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Working from these principles alone, there are numerous ways that a plausible dynamics can be invented for a given sign relation.  I will concentrate on two principal forms of dynamic realization, or two ways of interpreting and augmenting sign relations as sign processes.
 
Working from these principles alone, there are numerous ways that a plausible dynamics can be invented for a given sign relation.  I will concentrate on two principal forms of dynamic realization, or two ways of interpreting and augmenting sign relations as sign processes.
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One form of realization lets each element of the object domain <math>O\!</math> correspond to the observed presence of an object in the environment of the systematic agent.  In this interpretation, the object <math>x\!</math> acts as an input datum that causes the system <math>Y\!</math> to shift from whatever sign state it happens to occupy at a given moment to a random sign state in <math>[x]_Y.\!</math>  Expressed in a cognitive vein, <math>{}^{\backprime\backprime} Y ~\operatorname{notes}~ x {}^{\prime\prime}.</math>
    
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One form of realization lets each element of the object domain O correspond to the observed presence of an object in the environment of the systematic agent.  In this interpretation, the object X acts as an input datum that causes the system Y to shift from whatever sign state it happens to occupy at a given moment to a random sign state in [X]Y.  Expressed in a cognitive vein, "Y notes X".
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Another form of realization lets each element of the object domain O correspond to the autonomous intention of the systematic agent to denote an object, achieve an objective, or broadly speaking to accomplish any other purpose with respect to an object in its domain.  In this interpretation, the object X is a control parameter that brings the system Y into line with realizing a target set [X]Y.
 
Another form of realization lets each element of the object domain O correspond to the autonomous intention of the systematic agent to denote an object, achieve an objective, or broadly speaking to accomplish any other purpose with respect to an object in its domain.  In this interpretation, the object X is a control parameter that brings the system Y into line with realizing a target set [X]Y.
  
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