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Python\n=========================================================\n\n[![PyPI](https://badgen.net/pypi/v/clifford)](https://pypi.org/project/clifford/)\n[![DOI](https://zenodo.org/badge/26588915.svg)](https://zenodo.org/badge/latestdoi/26588915)\n[![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/pygae/clifford/master?filepath=examples%2Fg3c.ipynb) \n[![Documentation Status](https://readthedocs.org/projects/clifford/badge/?version=latest)](http://clifford.readthedocs.io/en/latest/?badge=latest)\n[![Build Status](https://github.com/pygae/clifford/actions/workflows/python-package.yml/badge.svg?branch=master)](https://github.com/pygae/clifford/actions/workflows/python-package.yml)\n[![Build Status](https://dev.azure.com/hadfieldhugo/clifford/_apis/build/status/pygae.clifford?branchName=master)](https://dev.azure.com/hadfieldhugo/clifford/_build/latest?definitionId=1\u0026branchName=master)\n[![codecov](https://codecov.io/gh/pygae/clifford/branch/master/graph/badge.svg)](https://codecov.io/gh/pygae/clifford)\n\n`clifford` is a numerical Geometric Algebra (a.k.a. Clifford algebra) package for python.\n\n- **Documentation:** http://clifford.readthedocs.org\n- **Source code:** https://github.com/pygae/clifford\n- **Bug reports:** https://github.com/pygae/clifford/issues\n\nGeometric Algebra (GA) is a universal algebra which among several other independent mathematical systems, subsumes:\n* Complex numbers\n* Quaternions\n* Linear algebra\n\nScalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this, \n\n![Visual explanation of blades](https://raw.githubusercontent.com/pygae/clifford/master/docs/_static/blades.png)\n \nQuick Installation\n------------------\nRequires Python version \u003e=3.5\n\nInstall using `conda`:\n```\nconda install clifford -c conda-forge\n```\nInstall using `pip`:\n```\npip3 install clifford\n```\n[Detailed instructions](https://clifford.readthedocs.io/en/latest/installation.html)\n\nQuickstart\n----------\n\nTry out a notebook in [binder](https://mybinder.org/v2/gh/pygae/clifford/master?filepath=examples%2Fg3c.ipynb)\n\nOr have a go on your own pc:\n```python\nfrom clifford.g3 import *  # import GA for 3D space\nfrom math import e, pi\na = e1 + 2*e2 + 3*e3 # vector \nR = e**(pi/4*e12)    # rotor \nR*a*~R    # rotate the vector  \n```\n\nSyntax Summary\n----------\n\n| Syntax  | Operation |\n|:-:|:-:|\n| \\| |  Symmetric inner product |\n| \u003c\u003c |  Left contraction |\n|  ^ | Outer product  |\n| *  |  Geometric product |\n| X\\(i\\)  |  Return the section of the multivector X of grade i |\n| X\\(ei\\)  |  Return the section of the multivector X for which ei is the pseudo scalar |\n| X\\[i\\]  | Return the i'th coefficient from the multivector X\n| X.normal() | Return the normalised multivector so that X*~X is +- 1 |\n\n---\n\nFor installation instructions, api documention, and tutorials, [head over to our documentation](https://clifford.readthedocs.io/)!\n\nCiting This Library\n-------------------\n\nFor citation information, see [our `CITATION.md` file](https://github.com/pygae/clifford/blob/master/CITATION.md).\n","funding_links":[],"categories":["Python","Uncategorized"],"sub_categories":["Uncategorized"],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fpygae%2Fclifford","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fpygae%2Fclifford","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fpygae%2Fclifford/lists"}