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MyWikiBiz, Author Your Legacy — Tuesday February 18, 2025
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The dynamic realizations of the sign relations <math>L(\text{A})\!</math> and <math>L(\text{B})\!</math> augment their semantic equivalence relations in an &ldquo;attractive&rdquo; way.  To describe this additional structure, I introduce a set of graph-theoretical concepts and notations.
 
The dynamic realizations of the sign relations <math>L(\text{A})\!</math> and <math>L(\text{B})\!</math> augment their semantic equivalence relations in an &ldquo;attractive&rdquo; way.  To describe this additional structure, I introduce a set of graph-theoretical concepts and notations.
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<pre>
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The ''attractor'' of <math>x\!</math> in <math>Y.\!</math>
The "attractor" of X in Y.
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Y@X  = "Y at X"  = @[X]= [X]Y  U  { Arcs into [X]Y }.
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{| align="center" cellspacing="6" width="90%"
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<math>Y ~\text{at}~ x ~=~ \operatorname{At}[x]_Y ~=~ [x]_Y \cup \{ \text{arcs into}~ [x]_Y \}.</math>
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<pre>
 
In effect, this discussion of dynamic realizations of sign relations has advanced from considering SEPs as partitioning the set of points in S to considering attractors as partitioning the set of arcs in SxI = SxS.
 
In effect, this discussion of dynamic realizations of sign relations has advanced from considering SEPs as partitioning the set of points in S to considering attractors as partitioning the set of arcs in SxI = SxS.
 
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