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We show that its formal forcing term is κ-summable and that its κ-sum is an acceleration of the (m_{k_{1}} -Borel transform of the above formal forcing term.
In the last section, we study the particular situation when the formal forcing term (F T,m,epsilon)) solves a linear differential and convolution initial value problem; see (204).
Additionally, (U^{d}(T,m,epsilon)) solves our primary convolution equation (70), where the formal forcing term (hat{F}(T,m,epsilon)) is interchanged with (F^{d}(T,m,epsilon)), which denotes the ((m_{k_{2}},m_{k_{1}}))-sum of (hat{F}) in the direction d.
In the sequel, we focus on the solution (omega_{k_{2}}^{d} tau,m,epsilon)) of the convolution problem (129) which is similar to (123) but with the formal forcing term (hat{psi}_{k_{2}} tau,m,epsilon)) replaced by (psi _{k_{2}}^{d} tau,m,epsilon)).
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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