Representation Of A Finite Group
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Representation Of A Finite Group
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 according to Hanna Pitkin, Hanna Pitkin's ''Concept of Representation'' (1967). 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 an ...
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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 Chomsky's minimalist program, and argues that his proposal has significant descriptive and conceptual advantages over them. The substance of the proposal is that linguistic derivation is the result of mappings and mismappings between an open set of 'representations', which in one dimension correspond to increasingly larger locality domains and in the other pair ' syntactic' (sentential and sub-sentential) and 'semantic' (as well as pragmatic) levels. Cross-linguistic variation is then accounted for by the prioritisation of 'faithfulness' to some representations over others. See also * Discourse representation theory References External linksEdwin S. Williamsat Princeton University Princeton University is a private university, pri ...
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Data Visualization
Data and information visualization (data viz/vis or info viz/vis) is the practice of designing and creating Graphics, graphic or visual Representation (arts), representations of a large amount of complex quantitative and qualitative data and information with the help of static, dynamic or interactive visual items. Typically based on data and information collected from a certain domain of expertise, these visualizations are intended for a broader audience to help them visually explore and discover, quickly understand, interpret and gain important insights into otherwise difficult-to-identify structures, relationships, correlations, local and global patterns, trends, variations, constancy, clusters, outliers and unusual groupings within data (''exploratory visualization''). When intended for the general public (mass communication) to convey a concise version of known, specific information in a clear and engaging manner (''presentational'' or ''explanatory visualization''), it is t ...
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Representative Sample
In this statistics, quality assurance, and survey methodology, sampling is the selection of a subset or a statistical sample (termed sample for short) of individuals from within a statistical population to estimate characteristics of the whole population. The subset is meant to reflect the whole population, and statisticians attempt to collect samples that are representative of the population. Sampling has lower costs and faster data collection compared to recording data from the entire population (in many cases, collecting the whole population is impossible, like getting sizes of all stars in the universe), and thus, it can provide insights in cases where it is infeasible to measure an entire population. Each observation measures one or more properties (such as weight, location, colour or mass) of independent objects or individuals. In survey sampling, weights can be applied to the data to adjust for the sample design, particularly in stratified sampling. Results from probab ...
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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 practice ...
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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 connected to one another. The chemical bonding within the molecule is also shown, either explicitly or implicitly. Unlike other chemical formula types, which have a limited number of symbols and are capable of only limited descriptive power, structural formulas provide a more complete geometric representation of the molecular structure. For example, many chemical compounds exist in different isomeric forms, which have different enantiomeric structures but the same molecular formula. There are multiple types of ways to draw these structural formulas such as: Lewis structures, condensed formulas, skeletal formulas, Newman projections, Cyclohexane conformations, Haworth projections, and Fischer projections. Several systematic chemical naming formats, as in chemical databases, are used that are equivalent to, and ...
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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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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 u ...
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