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(25 where (P_{T_i}^{k + 1*}) is the correcting of the preliminary target assignment for i th VPP; ξ is the range of η for limiting capacity.
Where θ w is the volumetric moisture content; θ s is the saturated volumetric moisture content; ψ is the matric suction; a is the approximate air-entry value of the soil; n is a parameter that controls the slope at the inflection point in the SWCC; m is a parameter related to the residual moisture content; e is the natural number, 2.71828; and C is the correcting function defined by eq. (2).
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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