Sentence examples for for every relation from inspiring English sources

Index patients were included once for every relation investigated, and could thus occur more than once in the analyses.

AC3: For any relation \(R\) between sets \(A\), \(B\), In other words, every relation contains a function having the same domain.

He also proved the Freiheitssatz (freeness theorem) for Lie algebras [207] (for every one-relation Lie algebra L i e ( X | f ), the subalgebra ⟨ X { x i 0 } ⟩, where x i 0 appears in f, is a free Lie algebra).

For a k-place predicate variable P, M ⊨ ∀P φ[s]   iff   for every k-ary relation Q in the k-place relation universe, we have M ⊨ φ [s′] M ⊨ ∀F φ[s]   iff   for every k-place function G in the k-place function universe, we have M ⊨ φ [s′] But for second-order logic, we do not really want the 1-place relation universe to be an arbitrary collection of subsets of the universe.

Kraus, Lehmann, and Magidor proved that, for every preferential consequence relation that is probabilistically admissible,[5] there is a unique rational consequence relation * that minimally extends it (that is, that the intersection of all the rational consequence relations extending is also a rational consequence relation).

In order to define the concept of natural number, Frege first defined, for every 2-place relation R, the general concept 'x is an ancestor of y in the R-series'.

2.6 Natural Numbers In order to define the concept of natural number, Frege first defined, for every 2-place relation R, the general concept 'x is an ancestor of y in the R-series'.

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").

Using a recurrence relation to calculate a number in the Fibonacci sequence requires solving the recurrence relation for every previous Fibonacci number.

Thus, the following relation for every Open image in new window and Open image in new window is reached; Open image in new window.

The main idea that experiences can (and typically do) convey information about so many objects, properties and relations in the environment that it is implausible to suppose in those cases that the subject could possess and deploy concepts for every object, property and relation that experience represents.