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The Collaborative International Dictionary
Forcing

Forcing \For"cing\, n.

  1. The accomplishing of any purpose violently, precipitately, prematurely, or with unusual expedition.

  2. (Gardening) The art of raising plants, flowers, and fruits at an earlier season than the natural one, as in a hitbed or by the use of artificial heat.

    Forcing bed or Forcing pit, a plant bed having an under layer of fermenting manure, the fermentation yielding bottom heat for forcing plants; a hotbed.

    Forcing engine, a fire engine.

    Forcing fit (Mech.), a tight fit, as of one part into a hole in another part, which makes it necessary to use considerable force in putting the two parts together.

    Forcing house, a greenhouse for the forcing of plants, fruit trees, etc.

    Forcing machine, a powerful press for putting together or separating two parts that are fitted tightly one into another, as for forcing a crank on a shaft, or for drawing off a car wheel from the axle.

    Forcing pump. See Force pump (b) .

Forcing

Force \Force\, v. t. [imp. & p. p. Forced; p. pr. & vb. n. Forcing.] [OF. forcier, F. forcer, fr. LL. forciare, fortiare. See Force, n.]

  1. To constrain to do or to forbear, by the exertion of a power not resistible; to compel by physical, moral, or intellectual means; to coerce; as, masters force slaves to labor.

  2. To compel, as by strength of evidence; as, to force conviction on the mind.

  3. To do violence to; to overpower, or to compel by violence to one's will; especially, to ravish; to violate; to commit rape upon.

    To force their monarch and insult the court.
    --Dryden.

    I should have forced thee soon wish other arms.
    --Milton.

    To force a spotless virgin's chastity.
    --Shak.

  4. To obtain, overcome, or win by strength; to take by violence or struggle; specifically, to capture by assault; to storm, as a fortress; as, to force the castle; to force a lock.

  5. To impel, drive, wrest, extort, get, etc., by main strength or violence; -- with a following adverb, as along, away, from, into, through, out, etc.

    It stuck so fast, so deeply buried lay That scarce the victor forced the steel away.
    --Dryden.

    To force the tyrant from his seat by war.
    --Sahk.

    Ethelbert ordered that none should be forced into religion.
    --Fuller.

  6. To put in force; to cause to be executed; to make binding; to enforce. [Obs.]

    What can the church force more?
    --J. Webster.

  7. To exert to the utmost; to urge; hence, to strain; to urge to excessive, unnatural, or untimely action; to produce by unnatural effort; as, to force a conceit or metaphor; to force a laugh; to force fruits.

    High on a mounting wave my head I bore, Forcing my strength, and gathering to the shore.
    --Dryden.

  8. (Whist) To compel (an adversary or partner) to trump a trick by leading a suit of which he has none.

  9. To provide with forces; to re["e]nforce; to strengthen by soldiers; to man; to garrison. [Obs.]
    --Shak.

  10. To allow the force of; to value; to care for. [Obs.]

    For me, I force not argument a straw.
    --Shak.

    Syn: To compel; constrain; oblige; necessitate; coerce; drive; press; impel.

Wiktionary
forcing

n. 1 (context horticulture English) The art of raising plants at an earlier season than is normal, especially by using a hotbed 2 (context photography English) An extension in the development time of an underexposed negative in order to bring out detail 3 (context set theory English) A technique used to prove the consistency of certain axioms in set theory. See (w: forcing (mathematics)). 4 (context climatology countable English) The net flux of energy in or out of a system; the net change in an energy balance. vb. (present participle of force English)

WordNet
Wikipedia
Forcing (mathematics)

In the mathematical discipline of set theory, forcing is a technique discovered by Paul Cohen for proving consistency and independence results. It was first used, in 1963, to prove the independence of the Axiom of Choice and the Continuum Hypothesis from Zermelo–Fraenkel set theory. Forcing was considerably reworked and simplified in the following years, and has since served as a powerful technique, both in set theory and in areas of mathematical logic such as recursion theory.

Descriptive set theory uses the notion of forcing from both recursion theory and set theory. Forcing has also been used in model theory, but it is common in model theory to define genericity directly without mention of forcing.

Forcing

Forcing may refer to:

  • Forcing (set theory), a technique for obtaining independence proofs for set theory
  • Forcing (recursion theory)
  • Radiative forcing, the difference between the incoming radiation energy and the outgoing radiation energy in a given climate system
  • Cloud forcing, the difference between the radiation budget components for average cloud conditions and cloud-free conditions
  • Forcing (magic), a technique by which a magician forces one outcome from a card draw
  • Forcing, driving a harmonic oscillator at a particular frequency
  • Forcing bulbs, whereby plants are induced to flower earlier than their natural season
Forcing (recursion theory)

Forcing in recursion theory is a modification of Paul Cohen's original set theoretic technique of forcing to deal with the effective concerns in recursion theory. Conceptually the two techniques are quite similar, in both one attempts to build generic objects (intuitively objects that are somehow 'typical') by meeting dense sets. Also both techniques are elegantly described as a relation (customarily denoted $\Vdash$) between 'conditions' and sentences. However, where set theoretic forcing is usually interested in creating objects that meet every dense set of conditions in the ground model, recursion theoretic forcing only aims to meet dense sets that are arithmetically or hyperarithmetically definable. Therefore, some of the more difficult machinery used in set theoretic forcing can be eliminated or substantially simplified when defining forcing in recursion theory. But while the machinery may be somewhat different recursion theoretic and set theoretic forcing are properly regarded as an application of the same technique to different classes of formulas.

Usage examples of "forcing".

As he had for months now, Adams struggled to keep a balance with the need, on one hand, for all possible haste, and the need, on the other, to keep from pushing too fast, forcing events too soon.

The amphicyon glared in helpless rage at the small human sitting high above it, the human that was forcing, bending, compelling.

Hard and sweaty, he lay with his hands locked under his head, staring at the ceiling and forcing himself to concentrate on the mystery of where Jessica Adams, anchorwoman superstar and closet porn watcher, could be.

Light Horse regiments were called upon to take a position known as The Nek, a ridge about fifty yards wide at the Anzac front line and thirty yards or so at the Turkish trenches, so that any bayonet charge from our lines would have the effect of forcing troops into a bottleneck, concentrating their numbers for the Turkish machine guns and rifles.

Forcing himself from the luxury of the palace, he appeared in arms at the head of his legions, and advanced beyond the Po to encounter his competitor.

I told you of that Noe Ancona, the agent who served Hafner as a tool in selling up Ardea, and in thus forcing the marriage.

The wind blew, though, forcing wailing notes from the rock chimneys that studded the blasted land, a dirge Asherah could hear even over the crowd outside the caves.

Once a boggart is in the pit, it will stay there because the underside of the stone and the sides of the pit are coated with the mixture, forcing it to make itself small and stay within the boundaries of the space inside.

It continued like that for two weeks, waking at dawn for calisthenics and brainteasers, telling Katie my half-baked ideas about Colonna so that she would have to slow down to listen, then forcing myself to run faster so that she would have less time to tell me how I was wrong.

He acted with the same circumspection as he had in the Cagliari pits, forcing open crates and boxes, when this was necessary, with the greatest of care so that they could be closed again to show the absolute minimum of offered violence.

The clamps and weights still in place, he had forced her to squirm and writhe for an hour or more while he had tormented her, pulling on the weights until she was delirious with the sensations he was forcing her body to experience.

She was also forcing him to face his decision about her headon, right now, when he no longer was clearheaded enough to do so.

Fond of fine types, garments, draperies, colors, he was always seeking the sparkling rather than the true, and forcing artificial effects for the sake of startling one rather than stating facts simply and frankly.

We hoped that the Commonwealth citizenry would be sufficiently alarmed at the notion of Haluk doppelganger spies that they would pressure their Delegates interactively over the PlaNet, overriding the influence of the Concerns and forcing a review of the dubious treaties.

And the Great Leveller rode and continues to ride on the penalty of sin, forcing its retribution in the form of death on the acts of senseless execution and coldblooded murder.