Sentence examples for i is continuous for from inspiring English sources

(i) is continuous for all ; (ii).

(i) is continuous for all ; (ii)for all, one has.

(i) is continuous for all ; (ii) for each, and.

Hence, we have S is continuous since β i is continuous for each i.

(i) is continuous for all,,  for all ;   (ii),  for all,.  . is continuous for all,,  for all ;,  for all,.

(i) is continuous for all,, for all ;   (ii) (, for all, where (222)  . is continuous for all,, for all ; (, for all, where (222).

A sequence space X is called a BK-space if it is a Banach space with the maps p i : μ ⟶ C defined by p i ( x ) = x i being continuous for all i ∈ N, where ℂ denotes the complex field and N = { 0, 1, 2, … }.

(i) is continuous on ; (ii) for all and there exists a constant for any such that.

Let then is said to belong to class, if (i) is continuous in and, for each,, and exist.

Then, from the above discussion we know that ( p ) n i is continuous on J for every i ∈ N and p n i ( t ) ≤ p ( t ) ; p n i ( t ) → p ( t ), ∀ t ∈ ( 0, 1 ) as i → + 1.

ψ ( ⋅, i ) is uniformly continuous in O ¯, and φ ( ⋅, i ) is continuous on ∂O, both for each i ∈ M.  .