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Let F be a Borel bounded function on [−a,a], SpL2T⊂[−a,a].
Let (g(t)) be a continuous bounded function on ([0,infty)).
It is clear that any bounded function on is in, but the converse is not true.
we obtain an equation with a bounded function on the right-hand side, where (4.11).
As the results, he proved that if,, is a bounded function on, then either there exist, not both zero, such that is a bounded function on, or else,, respectively.
Let p 1 , p 2 ∈ P , p 3 ∈ P 0 , and m be a bounded function on R 2 n.
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Let k and h be bounded functions on (I=[0,1]) and s an integrable bounded function on I with (M_{1}=sup_{tin I}|k(t)|), (M_{2}=sup_{tin I}|s(t)| <infty) and (M_{3}=sup_{tin I}|h(t)| <infty).
We investigate the properties of the singular values of the quantised derivatives of essentially bounded functions on Rd with d>1.
It generates a linear semigroup acting on differentiable bounded functions on : (1.1).
Let denote the space of all -valued bounded functions on with (2.5).
Denote by (_{b}mathscr{E}) the set of bounded functions on (mathscr{E}).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com