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- a = Piecewise[{{0.125 (0.1 + 0.1 (11.5 - 1 [Beta])),
- 8 < [Beta] < (11.4)}}]
- b = Piecewise[{{0.375 (0.1 + 0.1 (10.5 - 1 [Beta])),
- 8 < [Beta] < (10.4)}}]
- c = Piecewise[{{0.375 ((10.5 - 1 [Beta])), (10.4) < [Beta] < 12}}]
- functions={a,b,c}
- d = FullSimplify[PiecewiseExpand[Max[functions]], 0 <= β <= 12]
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