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 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 known as " The Big Book " ( with its first 164 pages virtually unchanged since the 1939 edition ), it suggests a twelve-step program in which members admit that they are powerless over alcohol and need help from a " higher power "; seek guidance and strength through prayer and meditation from God or Higher Power of their own understanding ; take a moral inventory with care to include resentments ; list and become ready to remove character defects ; list and make amends to those harmed, and then try to help other alcoholics recover.

* Informally known as FORTRAN 66.

* Informally known as Fortran 90.

* Informally known as Fortran 95.

* Informally known as Fortran 2003.

* Informally known as Fortran 2008.

Informally, it was known as the Dewitt Colony.

Informally known as LaGuardia Arts, or LaGuardia High School, Fiorello H. LaGuardia High School of Music & Art and Performing Arts is the only school among the nine specialized high schools in New York City that receives special funding from the New York State legislature through the Hecht Calandra Act.

Informally this has been called the " Step Boundary ", although the step-like shape of the boundary was not apparent for several decades — the source of the Arkansas, believed to be near the 42nd parallel, was not known until John C. Frémont located it in the 1840s, hundreds of miles south of the 42nd parallel.

Informally, this nation was also simply known as Germany.

Informally known as " The Country Club of the South ," Furman was named one of the 362 most beautiful places in America by the American Society of Landscape Architects.

Informally, it is still also known as ARD among viewers.

Informally known as " Ronchamp ", the chapel of Notre Dame du Haut in Ronchamp (), completed in 1954, is one of the finest examples of the architecture of Franco-Swiss architect Le Corbusier and one of the most important examples of twentieth-century religious architecture.

Informally it was known as the Wang Jingwei regime (), the Nanjing Nationalist Government (), the Republic of China-Nanjing, the Nanjing regime, or New China.

Informally it is known as the neck of the tooth.

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 known as " Friends ' Central ," the school encompasses three divisions: lower school ( nursery through 4th grades ), middle school ( 5th through 8th ) and upper school ( 9th through 12th ).

Informally basis vectors are like " building blocks of a vector ", they are added together to make a vector, and the coordinates are the number of basis vectors in each direction.

Informally, eigenfaces can be considered a set of " standardized face ingredients ", derived from statistical analysis of many pictures of faces.

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

Informally speaking, continuations can account for the similarity between such sentences as " Alice sees Bob "— formally, — and " Alice sees everyone ", i. e..

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, this means that if G acts unitarily on a Hilbert space and has " almost invariant vectors ", then it has a nonzero invariant vector.

Informally the portion of the Torah read by or to the maftir is called the " maftir portion ", or the " maftir " for short: in a Chumash the word " maftir " is printed in the margin at the beginning of that portion.

Informally, other members of the higher hierarchic echelons of the Catholic Church are in recent times also occasionally called " Princes of the church ", in which case this title may occasionally carry ironic connotations.

Informally, this means that differentiable functions are very atypical among continuous functions.