Sentence examples for this definition implies from inspiring English sources

This definition implies the metalogical principles of excluded middle and contradiction, which both are equivalent to the principle of bivalence.

This definition implies that every final product (building) is almost unique, and processes cannot be easily standardized or automated.

This definition implies that the first step in economic analysis is to determine what ends are desirable for society.

This definition implies a longer wait time as compared to exact days.

This definition implies that the lead organization assumes the responsibilities incumbent on all entities that lead a network of organizations.

As this definition implies, identity of a chemical substance is determined by its constituent units and properties.

These organisation psychopaths, as the definition implies, are people who score highly on the psychopathy checklist and work in organisations.

Then the definition implies that 0 ∈ ρ(A).

Observe that the definition implies that L ∞, ∞ = L ∞.

Let (A inTheta^{gamma}_{omega}(X)), then the definition implies that (0 inrho(A)).

Remark 1.2 Let A ∈ Θ ω γ ( X ), then the definition implies that 0 ∈ ρ ( A ).