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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.
It is computationally efficient and, because the points form a symmetric distribution, captures the third central moment (the skew) whenever the underlying distribution of the state estimate is known or can be assumed to be symmetric. [2] He also showed that weights, including negative weights, can be used to affect the statistics of the set.
The first cumulant is the expected value; the second and third cumulants are respectively the second and third central moments (the second central moment is the variance); but the higher cumulants are neither moments nor central moments, but rather more complicated polynomial functions of the moments.
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In mathematics, the structure tensor, also referred to as the second-moment matrix, is a matrix derived from the gradient of a function.It describes the distribution of the gradient in a specified neighborhood around a point and makes the information invariant to the observing coordinates.
The movie, based on a Pulitzer Prize-winning novel, was remade in 2006, a version poorly reviewed despite an all-star cast that includes Sean Penn, Jude Law, Kate Winslet and Anthony Hopkins. 28 ...
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For the second-order approximations of the third central moment as well as for the derivation of all higher-order approximations see Appendix D of Ref. [3] Taking into account the quadratic terms of the Taylor series and the third moments of the input variables is referred to as second-order third-moment method. [4] However, the full second ...
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