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Therefore, it is bounded in the space.
Therefore, it is bounded to the text, even though it does not depend solely on it [23].
Similar(58)
Since P 2 ψ is continuous and has a limit when t → ∞ it is bounded and therefore P 2 : S ϕ → S ϕ. 2. P 2 is contracting on S ϕ.
Therefore, (V t)) is bounded.
Therefore, J is bounded from below.
end{aligned} Therefore, (Omega_{2}) is bounded.
Therefore, D is bounded, convex, and closed.
Therefore ({u_{m}}) is bounded in V.
Therefore, ψ is bounded away from zero on (mathbb {D}).
Therefore ψ is bounded and increases from −1 to +1.
Therefore, A is bounded in X, which further implies that A is partially bounded in X.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com