MyWikiBiz, Author Your Legacy — Friday November 22, 2024
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45 bytes added
, 15:45, 16 November 2012
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| | <math>L_{M \,\text{at}\, j} = \{ (x_1, \ldots, x_j, \ldots, x_k) \in L : x_j \in M \}.\!</math> | | | <math>L_{M \,\text{at}\, j} = \{ (x_1, \ldots, x_j, \ldots, x_k) \in L : x_j \in M \}.\!</math> |
| |} | | |} |
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| + | Returning to dyadic relations, it is useful to describe some familiar classes of objects in terms of their local and numerical incidence properties. Let <math>L \subseteq S \times T\!</math> be an arbitrary dyadic relation. The following properties of <math>L\!</math> can then be defined. |
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| <pre> | | <pre> |
− | Returning to dyadic relations, it is useful to describe some familiar classes of objects in terms of their local and numerical incidence properties. Let R c SxT be an arbitrary dyadic relation. The following properties of R can then be defined:
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| R is total at S iff R is ³1 regular at S. | | R is total at S iff R is ³1 regular at S. |
| R is total at T iff R is ³1 regular at T. | | R is total at T iff R is ³1 regular at T. |