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  2. GeoGebra - Wikipedia

    en.wikipedia.org/wiki/GeoGebra

    GeoGebra (a portmanteau of geometry and algebra) is an interactive geometry, algebra, statistics and calculus application, intended for learning and teaching mathematics and science from primary school to university level.

  3. PARI/GP - Wikipedia

    en.wikipedia.org/wiki/PARI/GP

    PARI/GP is a computer algebra system with the main aim of facilitating number theory computations. Versions 2.1.0 and higher are distributed under the GNU General Public License . It runs on most common operating systems .

  4. Field trace - Wikipedia

    en.wikipedia.org/wiki/Field_trace

    The trace, Tr L/K (α), is defined as the trace (in the linear algebra sense) of this linear transformation. [ 1 ] For α in L , let σ 1 ( α ), ..., σ n ( α ) be the roots (counted with multiplicity) of the minimal polynomial of α over K (in some extension field of K ).

  5. 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]

  6. Great-circle distance - Wikipedia

    en.wikipedia.org/wiki/Great-circle_distance

    A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v are also shown.. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them.

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  8. Gram–Schmidt process - Wikipedia

    en.wikipedia.org/wiki/Gram–Schmidt_process

    The first two steps of the Gram–Schmidt process. In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process or Gram-Schmidt algorithm is a way of finding a set of two or more vectors that are perpendicular to each other.

  9. Magma (computer algebra system) - Wikipedia

    en.wikipedia.org/wiki/Magma_(computer_algebra...

    Integer factorization algorithms include the Elliptic Curve Method, the Quadratic sieve and the Number field sieve. Algebraic number theory; Magma includes the KANT computer algebra system for comprehensive computations in algebraic number fields. A special type also allows one to compute in the algebraic closure of a field. Module theory and ...