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

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

    SageMath is designed partially as a free alternative to the general-purpose mathematics products Maple and MATLAB. It can be downloaded or used through a web site. SageMath comprises a variety of other free packages, with a common interface and language. SageMath is developed in Python.

  3. FORM (symbolic manipulation system) - Wikipedia

    en.wikipedia.org/wiki/FORM_(symbolic...

    FORM was started in 1984 as a successor to Schoonschip, an algebra engine developed by M. Veltman. It was initially coded in FORTRAN 77, but rewritten in C before the release of version 1.0 in 1989. Version 2.0 was released in 1991. The version 3.0 of FORM has been publicized in 2000.

  4. 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.

  5. An Exceptionally Simple Theory of Everything - Wikipedia

    en.wikipedia.org/wiki/An_Exceptionally_Simple...

    The paper was posted to the physics arXiv by Antony Garrett Lisi on November 6, 2007, and was not submitted to a peer-reviewed scientific journal. [3] The title is a pun on the algebra used, the Lie algebra of the largest "simple", "exceptional" Lie group, E 8.

  6. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    When used as a countable noun, an algebra is a specific type of algebraic structure that involves a vector space equipped with a certain type of binary operation. [15] Depending on the context, "algebra" can also refer to other algebraic structures, like a Lie algebra or an associative algebra. [16] The word algebra comes from the Arabic term ...

  7. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    [1] Elementary algebra, also known as high school algebra or college algebra, [2] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 3 ] whilst algebra introduces variables (quantities without fixed values).

  8. Screw theory - Wikipedia

    en.wikipedia.org/wiki/Screw_theory

    A twist is a screw used to represent the velocity of a rigid body as an angular velocity around an axis and a linear velocity along this axis. All points in the body have the same component of the velocity along the axis, however the greater the distance from the axis the greater the velocity in the plane perpendicular to this axis.

  9. Spinor - Wikipedia

    en.wikipedia.org/wiki/Spinor

    The Clifford algebra is an associative algebra that can be constructed from Euclidean space and its inner product in a basis-independent way. Both the spin group and its Lie algebra are embedded inside the Clifford algebra in a natural way, and in applications the Clifford algebra is often the easiest to work with.

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