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  2. Moment (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Moment_(mathematics)

    In mathematics, the moments of a function are certain quantitative measures related to the shape of the function's graph.If the function represents mass density, then the zeroth moment is the total mass, the first moment (normalized by total mass) is the center of mass, and the second moment is the moment of inertia.

  3. Moment problem - Wikipedia

    en.wikipedia.org/wiki/Moment_problem

    The Problem of Moments. New York: American mathematical society. ISBN 978-1-4704-1228-9. Akhiezer, Naum I. (1965). The classical moment problem and some related questions in analysis. New York: Hafner Publishing Co. (translated from the Russian by N. Kemmer) Kreĭn, M. G.; Nudel′man, A. A. (1977). The Markov Moment Problem and Extremal ...

  4. Hausdorff moment problem - Wikipedia

    en.wikipedia.org/wiki/Hausdorff_moment_problem

    The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes moment problem one considers a half-line [0, ∞), and in the Hamburger moment problem one considers the whole line (−∞, ∞). The Stieltjes moment problems and the Hamburger moment problems, if they are ...

  5. Statics - Wikipedia

    en.wikipedia.org/wiki/Statics

    Statics is the branch of classical mechanics that is concerned with the analysis of force and torque acting on a physical system that does not experience an acceleration, but rather is in equilibrium with its environment.

  6. Statically indeterminate - Wikipedia

    en.wikipedia.org/wiki/Statically_indeterminate

    In statics and structural mechanics, a structure is statically indeterminate when the equilibrium equations – force and moment equilibrium conditions – are insufficient for determining the internal forces and reactions on that structure.

  7. Hamburger moment problem - Wikipedia

    en.wikipedia.org/wiki/Hamburger_moment_problem

    In mathematics, the Hamburger moment problem, named after Hans Ludwig Hamburger, is formulated as follows: given a sequence (m 0, m 1, m 2, ...), does there exist a positive Borel measure μ (for instance, the measure determined by the cumulative distribution function of a random variable) on the real line such that

  8. Moment (physics) - Wikipedia

    en.wikipedia.org/wiki/Moment_(physics)

    The moment of force, or torque, is a first moment: =, or, more generally, .; Similarly, angular momentum is the 1st moment of momentum: =.Momentum itself is not a moment.; The electric dipole moment is also a 1st moment: = for two opposite point charges or () for a distributed charge with charge density ().

  9. Moment measure - Wikipedia

    en.wikipedia.org/wiki/Moment_measure

    In probability and statistics, a moment measure is a mathematical quantity, function or, more precisely, measure that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both.

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