Sentence examples for clearly is bounded from inspiring English sources

From assumption (H2),, so, clearly is bounded.

Suppose that is a bounded sequence in such that for some We assume that is a sequence in such that and is a point in such that Clearly, is bounded.

This is in fact the correct choice as we are interested in the error propagation and not in the initial projection error (which clearly is bounded by C h 2 in this case).

Clearly, D is bounded.

Clearly, T is bounded and monotone.

Proof Clearly K is bounded and nonconvex.

In view of [28], we can infer that (HU) implies that (U_{ad}neq emptyset ) and, clearly, (U_{ad}) is bounded, closed and convex, and (Buin L^{p}([0,c], X)).

Clearly, MJFI is bounded between 0 and 1 with the maximum achieved by the balanced rate vector ( R ̂ ). Figure 3 shows the MJFI for the proposed algorithm with weights optimized to achieve the balanced rate vector using the algorithm in [12].

Clearly, the function is bounded for and satisfies condition (H1).

Clearly, φ 1 is bounded below on X since φ is bounded above, and x 0 ⪯ 1 T x 0 by T x 0 ⪯ x 0. It is easy to check that (3) is satisfied for ⪯1 and φ 1, and T is increasing with respect to ⪯1.

Clearly, the relative error is bounded by the inter-agent ranging while the absolute error grows slower the larger the number of agents.