Sentence examples for a relation over from inspiring English sources

Obviously membership as a relation over a domain of individuals and sets is not invariant under all permutations of that domain, so it is not declared a logical notion of the language of set theory by Tarski's proposed definition.

Analysing both randomisation groups separately also did not reveal a relation over HbA1c (data not shown).

If sequences of reversals are identified as words, Bergeron et al. define a relation over them: if ρ and θ are reversals (intervals) and they show no overlap, then the words ρθ and θρ are said to be equivalent.

When a relation came over from New Zealand and kept calling her Auntie Betty, I could see her getting crosser and crosser.

Theorem 3.3 Let ( X, d ) be a complete metric space, let ℛ be a binary relation over X, and let A and B be two non-empty, closed subsets of X. Assume that A 0 and B 0 are non-empty sets and T : A → B such that the following conditions hold: (A) T is a proximal comparative mapping;  .

Theorem 25 Let ( X, d ) be a complete metric space, ℛ be a binary relation over X and T : X → X be a comparative generalized- -Meir-Keeler contractive mapping.

Let ( X, d ) be a metric space and ℛ be a binary relation over X.

Theorem 26 Let ( X, d ) be a complete metric space, ℛ be a binary relation over X and let S, T : X → F ( X ) and α : X → ( 0, 1 ] be three mappings such that the following properties are fulfilled.

Definition 4.1 Let ( X, d ) be a b-metric space and ℛ be a binary relation over X.

A system of this kind defines a Kripke-structure with an equivalence relation over points.

These properties allow inferring a preference relation over many alternatives on the basis of only a few observations.