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Representation
Representation may refer to: Law and politics *Representation (politics), political activities undertaken by elected representatives, as well as other theories ** Representative democracy, 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 * Labor representation, or worker representation, the work of a union representative who represents and defends the interests of fellow labor union members * Legal representation, provided by a barrister, lawyer, or other advocate * Lobbying or interest representation, attempts to influence the actions, policies, or decisions of officials * "No taxation without representation", 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 ...
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Representation (politics)
Political representation is the activity of making citizens "present" in public policy-making processes when political actors act in the best interest of citizens. This definition of political representation is consistent with a wide variety of views on what representing implies and what the duties of representatives are. For example, representing may imply acting on the expressed wishes of citizens, but it may alternatively imply acting according to what the representatives themselves judge is in the best interests of citizens. And representatives may be viewed as individuals who have been authorized to act on the behalf of others, or may alternatively be viewed as those who will be held to account by those they are representing. Political representation can happen along different units such as social groups and area, and there are different types of representation such as substantive representation and descriptive representation. Views of political representation Under the ''acc ...
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Depiction
Depiction is reference conveyed through pictures. A picture refers to its object through a non-linguistic two-dimensional scheme, and is distinct from writing or notation. A depictive two-dimensional scheme is called a picture plane and may be constructed according to descriptive geometry, where they are usually divided between ''projections'' (orthogonal and various oblique angles) and ''perspectives'' (according to number of vanishing points). Pictures are made with various materials and techniques, such as painting, drawing, or prints (including photography and movies) mosaics, tapestries, stained glass, and collages of unusual and disparate elements. Occasionally, picture-like features may be recognised in simple inkblots, accidental stains, peculiar clouds or a glimpse of the moon, but these are special cases, and it is controversial whether they count as genuine instances of depiction. Similarly, sculpture and theatrical performances are sometimes said to depict, but this req ...
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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 vector space. Representations play an important role in the study of continuous symmetry. A great deal is known about such representations, a basic tool in their study being the use of the corresponding 'infinitesimal' representations of Lie algebras. Finite-dimensional representations Representations A complex representation of a group is an action by a group on a finite-dimensional vector space over the field \mathbb C. A representation of the Lie group ''G'', acting on an ''n''-dimensional vector space ''V'' over \mathbb C is then a smooth group homomorphism :\Pi:G\rightarrow\operatorname(V), where \operatorname(V) is the general linear group of all invertible linear transformations of V under their composition. Since all ''n''-dimension ...
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Knowledge Representation
Knowledge representation and reasoning (KRR, KR&R, KR²) is the field of artificial intelligence (AI) dedicated to representing information about the world in a form that a computer system can use to solve complex tasks such as diagnosing a medical condition or having a dialog in a natural language. Knowledge representation incorporates findings from psychology about how humans solve problems and represent knowledge in order to design formalisms that will make complex systems easier to design and build. Knowledge representation and reasoning also incorporates findings from logic to automate various kinds of ''reasoning'', such as the application of rules or the relations of sets and subsets. Examples of knowledge representation formalisms include semantic nets, systems architecture, frames, rules, and ontologies. Examples of automated reasoning engines include inference engines, theorem provers, and classifiers. History The earliest work in computerized knowledge represe ...
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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 were not represented in the distant British parliament, any taxes it imposed on the colonists (such as the Stamp Act and the Townshend Acts) were unconstitutional, and were a denial of the colonists' rights as Englishmen. The firm belief that the government should not tax a populace unless that populace is represented in some manner in the government developed in the English Civil War, following the refusal of parliamentarian John Hampden to pay ship money tax. In the context of British taxation of its American colonies, the slogan "No taxation without representation" appeared for the first time in a headline of a February 1768 ''London Magazine'' printing of Lord Camden's "Speech on the Declaratory Bill of the Sovereignty of Great ...
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Lie Algebra Representation
In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms of a vector space) in such a way that the Lie bracket is given by the commutator. In the language of physics, one looks for a vector space V together with a collection of operators on V satisfying some fixed set of commutation relations, such as the relations satisfied by the angular momentum operators. The notion is closely related to that of a representation of a Lie group. Roughly speaking, the representations of Lie algebras are the differentiated form of representations of Lie groups, while the representations of the universal cover of a Lie group are the integrated form of the representations of its Lie algebra. In the study of representations of a Lie algebra, a particular ring, called the universal enveloping algebra, associated with the Lie algebra plays an important role. The universa ...
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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 is a body of theory within social psychology and sociological social psychology. It has parallels in sociological theorizing such as social constructionism and symbolic interactionism, and is similar in some ways to mass consensus and discursive psychology. Origin and definition The term ''social representation'' was originally coined by Serge Moscovici in 1961,Moscovici, S. (1961). ''La psychanalyse, son image et son public''. Paris: Presses Universitaires de France. in his study on the reception and circulation of psychoanalysis in France. It is understood as the collective elaboration "of a social object by the community for the purpose of behaving and communicating". They are further referred to as "system of values, ideas and practices ...
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Representation (arts)
Representation is the use of signs that stand in for and take the place of something else.Mitchell, W. 1995, "Representation", in F Lentricchia & T McLaughlin (eds), ''Critical Terms for Literary Study'', 2nd edn, University of Chicago Press, Chicago It is through representation that people organize the world and reality through the act of naming its elements. Signs are arranged in order to form semantic constructions and express relations. For many philosophers, both ancient and modern, man is regarded as the "representational animal" or '' animal symbolicum'', the creature whose distinct character is the creation and the manipulation of signs – things that "stand for" or "take the place of" something else. Representation has been associated with aesthetics (art) and semiotics (signs). Mitchell says "representation is an extremely elastic notion, which extends all the way from a stone representing a man to a novel representing the day in the life of several Dubliners". The t ...
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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 represent group elements as invertible matrices so that the group operation can be represented by matrix multiplication. In chemistry, a group representation can relate mathematical group elements to symmetric rotations and reflections of molecules. Representations of groups are important because they allow many group-theoretic problems to be reduced to problems in linear algebra, which is well understood. They are also important in physics because, for example, they describe how the symmetry group of a physical system affects the solutions of equations describing that system. The term ''representation of a group'' is also used in a more general sense to mean any "description" of a group as a group of transformations of some mathematical o ...
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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 makes use of such a symbol: "a formal system for making explicit certain entities or types of information, together with a specification of how the system does this". Mental representation is the mental imagery of things that are not actually present to the senses. In contemporary philosophy, specifically in fields of metaphysics such as philosophy of mind and ontology, a mental representation is one of the prevailing ways of explaining and describing the nature of ideas and concepts. Mental representations (or mental imagery) enable representing things that have never been experienced as well as things that do not exist. Think of yourself traveling to a place you have never visited before, or having a third arm. These things have eit ...
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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 the same mathematical entity. They are used to understand, to develop, and to communicate different mathematical features of the same object or operation, as well as connections between different properties. Multiple representations include graphs and diagrams, tables and grids, formulas, symbols, words, gestures, software code, videos, concrete models, physical and virtual manipulatives, pictures, and sounds. Representations are thinking tools for doing mathematics. Higher-order thinking The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills.S. Ainsworth, P. Bibby, and D. Wood, "Information technology and multiple representations: New opportunities – new problems, ...
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Representation (journal)
''Representation'' is a quarterly peer-reviewed academic journal covering representative democracy. The editors-in-chief are Stephen Elstub and Maarja Lühiste (Newcastle University). The journal was established in 1960 and is published by Routledge on behalf of the McDougall Trust. The Representation and Electoral Systems specialist section of the American Political Science Association has adopted this journal and provides it for free to its membership. References External links

* Routledge academic journals Publications established in 1960 English-language journals Quarterly journals Political science journals {{poli-journal-stub ...
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