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  2. Free algebra - Wikipedia

    en.wikipedia.org/wiki/Free_algebra

    For example, X 1 X 2 does not equal X 2 X 1. More generally, one can construct the free algebra R E on any set E of generators. Since rings may be regarded as Z-algebras, a free ring on E can be defined as the free algebra Z E . Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional ...

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  4. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    PARI/GP is a computer algebra system that facilitates number-theory computation. Besides support of factoring, algebraic number theory, and analysis of elliptic curves, it works with mathematical objects like matrices, polynomials, power series , algebraic numbers, and transcendental functions . [ 3 ]

  5. SymPy - Wikipedia

    en.wikipedia.org/wiki/SymPy

    SymPy includes features ranging from basic symbolic arithmetic to calculus, algebra, discrete mathematics, and quantum physics. It is capable of formatting the result of the computations as LaTeX code. [4] [5] SymPy is free software and is licensed under the 3-clause BSD. The lead developers are Ondřej Čertík and Aaron Meurer.

  6. SageMath - Wikipedia

    en.wikipedia.org/wiki/SageMath

    Both binaries and source code are available for SageMath from the download page. If SageMath is built from source code, many of the included libraries such as OpenBLAS, FLINT, GAP (computer algebra system), and NTL will be tuned and optimized for that computer, taking into account the number of processors, the size of their caches, whether there is hardware support for SSE instructions, etc.

  7. Generator (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Generator_(mathematics)

    In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that of a smaller set of objects, together with a set of operations that can be applied to it, that result in the creation of a larger collection of objects, called the generated set .

  8. Macsyma - Wikipedia

    en.wikipedia.org/wiki/Macsyma

    In early 1995 the company shipped Macsyma 2.0.5, with many improvements: On Wester's large test of symbolic math, Macsyma 2.0.5 scored 10% better than Maple and 15% better than Mathematica. [12] Although Macsyma 2.0.5 was still very slow at numerics, it had a greatly strengthened portfolio of numerical analysis and linear algebra routines.

  9. 96 Shortcuts for Accents and Symbols: A Cheat Sheet

    www.aol.com/96-shortcuts-accents-symbols-cheat...

    The post 96 Shortcuts for Accents and Symbols: A Cheat Sheet appeared first on Reader's Digest. ... Whether you prefer to use a Mac or a Windows PC, you might think you know all your computer’s ...

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