Lambda (Chris Langton)

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        <b>Lambda:</b>
      
      
         Lambda is the percentage of local transitions leading to non-quiescient states. The 
        lambda options allow for varying degrees of quiescience to be selected as well as the 
        specification of symmetrical or non-symmetrical rule selection
      
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        The lambda parameter gives the percentage of non-zero transitions in the CA transition 
        table. Langton found a qualitative phase shift in the structure of 1-d CAs as lambda was 
        increased from low values to high values. It hints at a movement through Wolfram's 4 
        classifications of CAs of: 
      
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        <b>·	</b>
      
      
        <b>Class I -> Class II -> Class IV -> Class III </b>
      
      
        
      
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        Simply, as lambda increases, periods of stable, periodic behavior are slowly replaced by 
        "complex" structures and interactions which are replaced by seeming random, chaotic 
        behavior.
      
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        For details see: 
      
      
        <u>The lambda parameter</u>
      
      
        
      
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