# fix

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## fix

Nautical, etc the ascertaining of the navigational position, as of a ship, by radar, observation, etc.

## fix

[fiks]
(biology)
To kill, harden, or preserve a tissue, organ, or organism by immersion in dilute acids, alcohol, or solutions of coagulants.
(computer science)
A piece of coding that is inserted in a computer program to correct an error.
A position of a vessel or craft determined by its master, pilot, or navigator through the use of some or all of the equipments and techniques available.

## FIX.

On drawings, abbr. for fixture.

## fix

i. A geographical position determined by visual reference to the surface, by reference to one or more radio navigational aids, by celestial plotting, or by other navigational plotting, including obtaining it by intersecting two or more position lines. In navigation, a relatively accurate position determined without reference to any former position. It can be classified as visual, sonic, celestial, electronic, radio, hyperbolic, LORAN (long-range navigation), radar, etc., depending upon the means of establishing it.
ii. In photography, to render a photographic emulsion permanent by removing the unaffected light-sensitive material.

(networking)

## fix

(3)
1. <mathematics> The fixed point combinator. Called Y in combinatory logic. Fix is a higher-order function which returns a fixed point of its argument (which is a function).

fix :: (a -> a) -> a fix f = f (fix f)

Which satisfies the equation

fix f = x such that f x = x.

Somewhat surprisingly, fix can be defined as the non-recursive lambda abstraction:

fix = \ h . (\ x . h (x x)) (\ x . h (x x))

Since this involves self-application, it has an infinite type. A function defined by

f x1 .. xN = E

can be expressed as

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

If f does not occur free in E (i.e. it is not recursive) then this reduces to simply

f = \ x1 ... \ xN . E

In the case where N = 0 and f is free in E, this defines an infinite data object, e.g.

ones = fix (\ ones . 1 : ones) = (\ ones . 1 : ones) (fix (\ ones . 1 : ones)) = 1 : (fix (\ ones . 1 : ones)) = 1 : 1 : ...

Fix f is also sometimes written as mu f where mu is the Greek letter or alternatively, if f = \ x . E, written as mu x . E.

Compare quine.
References in periodicals archive ?
The funding was supplied in two phases, with the earnout getting fixed upon closing at the same rate.
MCP s system will be fixed upon the 108 metres long, 22 metres wide offshore construction vessel upon completion at Kleven s yard in Ulsteinvik, Norway.
For a group of fundamentalists fervently fixed upon the past, they certainly cannot read history.
By contrast, Byron's most notorious lover, Lady Caroline Lamb, in her autobiographical novel Glenarvon (1816), compared the gaze of its hero, Lord Glenarvon (modelled on Byron), to that of a rattlesnake that 'once fixed upon its victim, overpowers it with terror and alarm [so that it is] unable to fly from its fascination.
In the Kingdom of Christ, that is, it seemed to Us that peace could not be more effectually restored nor fixed upon a firmer basis than through the restoration of the Empire of Our Lord.
And there I spy him with more arms and legs Than in any dream, Eyes fixed upon me, he stays still as I panic With a full head of steam, I jump out of bed dancing around, screaming, Till panic over I lift the clothes, And there Sid the spider waits, till I decide his Fate - he knows, With bravery unknown I get Sid on to a piece Of toilet tissue, Carefully I carry him to the bathroom and Chuck him down the loo, I'm ashamed, so sorry in my panic, as tonight I solemnly pray for Sid, You see he'd survived his swim, but I accidentally Squashed him with the toilet lid PS - I honestly did
The company stated the interest rate for borrowings under the loan facility will be fixed upon draw down at a rate per annum equal to the greater of 7.
Proudhon lamented that the reformers 'always start out with their gaze fixed upon the past' (p.
Once the photos were selected, labelled and saved digitally, the images were fixed upon squares of cloth using the same process whereby images are placed on T-shirts.
In a country he once humiliated by scoring a famous hat-trick for England, Owen once again had eyes fixed upon him, but his horse, sent off a heavily-backed 2.
Things that might seem to be doctrines, positions, theses, such as der Wille zur Macht and die ewige Wiederkunft des Gleichen, get fixed upon (even by Heidegger), though Nietzsche does not devote treatises, discourses, or even articles to them, but instead sows them in books of witty aphorisms, dark thoughts, and frolicsome appreciations, and then, surprise, they bloom in a lyrical epic, Zarathustra.
The 25-year-old chased home the Kenyan pair to take a massive two seconds off his 1500m PB at a specially organised event by Trafford AC on Monday night and now has his eyes fixed upon World Championship glory in late August despite being surrounded by hype and anticipation for next year's London Olympics.

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