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D.13.4.12 tropicalise
Procedure from library tropical.lib (see tropical_lib).
- Usage:
- tropicalise(f[,#]); f polynomial, # optional list
- Assume:
- f is a polynomial in Q(t)[x_1,...,x_n]
- Return:
- list, the linear forms of the tropicalisation of f
- Note:
- if # is empty, then the valuation of t will be 1,
if # is the string 'max' it will be -1;
the latter supposes that we consider the maximum of the
computed linear forms, the former that we consider their minimum
Example:
| LIB "tropical.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
ring r=(0,t),(x,y),dp;
tropicalise(2t3x2-1/t*xy+2t3y2+(3t3-t)*x+ty+(t6+1));
==> [1]:
==> 2*x+3
==> [2]:
==> x+y-1
==> [3]:
==> 2*y+3
==> [4]:
==> x+1
==> [5]:
==> y+1
==> [6]:
==> 0
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