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, 18:20, 27 April 2009
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| Given a universe of discourse <math>X,\!</math> suppose that <math>L \subseteq X \times X\!</math> is the 2-adic relation associated with the relative term <math>\mathit{l} = \text{lover of}\,\underline{~~~~}.</math> | | Given a universe of discourse <math>X,\!</math> suppose that <math>L \subseteq X \times X\!</math> is the 2-adic relation associated with the relative term <math>\mathit{l} = \text{lover of}\,\underline{~~~~}.</math> |
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− | Recall the definition of the local flags for such a relation: | + | Recall the definition of the ''local flags'' for such a relation: |
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| {| align="center" cellspacing="6" width="90%" | | {| align="center" cellspacing="6" width="90%" |
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| L_{u \,\text{at}\, 1} & = & \{ (u, x) \in L \} | | L_{u \,\text{at}\, 1} & = & \{ (u, x) \in L \} |
| \\[6pt] | | \\[6pt] |
− | & = & \text{the set of ordered pairs in}~ L ~\text{with}~ u ~\text{in the 1st place}. | + | & = & \text{the set of ordered pairs in}~ L ~\text{that have}~ u ~\text{in the 1st place}. |
| \\[9pt] | | \\[9pt] |
| L_{v \,\text{at}\, 2} & = & \{ (x, v) \in L \} | | L_{v \,\text{at}\, 2} & = & \{ (x, v) \in L \} |
| \\[6pt] | | \\[6pt] |
− | & = & \text{the set of ordered pairs in}~ L ~\text{with}~ v ~\text{in the 2nd place}. | + | & = & \text{the set of ordered pairs in}~ L ~\text{that have}~ v ~\text{in the 2nd place}. |
| \end{array}</math> | | \end{array}</math> |
| |} | | |} |