symmetric relation


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symmetric relation

[sə′me·trik ri′lā·shən]
(mathematics)
The property of a relation on a set that requires y to be related to x whenever x is related to y.
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where V is an alphabet, [rho] [subset or equal to] V x V is the symmetric relation in V, A is a finite subset of axioms ([W.
However, in this frame we can find a second situation in which someone, using a Connector, causes two Items to be connected to each other, thus showing a symmetric relation or mutual attachment, very often together with the frame element Result represented by the adverb together, without creating a new entity.
they must be "of about the same size, rank or importance" (Kreidler 1998: 107), and there must be a symmetric relation between NP2 and NP3 (Levin 1993: 59).
The first argument is typically expressed by two noun phrases coordinated by the conjunction and showing a symmetric relation between NP1 and NP2 and also by a plural NP as subject ([NP1 plural] JOIN):
When intransitive join appears in the together reciprocal alternation (intransitive), together follows the verb and there is a symmetric relation between NP1 and NP2: [NP1 AND NP2] JOIN TOGETHER.
Results indicated that only the former participant demonstrated one symmetric relation and gradual emergence of the transitive relation and the symmetry of the transitive relation.
Symmetric relation, BA, remained at 56%, and CB dropped to 28%.
Symmetric relation, BA, dropped to 50%, and CB remained at 83% (see Figure 4).
It is in much the same way, then, that we may conceive of a symmetric relation combining with its relata to form a single complex.
The first is to treat a symmetric relation as a property of pluralities.
But it is subject to two serious objections: first, it requires us to accept argument-places or positions as entities in their own right; and, second, it leads to an erroneous account of symmetric relations.
If [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are symmetric relations on [[psi].

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