provide
  for the pups.
The dogs bounded back to him, the lovely bouncing run, the ears afloat.
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