Its domain is the powerset of A ( with the empty set removed ), and so makes sense for any set A, whereas with the definition used elsewhere in this article, the domain of a choice function on a collection of sets is that collection, and so only makes sense for sets of sets.

Its official definition, edited by Woodward, Wetherall and Gorman, was first published in 1970.

Its detailed definition depended on Simon Newcomb's Tables of the Sun ( 1895 ), interpreted in a new way to accommodate certain observed discrepancies:

Its best-known decision is its definition of papal infallibility.

Its definition presumes an underlying and reliable transport layer protocol, and Transmission Control Protocol ( TCP ) predominates for this purpose.

Its definition varies according to the tradition and aims of those following it, from its religious origin as an integral part of Judaism, to its later Christian, New Age, or Occultist syncretic adaptions.

Its definition includes a method to register new content types and other MIME attribute values.

Its best known definition comes from Aristotle, who considers it a counterpart of both logic and politics, and calls it " the faculty of observing in any given case the available means of persuasion.

Its Citizenship Clause provides a broad definition of citizenship that overruled the Supreme Court's ruling in Dred Scott v. Sandford ( 1857 ) that had held that black people could not be citizens of the United States.

Its definition does not cover final status.

Its operational definition of Palestine refugee for persons qualifying for UNRWA assistance says " whose normal place of residence was Palestine during the period 1 June 1946 to 15 May 1948, and who lost both home and means of livelihood as a result of the 1948, and 1967 conflicts ," descendants are also eligible for registration.

Its purposes to achieve the reformation of the church, the definition of dogma and the reunion of Christendom.

Its initial political stance – in the June 1919 Manifesto – includes, however, many elements that would not be normally associated with fascism in the classic definition, including support for democracy ( indeed, the fascist manifesto actually called for greater democratic rights ) and a limited number of social ideas.

Its value depends on the measurement conditions that need to be documented, whereas the IP according to definition is mostly unambiguous ; although there is some dependency on frequency and tone spacing, depending on the physics of the device-under-test.

Its first recorded use in English was in 1625 as atollon-Charles Darwin recognized its indigenous origin and coined, in his The Structure and Distribution of Coral Reefs, the definition of atolls as ".. circular groups of coral islets [...] and word is synonymous with ' lagoon-island '.

" Its value lies in the increased degree of precision and diversification made possible: Although the id is unconscious by definition, the ego and the super-ego are both partly conscious and partly unconscious.

Its most familiar modern uses are in the fields of transport, building and construction, communications, mapping, and the definition of legal boundaries for land ownership.

Its data definition language, unlike its executable statements, was not English-like ; rather, data structures were defined by filling in pre-printed forms.

Its definition varies: it can refer to only the superficial structures in this region, or it can be used to include both superficial and deep structures.

Its usual symbols are,, σ or k, the first three used for one definition, the last for another.

Its lyrics mimic the modern definition of Thermidor.

Its definition can be extended to include investments made to acquire lasting interest in enterprises operating outside of the economy of the investor.

" Its brief definition of " open standard " ( or " free and open standard ") is " a published specification that is immune to vendor capture at all stages in its life-cycle.

" Its more complete definition as follows:

Its pretense to operate in the public interest is little more than a sham.

Its ontological status is itself most tenuous because apart from individual men, who are its `` matter '', tradition, the `` form '' of society exists only as a shared perception of truth.

Its massive contours are rooted in the simple need of man, since he is always incomplete, to complete himself.

Its truth is illustrated by the skill, sensitivity, and general expertise of the English professor with whom one attends the theatre.

Its success is a tribute, above all, to Trevelyan's brilliance as a literary stylist.

Its sphere is that of royal courts, dynastic quarrels, and vaulting ambitions.

Its primary advantage is that it is a moral choice ; ;

Its elimination would result in the saving of interest costs, heavy when short-term money rates are high, and in freedom from dependence on credit which is not always available when needed most.

Its original appearance is shown in an engraving published in the `` Massachusetts Magazine '' in May 1793, which is reproduced herewith ( Fig. 1 ).

Its oil for heating is metered monthly to each home from a line that starts at a central storage point.

Its president is Otis M. Waters, partner in the law firm of Timen & Waters, 540-K Chrysler Bldg., New York City.

Its life history is much simpler than that of the truly colonial bumblebees and can serve as an example of the life cycle of many other species.

Then in 2 we show that any line involution with the properties that ( A ) It has no complex of invariant lines, and ( B ) Its singular lines form a complex consisting exclusively of the lines which meet a twisted curve, is necessarily of the type discussed in 1.

Its function is to separate from the base ruled mass, among whom private ownership prevails, the governing warrior elite.

Its scope is as broad as the question: What does it mean to live in modern society??

Its speed has increased, it operates at increasingly greater depths, its submerged endurance is becoming unlimited, and it will become even more silent.

Its rotunda forms a perfect circle whose diameter is equal to the height from the floor to the ceiling.

Its abstract decor is by John Hultberg.

Its size is determined by its function as a glycogen and fat storage unit, and may change with the seasons as these reserves are built or used up.

Its usage is mostly restricted to engravings on stone and jewelry, although inscriptions have also been found on bone and wood.

Its body is stout with an arched back and is sparsely covered with coarse hairs.

Its name is Latin for " water-carrier " or " cup-carrier ", and its symbol is 20px (), a representation of water.