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  2. 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.

  3. 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.

  4. SageMath - Wikipedia

    en.wikipedia.org/wiki/SageMath

    SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation" [3]) is a computer algebra system (CAS) with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, group theory, differentiable manifolds, numerical analysis, number theory, calculus and statistics.

  5. 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 ...

  6. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Leonhard Euler, Elements of Algebra, 1770. English translation Tarquin Press, 2007, ISBN 978-1-899618-79-8, also online digitized editions [45] 2006, [46] 1822. Charles Smith, A Treatise on Algebra, in Cornell University Library Historical Math Monographs. Redden, John. Elementary Algebra Archived 2016-06-10 at the Wayback Machine. Flat World ...

  7. 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.

  8. 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.

  9. Spinor - Wikipedia

    en.wikipedia.org/wiki/Spinor

    The constructions given above, in terms of Clifford algebra or representation theory, can be thought of as defining spinors as geometric objects in zero-dimensional space-time. To obtain the spinors of physics, such as the Dirac spinor, one extends the construction to obtain a spin structure on 4-dimensional space-time (Minkowski space).