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Notes for: Starting from Randomness   (Stephen Wolfram's "A New Kind of Science")
(Page 0950c) Notes for: Starting from Randomness | Systems of Limited Size and Class 2 Behavior Cyclic multiplication With multiplication by k at each step the dot will be at ...
Systems of Limited Size and Class 2 ...   (Stephen Wolfram's "A New Kind of Science")
(Page 0255) Systems of Limited Size and Class 2 Behavior In the past two sections [ 2 , 3 ] we have seen two important features of class 2 systems: first, that their behavior ...
Systems of Limited Size and Class 2 ...   (Stephen Wolfram's "A New Kind of Science")
(Page 0256) Looking at the pictures we then see that the behavior which results is always purely repetitive -- though the period of repetition is different in different ...
Systems of Limited Size and Class 2 ...   (Stephen Wolfram's "A New Kind of Science")
(Page 0257) Sometimes the actual repetition period is equal to this maximum value. But often it is smaller. And indeed it is a common feature of systems of limited size that ...
Growth of Plants and Animals   (Stephen Wolfram's "A New Kind of Science")
(Page 0410) The pictures above show an example of this type of process. For purposes of display the ring of active material is unrolled into a line, and successive states of ...
Notes for: Starting from Randomness   (Stephen Wolfram's "A New Kind of Science")
(Page 0950b) Notes for: Starting from Randomness | Systems of Limited Size and Class 2 Behavior Cyclic addition After t steps, the dot will be at position Mod[m t, n] where n ...
Systems of Limited Size and Class 2 ...   (Stephen Wolfram's "A New Kind of Science")
(Page 0258) Once again, the behavior that results is always repetitive, and the repetition period can never be greater than the total number of possible positions for the ...
Register Machines   (Stephen Wolfram's "A New Kind of Science")
(Page 0098) And with this setup, the pictures above show three very simple examples of register machines with two registers. The programs for each of the machines are given ...
Turing Machines   (Stephen Wolfram's "A New Kind of Science")
(Page 0184) Turing Machines Much as for cellular automata, it is straightforward to generalize Turing machines to two dimensions. The basic idea -- shown in the picture below ...
Notes for: Processes of Perception and ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1075c) Notes for: Processes of Perception and Analysis | Visual Perception Feedback [in visual processing] Most of the lowest levels of visual processing seem to ...
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