Sentence examples for bounded set of a from inspiring English sources
It is known that every bounded set of a metric space is the attractor of an IIFS containing constant functions.
Let S be a bounded set of a real Banach space E. Let α ( S ) = inf { δ > 0 | S = ⋃ i = 1 m S i with diam ( S i ) ≤ δ, i = 1, 2, …, m }.
Bringing 10 libraries together starts to help define a bounded set of all of the medical books published in the 19th century.
If for a convex, closed, and bounded set of, then has a fixed point in.
where a ∈ C 1 and Ω is an open bounded set of R 2 with a regular boundary Γ.
Rather than trying to create the next hot app and having to invest heavily in marketing and distribution before validating scalable demand, it may make more sense to build a bounded set of functionality and become an arms merchant for other developers.
This shows that the operator ℬ is continuous and maps a bounded set of L 1 ( Ω, X ) into a bounded set of L 1 ( Ω, X ).
By considering only a bounded set of viewing positions, the plenoptic function reduces to a 4D function known as the lumigraph[24].
It is clear that F is a bounded set of (C_{r}[0, h]) if and only if E is a bounded set of (C[0, h]).
(K_{p} I-Q N overline{Omega})) is a relative compact set of X, (QN(overline{Omega} I-Q N overline{Omega} Y. ([17]).
The mapping f is continuous and bounded on a bounded set of H. Remark 3.1 (1) If f is Lipschitz continuous, then f is bounded on a bounded set of H, but the continuity and boundedness cannot ensure the Lipschitz continuity.
