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where α r and β r determine the shape and the dynamic range of the function, and we modify this equation to the three-parameter raised-cosine type function which is a time-scaled and shifted version of (4) in accordance with the muting curve: begin{array}rcl@ G_{r}(n) = frac{1}{2}lefrac{-n+gamma_{r}gamma_{r}{22 gamma_{r}}right)+1right] end{array} (5).
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Rakopoulos and Hountalas [24] modified this equation into the form dot; q w = 1.99 S p 1 / 3 p T 1 / 2 T − T w.
According to this idea, we can modify Equation 18 to Equation 20 to calculate p′ λ rather than p i.
For this reason, we modified the equation by logistic regression to obtain a simple form for clinical use.
It is notoriously hard to modify the equations of general relativity without damaging the theory beyond repair.
This line passes through a point (tA, ΔTA2) only by modifying the equation as follows t+αi.ΔT2− tRi+ei) = 0, where ei = tA+αi.ΔAT2−tRi (Fig 13A).
But technology hasn't modified the equation of darkhouse spearing.
Besides, solitary wave solutions for modified forms of this equation were developed by Wazwaz [20].
To overcome this, we modify Equation (30) in the following way f i w ( x, y ) = f i - 1 w ( x, y ) + α ⋅ 1 r ( x, y ) ⋅ w i ( x, y ) (31).
The distinction between these two types of disturbance can be illustrated if we modify equation (2): 3 In this new version of the model, two new parameters are introduced to allow (i) for effects on fitness with changes in the number of individuals in the population to vary (c) and (ii) for density-independent nonselective reductions in fitness (d).
This modified Kozeny equation includes a parameter reflecting the type of pore system, and usually this parameter is to be considered a constant for a specific sandstone unit.
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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