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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A symmetric relation can only be possible by addressing all the issues and opportunities in detail at the Intergovernmental Consultation and Strategic Dialogue Mechanism, recently formed in order to establish comprehensive and permanent relations.
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.sub.[rho]] (V)) and D is a finite set of pairs [B.sub.d], [B.sub.u] where [B.sub.d] and [B.sub.u] are finite subsets of lower and upper stickers of the forms
Define a loose graph ("L-graph") to be a triple (V, E, I),where V is a set of "vertices", E is a set of "edges" (V [upsilon] E = [??]), and I is a symmetric relation on (V x E) [upsilon] (E x V) (which indicates when a vertex and an edge are incident), with the additional property that each edge is incident with at most two distinct vertices.
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.
Each relation can be decomposed into a symmetric and an asymmetric part, written as R = I(R) [union] P(R), where I(R) is a symmetric relation and P(R) is an asymmetric relation.
A relation R is said to be symmetric relation if any two elements [x.sub.i] and [x.sub.j], [x.sub.i][Rx.sub.j] holds then also [x.sub.j][Rx.sub.i] holds.
The order of the arguments is irrelevant since "sg" is a symmetric relation. Let the instantiated set of nodes (ISN) be {}, then the answer of such a query is either TRUE if are at the same generation (i.e., the set of nodes are on the same level of a family tree), or FALSE if are not at the same generation (i.e., the set of nodes are not on the same level of a family tree).
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.
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.
A NP-soft relation [R.sub.N] on [[psi].sub.K] is said to be a NP-soft symmetric relation
But, [R.sub.1] [omicron] [R.sub.2] is symmetric if [R.sub.1] [omicron] [R.sub.2] = [R.sub.2] [omicron] [R.sub.1], for [R.sub.1] and [R.sub.2] are symmetric relations.
In general, it can be argued that modernista cosmopolitans harbor a utopian view of world literature and "posit a world of undifferentiated symmetric relations among equivalent literary cultures" (125).

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