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.

for example, the mode of bravery to this anonymous folk poem: `` They brought me news that Spring is in the plains And Ahmad's blood the crimson tulip stains ; ;

For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

This almost trivial example is nevertheless suggestive, for there are some elements in common between the antique fear that the days would get shorter and shorter and our present fear of war.

Perhaps the most illuminating example of the reduction of fear through understanding is derived from our increased knowledge of the nature of disease.

Beckett's own work is an example.

If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.

His name is Praisegod Piepsam, and he is rather fully described as to his clothing and physiognomy in a way which relates him to a sinister type in the author's repertory -- he is a forerunner of those enigmatic strangers in `` Death In Venice '', for example, who represent some combination of cadaver, exotic, and psychopomp.

Gustaf Vasa is a superb example, and Charles 10,, the conqueror of Denmark, hardly less so.

For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??

In the extreme and oversimplified example suggested in Figure 3, the organization is more easily understood and more predictable in behavior.

The assumptions upon which the example shown in Figure 3 is based are: ( A ) One man can direct about six subordinates if the subordinates are chosen carefully so that they do not need too much personal coaching, indoctrinating, etc..

This is an unsolved problem which probably has never been seriously investigated, although one frequently hears the comment that we have insufficient specialists of the kind who can compete with the Germans or Swiss, for example, in precision machinery and mathematics, or the Finns in geochemistry.

In the calm which follows the reading of a poem, for example, is the effect produced by the enforced quiet, by the musical quality of words and rhythm, by the sentiments or sense of the poem, by the associations with earlier readings, if it is familiar, by the boost to the self-esteem for the semi-literate, by the diversion of attention, by the sense of security in a legitimized withdrawal, by a kind license for some variety of fantasy life regarded as forbidden, or by half-conscious ideas about the magical power of words??

English philosopher Samuel Alexander's debt to Wordsworth and Meredith is a recent interesting example, as also A. N. Whitehead's understanding of the English romantics, chiefly Shelley and Wordsworth.

In his book Civilization And Ethics Albert Schweitzer faces the moral problems which arise when moral law is recognized in business life, for example.

Easily the best known of these three novels is The Space Merchants, a good example of a science-fiction dystopia which extrapolates much more than the impact of science on human life, though its most important warning is in this area, namely as to the use to which discoveries in the behavioral sciences may be put.

And to do this requires first of all the kind of information about people which is provided by the scientists in industrial anthropology and consumer research, who, for example, tell Courtenay that three days is the `` optimum priming period for a closed social circuit to be triggered with a catalytic cue-phrase '' -- which means that an effective propaganda technique is to send an idea into circulation and then three days later reinforce or undermine it.

One specific example is a secret `` fraternity '' which will `` coordinate anti-Communist efforts ''.