I originally defined a "field" as any non-infinite lattice. However, as that is pretty vague, I've defined a more precise mathematical definition.
The set of fields for a cellular automata F = {N^n x S |0 < N < ∞}, where N is a non-infinite positive integer, n is the dimensionality of the cellular automata, and S is the state for the whole lattice (usually "dead" in life-like cellular automata).
more precise definition of "field"
Re: more precise definition of "field"
A commutative ring in which every non-zero element has a multiplicative inverse?
What do you do with ill crystallographers? Take them to the mono-clinic!
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tracefleeman
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- Joined: January 12th, 2014, 11:03 pm
Re: more precise definition of "field"
"Field" in this case has a meaning derived from the physics definition in which a value is associated to every point in space.calcyman wrote:A commutative ring in which every non-zero element has a multiplicative inverse?