Примери коришћења Cellular automata на Енглеском и њихови преводи на Српски
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Cellular automata have been proposed for public-key cryptography.
The rule 30 and rule 110 cellular automata are particularly interesting.
Cellular automata can simulate a variety of real-world systems, including biological and chemical ones.
When these are approximated by cellular automata, they often yield similar patterns.
Such cellular automata have rules specially constructed to be reversible.
Wolfram has conjectured that many,if not all class 4 cellular automata are capable of universal computation.
For one dimensional cellular automata there are known algorithms for deciding whether a rule is reversible or irreversible.
Several techniques can be used to explicitly construct reversible cellular automata with known inverses.
And so it is with cellular automata: there are occasionally rules….
Indeed, physicist James Crutchfield has constructed a rigorous mathematical theory out of this idea,proving the statistical emergence of"particles" from cellular automata.
Two dimensional cellular automata are used for random number generation.[67].
In the 1980s, Stephen Wolfram engaged in a systematic study of one-dimensional cellular automata, orwhat he calls elementary cellular automata.
And so it is with cellular automata: there are occasionally rules… that show some features of one class and some of another.".
Wolfram published A New Kind of Science in 2002,claiming that cellular automata have applications in many fields of science.
In many cases the resulting cellular automata are equivalent to those with rectangular grids with specially designed neighborhoods and rules.
Moving wave patterns on the skin of cephalopods can be simulated with a two-state,two-dimensional cellular automata, each state corresponding to either an expanded or retracted chromatophore.
These 256 cellular automata are generally referred to by their Wolfram code, a standard naming convention invented by Wolfram that gives each rule a number from 0 to 255.
In 2002 Wolfram published a 1280-page text A New Kind of Science,which extensively argues that the discoveries about cellular automata are not isolated facts but are robust and have significance for all disciplines of science.
In the 1960s, cellular automata were studied as a particular type of dynamical system and the connection with the mathematical field of symbolic dynamics was established for the first time.
Wolfram, in A New Kind of Science and several papers dating from the mid-1980s,defined four classes into which cellular automata and several other simple computational models can be divided depending on their behavior.
These are like totalistic cellular automata, but instead of the rule and states being discrete(e.g. a table, using states{0,1,2}), continuous functions are used, and the states become continuous(usually values in).
If a cellular automaton is reversible, its time-reversed behavior can also be described as a cellular automaton; this fact is a consequence of the Curtis-Hedlund-Lyndon theorem,a topological characterization of cellular automata.
Fibroblasts are similar to cellular automata, as each fibroblast only interacts with its neighbors.
If a cellular automaton is reversible, its time-reversed behavior can also be described as a cellular automaton; this fact is a consequence of the Curtis- Hedlund- Lyndon theorem,a topological characterization of cellular automata.
Fibroblasts bear similarities to cellular automata, as each fibroblast only interacts with its neighbors.
The result was a universal copier and constructor working within a cellular automaton with a small neighborhood(only those cells that touch are neighbors;for von Neumann's cellular automata, only orthogonal cells), and with 29 states per cell.
Like Ulam's lattice network,von Neumann's cellular automata are two-dimensional, with his self-replicator implemented algorithmically.
However, for cellular automata of two or more dimensions reversibility is undecidable; that is, there is no algorithm that takes as input an automaton rule and is guaranteed to determine correctly whether the automaton is reversible.
Conway's Game of Life is an example of an outer totalistic cellular automaton with cell values 0 and 1;outer totalistic cellular automata with the same Moore neighborhood structure as Life are sometimes called life-like cellular automata. .
As Andrew Ilachinski points out in his Cellular Automata, many scholars have raised the question of whether the universe is a cellular automaton. .