Sentence examples for bounded there is a from inspiring English sources

To see (b), since { x n } is bounded, there is a subsequence { x n k } ⊂ { x n } and z ∈ H such that x n k ⇀ z.

Since ({x_{n}}) is bounded, there is a subsequence ({x_{n_{i}}}) of ({x_{n}}) that converges weakly to a point z.

Since p is continuous and bounded, there is a constant r 3 > 0 such that | p k ( t ) − p k ( t 0 ) | ≤ r 3 | t − t 0 |.

Since (A_{2}(C subset D) is uniformly bounded, there is a constant (overline{M}>0) satisfying (|A_{2}z|_{E}leqoverline{M}) for any (zin C).

Since ∥ u ϵ ∥ X is bounded, there is a sequence ϵ n → 0 ( n → ∞ ) with ϵ n ∈ ( 0, ϵ 0 ) and a function u ∈ X such that u ϵ n ⇀ u as  n → ∞.

Choose a positive constant R such that | b ( r ) | ≤ ε r for all r ≥ R. Since b is locally bounded, there is a nonnegative constant C R such that | b ( r ) | ≤ C R for all r ∈ [ 0, R ].

As the visual arts scene in Kampala is growing leaps and bounds, there is a need to establish more non-commercial show spaces to support and showcase contemporary art.

Since ( x n ) is bounded, there exist a, b ∈ Y such that a ⪯ x n ⪯ b for all n.

Since (C_{psi,varphi}^{ast}) is bounded below, there is a constant (c > 0) such that (|C_{psi,varphi}^{ast} f|_{gamma} geq c|f| _{gamma}) for all f.

Using Assumption 1, we know that sequence ({ x_{k} }) is bounded, and there is a positive constant η such that (Vert x_{k} Vert le eta) for all (k ge 1).

F is called bounded if there is a real constant K ≥ 0 such that | F ( a 1, …, a n ) | ≤ K ∥ a 1, …, a n ∥ for all ( a 1, …, a n ) ∈ D ( F ).