Sentence examples for equivalent 1 from inspiring English sources

Then the following are equivalent: 1.

Then the following assertions are equivalent: (1) is exponentially stable.

The following statements are equivalent: (1) ( X, ∥ ⋅, ⋅ ∥ ) is strictly convex.

The following assertions are equivalent: (1) (Theta in mathfrak I_c).

The following assertions are equivalent: 1. a(x) is regular.

Then the following are equivalent: (1) is sunny and nonexpansive, (2).

The following assertions are equivalent: 1. 〈 u, u 〉 is positive definite,   2.

If is an equilibrium flow, then the following inequalities are equivalent: (1).

The following two properties are equivalent: 1. (mathcal {A}) is uniformly integrable;   2.

The following properties are equivalent: 1) φ is strongly time consistent.

Then the following are equivalent: (1) ({mathcal A}) is algebraically amenable.