Informally put, the axiom of choice says that given any collection of bins, each containing at least one object, it is possible to make a selection of exactly one object from each bin.

Informally, it is a permutation of the group elements such that the structure remains unchanged.

Informally, it is the similarity between observations as a function of the time separation between them.

Informally, this is true because polynomial time algorithms are closed under composition.

Informally, an object is reachable if it is referenced by at least one variable in the program, either directly or through references from other reachable objects.

Informally, a relational database table is often described as " normalized " if it is in the Third Normal Form.

Informally, a graph is a good expander if it has low degree and high expansion parameters.

Informally, Kajang is known as the " Satay Town ", and is famous among tourists and locals alike.

Informally we can think of elements of the Lie algebra as elements of the group that are " infinitesimally close " to the identity, and the Lie bracket is something to do with the commutator of two such infinitesimal elements.

Informally, a measure has the property of being monotone function | monotone in the sense that if A is a subset of B, the measure of A is less than or equal to the measure of B.

Informally, word formation rules form " new words " ( that is, new lexemes ), while inflection rules yield variant forms of the " same " word ( lexeme ).

Informally speaking, the prime number theorem states that if a random integer is selected in the range of zero to some large integer N, the probability that the selected integer is prime is about 1 / ln ( N ), where ln ( N ) is the natural logarithm of N. For example, among the positive integers up to and including N = 10 < sup > 3 </ sup > about one in seven numbers is prime, whereas up to and including N = 10 < sup > 10 </ sup > about one in 23 numbers is prime ( where ln ( 10 < sup > 3 </ sup >)= 6. 90775528. and ln ( 10 < sup > 10 </ sup >)= 23. 0258509 ).

Informally, he may have been known as " Dickon ", according to a sixteenth-century legend of a note, warning of treachery, that was sent to the Duke of Norfolk on the eve of Bosworth: " Jack of Norffolke be not to bolde ,/ For Dyckon thy maister is bought and solde ".

Informally the word is also used to describe a procedure or process with a specific purpose.

Informally, a permutation of a set of objects is an arrangement of those objects into a particular order.

Informally, a set of strategies is a Nash equilibrium if no player can do better by unilaterally changing his or her strategy.

Informally, such Brachyceran larvae are called maggots, but the term is nontechnical and often applied indifferently to fly larvae or insect larvae in general.

** Informally, the name often used for the entire West Coast Region, of which the Westland District is a part

Informally, the term is often applied in a joking manner to describe any horse that acts up and bucks with or without a rider.

Informally, technicians often call setting jumpers " strapping ".

Informally, reification is often referred to as " making something a first-class citizen " within the scope of a particular system.

Informally, in the tradition of the Afro-Brazilian syncretic religion Umbanda, Sebastian is often associated with Oxossi, especially in the state of Rio de Janeiro itself.

Informally it can be considered more widely: from a post-colonial form of amical protection, or protectorate, to confederation of unequal members when the lesser partner ( s ) delegate to the major one ( often the former colonial power ) some authority normally exclusively retained by a self-governing state, often in such fields as defence and foreign relations, while often enjoying favorable economic terms such as market access.

Informally it was often referred as Stavropol-on-Volga (, Stavropol-na-Volge ) to distinguish from Stavropol, a large city in southwest Russia.

Informally, the non-commissioned officers with portepee are often called " the Feldwebel ranks " or even altogether Feldwebel, which creates a similar confusion as exists already with the word Unteroffizier.

Informally, the Chief Mate will often simply be called " The Mate.

Informally, the creole is known by the term dialect, as the creole is often perceived by locals as a dialect variety of English instead of an English creole language.

Informally referred to as the M6 " Classic " to distinguish it from the " M6 TTL " models, and to indicate its " Classic " M3 dimensions.

Informally, asphalt concrete is also referred to as " blacktop ", particularly in North America.

Informally, Chinatown residents referred to Pagoda Street in Chinese as " back of the Indian place of worship.

Informally referred to as a Chinese barbecue sauce.

Informally referred to as the M6 " Classic " to distinguish it from the " M6 TTL " models, and to indicate its " Classic " M3 dimensions.

Informally, the Houston Cougars have also been referred to as the Coogs, UH, or simply Houston.

Informally referred to as Temple Law School, the school is located at the Main Campus of Temple University in Philadelphia, Pennsylvania.

Informally referred to as the " Tom Dempsey Rule.

Informally, " a simply connected h-cobordism is a cylinder ".

Informally, it states that " A random variable that depends in a Lipschitz way on many independent variables ( but not too much on any of them ) is essentially constant ".

Informally, a weakly simple polygon is a polygon in which some sides can " touch " but cannot " cross over ".

Informally, the term " evening " is used in place of " night ", especially in the context of an event which takes place over the course of said " evening ".

) Informally, the elements of V < sup > B </ sup > are " Boolean-valued sets ".

For one thing, this is not a subject often discussed or analyzed.

But more important, and the thing which the casual traveler and the blind sojourner often do not see, is that these places and activities are often the settings in which Persians exercise their extraordinary aesthetic sensibilities.

Yet within this limitation there is an astonishing variety: design as intricate as that in the carpet or miniature, with the melodic line like the painted or woven line often flowing into an arabesque.

Yet often fear persists because, even with the most rigid ritual, one is never quite free from the uneasy feeling that one might make some mistake or that in every previous execution one had been unaware of the really decisive act.

`` Most often '', she says, `` it's the monogamous relationship that is dishonest ''.

If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.

It is often stated that Copernican astronomy is ' simpler ' than Ptolemaic.

1543 A.D. is often venerated as the birthday of the scientific revolution.

But when these expectations are once too often ground into the dust, innocence can falter, since its strength is according to the strength of him who possesses it.

Next I refer to our program in space exploration, which is often mistakenly supposed to be an integral part of defense research and development.

The relatively long and often colorful selections in this anthology enable the reader to become genuinely absorbed in what is said, whether he responds with anger or applause.

The continuities, contrasts, and similarities discernible when past and present are surveyed together are inexhaustible and the one is often understood through the other.

It is true that this distinction between style and idea often approaches the arbitrary since in the end we must admit that style and content frequently influence or interpenetrate one another and sometimes appear as expressions of the same insight.

The volume is a piece of passionate special pleading, written with the heat -- and often with the wisdom, it must be said -- of a Liberal damning the shortsightedness of politicians from 1782 to 1832.

That he read some of the books assigned to him with a studied carefulness is evident from his notes, which are often so full that they provide an unquestionable basis for the identification of reviews that were printed without his signature.

The religious quest is often intense and deep, and there are students on every campus who are seriously wrestling with the most profound questions of meaning and value.

His neighbors celebrated his return, even if it was only temporary, and Morgan was especially gratified by the quaint expression of an elderly friend, Isaac Lane, who told him, `` A man that has so often left all that is dear to him, as thou hast, to serve thy country, must create a sympathetic feeling in every patriotic heart ''.

Without a precise knowledge of Germanic philology, however, it is debatable whether their use was not more often a source of confusion and error than anything else.

Youth may be, and often is, skeptical, cynical or despairing ; ;

Although Patchen has given previous evidence of an interest in jazz, the musical group that he works with, the Chamber Jazz Sextet, is often ignored by jazz critics.

He is forced to play for little money, and must often take another job to live.