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There was a fashion mission: to bring skirt lengths down, without making the change of silhouette seem constricting or unnerving.
Making the change of variable, (2.67) follows.
On making the change of variable, we have (4.5).
Making the change of variable, we arrive to (2.83).
Making the change of variable,, and choosing, we get (2.85).
Making the change of variable we get for (2.94).
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Numerical illustrations for optimal control induced problems (12) and (13) are done, and we perform optimality test of the system by making the changes of the variable (tau= t/t_{f}) and transferring the interval ([0, 1]).
Moreover, the strong hierarchy of the consecutive steps in our approach makes the change of group clear.
Firstly, we make the change of variable (2.11).
Now, we make the change of variable : (2.117).
Now, make the change of variables z ̃ = ṽ w ̃ = U v w where U = 1 2 1 1 1 - 1.
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