Sentence examples for be a gap functional from inspiring English sources

The functional D : P ( X ) × P ( X ) → R ∪ is said to be a gap functional if and only if it is defined by D ( A, B ) = { inf { d ( a, b ) ∣ a ∈ A, b ∈ B }, A ≠ ∅ ≠ B, 0, A = ∅ = B, + ∞, otherwise.

(1) The functional D : P ( X ) × P ( X ) → R ∪ is said to be a gap functional if and only if it is defined by D ( A, B ) = { inf { d ( a, b ) ∣ a ∈ A, b ∈ B }, A ≠ ∅ ≠ B, 0, A = ∅ = B, + ∞, otherwise.

(1) The functional D : P ( X ) × P ( X ) → R ∪ is said to be gap functional if and only if it is defined by D ( A, B ) = { inf { d ( a, b ) ∣ a ∈ A, b ∈ B }, A ≠ ∅ ≠ B, 0, A = ∅ = B, + ∞, otherwise.

"There's a gap.

It's a gap".

"There's a gap there".

"Yes, there is a gap.

"There is a gap now.

There is a gap.

"There was a gap.

There is a gap in this area.