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  2. Föppl–von Kármán equations - Wikipedia

    en.wikipedia.org/wiki/Föppl–von_Kármán...

    While the Föppl–von Kármán equations are of interest from a purely mathematical point of view, the physical validity of these equations is questionable. [7] Ciarlet [8] states: The two-dimensional von Karman equations for plates, originally proposed by von Karman [1910], play a mythical role in applied mathematics. While they have been ...

  3. Center of mass - Wikipedia

    en.wikipedia.org/wiki/Center_of_mass

    In orbital mechanics, the equations of motion of planets are formulated as point masses located at the centers of mass (see Barycenter (astronomy) for details). The center of mass frame is an inertial frame in which the center of mass of a system is at rest with respect to the origin of the coordinate system.

  4. Udwadia–Kalaba formulation - Wikipedia

    en.wikipedia.org/wiki/Udwadia–Kalaba_formulation

    In classical mechanics, the Udwadia–Kalaba formulation is a method for deriving the equations of motion of a constrained mechanical system. [1] [2] The method was first described by Anatolii Fedorovich Vereshchagin [3] [4] for the particular case of robotic arms, and later generalized to all mechanical systems by Firdaus E. Udwadia and Robert E. Kalaba in 1992. [5]

  5. Displacement - Wikipedia

    en.wikipedia.org/wiki/Displacement

    Displacement (linguistics), the ability of humans (and possibly some animals) to communicate ideas that are remote in time and/or space; Forced displacement, by persecution or violence; Displacement (psychology), a sub-conscious defense mechanism; Displacement (parapsychology), a statistical or qualitative correspondence between targets and ...

  6. Detailed balance - Wikipedia

    en.wikipedia.org/wiki/Detailed_balance

    A Markov process is called a reversible Markov process or reversible Markov chain if there exists a positive stationary distribution π that satisfies the detailed balance equations [13] =, where P ij is the Markov transition probability from state i to state j, i.e. P ij = P(X t = j | X t − 1 = i), and π i and π j are the equilibrium probabilities of being in states i and j, respectively ...

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  8. Method of dominant balance - Wikipedia

    en.wikipedia.org/wiki/Method_of_dominant_balance

    In mathematics, the method of dominant balance approximates the solution to an equation by solving a simplified form of the equation containing 2 or more of the equation's terms that most influence (dominate) the solution and excluding terms contributing only small modifications to this approximate solution.

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