bernstein/examples/philippe3vars3pars.out

   1
   2 ===============================================
   3
   4 Domain:
   5          M + L  >= 0
   6          N - M - L  >= 0
   7          L  >= 0
   8           1 >= 0
   9
  10 -----------------------------------------------
  11 Coefficients:
  12
  13         1/4*N-N*L*M-1/2*N*L^2-3/2*L^2*M-1/2*N*M^2+3/4*L-1/4*M-1/2*M^3-3/2*L*M^2-1/2*L^3
  14         3/4*N-3/4*N*L*M-1/4*N*M-1/4*N*L-3/8*N*L^2-3/8*L^2*M-3/8*N*M^2+1/4*L*M+1/8*N^2+1/4*L-1/8*N^3-3/4*M-3/8*N^2*L+1/8*L^2-1/8*M^3-3/8*L*M^2-3/8*N^2*M+1/8*M^2-1/8*L^3
  15         -3*L^2*M+L-M^3-3*L*M^2-L^3
  16         1/2*N-N*L*M-1/12*N*M-1/12*N*L-1/2*N*L^2-3/4*L^2*M-1/2*N*M^2+1/12*L*M+1/24*N^2+1/2*L-1/2*M-1/4*N^2*L+1/24*L^2-1/4*M^3-3/4*L*M^2-1/4*N^2*M+1/24*M^2-1/4*L^3
  17         Minimum coefficient(s): {1/4*N-N*L*M-1/2*N*L^2-3/2*L^2*M-1/2*N*M^2+3/4*L-1/4*M-1/2*M^3-3/2*L*M^2-1/2*L^3,3/4*N-3/4*N*L*M-1/4*N*M-1/4*N*L-3/8*N*L^2-3/8*L^2*M-3/8*N*M^2+1/4*L*M+1/8*N^2+1/4*L-1/8*N^3-3/4*M-3/8*N^2*L+1/8*L^2-1/8*M^3-3/8*L*M^2-3/8*N^2*M+1/8*M^2-1/8*L^3,-3*L^2*M+L-M^3-3*L*M^2-L^3,1/2*N-N*L*M-1/12*N*M-1/12*N*L-1/2*N*L^2-3/4*L^2*M-1/2*N*M^2+1/12*L*M+1/24*N^2+1/2*L-1/2*M-1/4*N^2*L+1/24*L^2-1/4*M^3-3/4*L*M^2-1/4*N^2*M+1/24*M^2-1/4*L^3}
  18         Maximum coefficient(s): {1/4*N-N*L*M-1/2*N*L^2-3/2*L^2*M-1/2*N*M^2+3/4*L-1/4*M-1/2*M^3-3/2*L*M^2-1/2*L^3,3/4*N-3/4*N*L*M-1/4*N*M-1/4*N*L-3/8*N*L^2-3/8*L^2*M-3/8*N*M^2+1/4*L*M+1/8*N^2+1/4*L-1/8*N^3-3/4*M-3/8*N^2*L+1/8*L^2-1/8*M^3-3/8*L*M^2-3/8*N^2*M+1/8*M^2-1/8*L^3,-3*L^2*M+L-M^3-3*L*M^2-L^3,1/2*N-N*L*M-1/12*N*M-1/12*N*L-1/2*N*L^2-3/4*L^2*M-1/2*N*M^2+1/12*L*M+1/24*N^2+1/2*L-1/2*M-1/4*N^2*L+1/24*L^2-1/4*M^3-3/4*L*M^2-1/4*N^2*M+1/24*M^2-1/4*L^3}
  19
  20
  21 ===============================================
  22
  23 Domain:
  24          M + L  >= 0
  25          - N + M + L  >= 0
  26          L  >= 0
  27           1 >= 0
  28
  29 -----------------------------------------------
  30 Coefficients:
  31
  32         L-N^3
  33         1/3*N+2/3*L-N^3-1/3*M
  34         N-N^3-M
  35         2/3*N+1/3*L-N^3-2/3*M
  36         Minimum coefficient(s): {N-N^3-M}
  37         Maximum coefficient(s): {L-N^3}
  38
  39
  40 ===============================================