Other synonyms could of course serve the same function, and for the sake of ease I shall speak of kennings and epithets in the widest and loosest possible sense, and name, for example, Gar-Dene a kenning for the Danes.

A still weaker example is the axiom of countable choice ( AC < sub > ω </ sub > or CC ), which states that a choice function exists for any countable set of nonempty sets.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

These modifications are often essential for the function or regulation of a protein ; for example, the carboxylation of glutamate allows for better binding of calcium cations, and the hydroxylation of proline is critical for maintaining connective tissues.

The term can also refer to an establishment which has long ceased to function as an abbey, in some cases for centuries ( for example, see Westminster Abbey below ).

For example, the parent function y = 1 / x has a horizontal and a vertical asymptote, and occupies the first and third quadrant, and all of its transformed forms have one horizontal and vertical asymptote, and occupies either the 1st and 3rd or 2nd and 4th quadrant.

Its function is to control the expulsion of feces, unwanted semi-solid matter produced during digestion, which, depending on the type of animal, may be one or more of: matter which the animal cannot digest, such as bones ; food material after all the nutrients have been extracted, for example cellulose or lignin ; ingested matter which would be toxic if it remained in the digestive tract ; and dead or excess gut bacteria and other endosymbionts.

For example, for the function

A common example of a vertical asymptote is the case of a rational function at a point x such that the denominator is zero and the numerator is non-zero.

An example of such a function would be

For example the arctangent function satisfies

For example, the function has a horizontal asymptote at y = 0 when x tends both to −∞ and +∞ because, respectively,

For example, the function has

An example of an arithmetic function is the non-principal character ( mod 4 ) defined by

In the above example, a prototype is used in a function declaration for ANSI compliant implementations, while an obsolescent non-prototype declaration is used otherwise.

For example, the division example above may also be interpreted as a partial binary function from Z and N to Q, where N is the set of all natural numbers, including zero.

For example, one definition of bandwidth could be the range of frequencies beyond which the frequency function is zero.

A BMX bike, an example of a bicycle designed for sport Bicycles can be categorized in different ways: e. g. by function, by number of riders, by general construction, by gearing or by means of propulsion.

For example, methods to locate a gene within a sequence, predict protein structure and / or function, and cluster protein sequences into families of related sequences.

Compact and notebook keyboards often have the key mapped to a function command: for example.

For example, kinship and leadership function both as symbolic systems and as social institutions.

This vector can be expressed as a function of the particle position in some reference configuration, for example the configuration at the initial time, so that

An example of this phenomenon is Dirichlet's theorem, to which it was originally applied by Heine, that a continuous function on a compact interval is uniformly continuous: here continuity is a local property of the function, and uniform continuity the corresponding global property.

Alien influences have also, for example, trapped the Doctor's TARDIS and drained its power in " The Web Planet " ( 1965 ) and " Death to the Daleks " ( 1974 ), while its course has been diverted by " The Keeper of Traken " ( 1981 ), the " Mandragora Helix " ( 1976 ) and by the Daleks ' " time corridor " in " Resurrection of the Daleks " ( 1984 ).

This particular example was a sort of corridor and meeting-place for patrician members of the Great Council in the intervals between their discussions of government business.

This can mean that people, cars, buildings, etc., look smaller or larger than they should be, or that distances look incorrect ; for example a corridor may appear to be very long, or the ground may appear too close.

For example, the organ in the ballroom is back-to-back with a number of crypts in the graveyard, and the back of the loading area shares a wall with the endless corridor.

For example, whenever people pass each other in a corridor or thoroughfare, there is a need for customs, which avoid collisions.

A second example, some species of bird depend on water, usually a river, swamp, etc., or water related forest and live in a river corridor.

A separate example of a river corridor would be a river corridor that includes the entire drainage, having the edge of the range delimited by mountains, or higher elevations ; the river itself would be a smaller percentage of this entire wildlife corridor, but the corridor is created because of the river.

A further example of a bird wildlife corridor would be a mountain range corridor.

The corridor made a hairpin turn halfway along its length, making it an example of a bent entrance.

In the Andes, it migrates along a narrow corridor and rarely strays off course ; for example, it was only recorded in the Serranía de las Quinchas of Colombia – just 100 km or so off its usual migration route – in 2000 / 2001.

An example of the latter is the use of electric locomotives by Amtrak and commuter railroads in The Northeast ( e. g. New Jersey Transit New York corridor uses ALP-46 electric locomotives, due to the prohibition on diesel operation in the Hudson and East River Tunnels leading to Penn Station ).

Spring Mountain Road was once a run-down corridor with strip clubs, but Chinatown Plaza and other adjacent power centers have emerged as an archetypal example of immigrants taking an old neighborhood given up for dead by the previous residents and reviving it with major investments as a bustling center of ethnic minority commerce.

For example, an occupancy sensor controlling lights in an office should not detect motion in the corridor outside the office.

For example, the western part of Roslindale blends seamlessly with West Roxbury's one and two family residences and tree lined streets ; and Roslindale's northern area consists of dense two and three family residences amidst light industrial buildings similar to the adjacent Stony Brook corridor in Jamaica Plain.

There is a possibility for some passengers ( for example, those allergic to perfume ) to ask security to use a narrow corridor which bypasses the shop.

By " his magnificent example the corridor was kept open and the Brigade was able to march through ".

The most notable example of quadruple track in the United States, and perhaps the only four-track section of mainline therein, was the Pennsylvania Railroad's main corridor through the heart of Pennsylvania around the famous Horseshoe Curve.

An example is the value of willow ( Salix albaXfragilis ) in a Victorian stream corridor for beneficial sediment and phosphorus capture.

For example, if there is a wide corridor in a forest such as a trail, the trap should be oriented with its opening to the corridor.

The Devon Avenue corridor on Chicago's north side is an example of this, as it is one of the largest South Asian neighborhoods in North America.