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approximation theory

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Teorija aproksimacije

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Some attempt to create approximate theories, called effective theories, because fully developed theories may be regarded as unsolvable or too complicated.
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In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.
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Approximation theory studies how to find the best approximation to a given function by another function from some predetermined class, and how good this approximation is.
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Journal of Approximation Theory Constructive Approximation East Journal on Approximations Chebyshev polynomials Estimation theory Generalized Fourier series Orthogonal polynomials Orthonormal basis Fourier series Schauder basis Padé approximant Function approximation N. I. Achiezer (Akhiezer), Theory of approximation, Translated by Charles J. Hyman Frederick Ungar Publishing Co., New York 1956 x+307 pp.
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Newton's law has since been superseded by Albert Einstein's theory of general relativity, but it continues to be used as an excellent approximation of the effects of gravity in most applications.
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