Continuous automaton

A continuous automaton can be described as a cellular automaton extended so the valid states a cell can take are not just discrete (for example, the states consist of integers between 0 and 3), but continuous, for example, the real number range [0,1]. The cells however remain discretely separated from each other. One example is called computational verb cellular network (CVCN) [1] [2] .,[3] of which the states of cells are in the region of [0,1].

Such automata can be used to model certain physical reactions more closely, such as diffusion. One such diffusion model could conceivably consist of a transition function based on the average values of the neighbourhood of the cell. Many implementations of Finite Element Analysis can be thought of as continuous automata, though this degree of abstraction away from the physics of the problem is probably inappropriate.

Continuous spatial automata resemble continuous automata in having continuous values, but they also have a continuous set of locations rather than restricting the values to a discrete grid of cells.

Reference notes
  1. Yang, T. (March 2009). "Computational Verb Cellular Networks: Part I--A New Paradigm of Human Social Pattern Formation,". International Journal of Computational Cognition. Yang's Scientific Press. 7 (1): 1–34.
  2. Yang, T. (March 2009). "Computational Verb Cellular Networks: Part II--One-Dimensional Computational Verb Local Rules,". International Journal of Computational Cognition. Yang's Scientific Press. 7 (1): 35–51.
  3. Yang, T. (June 2009). "Computational Verb Cellular Networks: Part III--Solutions of One-Dimensional Computational Verb Cellular Networks,". International Journal of Computational Cognition. Yang's Scientific Press. 7 (2): 1–11.


gollark: `openring`, that is, which generates the "from other blogs" bit on my website.
gollark: Also, in the past I had to write about three lines of code to make a Go project faster, because despite Go's main thing being parallelism the authors did not bother to parallelize it despite it being trivially possible to do so.
gollark: Well, in my foolish youth I actually did use it a decent bit. I also used Apple products and was excited about Windows 10, so something.
gollark: LIES!
gollark: Unless I had some really good reason. I don't know what.
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