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.

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.

Now, we show that z ∈ VI ( C, A i ) for each i ∈ { 1, 2, …, N }.

The DM defines the aspiration level a i for each objective i.

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.

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).

Suppose we have the multiset L ∼ = { a ∼ 1, …, a ∼ m } of observed frequencies and a corresponding VAF error vector ε = (ε1, …,ε m) for L ∼, where ε i is the maximum possible error in observing a ∼ i for 1 ≤ i ≤ m.

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.