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        "description": "[clifford](http://clifford.readthedocs.org/en/latest/): Geometric Algebra for 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&branchName=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\n\nQuick Installation\n------------------\nRequires Python version >=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| << |  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\nAs linked at the top of this page, `clifford` is published to zenodo.\nDOI [10.5281/zenodo.1453978](https://doi.org/10.5281/zenodo.1453978) refers to all versions of clifford.\n\n\nTo obtain BibTex citation information for a _specific_ release (recommended):\n\n* Run `python -m pip show clifford` to determine which version you are using (or print `clifford.__version__` from python)\n* Click on the corresponding version from [this list of versions](https://zenodo.org/search?page=1&size=20&q=conceptrecid:1453978&sort=-version&all_versions=True)\n* Scroll down to the bottom of the page, and click the \"BibTex\" link in the \"Export\" sidebar\n\nIf you want to cite all releases, use:\n```tex\n@software{python_clifford,\n  author       = {Hugo Hadfield and\n                  Eric Wieser and\n                  Alex Arsenovic and\n                  Robert Kern and\n                  {The Pygae Team}},\n  title        = {pygae/clifford},\n  publisher    = {Zenodo},\n  doi          = {10.5281/zenodo.1453978},\n  url          = {https://doi.org/10.5281/zenodo.1453978}\n}\n```\n\n\n",
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