Sentence examples for be a compact set from inspiring English sources

Let (pin[1,infty]), (varepsilongeq0) and (Fsubsetmathbb {R}^{d}) be a compact set.

Let (pin[1,infty]) and (Fsubsetmathbb{R}^{d}) be a compact set.

Let K be a compact set containing the supp s n for every n ∈ N. Using Δ + 1, we write | x k D m ( f 1 ⋆ s n − f 1 ) ( x ) | ≤ ∫ K | s n ( t ) | | x k D m ( f 1 ( x − t ) − f 1 ( x ) ) | d t. (3.1).

Let be a compact set, and.

Let (varepsilonin 0,1)), and let (Ksubset G) be a compact set with (lambda(K >0).

Let be a compact set with Then has the weak fixed point property.

Furthermore, it follows from and the compactness of that is a compact set.

Next, it follows from and the compactness of that is a compact set.

Then is a compact set and is a compact set.

Then,,, and are compact sets and is a compact set.

Thus X is a compact set.