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Bound vs Constraint - What's the difference?

bound | constraint |

In mathematics terms the difference between bound and constraint

is that bound is to be the boundary of while constraint is a condition that a solution to an optimization problem must satisfy.

As nouns the difference between bound and constraint

is that bound is a boundary, the border which one must cross in order to enter or leave a territory while constraint is something that constrains.

As a verb bound

is past tense of bind.

As an adjective bound

is obliged (to).

bound

English

Alternative forms

* bownd (archaic)

Etymology 1

See bind

Verb

(head)
  • (bind)
  • * {{quote-book, year=1905, author=
  • , title= , chapter=1 citation , passage=“[…] Captain Markam had been found lying half-insensible, gagged and bound , on the floor of the sitting-room, his hands and feet tightly pinioned, and a woollen comforter wound closely round his mouth and neck?; whilst Mrs. Markham's jewel-case, containing valuable jewellery and the secret plans of Port Arthur, had disappeared. […]”}}
    ''I bound the splint to my leg.
    ''I had bound the splint with duct tape.

    Adjective

    (-)
  • (with infinitive) Obliged (to).
  • * {{quote-book, year=1905, author=
  • , title= , chapter=5 citation , passage=Then I had a good think on the subject of the hocussing of Cigarette, and I was reluctantly bound to admit that once again the man in the corner had found the only possible solution to the mystery.}}
  • (with infinitive) Very likely (to).
  • * , chapter=5
  • , title= Mr. Pratt's Patients , passage=When you're well enough off so's you don't have to fret about anything but your heft or your diseases you begin to get queer, I suppose. And the queerer the cure for those ailings the bigger the attraction. A place like the Right Livers' Rest was bound to draw freaks, same as molasses draws flies.}}
  • (linguistics, of a morpheme) That cannot stand alone as a free word.
  • (mathematics, logic, of a variable) Constrained by a quantifier.
  • (dated) constipated; costive
  • Antonyms
    * free
    Derived terms
    * bound to * I'll be bound

    Etymology 2

    From (etyl) bounde, from (etyl) bunne, from

    Noun

    (en noun)
  • (often, used in plural) A boundary, the border which one must cross in order to enter or leave a territory.
  • I reached the northern bound of my property, took a deep breath and walked on.
    Somewhere within these bounds you may find a buried treasure.
  • (mathematics) a value which is known to be greater or smaller than a given set of values
  • Derived terms
    * boundary * boundless * harmonic bounding * least upper bound * lower bound * metes and bounds * out of bounds * upper bound * within bounds

    Verb

    (en verb)
  • To surround a territory or other geographical entity.
  • ''France, Portugal, Gibraltar and Andorra bound Spain.
    ''Kansas is bounded by Nebraska on the north, Missouri on the east, Oklahoma on the south and Colorado on the west.
  • (mathematics) To be the boundary of.
  • Derived terms
    * unbound * unbounded

    Etymology 3

    From (etyl) .

    Noun

    (en noun)
  • A sizeable jump, great leap.
  • ''The deer crossed the stream in a single bound .
  • A spring from one foot to the other in dancing.
  • (dated) A bounce; a rebound.
  • the bound of a ball
    (Johnson)
    Derived terms
    * by leaps and bounds

    Verb

    (en verb)
  • To leap, move by jumping.
  • ''The rabbit bounded down the lane.
  • To cause to leap.
  • to bound a horse
    (Shakespeare)
  • (dated) To rebound; to bounce.
  • a rubber ball bounds on the floor
  • (dated) To cause to rebound; to throw so that it will rebound; to bounce.
  • to bound a ball on the floor
    Derived terms
    * rebound

    Etymology 4

    Alteration of boun , with -d partly for euphonic effect and partly by association with Etymology 1, above.

    Adjective

    (en adjective)
  • (obsolete) ready, prepared.
  • ready, able to start or go (to); moving in the direction (of).
  • ''Which way are you bound ?
    ''Is that message bound for me?
    Derived terms
    * -bound * bound for

    constraint

    Noun

    (en noun)
  • Something that constrains.
  • (mathematics) A condition that a solution to an optimization problem must satisfy.
  • A restriction.
  • Derived terms

    * constraint satisfaction