This is the command 4ti2-minimize that can be run in the OnWorks free hosting provider using one of our multiple free online workstations such as Ubuntu Online, Fedora Online, Windows online emulator or MAC OS online emulator
PROGRAM:
NAME
4ti2 - software package for algebraic, geometric and combinatorial problems on linear
spaces
SYNOPSIS
4ti2-circuits
4ti2-genmodel [--quiet] foo.mod
4ti2-gensymm [--quiet] a b c d foo
4ti2-graver [--quiet] foo[|.mat|.lat]
4ti2-groebner [--quiet|-q] [--force|-f] [--saturation|-s] [--project-and-lift|-p]
[--normal|-n] [--weighted|-w] [--gebauer-moeller|-g] [--auto-reduce-freq=N|-aN] foo
4ti2-hilbert [--quiet] foo
4ti2-markov [--quiet|-q] foo
4ti2-minimize [--quiet|-q] foo
4ti2-normalform
4ti2-output [--quiet] [--binomials] [--maple] [--0-1] [--transpose] [--degree [N]]
[--positive] [--3way a b c] foo
4ti2-ppi
4ti2-qsolve
4ti2-rays
4ti2-walk
4ti2-zbasis
4ti2-zsolve
DESCRIPTION
The software package 4ti2 is a suite of command-line tools for addressing algebraic,
geometric and combinatorial problems on linear spaces.
DATA STRUCTURE
The main concept of 4ti2 remains the same: a project is defined via a file foo[.mat]
containing the problem matrix. Related sets such as Graver basis or Markov basis are put
into foo.gra and foo.mar, respectively.
Input files and output files usually contain a matrix or a list of vectors (written as a
matrix) in a standard encoding such as
2 4
1 1 1 1
1 2 3 4
There are only few exceptions, for example in a file foo.vars containing user specified
variable names:
3
a b x
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