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In psychology and cognitive science, a schema (pl.: schemata or schemas) describes a pattern of thought or behavior that organizes categories of information and the relationships among them. [ 1 ] [ 2 ] It can also be described as a mental structure of preconceived ideas, a framework representing some aspect of the world, or a system of ...
Stevens' power law is an empirical relationship in psychophysics between an increased intensity or strength in a physical stimulus and the perceived magnitude increase in the sensation created by the stimulus.
The term schematic describes having a particular schema for a particular dimension. For instance, a person in a rock band at night would have a "rocker" schema. However, during the day, if he works as a salesperson , he would have a "salesperson" schema during that period of time.
Other influences include Max Wertheimer's gestalt structure theory and Kant's account of schemas in categorization, as well as studies in experimental psychology on the mental rotation of images. In addition to the dissertation on over by Brugman, Lakoff's use of image schema theory also drew extensively on Talmy and Langacker's theories of ...
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The equivalence of power laws with a particular scaling exponent can have a deeper origin in the dynamical processes that generate the power-law relation. In physics, for example, phase transitions in thermodynamic systems are associated with the emergence of power-law distributions of certain quantities, whose exponents are referred to as the ...
A strange attractor that exhibits multifractal scaling Example of a multifractal electronic eigenstate at the Anderson localization transition in a system with 1367631 atoms. A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension ) is not enough to describe its dynamics; instead, a ...
This definition of Guttman scale relies on the prior definition of a simple function. For a totally ordered set X , say, 1,2,..., m , and another finite set, Y , with k elements k ≤ m , a function from X to Y is a simple function if X can be partitioned into k intervals which are in a one-to-one correspondence with the values of Y .