Sentence examples for a i for from inspiring English sources

Then the C j is sequentially added to the A i for i = 1, …, b max.

A policy can be denoted as a sequence of functions π = {f1, f2,.. fN}, where ft (1 ≤ t ≤ N) acts on S and satisfies that ft(i ∈A(i) for all i∈S.

Note the "A I" – for Alexander I. 1828 commemorative piece in Latin, lauding Czar Nicholas I, and his victories in the Greek Independence war against the Ottoman Turks.

Clause (i) is substituted for "in a form" and clause (ii) is substituted for "in accordance with paragraph (2)(A)(i)" for clarity and consistency.

This implies that z ∈ VI ( C, A i ) for all i ∈ { 1, 2, …, N }.

This implies that p ∈ GEP ( f i, A i ) for each i = 1, 2, …, m.

If ϕ : A ⟶ B is an additive mapping satisfying | ϕ ( A ) ϕ ( B ) | = ϕ ( | A B | ) for every A, B ∈ A and ϕ ( A ) = I for some A ∈ A, then ϕ is unital and the restriction of mapping ϕ to A S is a Jordan homomorphism.

Moreover, if A is a C ∗ -algebra of real rank zero and ϕ ( A ) = I for some A in the closed unit ball ( A s ) 1, then the restriction of mapping ϕ to A s is a Jordan homomorphism.

Then, there exists a set T ⊃ S, where T is admissible in F. If we consider the interpretation I characterizing T (i.e., we have inN (a ) ∈ I, for each a ∈ T, and outN (a ) ∈ I, for each a ∈ A ∖ T ), then I does not contain fail and satisfies the rules (20)–(20).

Thus limn→∞T3nx = z and z is a best proximity point of T in A i. For the next proof we will follow the idea in [8], how to use a variational principle to prove a fixed point theorem.

Furthermore, the rate of HSC self-renewal (a1) has to be larger than the corresponding rates for the other compartments (a 1>a i for i=2,3,4,5).