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Representation (arts): Representation is the use of signs that stand in for and take the place of something else. It is through representation that people organize the world and reality through the act of naming its elements. (Arts) [100%] 2022-06-12 [Narratology]
Representation: Representation, a term used in various senses in different connexions, but particularly in a political meaning, which has developed out of the others. The word " represent " comes from Lat. re-praesentare, to ' make present again," or " bring back into presence ... [100%] 2022-09-02
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 another collection X of objects, provided that the ... (Mathematics) [100%] 2024-01-19 [Mathematical relations]
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 ... (Social) [100%] 2023-12-18 [Comparative politics] [Political terminology]...
Representation (arts): Representation is the use of signs that stand in for and take the place of something else. It is through representation that people organize the world and reality through the act of naming its elements. (Arts) [100%] 2024-09-29 [Concepts in aesthetics] [Artistic techniques]...
Representative: In the United States, a Representative is a member of the federal House of Representatives. There are currently 435 representatives elected from across the United States. [85%] 2023-06-25 [Government]
Representación (política): En sociología y política, la representación es el acto de un mandatario legislador el cual ejerce el mandato de personificar, actuar en lugar de los ciudadanos y en nombre de los mismos o cuidar y exponer intereses, necesidades y quejas ... (Política) [85%] 2024-05-21
Involution representation: A representation $\pi$ of an involution algebra $A$ by continuous linear operators on a Hilbert space such that $\pi(x)^*=\pi(x^*)$ for all $x\in A$, where $x^*$ is the image of $x$ under the involution of $A$. (Mathematics) [70%] 2023-12-19
Unit representation: The one-dimensional representation of a group $G$ that maps each element of $G$ to the number 1. More generally, the unit representation of a group $G$ in a vector space $E$ is the representation of $G$ that maps each ... (Mathematics) [70%] 2024-01-19
Direct representation: Direct representation or proxy representation is a form of representative democracy where voters can vote for any candidate in the land, and each representative's vote is weighted in proportion to the number of citizens who have chosen that candidate ... (Social) [70%] 2023-04-13 [Electoral systems] [Types of democracy]...
Boundary representation: In solid modeling and computer-aided design, boundary representation (often abbreviated B-rep or BREP) is a method for representing a 3D shape by defining the limits of its volume. A solid is represented as a collection of connected surface ... (Engineering) [70%] 2023-03-27 [Computer-aided design]
Representation theory: Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more ... (Branch of mathematics that studies abstract algebraic structures) [70%] 2023-12-16 [Representation theory]
Integrable representation: A continuous irreducible unitary representation $ \pi $ of a locally compact unimodular group $ G $ in a Hilbert space $ H $ such that for some non-zero vector $ \xi \in H $ the function $ g \mapsto ( \pi ( g) \xi , \xi ) $, $ g \in G $, is ... (Mathematics) [70%] 2023-10-18
Projective representation: of a group $ G $ A homomorphism of this group into the group $ \mathop{\rm PGL} ( V ) $ of projective transformations of the projective space $ P ( V ) $ associated to a vector space $ V $ over a field $ k $. With each projective representation $ \phi ... (Mathematics) [70%] 2023-10-23
Isotypical representation: In group theory, an isotypical, primary or factor representation of a group G is a unitary representation \displaystyle{ \pi : G \longrightarrow \mathcal{B}(\mathcal{H}) }[/math] such that any two subrepresentations have equivalent sub-subrepresentations. This is related to the ... [70%] 2023-10-01 [Unitary representation theory] [Module theory]...
Mental representation: 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 its abstractions. Mental representation is the mental imagery of things that are not ... (Philosophy) [70%] 2024-01-19 [Cognitive modeling] [Cognitive psychology]...
Dual representation: In mathematics, if G is a group and ρ is a linear representation of it on the vector space V, then the dual representation ρ* is defined over the dual vector space V* as follows: The dual representation is also known as ... (Group representation) [70%] 2024-01-19 [Representation theory of groups]
Indecomposable representation: A representation of a group (or algebra, ring, semi-group, etc.) that is not equivalent to a direct sum of non-zero representations of the same group (or algebra, etc.). Thus, the indecomposable representations must be regarded the simplest representations ... (Mathematics) [70%] 2023-09-25