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extension and definition
An extensional definition, also called a denotative definition, of a concept or term specifies its extension.
Extension blocks ( blocks that " extend " the 87a definition via a mechanism already defined in the 87a spec ) consist of the sentinel, an additional byte specifying the type of extension, and a linked list of sub-blocks with the extension data.
A group action is an extension to the definition of a symmetry group in which every element of the group " acts " like a bijective transformation ( or " symmetry ") of some set, without being identified with that transformation.
Many such people believed in the idea that the United States is by definition benevolent, that the extension of its power, influence and hegemony is an extension of benevolence and brings freedom to those people subject to that hegemony.
However, as this article is examining preorders as a logical extension of non-strict partial orders, the current definition is more intuitive.
* Choice Corollary: People choose for themselves the particular alternative in a dichotomized construct through which they anticipate the greater possibility for extension and definition of their system.
Debates concerning the nature, essence and the mode of existence of space date back to antiquity ; namely, to treatises like the Timaeus of Plato, or Socrates in his reflections on what the Greeks called khora ( i. e. " space "), or in the Physics of Aristotle ( Book IV, Delta ) in the definition of topos ( i. e. place ), or even in the later " geometrical conception of place " as " space qua extension " in the Discourse on Place ( Qawl fi al-Makan ) of the 11th century Arab polymath Alhazen.
On the other hand, it is possible to give a local definition in terms of the natural extension f *, see below.
It can mean different things in different cases, and there is no universal definition of the term " extension ".
Bowling the ball is distinguished from simply throwing the ball by a strictly specified biomechanical definition which restricts the angle of extension of the elbow.
Disagreements about the sector principle or extension of territory to the North Pole and to the definition of internal waters in the Arctic lie behind differences in territorial claims in the Arctic.
The section of road that is now I-238 had no signed number before the 1964 renumbering ; it was pre-1964 Legislative Route 228 ( along with an unbuilt extension west to unbuilt State Route 61, which is still included in the Route 238 definition ).
Z ++ is an object-oriented extension to the Z specification language, allowing for the definition of classes, and the relation of classes through inheritance, association or aggregation.
This definition indicates that a critical element of the U. S. psychological operations capabilities includes propaganda and by extension counterpropaganda.
The exact definition, giving the criteria for deciding what part of the file name is its extension, belongs to the rules of the specific filesystem used ; usually the extension is the substring which follows the last occurrence, if any, of the dot character ( example: is the extension of the filename, the extension of ).
Any cyclotomic extension ( for either definition ) is abelian.
In languages that do not support multiple dispatch at the language definition or syntactic level, it is often possible to add multiple dispatch using a library extension.
* Complex Lie algebras: The definition of a simple Lie algebra is not stable under the extension of scalars.

extension and is
The American-Negro Suite is in a sense an extension of the Cotton Club songs in that it is a collection of Negro songs, not for a night club, but for the concert stage.
You should make any request for an extension early so that if it is refused, your return may still be on time.
An extension of 2 months beyond the regular due date for filing is also available to taxpayers making returns for a fiscal year.
Such interest must be paid even though an extension of time for filing is granted.
( To avoid any possible excuse for a dripping parade through your house, it is a good idea to have a telephone extension near the pool as well as a direct outdoor route between the pool, and the parking area.
The observational data determining the concentration distribution have a range of error which is magnified in the extension into the micrometeorite region.
The other misconception is that our ecumenical problems will be solved if only the knowledge of the church in its world-wide extension and its interdenominational connections, now comprehended by many national leaders, can be communicated to all congregations.
In general, friendly contact with a member followed by contact with a clergyman will account for a major share of recruitment by the churches, making it quite evident that the extension of economic integration through co-optation is the principal form of mission in the contemporary church ; ;
`` The important thing from now on '', he said, `` is not to mourn the past but to seize the future opportunity to prevent the loss in northern Viet Nam from leading to the extension of Communism throughout Southeast Asia ''.
The " tail " is only possessed by the male and is an extension of the cloaca and used to inseminate the female.
Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.
In the case of a Galois extension L / K the subgroup of all automorphisms of L fixing K pointwise is called the Galois group of the extension.
An extension of this is the sacred cockfight, ” a popular form of fertility worship among almost all Southeast Asians ” considered by some in the Judeo-Christian ethic as a form of ’ fertility worship ’ or Baalim.
The more humid regions have a richer vegetation ; dense forest where the rainfall is greatest and variations of temperature least, conditions found chiefly on the tropical coasts, and in the west African equatorial basin with its extension towards the upper Nile ; and savanna interspersed with trees on the greater part of the plateaus, passing as the desert regions are approached into a scrub vegetation consisting of thorny acacias, etc.
Also from there is the word bung, from the Sydney pidgin English ( and ultimately from the Sydney Aboriginal language ), meaning " dead ", with some extension to " broken " or " useless ".
In abstract algebra, a field extension L / K is called algebraic if every element of L is algebraic over K, i. e. if every element of L is a root of some non-zero polynomial with coefficients in K. Field extensions that are not algebraic, i. e. which contain transcendental elements, are called transcendental.
For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

extension and also
Taxpayers residing or traveling in Alaska are also allowed this extension of time for filing, but those residing or traveling in Hawaii are not allowed this automatic extension.
Military or Naval Personnel on duty in Alaska or outside the United States and Puerto Rico are also allowed this automatic extension of time for filing their returns.
but sometimes arrangements also are made for high school students to attend, and evening extension courses also may be conducted.
A prospective industry also may be interested in the long-run advantages of training programs in the area to supply future skilled workers and provide supplementary extension courses for its employees.
Aalto also entered several architectural competitions for prestigious state public buildings, both in Finland and abroad, including the two competitions for the Finnish Parliamentary building in 1923 and 1924, the extension to the University of Helsinki in 1931, and the building to house the League of Nations in Geneva, Switzerland, in 1926-27.
Each of it phases largely an extension of the earlier phase, it left also heavy impact on the architecture of other nations.
To see this, note that if L is any algebraic extension of K, then the algebraic closure of L is also an algebraic closure of K, and so L is contained within the algebraic closure of K.
To clarify, when one says that the Lebesgue measure is an extension of the Borel measure, it means that every Borel measurable set E is also a Lebesgue measurable set, and the Borel measure and the Lebesgue measure coincide on the Borel sets ( i. e., for every Borel measurable set ).
By extension, the term is also used to refer to any system administrator who displays ( or wishes he could get away with ) the qualities of the original.
Aside from the role of governments and the church, the history of copyright law is in essential ways also connected to the rise of capitalism and the attendant extension of commodity relations to the realm of creative human activities, such as literary and artistic production.
Loyalty was also an extension of one's duties to friends, family, and spouse.
Approaching the minimum of the solar cycle ( also named butterfly cycle ), the extension of the quiet Sun increases until it covers the whole disk surface excluding some bright points on the hemisphere and the poles, where there are the coronal holes.
Differential topology also deals with questions like these, which specifically pertain to the properties of differentiable mappings on R < sup > n </ sup > ( for example the tangent bundle, jet bundles, the Whitney extension theorem, and so forth ).
Several of the Pokémon games have also received director's cuts and have used the term " extension ," though " remake " and " third version " are also often used by many fans.
The word also means to subjugate or persecute by the imposition of troops ; and by extension to compel by any violent measures or threats.
The most expensive metal lever systems also give the player the ability to " lock " down notes on the extension fingerboard, as with the wooden " finger " system.
Cities and Knights can also be combined with the Seafarers of Catan expansion or with Catan: Traders & Barbarians scenarios ( again, five to six player play only possible with the applicable five to six player extension ( s )).
Seafarers provides scenarios for four players ( the older third edition had separate maps for three-and four-player versions of the scenarios ), while the extension provides scenarios for six players ( the older third edition also included separate maps for five-and six-player scenarios ).
A school voucher, also called an education voucher, is a certificate issued by the government, which parents can apply toward tuition at a private school ( or, by extension, to reimburse home schooling expenses ), rather than at the state school to which their child is assigned.
The paradox is further extended when one considers that – despite his claims of spiritual authority over Philemon – Paul frames himself – and, by extension, both Philemon and Onesimus – as fellow bondservants of Christ, who being their spiritual master, is also their brother and equal.

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