======================================================================================================
passagemath: Algebraic combinatorics, combinatorial representation theory
======================================================================================================
About SageMath
--------------
"Creating a Viable Open Source Alternative to
Magma, Maple, Mathematica, and MATLAB"
Copyright (C) 2005-2024 The Sage Development Team
https://www.sagemath.org
SageMath fully supports all major Linux distributions, recent versions of
macOS, and Windows (Windows Subsystem for Linux).
See https://doc.sagemath.org/html/en/installation/index.html
for general installation instructions.
About this pip-installable source distribution
----------------------------------------------
This pip-installable source distribution ``passagemath-combinat`` is a distribution of a part of the Sage library. It provides a small subset of the modules of the Sage library ("sagelib", ``sagemath-standard``).
What is included
----------------
* `Enumerative Combinatorics <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/enumerated_sets.html#sage-combinat-enumerated-sets>`_: `Partitions, Tableaux <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/catalog_partitions.html>`_
* `Combinatorics on Words <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/words/all.html#sage-combinat-words-all>`_, `Free Monoids <https://doc.sagemath.org/html/en/reference/monoids/index.html>`_, `Automatic Semigroups <https://doc.sagemath.org/html/en/reference/monoids/sage/monoids/automatic_semigroup.html>`_
* `Symmetric Functions <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/sf/all.html#sage-combinat-sf-all>`_, other `Algebras with combinatorial bases <https://doc.sagemath.org/html/en/reference/algebras/index.html>`_
* see https://github.com/passagemath/passagemath/blob/main/pkgs/sagemath-combinat/MANIFEST.in
Examples
--------
A quick way to try it out interactively::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-combinat[test]" ipython
In [1]: from sage.all__sagemath_combinat import *
In [2]: RowStandardTableaux([3,2,1]).cardinality()
Out[2]: 60
Available as extras, from other distribution packages
-----------------------------------------------------
* `passagemath-graphs <https://pypi.org/project/passagemath-graphs>`_:
Graphs, posets, finite state machines, combinatorial designs, incidence structures, quivers
* `passagemath-modules <https://pypi.org/project/passagemath-modules>`_:
Modules and algebras, root systems, coding theory
* `passagemath-polyhedra <https://pypi.org/project/passagemath-polyhedra>`_:
Polyhedra, lattice points, hyperplane arrangements
Development
-----------
::
$ git clone --origin passagemath https://github.com/passagemath/passagemath.git
$ cd passagemath
passagemath $ ./bootstrap
passagemath $ python3 -m venv combinat-venv
passagemath $ source combinat-venv/bin/activate
(combinat-venv) passagemath $ pip install -v -e pkgs/sagemath-combinat
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