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  2. Comparison of linear algebra libraries - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_linear...

    Free Boost Software License High-performance C++ linear algebra library based on Generic programming: NAG Numerical Library: The Numerical Algorithms Group: C, Fortran 1971 many components Non-free Proprietary General purpose numerical analysis library. NMath: CenterSpace Software: C# 2003 7.1 / 12.2019 Non-free Proprietary

  3. Tangential and normal components - Wikipedia

    en.wikipedia.org/wiki/Tangential_and_normal...

    In mathematics, given a vector at a point on a curve, that vector can be decomposed uniquely as a sum of two vectors, one tangent to the curve, called the tangential component of the vector, and another one perpendicular to the curve, called the normal component of the vector. Similarly, a vector at a point on a surface can be broken down the ...

  4. List of free and open-source software packages - Wikipedia

    en.wikipedia.org/wiki/List_of_free_and_open...

    This is a list of free and open-source software (FOSS) packages, computer software licensed under free software licenses and open-source licenses. Software that fits the Free Software Definition may be more appropriately called free software; the GNU project in particular objects to their works being referred to as open-source. [1]

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

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

    This free software had an earlier incarnation, Macsyma. Developed by Massachusetts Institute of Technology in the 1960s, it was maintained by William Schelter from 1982 to 2001. In 1998, Schelter obtained permission to release Maxima as open-source software under the GNU General Public license and the source code was released later that year ...

  6. Principal component analysis - Wikipedia

    en.wikipedia.org/wiki/Principal_component_analysis

    The k-th principal component of a data vector x (i) can therefore be given as a score t k(i) = x (i) ⋅ w (k) in the transformed coordinates, or as the corresponding vector in the space of the original variables, {x (i) ⋅ w (k)} w (k), where w (k) is the kth eigenvector of X T X. The full principal components decomposition of X can therefore ...

  7. List of finite element software packages - Wikipedia

    en.wikipedia.org/wiki/List_of_finite_element...

    Finite element software for structural, geotechnical, heat transfer and seepage analysis: Intuition Software: 5.11: 2016-01: Proprietary software: Free educational version available [17] Mac OS X, Windows: JCMsuite: Finite element software for the analysis of electromagnetic waves, elasticity and heat conduction: JCMwave GmbH: 5.4.3: 2023-03-09 ...

  8. Swizzling (computer graphics) - Wikipedia

    en.wikipedia.org/wiki/Swizzling_(computer_graphics)

    For example, if A = {1,2,3,4}, where the components are x, y, z, and w respectively, you could compute B = A.wwxy, whereupon B would equal {4,4,1,2}. Additionally, one could create a two-dimensional vector with A.wx or a five-dimensional vector with A.xyzwx. Combining vectors and swizzling can be employed in various ways.

  9. List of numerical-analysis software - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical-analysis...

    ML.NET is a free-software machine-learning library for the C# programming language. [4] [5] NAG Library is an extensive software library of highly optimized numerical-analysis routines for various programming environments. O-Matrix is a proprietary licensed matrix programming language for mathematics, engineering, science, and financial analysis.