4TI2(1)
π Welcome to the 4TI2(1) General Commands Manual, bestie π
β¨ NAME β¨
okay so 4ti2 π¦ is a software package for algebraic, geometric and combinatorial problems on linear spaces. the math is literally giving main character energy π
π SYNOPSIS π
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
π DESCRIPTION π
ok so the software package 4ti2 is a whole suite of command-line tools π§° built for tackling algebraic, geometric and combinatorial problems on linear spaces. it's literally a toolbox and it slays β¨
πΈ DATA STRUCTURE πΈ
the main concept of 4ti2 stays the same bestie π«Ά a project is defined via a file foo[.mat] that holds the problem matrix. related sets like the Graver basis or the Markov basis get stored in foo.gra and foo.mar, respectively π¦
input and output files usually hold a matrix, or a list of vectors written as a matrix, in a standard encoding. it's giving neat rows and columns π like this:
2 4
1 1 1 1
1 2 3 4
there are only a few exceptions π for example, the file foo.vars holds user specified variable names, like so:
3
a b x
π¦ SEE ALSO π¦
- User's Guide for 4ti2
http://www.4ti2.de/
π AUTHORS π
- Ralf Hemmecke π
- Raymond Hemmecke π
- Matthias Koeppe π
- Peter Malkin π
- Matthias Walter π
bye bestie π this page is from Debian, dated January 2015 π stay iconic π β¨
π¦ where this page comes from
- debian bookworm: 4ti2 1.6.9+ds-8 Β· GPL-2.0-or-later
- debian trixie: 4ti2 1.6.10+ds-1.1+b2 Β· GPL-2.0-or-later
- ubuntu jammy: 4ti2 1.6.9+ds-4 Β· GPL-2.0-or-later
- ubuntu noble: 4ti2 1.6.10+ds-1.1build1 Β· GPL-2.0-or-later
- ubuntu resolute: 4ti2 1.6.10+ds-1.1build1 Β· GPL-2.0-or-later
- ubuntu stonking: 4ti2 1.6.10+ds-1.1build1 Β· GPL-2.0-or-later
- π girlified by claude-haiku-5-5 on : a language model's rewrite of the original, under its terms