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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. 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.

  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. 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).

  6. 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.

  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. Clifford algebra - Wikipedia

    en.wikipedia.org/wiki/Clifford_algebra

    A Clifford algebra is a unital associative algebra that contains and is generated by a vector space V over a field K, where V is equipped with a quadratic form Q : V → K.The Clifford algebra Cl(V, Q) is the "freest" unital associative algebra generated by V subject to the condition [c] = , where the product on the left is that of the algebra, and the 1 on the right is the algebra's ...

  9. Simple algebra (universal algebra) - Wikipedia

    en.wikipedia.org/wiki/Simple_algebra_(universal...

    The same remark applies with respect to groups and normal subgroups; hence the universal notion is also a generalization of a simple group (it is a matter of convention whether a one-element algebra should be or should not be considered simple, hence only in this special case the notions might not match).

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