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pureBettiDiagram(List) -- pure Betti diagram given a list of degrees

Synopsis

Description

See pureBetti for a description of the Herzog-Kuhl equations.
i1 : pureBettiDiagram{0,2,4,5}

            0  1  2 3
o1 = total: 3 10 15 8
         0: 3  .  . .
         1: . 10  . .
         2: .  . 15 8

o1 : BettiTally
i2 : pureBettiDiagram{0,3,4,5,6,7,10}

            0  1   2   3   4  5 6
o2 = total: 1 50 175 252 175 50 1
         0: 1  .   .   .   .  . .
         1: .  .   .   .   .  . .
         2: . 50 175 252 175 50 .
         3: .  .   .   .   .  . .
         4: .  .   .   .   .  . 1

o2 : BettiTally
i3 : pureBettiDiagram{0,3,4,5,6,7,8,11}

            0  1   2   3   4   5  6 7
o3 = total: 1 77 330 616 616 330 77 1
         0: 1  .   .   .   .   .  . .
         1: .  .   .   .   .   .  . .
         2: . 77 330 616 616 330 77 .
         3: .  .   .   .   .   .  . .
         4: .  .   .   .   .   .  . 1

o3 : BettiTally

See also

Ways to use this method: