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) [92%] 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 ... [92%] 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) [92%] 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) [92%] 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) [92%] 2024-09-29 [Concepts in aesthetics] [Artistic techniques]...
Representationism: Representationism or Representative Theory of Perception, also known as indirect realism, epistemological dualism, the veil of perception, and representationalism, is a philosophical theory of knowledge based on the assertion that the mind cannot directly perceive objects in the external world ... [86%] 2023-02-03
Representationism: Representationism or Representative Theory of Perception, also known as indirect realism, epistemological dualism, the veil of perception, and representationalism, is a philosophical theory of knowledge based on the assertion that the mind cannot directly perceive objects in the external world ... [86%] 2023-02-04
Disjunctive representations: disjoint representations Unitary representations $ \pi _ {1} , \pi _ {2} $ of a certain group or, correspondingly, symmetric representations of a certain algebra with an involution which satisfy the following equivalent conditions: 1) the unique bounded linear operator from the representation ... (Mathematics) [70%] 2023-10-17
Collective representations: Collective representations are concepts, ideas, categories and beliefs that do not belong to isolated individuals, but are instead the product of a social collectivity. Durkheim originated the term collective representations to emphasise the way that many of the categories of ... (Social) [70%] 2023-12-19 [Collective intelligence]
Equivalent representations: Two representations $ \pi _ {1} $ and $ \pi _ {2} $ of a group (algebra, ring, semi-group) $ X $ in vector spaces $ E _ {1} $ and $ E _ {2} $, respectively, for which there is an intertwining operator which is a vector space ... (Mathematics) [70%] 2023-12-19
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) [65%] 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) [65%] 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) [65%] 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) [65%] 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) [65%] 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) [65%] 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) [65%] 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 ... [65%] 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) [65%] 2024-01-19 [Cognitive modeling] [Cognitive psychology]...