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Exact(4)
(17) We fix the function θ in (17) and pass to the limit as (ktoinfty).
To complete the proof we fix the function f and the parameters r, s, a and we choose the parameters p 0 i, p 1 i, i = 0, 1 satisfying (11).
Substituting these functions in (11) corresponding to (t_{k}), yields the equality {eta}_{k}in K_{t_{k}}',quad B({ eta}_{k}-{eta},{phi})=0. (13) We fix the function ϕ in (13) and pass to the limit as (ktoinfty).
(16) Fix the function θ.
Similar(56)
fix the functions of any such Administration, office, facility, or activity and the duties and powers of their respective executive heads.
By the assumption that is continuous in for each fixed, the function is continuous for all.
This follows from the fact that for a fixed, the function (3.6). is nondecreasing.
(A4) For each fixed, the function is convex and lower semicontinuous.
(ii)hemicontinuous if, for any fixed, the function is continuous at.
For each fixed, the function is finite on, because from the definition of the fundamental frequency it follows that (5.36).
The mapping is said to be -hemicontinuous if, for any fixed, the function defined by is continuous at.
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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