Crossword Dictionary

What's The Definition Of Fix?

\Fix\ (f[i^]ks), a. [OE., fr. L. fixus, p. p. of figere to fix; cf. F. fixe.] Fixed; solidified. [Obs.] --Chaucer.
\Fix\, v. t. [imp. & p. p. {Fixed} (f[i^]kst); p. pr. & vb. n. {Fixing}.] [Cf. F. fixer.] 1. To make firm, stable, or fast; to set or place permanently; to fasten immovably; to establish; to implant; to secure; to make definite. An ass's nole I fixed on his head. --Shak. O, fix thy chair of grace, that all my powers May also fix their reverence. --Herbert. His heart is fixed, trusting in the Lord. --Ps. cxii. 7. And fix far deeper in his head their stings. --Milton. 2. To hold steadily; to direct unwaveringly; to fasten, as the eye on an object, the attention on a speaker. Sat fixed in thought the mighty Stagirite. --Pope. One eye on death, and one full fix'd on heaven. --Young. 3. To transfix; to pierce. [Obs.] --Sandys. 4. (Photog.) To render (an impression) permanent by treating with such applications as will make it insensible to the action of light. --Abney. 5. To put in order; to arrange; to dispose of; to adjust; to set to rights; to set or place in the manner desired or most suitable; hence, to repair; as, to fix the clothes; to fix the furniture of a room. [Colloq. U.S.] 6. (Iron Manuf.) To line the hearth of (a puddling furnace) with fettling. Syn: To arrange; prepare; adjust; place; establish; settle; determine.
\Fix\, v. i. 1. To become fixed; to settle or remain permanently; to cease from wandering; to rest. Your kindness banishes your fear, Resolved to fix forever here. --Waller. 2. To become firm, so as to resist volatilization; to cease to flow or be fluid; to congeal; to become hard and malleable, as a metallic substance. --Bacon. {To fix on}, to settle the opinion or resolution about; to determine regarding; as, the contracting parties have fixed on certain leading points.
\Fix\, n. 1. A position of difficulty or embarassment; predicament; dilemma. [Colloq.] Is he not living, then? No. is he dead, then? No, nor dead either. Poor Aroar can not live, and can not die, -- so that he is in an almighty fix. --De Quincey. 2. (Iron Manuf.) fettling. [U.S.]
fix :: (a -> a) -> a fix f = f (fix f)
fix f = x such that f x = x.
fix = \ h . (\ x . h (x x)) (\ x . h (x x))
f x1 .. xN = E
f = fix (\ f . \ x1 ... \ xN . E) = (\ f . \ x1 ... \xN . E) (fix (\ f . \ x1 ... \ xN . E)) = let f = (fix (\ f . \ x1 ... \ xN . E)) in \ x1 ... \xN . E
f = \ x1 ... \ xN . E
ones = fix (\ ones . 1 : ones) = (\ ones . 1 : ones) (fix (\ ones . 1 : ones)) = 1 : (fix (\ ones . 1 : ones)) = 1 : 1 : ...