What are the 4 forms of mathematical representations?
Mathematical representations and systems of representation are frequently characterized according to the nature of the representing configurations – e.g., internal or external; enactive, iconic, or symbolic; verbal, visual, spatial, auditory, or kinesthetic; concrete or abstract/symbolic; and static or dynamic.
What is geometric representation theory?
Geometric representation theory seeks to understand groups and representations as a consequence of more subtle but fundamental symmetries. A groundbreaking example of its success is Beilinson-Bernstein’s uniform construction of all representations of Lie groups via the geometry of D-modules on flag varieties.
What is a media representation?
Representation is how media texts deal with and present gender, age, ethnicity , national and regional identity, social issues and events to an audience.
What is social representation theory?
Social representations theory is a “theory of social knowledge” specifically concerned with how individuals, groups, and communities collectively make sense of socially relevant or problematic issues, ideas, and practices (Marková 2008:483).
What are the five mathematical representations?
The authors presented 5 types of representation: (1) representation of numerical forms; (2) graph representation; (3) verbal representation; (4) representation by symbols, including equations, expressions, algebraic formulas; (5) dual representation, consisting of two types of representation in the previous four forms.
What is multiple representations theory?
Multiple representations mean that a concept is repeatedly represented by different types of representations, such as verbal, graphical, mathematical representations, and that students are exposed to the same concept several times (Prain & Waldrip, 2006, p. 1844).
What is meant by representation of a group?
A representation of a group is a group action of on a vector space by invertible linear maps. For example, the group of two elements has a representation by and . A representation is a group homomorphism . Most groups have many different representations, possibly on different vector spaces.
What is algebraic geometry used for?
In algebraic statistics, techniques from algebraic geometry are used to advance research on topics such as the design of experiments and hypothesis testing [1]. Another surprising application of algebraic geometry is to computational phylogenetics [2,3].