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1. Representation theorem: In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract or concrete) structure. (Proof that every structure with certain properties is isomorphic to another structure) [100%] 2023-12-14 [Mathematical theorems]
2. Utility representation theorem: In economics, a utility representation theorem asserts that, under certain conditions, a preference ordering can be represented by a real-valued utility function, such that option A is preferred to option B if and only if the utility of A ... (Finance) [81%] 2023-12-18 [Economics theorems]
3. Yosida representation theorem: Let $ X $ be a topological space, $ C( X) $ the set of continuous real-valued functions on $ X $( cf. Continuous functions, space of). (Mathematics) [81%] 2023-12-21
4. Riesz representation theorem: A central theorem in classical measure theory, sometimes called Riesz-Markov theorem, which states the following. Let $X$ be a compact Hausdorff topological space, $C(X)$ the Banach space of real valued continuous functions on $X$ and $L: C(X ... (Mathematics) [81%] 2023-12-16 [Classical measure theory]
5. 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) [81%] 2023-12-16 [Representation theory]
6. Representation theory: A theory studying homomorphisms of semi-groups (in particular, groups), algebras or other algebraic systems into corresponding endomorphism systems of suitable structures. Most often one considers linear representations, i.e. (Mathematics) [81%] 2023-05-22
7. Theorem: A theorem is a statement that can be proven via logic which generally stems from a collection of postulates or axioms. They have been in use since Euclidean geometry as the basis of geometrical facts. [77%] 2023-02-21 [Mathematics]
8. Theorem: In logic, a theorem is formally meant to be a formula that can be transformed by applying inferential rules to axioms in a deductive system. This formal notion of proofs in logic is crucial in fields such as proof theory ... [77%] 2023-02-03
9. Theorem: In mathematics, a theorem is a statement that has been proved, or can be proved. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a ... (In mathematics, a statement that has been proved) [77%] 2023-09-23 [Theorems] [Logical consequence]...
10. Theorem: A mathematical statement whose truth has been established by means of a proof. The concept of a theorem developed and became more precise together with the concept of a mathematical proof. (Mathematics) [77%] 2023-10-18
11. Theorum: Theorum (rhymes with decorum, apparently) is a neologism proposed by Richard Dawkins in The Greatest Show on Earth to distinguish the scientific meaning of theory from the colloquial meaning. In most of the opening introduction to the show, he substitutes ... [76%] 2024-01-05 [Neologisms] [Language]...
12. Modular representation theory: Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups over a field K of positive characteristic p, necessarily a prime number. As well as having applications to ... (Studies linear representations of finite groups over a field K of positive characteristic p) [66%] 2023-12-15 [Module theory] [Representation theory of finite groups]...
13. Discourse Representation Theory: In the early 1980s, Discourse Representation Theory (DRT) was introduced by Hans Kamp as a theoretical framework for dealing with issues in the semantics and pragmatics of anaphora and tense (Kamp 1981); a very similar theory was developed independently by ... (Philosophy) [66%] 2021-12-24
14. Discourse representation theory: In formal linguistics, discourse representation theory (DRT) is a framework for exploring meaning under a formal semantics approach. One of the main differences between DRT-style approaches and traditional Montagovian approaches is that DRT includes a level of abstract mental ... (Philosophy) [66%] 2023-12-05 [Logic]
15. Discourse representation theory: In formal linguistics, discourse representation theory (DRT) is a framework for exploring meaning under a formal semantics approach. One of the main differences between DRT-style approaches and traditional Montagovian approaches is that DRT includes a level of abstract mental ... [66%] 2023-12-21 [Semantics] [Logic]...
16. Dual representation theory: Dual representation theory (DRT) is a psychological theory of post-traumatic stress disorder (PTSD) developed by Chris Brewin, Tim Dalgleish, and Stephen Joseph in 1996. This theory proposes that certain symptoms of PTSD - such as nightmares, flashbacks, and emotional disturbance ... (Biology) [66%] 2023-12-12 [Post-traumatic stress disorder] [Memory disorders]...
17. Modular representation theory: Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups over a field K of positive characteristic p, necessarily a prime number. As well as having applications to ... (Studies linear representations of finite groups over a field K of positive characteristic p) [66%] 2025-09-05 [Module theory] [Representation theory of finite groups]...
18. 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) [64%] 2022-06-12 [Narratology]
19. 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 ... [64%] 2022-09-02
20. 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) [64%] 2024-01-19 [Mathematical relations]