Abstract
It is known that a continuous function z \( \mapsto \) f (z) can only be presented in a computing machine discretely because of the limited number of digits of the arithmetic of the finite precision. The graph off is only more or less well approximated by a set of points inside a certain interval. For that reason it is practically impossible to determine a value of f without a detailed information about the rounding error. In the case of a complex function, the constants which appear in the expression for that function are not exact complex numbers but discs with small radii (Henrici [3]). Besides, in solving practical problems one often deals with uncertain or approximate numbers as initial data.
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© 1993 Springer Science+Business Media Dordrecht
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Petković, M.S. (1993). Inclusive Calculus of Residues. In: The Cauchy Method of Residues Volume 2. Mathematics and Its Applications, vol 259. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2000-5_10
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DOI: https://doi.org/10.1007/978-94-011-2000-5_10
Publisher Name: Springer, Dordrecht
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