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添加35字节 、 2025年3月8日 (六) 16:22
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The first 7 states are merged into a single macroscopic state, denoted as A. Sum the probability values in the first 7 columns of the first 7 rows in [math]f_m[/math] to calculate the probability of state transition from macroscopic state A to state A. The other values of the [math]f_m[/math] matrix remain unchanged. The new probability transition matrix after merging is shown in the right figure, denoted as [math]f_M[/math]. This definite macroscopic Markov transition matrix ensures that the future state is entirely determined by the current state. At this time <math>EI(f_M)>EI(f_m)</math>, and causal emergence occurs in the system.  
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First, merge the first 7 states into one macroscopic state, tentatively called A, and then sum the probability values in the first 7 rows and the first 7 columns of [math]f_m[/math] and divide by 7, thereby obtaining the state transition probability from macroscopic state A to A, while leaving the other values of the [math]f_m[/math] matrix unchanged. The new probability transition matrix after merging is shown in the right figure, denoted as [math]f_M[/math]. This definite macroscopic Markov transition matrix ensures that the future state is entirely determined by the current state. At this time <math>EI(f_M)>EI(f_m)</math>, and causal emergence occurs in the system.  
     
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