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The two-dimensional "spin 1/2" representation of the Lie algebra so(3), for example, does not correspond to an ordinary (single-valued) representation of the group SO(3). (This fact is the origin of statements to the effect that "if you rotate the wave function of an electron by 360 degrees, you get the negative of the original wave function.")
Representation theory depends upon the type of algebraic object being represented. There are several different classes of groups, associative algebras and Lie algebras, and their representation theories all have an individual flavour. Representation theory depends upon the nature of the vector space on which the algebraic object is represented.
This is a list of mathematical theories. Almgren–Pitts min-max theory; ... Ramsey theory; Random matrix theory; Representation theory; Ring theory; Scheme theory ...
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 properties and relationships existing among the representing objects y i conform, in some consistent way, to ...
Visual representation of a Schwarzschild wormhole. Wormholes have never been observed, but they are predicted to exist through mathematical models and scientific theory. Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict natural phenomena.
AP Physics C: Mechanics and AP Physics 1 are both introductory college-level courses in mechanics, with the former recognized by more universities. [1] The AP Physics C: Mechanics exam includes a combination of conceptual questions, algebra-based questions, and calculus-based questions, while the AP Physics 1 exam includes only conceptual and algebra-based questions.
Apparatus theory maintains that cinema is by nature ideological because its mechanics of representation are ideological, and because the films are created to represent reality. Its mechanics of representation include the camera and editing. The central position of the spectator within the perspective of the composition is also ideological. In ...
Media studies does not appear to be taught in the state of New South Wales at a secondary level. In Victoria, the VCE media studies course is structured as: Unit 1 – Representation, Technologies of Representation, and New Media; Unit 2 – Media Production, Australian Media Organisations; Unit 3 – Narrative Texts, Production Planning; and ...