# fix

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## fix

Nautical, etc the ascertaining of the navigational position, as of a ship, by radar, observation, etc.
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## FIX.

On drawings, abbr. for fixture.
McGraw-Hill Dictionary of Architecture and Construction. Copyright © 2003 by McGraw-Hill Companies, Inc.

## 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 ?
She will soon learn there are a number of decisions needing to be taken and the spotlight will be firmly fixed upon her.
That one shriek is all she can utter - with hand clasped, a face of marble, a heart beating so wildly in her bosom, eyes distended and fixed upon the window, she froze with horror.
Unfortunately, it is evident from the Notice that the Commission has already fixed upon an answer before the record has been compiled."
When one eye is fixed upon your destination, there is only one eye left with which to find the Way." /// nCa
Its huge mouth was like a hippo's, only it had prominent teeth, and its eyes were wide and fixed upon the terror-stricken nurse.
First, it argued that the discounts accumulated but not applied by year's end satisfied the all-events test because its liability for the discounts became fixed upon their issuance at checkout.
And then I notice the gator's black eyes fixed upon me - a spooky and breathtaking sight.
Our commitment has waned, and we head to the sidelines until the following week when we sit again with our eyes and ears fixed upon our religious leaders.
Using a rather permissive definition, Bezhanova categorizes Tusquets's novel about a fifty-year-old woman as an "unlikely Bildungsroman"--but nonetheless an example of the genre, since it is "fixed upon the anxieties of growth and aging" (92).
The court determined that the liability and corresponding deduction for outstanding credits became fixed upon their redemption, not when the customer earned them.
She puckers for a crowd of vinegar, eyes fixed upon the

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