Sentence examples for be the closed ball from inspiring English sources

and let be the closed ball in of radius.

Let B r be the closed ball in X centered at origin with radius r.

Let be the closed ball in at center zero with radius such that.

In fact, let (B(r)) be the closed ball B(r):= Bigl{ win operatorname{PAP}bigl(X^{1+epsilon}bigr): sup _{tinmathbb{R}}biglVert w(t bigrVert _{X^{1+epsilon}}le r Bigr}.

Let E be a real uniformly convex Banach space and let (B_{r}(0)) be the closed ball of E with center at the origin and radius (r>0).

Fix n ∈ N, let Q n be the closed ball centered at the origin and of radius n of C ( [ a, b ] ; E ), and denote by T n = T ⌊ Q n : Q n ⊸ C ( [ a, b ] ; E ) the restriction of the operator T on the set Q n.

Let (a>0), and let B and X be the closed balls in (mathbf{R}^{n}), centered at the origin with radius b and M, respectively, with (ale b/M).

Our result is the following: let a, b, M be positive real numbers, with (Mcdotmax{a,a^{k}}le b), and let B and X be the closed balls in (mathbf{R}^{n}), centered at the origin with radius b and M, respectively.

where is the closed ball of.

Let be a weakly closed mapping where is the closed ball with center and radius.

(BsubsetRe^{n}) is a closed ball and (B x,Delta)) is the closed ball centered at x, with radius (Delta>0).