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  2. Three-body problem - Wikipedia

    en.wikipedia.org/wiki/Three-body_problem

    The three-body problem is a special case of the n-body problem, which describes how n objects move under one of the physical forces, such as gravity. These problems have a global analytical solution in the form of a convergent power series, as was proven by Karl F. Sundman for n = 3 and by Qiudong Wang for n > 3 (see n-body problem for details

  3. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). [25] Modern numerical analysis does not seek exact answers, because exact answers are often impossible to obtain in practice.

  4. Euler's three-body problem - Wikipedia

    en.wikipedia.org/wiki/Euler's_three-body_problem

    The Euler three-body problem is known by a variety of names, such as the problem of two fixed centers, the Euler–Jacobi problem, and the two-center Kepler problem. The exact solution, in the full three dimensional case, can be expressed in terms of Weierstrass's elliptic functions [ 2 ] For convenience, the problem may also be solved by ...

  5. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    [3] [4] Later work, ... and turn calculus into the great problem-solving tool we have today". ... in practice, it is the standard way to solve differential equations ...

  6. Archimedes Palimpsest - Wikipedia

    en.wikipedia.org/wiki/Archimedes_Palimpsest

    A problem solved exclusively in the Method is the calculation of the volume of a cylindrical wedge, a result that reappears as theorem XVII (schema XIX) of Kepler's Stereometria. Some pages of the Method remained unused by the author of the palimpsest and thus they are still lost.

  7. Inverse problem for Lagrangian mechanics - Wikipedia

    en.wikipedia.org/wiki/Inverse_problem_for...

    In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can arise as the Euler–Lagrange equations for some Lagrangian function. There has been a great deal of activity in the study of this problem since the early 20th century.

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