(Page 0657) automaton all cells are always effectively treated as being exactly the same. And to emulate a mobile automaton with a cellular automaton it turns out that all ...

(Page 0726) In a pattern like the one obtained from rule 30 above different computations are presumably not arranged in any such straightforward way. But I strongly suspect ...

(Page 0731) But can this detailed kind of phenomenon really be used as the basis for doing fundamentally more sophisticated computations? To compare the general computational ...

(Page 0732) the outcome of an infinite number of steps in the evolution of a system like a cellular automaton. And while these particular types of equations have never ...

(Page 0735) respects they seem far more random than patterns produced by systems like rule 110 that we already know are universal. But how can we be sure that we are not ...

(Page 0846) terms. And this has become all the more relevant as its replication with technology begins to seem realistic. But what the Principle of Computational Equivalence ...

(Page 0854a) Stephen Wolfram: A New Kind of Science | Online The Book Store Downloads Education Archives Forum Jump to Page Look Up in Index Search General Notes > Section 1 ...

(Page 0895d) Notes for: The World of Simple Programs | Cyclic Tag Systems Properties [of cyclic tag systems] Assuming that black and white elements occur in an uncorrelated ...

(Page 0924c) Notes for: Systems Based on Numbers | Partial Differential Equations Implementation [of my PDEs] All the numerical solutions shown were found using the NDSolve ...

(Page 0934a) Notes for: Two Dimensions and Beyond | Substitution Systems and Fractals History of fractals The idea of using nested 2D shapes in art probably goes back to ...