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Coordinate-free treatment

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  1. treatment of a scientific theory or mathematical topic develops its ideas without reference to any particular coordinate system

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 3, 2009
  2. treatments generally allow for simpler systems of equations, allowing greater mathematical elegance at the cost of some abstraction from the detailed formulae needed to evaluate these equations within a particular system of coordinates

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 3, 2009
  3. treatments were the only possible approach to geometry before the development of analytic geometry by Descartes

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 3, 2009
  4. After several centuries of generally coordinate-based exposition, the "modern" tendency is now generally to introduce students to coordinate-free treatments early on, and then to derive the coordinate-based treatments from the coordinate-free treatme

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 3, 2009
  5. Fields which are now often introduced with coordinate-free treatments include vector calculus, tensors, and differential geometry

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 3, 2009
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