# Curl

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Related to curled: Curled hair, curled up

## curl

Maths a vector quantity associated with a vector field that is the vector product of the operator ∇ and a vector function A, where ∇ = i∂/∂x + j∂/∂by + k∂/∂z, i, j, and k being unit vectors. Usually written curl A, rot A

## Curl

of a vector field A, the vector characteristic of a “rotating component” of field A. The curl is represented by the symbol rot A. It can be interpreted in the following manner: Let A be the velocity field of a fluid flow. At a given point of the flow we place a small wheel with blades and orient its axis in the direction of rot A at that point. Then the angular velocity of the wheel’s rotation from the action of the current will be maximum, and its value will equal (| rot A |)/2. If the field A has the coordinates P(x, y, z), Q(x, y, z), and R(x, y, z), then the curl has the coordinates

E. G. POZNIAK

## curl

[kərl]
(forestry)
A block of timber cut from a crotch for cutting into veneers.
(materials)
A defect of paper caused by unequal alteration in the dimensions of the top and underside of the sheet.
(mathematics)
The curl of a vector function is a vector which is formally the cross product of the del operator and the vector. Also known as rotation (rot).

## curl

A winding, swirling, or circling in the grain of wood, usually obtained from the crotch or fork of a tree; also see fiddleback.

## Curl

(1) A programming environment for developing rich Internet applications (RIAs) from Curl, Inc., Cambridge, MA (www.curl.com). Conceived at MIT, Curl combines HTML markup with an object-oriented programming language. The user's machine requires the Curl runtime engine and browser plug-in for execution. The first Curl implementation was released in 2002. See RIA.

(2) (cURL) A command line utility for executing functions with URL-oriented protocols such as FTP and HTTP. Pronounced "C-URL," there are versions for Unix, Linux, Windows, Mac and other operating systems. For more information, visit http://curl.haxx.se.
References in classic literature ?
The last plant of all the row had captured the Woozy, and a big bunch in the center of the curled leaf showed plainly where he was.
So Tarzan came to his cabin unattended, and a few moments later was curled up in the mildewed remnants of what had once been a bed of grasses.
The dogs got nothing, though they watched with wistful mien from a distance, sitting up in the snow, their tails curled around their paws.
As it was, he tied on his snowshoes, left the dogs curled in the snow and Kama breathing heavily under his rabbit skins, and climbed up to the big flat above the high earth-bank.
Jerry roused to Skipper's entrance under the blanket, and, quite as if it were a long-established custom, curled in between his arm and side, and, after one happy sniff and one kiss of his cool little tongue, as Skipper pressed his cheek against him caressingly, dozed off to sleep.
The creature could bend either way, and its white toes now curled the same way the black ones on the other side had done.
IN THE WINTERTIME, a Dog curled up in as small a space as possible on account of the cold, determined to make himself a house.
All night it blew in short fitful puffs, heeling the great cog over until the water curled over her lee bulwarks.
On the few occasions when anything amused him, he curled up a little at the corners of the lips, nothing more.
The corners of the Sergeant's melancholy mouth curled up, and he looked hard in my face, just as he had looked in the garden.
Tulliver, desiring her daughter to have a curled crop, "like other folks's children," had had it cut too short in front to be pushed behind the ears; and as it was usually straight an hour after it had been taken out of paper, Maggie was incessantly tossing her head to keep the dark, heavy locks out of her gleaming black eyes,--an action which gave her very much the air of a small Shetland pony.

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