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

Its lyrics mimic the modern definition of Thermidor.

" 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 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.

Its lovely seventeenth-century ceiling frescoes, as well as the huge guards room with a tremendously high and beautifully carved wooden ceiling, can be seen Sundays ( 11:00 to 12:00 noon ).

Its the start of a direct threat to our own security and I don't believe we can permit that ''.

Its wide use can be attributed to its simplicity of design and manufacture, and the economy of creating it.

Its light weight and compact flat design make it easy to retrieve and relatively easy to store ; some anchor rollers and hawsepipes can accommodate a fluke-style anchor.

Its holding power is defined by its weight underwater ( i. e. taking its buoyancy into account ) regardless of the type of seabed, although suction can increase this if it becomes buried.

Its chemical and physical properties are so similar to that of natural amethyst that it can not be differentiated with absolute certainty without advanced gemnological testing ( which is often cost-prohibitive ).

Its sensitivity is 2 – 3 orders of magnitude higher than that of flame AAS, so that determinations in the low μg L-1 range ( for a typical sample volume of 20µL ) and ng g-1 range ( for a typical sample mass of 1 mg ) can be carried out.

Its light curve can be approximated by adding together a number of sine waves, with periods that range between 0. 8 and 1. 5 hours.

Its name can be connected to drum and bass or Miami Bass, whose influence can still be heard in Bass music's edgey raw energy.

Its hydroxide was known in pre-modern history as baryta ; this substance does not occur as a mineral, but can be prepared by heating barium carbonate.

Its subfields can be divided into practical techniques for its implementation and application in computer systems and purely theoretical areas.

Its members are formally referred to as carnivorans, while the word " carnivore " ( often popularly applied to members of this group ) can refer to any meat-eating organism.

Its popularity can in part be explained by its neoplatonic and Christian ethical messages, although current scholarly research is still far from clear exactly why and how the work became so vastly popular in the Middle Ages.

Its individual shells can be described as SWNTs, which can be metallic or semiconducting.

Its subfields can be divided into a variety of theoretical and practical disciplines.

Its supposed fundamental importance to life can be seen in words such as aspire, inspire, perspire and spirit, all derived from the Latin spirare.

Its main themes include isolation, how such a condition can be borne, and the internal conflict brought about by societal repression of individual desire.

Its sweat glands can be found in its haired skin surface, an unusual trait among rodents.

Its habitual gait is quadrupedal, using the soles of its feet and resting on its knuckles, but it can walk upright for short distances.

Its 35 rows can seat 5, 000 spectators.

Its claim to be " atheoretical " is held to be unconvincing because it makes sense if and only if all mental disorder is categorical by nature, which only a biological model of mental disorder can satisfy.

Its roots can be traced to the early church when the term " doctor " referred to the Apostles, church fathers and other Christian authorities who taught and interpreted the Bible.