bounded

[boun-did] /ˈbaʊn dɪd/
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
1590-1600; bound3 + -ed2
Related forms
boundedly, adverb
boundedness, noun

bound1

[bound] /baʊnd/
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,
  1. inseparably connected with.
  2. devoted or attached to:
    She is bound up in her teaching.
Origin
past participle and past tense of bind
Related forms
boundness, noun
Synonyms
5. liable, obligated, obliged, compelled.

bound2

[bound] /baʊnd/
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)
Related forms
boundingly, adverb
Synonyms
1. See skip1 .

bound3

[bound] /baʊnd/
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.
  1. territories on or near a boundary.
  2. 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,
  1. beyond the official boundaries, prescribed limits, or restricted area:
    The ball bounced out of bounds.
  2. 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
Related forms
boundable, adjective
Synonyms
1. border, frontier, confine.
Examples from the web for bounded
  • Relationships during adolescence are usually bounded by a mutual understanding that they involve limited commitment.
  • The brain is a bounded machine, an information processing device with limited computational power.
  • 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.
  • What interests me about this study is the way it reveals the bounded nature of memory.
  • The dogs bounded back to him, the lovely bouncing run, the ears afloat.
  • Howler monkeys, smaller than their mainland cousins, bounded in the branches above.
  • He bounded to the podium, handsome in a sharp dark suit, and unleashed a booming voice.
  • Now the bits of the economy that have bounded ahead are those, such as horticulture, that owe little to the politicians.
  • Libyans bounded together and overthrew their dictator who had been ruling longer than some were alive.
British Dictionary definitions for bounded

bounded

/ˈbaʊndɪd/
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

bound1

/baʊnd/
verb
1.
the past tense and past participle of bind
adjective
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.
(postpositive) , often foll by by. compelled or obliged to act, behave, or think in a particular way, as by duty, circumstance, or convention
6.
(of a book) secured within a cover or binding: to deliver bound books See also half-bound
7.
(US) (postpositive) , foll by on. resolved; determined: bound on winning
8.
(linguistics)
  1. denoting a morpheme, such as the prefix non-, that occurs only as part of another word and not as a separate word in itself Compare free (sense 21)
  2. (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 Compare freestanding
9.
(logic) (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) (Fx → bxy), x is bound and y is free See free (sense 22)
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/
verb
1.
to move forwards or make (one's way) by leaps or jumps
2.
to bounce; spring away from an impact
noun
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
Word Origin
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/
verb
1.
(transitive) to place restrictions on; limit
2.
when intr, foll by on. to form a boundary of (an area of land or sea, political or administrative region, etc)
noun
3.
(maths)
  1. 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) See also bounded (sense 1)
  2. more generally, an element of an ordered set that has the same ordering relation to all the members of a given subset
  3. whence, an estimate of the extent of some set
4.
See bounds
Word Origin
C13: from Old French bonde, from Medieval Latin bodina, of Gaulish origin

bound4

/baʊnd/
adjective
1.
  1. (postpositive) , often foll by for. going or intending to go towards; on the way to: a ship bound for Jamaica, homeward bound
  2. (in combination): northbound traffic
Word Origin
C13: from Old Norse buinn, past participle of būa to prepare
Word Origin and History for bounded

bound

adj.

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

"ready to go," c.1200, boun, from Old Norse buinn past participle of bua "to prepare," also "to dwell, to live," from Proto-Germanic *bowan (cf. Old High German buan "to dwell," Old Danish both "dwelling, stall"), from PIE root *bheue- "to be, exist, dwell" (see be). Final -d is presumably through association with bound (adj.1).

n.

"limit," c.1200, from Anglo-Latin bunda, from Old French bonde "limit, boundary, boundary stone" (12c., Modern French borne), variant of bodne, from Medieval Latin bodina, perhaps from Gaulish. Now chiefly in out of bounds, which originally referred to limits imposed on students at schools.

v.

"to form the boundary of," also "to set the boundaries of," late 14c., from bound (n.). Related: Bounded; bounding.

"to leap," 1580s, from French bondir "to rebound, resound, echo," from Old French bondir "to leap, rebound; make a noise, beat (a drum)," 13c., ultimately "to echo back," from Vulgar Latin *bombitire "to buzz, hum" (see bomb (n.)), perhaps on model of Old French tentir, from Vulgar Latin *tinnitire.

bounded in Technology

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="" x="" has="" a="" least="" upper="" bound="" then="" boundedly="" complete.
("<=" is="" written="" in="" LaTeX as \subseteq).
(1995-02-03)

Idioms and Phrases with bounded

bound

also see:
also see under:
bind