MyWikiBiz, Author Your Legacy — Tuesday February 18, 2025
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, 16:01, 21 April 2013
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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 “attractive” 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 “attractive” way. To describe this additional structure, I introduce a set of graph-theoretical concepts and notations. |
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− | <pre>
| + | The ''attractor'' of <math>x\!</math> in <math>Y.\!</math> |
− | The "attractor" of X in Y. | |
| | | |
− | Y@X = "Y at X" = @[X]Y = [X]Y U { Arcs into [X]Y }.
| + | {| align="center" cellspacing="6" width="90%" |
| + | | |
| + | <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. |
| </pre> | | </pre> |