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The microhardness of the films had a minimal value at the annealing temperature of 1173 K.
Finally, at 10°C, stabilization was reached at 26% and the minimal value at 23.6%.
This indicates that the (y^) reaches its minimal value at (tau_{M}).
Classical calculus shows that attains its minimal value at some point, and then there exist such that.
And the whiten image as the channel minimal value at each pixel of gray or color image is derived as[19]: g ( x ) = min I ( x ) (5).
It follows that if u = u ( x ) is a solution of (2.4), then F ( u ) must attain its local minimal value at a point in.
Similar(50)
Friction velocities behind the fences reach minimal values at positions II and III.
In addition, (g'(x)) takes its maximal and minimal values at (x=x_{1}) and (x=x_{2}), respectively.
When the period is given as a function of, it reaches the minimal values at ρ = 0. 7228.
When the period is given as a function of β or K, it reaches the minimal values at.
If (A, Bin R^) and (Cin R), then the function (f(x)=Ax^{n}-Bx+C) has a minimal value point at (x_{0}=(frac {B}{nA})^{frac{1}{n-1}}) when n is a positive even number.
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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