Sentence examples for assigned the relation from inspiring English sources
Then we want to count a second-order sentence of the form ∀P φ (where P is a k-place predicate variable) as being true in this structure if for every set Q of k-tuples of members of A, we have that φ is true in the structure when P is assigned the relation Q.
For a k-place predicate variable P, M ⊨ ∀P φ[s] iff for every k-ary relation Q on A, we have M ⊨ φ[s′] where s′ differs from s only in assigning the relation Q to the predicate variable P. (Here "iff" abbreviates "if and only if").
For example, in Figure 3, the subject and the object relations are assigned the same relation types, NP, and are not distinguishable.
Then f is an isomorphism from M to a structure whose universe is the disjoint union of a set A and its power set P(A) and which assigns A to I, assigns P(A) to S, and assigns the membership relation ∈ to E. So roughly speaking, σ defines the power-set operation "to within isomorphism".
Then to express the idea that S is the power set of I we can use the conjunction (call it σ) of the following four sentences: Clearly σ is true in any structure whose universe is the disjoint union of a set A and its power set P(A) and which assigns A to I, assigns P(A) to S, and assigns the membership relation ∈ to E. Conversely, let M be any model of σ (in the standard semantics).
The numbers obtained are assigned the physical meaning, and their mutual relations are highlighted.
Check Page 46: "The Company employs governmental relations and public policy personnel who are assigned the responsibility of... maintaining the goodwill and understanding of public officials".
Chromosomes with strong syntenic relations between date palm and oil palm were assigned the same color.
Chromosomes with strong syntenic relations between date palm and coconut palm were assigned the same color.
Usually assigned the variable r.
