Representation (systemics)
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Representation may refer to:


Law and politics

* Representation (politics), political activities undertaken by elected representatives, as well as other theories **
Representative democracy Representative democracy, also known as indirect democracy, is a type of democracy where elected people represent a group of people, in contrast to direct democracy. Nearly all modern Western-style democracies function as some type of represe ...
, type of democracy in which elected officials represent a group of people * Representation, in contract law a pre-contractual statement that may (if untrue) result in liability for
misrepresentation In common law jurisdictions, a misrepresentation is a false or misleading '' R v Kylsant'' 931/ref> statement of fact made during negotiations by one party to another, the statement then inducing that other party to enter into a contract. The ...
* Labor representation, or worker representation, the work of a
union representative A union representative, union steward, or shop steward is an employee of an organization or company who represents and defends the interests of their fellow employees as a labor union member and official. Rank-and-file members of the union hold ...
who represents and defends the interests of fellow labor union members * Legal representation, provided by a barrister, lawyer, or other advocate *
Lobbying In politics, lobbying, persuasion or interest representation is the act of lawfully attempting to influence the actions, policies, or decisions of government officials, most often legislators or members of regulatory agencies. Lobbying, which ...
or interest representation, attempts to influence the actions, policies, or decisions of officials * "
No taxation without representation "No taxation without representation" is a political slogan that originated in the American Revolution, and which expressed one of the primary grievances of the American colonists for Great Britain. In short, many colonists believed that as they ...
", a 1700s slogan that summarized one of the American colonists' 27 colonial grievances in the Thirteen Colonies, which was one of the major causes of the American Revolution * Permanent representation, a type of
diplomatic mission A diplomatic mission or foreign mission is a group of people from a state or organization present in another state to represent the sending state or organization officially in the receiving or host state. In practice, the phrase usually den ...


Arts, entertainment, and media

* Representation (arts), use of signs that stand in for and take the place of something else * ''Representation'' (journal), an academic journal covering representative democracy * Depiction, non-verbal representation through two-dimensional images (pictures) of things seen, remembered or imagined


Cognitive science

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Representation (psychology) A mental representation (or cognitive representation), in philosophy of mind, cognitive psychology, neuroscience, and cognitive science, is a hypothetical internal cognitive symbol that represents external reality, or else a mental process that ...
, a hypothetical 'internal' cognitive symbol that represents external reality * Knowledge representation, the study of formal ways to describe knowledge *
Representation theory (linguistics) Representation theory (RT) is a theoretical linguistic framework in the generative tradition, created and developed by Edwin S. Williams – chiefly in an eponymous monograph of 2003. Williams compares it with other frameworks such as Noam Choms ...
, a theoretical framework in generative linguistics


Mathematics

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Representation (mathematics) In mathematics, a representation is a very general relationship that expresses similarities (or equivalences) between mathematical objects or structures. Roughly speaking, a collection ''Y'' of mathematical objects may be said to ''represent'' ano ...
, a very general relationship that expresses similarities between objects *
Group representation In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space to itself (i.e. vector space automorphisms); in particular, they can be used to ...
, describes abstract groups in terms of linear transformations of vector spaces * Lie algebra representation, a way of writing a Lie algebra as a set of matrices in such a way that the Lie bracket is given by the commutator *
Multiple representations (mathematics education) In mathematics education, a representation is a way of encoding an idea or a relationship, and can be both internal (e.g., mental construct) and external (e.g., graph). Thus multiple representations are ways to symbolize, to describe and to refer to ...
, ways to symbolize, to describe and to refer to the same mathematical entity *
Representation of a Lie group In mathematics and theoretical physics, a representation of a Lie group is a linear action of a Lie group on a vector space. Equivalently, a representation is a smooth homomorphism of the group into the group of invertible operators on the vec ...
, a linear action of a Lie group on a vector space


Other uses

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Representation (chemistry) The structural formula of a chemical compound is a graphic representation of the molecular structure (determined by structural chemistry methods), showing how the atoms are possibly arranged in the real three-dimensional space. The chemical bond ...
, graphic representation of the molecular structure of a chemical compound *
Social representation Social representations are a system of values, ideas, metaphors, beliefs, and practices that serve to establish social order, orient participants and enable communication among the members of groups and communities. Social representation theory i ...
, a stock of values, ideas, beliefs, and practices that are shared among the members of groups and communities * Representative sample in statistics


See also

* Data visualization, the creation and study of the visual representation of data *
Reprazent Roni Size & Reprazent (stylised as Roni Size / Reprazent) are a British drum and bass group fronted by Roni Size. Their debut album '' New Forms'' won the Mercury Music Prize in 1997. Their follow-up album ''In the Møde'' featured artists incl ...
, a British drum and bass group * Represent (disambiguation) {{disambiguation