Bounded



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.

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 is bound to happen.
determined or resolved:
He is bound to go.
Pathology, constipated.
Mathematics. (of a vector) having a specified initial point as well as magnitude and direction.
Compare free (def 32).
held with another element, substance, or material in chemical or physical union.
(of a linguistic form) occurring only in combination with other forms, as most affixes.
Compare free (def 35).
bound up in / with,

inseparably connected with.
devoted or attached to:
She is bound up in her teaching.

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.
Usually, bounds. limit or boundary:
the bounds of space and time; within the bounds of his estate; within the bounds of reason.
something that limits, confines, or restrains.
bounds.

territories on or near a boundary.
land within boundary lines.

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.
to limit by or as if by bounds; keep within limits or confines.
to form the boundary or limit of.
to name or list the boundary of.
to abut.
out of bounds,

beyond the official boundaries, prescribed limits, or restricted area:
The ball bounced out of bounds.
forbidden; prohibited:
The park is out of bounds to students.

Contemporary Examples

Is It Paul Ryan to the Rescue on the Romney Ohio Bus Tour? David Freedlander September 25, 2012
Romney Plays It Safe Howard Kurtz August 30, 2012
Cyprus is Imploding, So Why Aren’t Markets Freaking Out? Megan McArdle March 21, 2013
Flannery Feathers Her Nest Brad Gooch February 23, 2009
Michele Bachmann Saves Day Three of CPAC Caitlin Dickson March 15, 2013

Historical Examples

The Battleship Boys at Sea Frank Gee Patchin
Classic Myths Mary Catherine Judd
Blackwood’s Edinburgh Magazine, No. CCCXXXVI. October, 1843. Vol. LIV. Various
Adventures and Recollections Bill o’th’ Hoylus End
Balsamo, The Magician Alexander Dumas

adjective (maths)
(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
verb
the past tense and past participle of bind
adjective
in bonds or chains; tied with or as if with a rope: a bound prisoner
(in combination) restricted; confined: housebound, fogbound
(postpositive, foll by an infinitive) destined; sure; certain: it’s bound to happen
(postpositive) , often foll by by. compelled or obliged to act, behave, or think in a particular way, as by duty, circumstance, or convention
(of a book) secured within a cover or binding: to deliver bound books See also half-bound
(US) (postpositive) , foll by on. resolved; determined: bound on winning
(linguistics)

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)
(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

(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)
bound up with, closely or inextricably linked with: his irritability is bound up with his work
I’ll be bound, I am sure (something) is true
verb
to move forwards or make (one’s way) by leaps or jumps
to bounce; spring away from an impact
noun
a jump upwards or forwards
by leaps and bounds, with unexpectedly rapid progess: her condition improved by leaps and bounds
a sudden pronounced sense of excitement: his heart gave a sudden bound when he saw her
a bounce, as of a ball
verb
(transitive) to place restrictions on; limit
when intr, foll by on. to form a boundary of (an area of land or sea, political or administrative region, etc)
noun
(maths)

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)
more generally, an element of an ordered set that has the same ordering relation to all the members of a given subset
whence, an estimate of the extent of some set

See bounds
adjective

(postpositive) , often foll by for. going or intending to go towards; on the way to: a ship bound for Jamaica, homeward bound
(in combination): northbound traffic

adj.
n.
v.

bound and determined to
bound for
bound hand and foot
bound to, be
bound up in

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  • Boundedly

    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. adjective (maths) (of […]

  • Boundedly-complete

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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. adjective (maths) (of […]

  • 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 […]



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