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Before Newton�s mathematical theory of gravitation was accepted, everybody in medieval Europe, rich and poor, educated and peasant, believed as firmly as the sun rising in the East each morning that angels commanded by God pushed the planets around in their observable orbits. Error estimates for the solution of the radial Schrodinger equation by the Rayleigh-Ritz finite element method. Then, for the second, parent movie clip, scale it along x by 200%. For example, if A is an m-by-n matrix, x designates a column vector (i.e., n×1-matrix) of n variables x1, x2, ..., xn, and b is an m×1-column vector, then the matrix equation Matrices and matrix multiplication reveal their essential features when related to linear transformations, also known to the (matrix) product Ax, which is a vector in Rm.

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