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a guest Aug 19th, 2019 52 Never
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  1. a = Piecewise[{{0.125 (0.1 + 0.1 (11.5 - 1 [Beta])),
  2.         8 < [Beta] < (11.4)}}]
  3.  b = Piecewise[{{0.375 (0.1 + 0.1 (10.5 - 1 [Beta])),
  4.         8 < [Beta] < (10.4)}}]
  5.  c = Piecewise[{{0.375 ((10.5 - 1 [Beta])), (10.4) < [Beta] < 12}}]
  6.  
  7.  functions={a,b,c}
  8.  
  9.  d = FullSimplify[PiecewiseExpand[Max[functions]], 0 <= β <= 12]
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