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  2. Kutta–Joukowski theorem - Wikipedia

    en.wikipedia.org/wiki/Kutta–Joukowski_theorem

    The Kutta–Joukowski theorem is a fundamental theorem in aerodynamics used for the calculation of lift of an airfoil (and any two-dimensional body including circular cylinders) translating in a uniform fluid at a constant speed so large that the flow seen in the body-fixed frame is steady and unseparated.

  3. Dimensional analysis - Wikipedia

    en.wikipedia.org/wiki/Dimensional_analysis

    A simple application of dimensional analysis to mathematics is in computing the form of the volume of an n-ball (the solid ball in n dimensions), or the area of its surface, the n-sphere: being an n-dimensional figure, the volume scales as x n, while the surface area, being (n − 1)-dimensional, scales as x n−1.

  4. Infinite Dimensional Analysis, Quantum Probability and ...

    en.wikipedia.org/wiki/Infinite_Dimensional...

    Infinite Dimensional Analysis, Quantum Probability and Related Topics is a quarterly peer-reviewed scientific journal published since 1998 by World Scientific. It covers the development of infinite dimensional analysis , quantum probability , and their applications to classical probability and other areas of physics .

  5. Randall–Sundrum model - Wikipedia

    en.wikipedia.org/wiki/Randall–Sundrum_model

    The model is a braneworld theory developed while trying to solve the hierarchy problem of the Standard Model.It involves a finite five-dimensional bulk that is extremely warped and contains two branes: the Planckbrane (where gravity is a relatively strong force; also called "Gravitybrane") and the Tevbrane (our home with the Standard Model particles; also called "Weakbrane").

  6. Runge–Kutta methods - Wikipedia

    en.wikipedia.org/wiki/Runge–Kutta_methods

    In numerical analysis, the Runge–Kutta methods (English: / ˈ r ʊ ŋ ə ˈ k ʊ t ɑː / ⓘ RUUNG-ə-KUUT-tah [1]) are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal discretization for the approximate solutions of simultaneous nonlinear equations. [2]

  7. Infinite-dimensional optimization - Wikipedia

    en.wikipedia.org/wiki/Infinite-dimensional...

    In certain optimization problems the unknown optimal solution might not be a number or a vector, but rather a continuous quantity, for example a function or the shape of a body. Such a problem is an infinite-dimensional optimization problem, because, a continuous quantity cannot be determined by a finite number of certain degrees of freedom.

  8. List of Runge–Kutta methods - Wikipedia

    en.wikipedia.org/wiki/List_of_Runge–Kutta_methods

    Diagonally Implicit Runge–Kutta (DIRK) formulae have been widely used for the numerical solution of stiff initial value problems; [6] the advantage of this approach is that here the solution may be found sequentially as opposed to simultaneously. The simplest method from this class is the order 2 implicit midpoint method.

  9. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Each packing problem has a dual covering problem, which asks how many of the same objects are required to completely cover every region of the container, where objects are allowed to overlap. In a bin packing problem, people are given: A container, usually a two- or three-dimensional convex region, possibly of infinite size. Multiple containers ...

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