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 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 definition is attributed to the 17th-century Dutch cartographer Petrus Plancius.

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 defenders argued that it was less cruel and dangerous than fox hunting, and one local newspaper asked " Who or what is this London Society that, usurping the place of constituted authorities, presumes to interfere with our ancient amusement?

Its underlying themes run counter to those in Lord Of the Flies, however, in that it shows a belief in the inherent strength of humans as proto-adults as they self-organize rather than descending into barbarism.

Its purpose is to provide a platform-independent programming environment that abstracts away details of the underlying hardware or operating system, and allows a program to execute in the same way on any platform.

Its underlying object system is class-based, but to users, during programming ( scripting ), it acts like it is prototype-based.

Its underlying political agenda is the succession of Mary Queen of Scots to the English throne, but its most outstanding feature is an allround attack on the Earl of Leicester.

Its power comes from exposing the underlying data sources as managed graphs of persistent objects.

Its underlying theme is quasi-religious: who did this?

Its many strophic songs and wonderful dances have great appeal for Danish audiences as has its underlying " old Copenhagen " atmosphere.

Its underlying technology was later improved for use in the Polachrome instant slide film system.

Its underlying rationale is that these amounts are seen as suitable price points for a whole range of products by prospective customers.

Its underlying rationale is that these amounts are seen as suitable price points for a whole range of products by prospective customers.

Its aim is to unveil the constructive activity underlying the description of mental phenomena.

Its flavor has been described as a combination of strawberry and pineapple with sour citrus flavor notes contrasting with an underlying creamy flavor reminiscent of coconut or banana.

Its aim is wholeness through the integration of unconscious forces and motivations underlying human behavior.

Its relatively high summit is a consequence of its location atop a high ridge, but its volcanic portion extends only above the underlying ridge.

Its underlying drawing platform was a resolution-independent object oriented retained mode system, making it much easier for programmers to perform common tasks ( compared to the original QuickDraw ).

Its architecture, mostly dating back to the 19th century, reflects the diverse influences underlying the Swahili culture, with a unique mixture of Arab, Persian, Indian and European elements.

Its main underlying idea is to define several quality criteria and check how a generated summary tackles each of these, in such a way that a reference model would not be necessary anymore, taking only into consideration the automatic summary and the original source.

Its mucous membrane is covered with transitional epithelium, and an underlying lamina propria of loose to dense connective tissue.

Its distinctive conical shape is the result of the hill's hard sandstone cap protecting the underlying shales and clays from erosion by the effects of ice, wind and rain.

Its main purposes were to analyse spells, to see if there were simpler " meta-spells " underlying them, and to help Stibbons with his study of " invisible writings ", by running the spells used to bring the writings into existence ( these spells must be cast rapidly, and each one can only be used once before the universe notices they shouldn't work ).

Its low rim is composed of loose pieces of basaltic lava and wall rocks ( sandstone, shale, limestone ) of the underlying diatreme, as well as random chunks of ancient crystalline rocks blasted upward from great depths.

Its underlying principles may be also be applied in a variety of clinical situations.

In Social Theory: Its Situation and its Task, Unger argues that classical social theory was born proclaiming that society is made and imagined and not the expression of an underlying natural order, but at the same time its capacity was checked by the equally prevalent ambition to create law-like explanations of history and social development.

Its remarkable success has led to naming the discovery of its underlying physiological basis as " potentially the most important medical advance the 20th century.