A formal quotient of polynomials, that is, an algebraic fraction wherein the numerator and denominator are polynomials, is called a " rational expression " or " rational fraction " and is not, in general, a polynomial.
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Numerical evaluation of Li " " n " ( " z " ) by this series does not suffer from the cancellation effects that the finite rational expressions given under particular values above exhibit for large " n ".
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I currently own a copy of Michael Spivak's " Calculus " but the exercises and jumps in logic are way too hard; I want to re-cement my understanding of numbers, operations, rational expressions, inequalities, polynomials, rearranging etc . before going back to it.
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As " n " becomes large, the numerical evaluation of these rational expressions increasingly suffers from cancellation; full accuracy can be obtained, however, by computing Li " " n " ( " z " ) via the general relation with the Hurwitz zeta function ( see below ).
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On any elliptic curve, by which is meant a curve of genus 1 and a point selected to serve the neutral element, the sum of two points is given by a rational expression of the coordinates of the points, although in general one may need to use several formulas to cover all possible pairs.
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One kept thinking about Armani and his clothes last week in the middle of the French Spring 2001 collections _ thinking about how to view his achievement at a time when much of the focus in fashion has not only shifted away from Armani, but also from almost everything he has symbolized _ above all, the rational expression of style.
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