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        "author": "Joscha Diehl",
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        "description": "linear-combination\n------------------\n\nA small library implementing linear combinations of \"stuff\".\nSuch a linear combination is stored as a map, mapping \"stuff\" to its coefficient.\nThat is {\"a\" 5, \"b\" 17} stands for the linear combination 5 * \"a\" + 17 * \"b\"::\n\n    import linear_combination.linear_combination as lc\n    lc1 = lc.LinearCombination( {\"x\":7,\"y\":8} )\n    lc2 = lc.LinearCombination( {\"x\":2.1, \"z\":3} )\n    print( lc1 + lc2 )\n    # => \"+9.10 x +8 y +3 z\"\n\nThe main application is to `Hopf Algebras <https://en.wikipedia.org/wiki/Hopf_algebra>`_.\nThe package comes with two sample implementations of Hopf algebrase;\nthe concatenation Hop algebra and, its dual, the shuffle algebras (Reutenauer - Free Lie algebras).\n\nMuch of its code is borrowed from `free-lie-algebra-py <https://github.com/bottler/free-lie-algebra-py>`_, by Jeremy Reizenstein::\n\n    import linear_combination.linear_combination as lc\n    import linear_combination.words as words\n\n    print( lc.LinearCombination.lift( words.ShuffleWord( (1,2 ) ) ) * lc.LinearCombination.lift( words.ShuffleWord( (3,4 ) ) ) )\n    # => +1 1234 +1 1324 +1 1342 +1 3124 +1 3142 +1 3412\n\n\nInstallation\n------------\n\nInstall with::\n\n    pip install linear-combination-py\nor::\n    pip install git+git://github.com/diehlj/linear-combination-py\n\nCopyright \u00a9 2018 Joscha Diehl\n\nDistributed under the `Eclipse Public License <https://opensource.org/licenses/eclipse-1.0.php>`_.\n\n\n",
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        "license": "Eclipse Public License",
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