Approximation of real numbers with rational number sequences

On approximation of real numbers by real algebraic numbers

Approximation of the n-th Root of a Fuzzy Number by Polynomial Form Fuzzy Numbers

In this paper we introduce the root of a fuzzy number, and we present aniterative method to nd it, numerically. We present an algorithm to generatea sequence that can be converged to n-th root of a fuzzy number.

Notes on Rational and Real Numbers

The notion of a number is as old as mathematics itself, and their developments have been inseparable. Usually a new set of numbers included the old set, or, as we often say, extended it. In this way, the set {1, 2, 3, ...} of natural numbers, has been extended by adding zero to it, negative integers, rational numbers (fractions), irrational numbers, complex numbers. The actual extensions happen...

Rational Approximation on the Positive Real Axis

Introduction Rational Chebyshev approximation to reciprocals of certain entire functions by reciprocals of polynomials on the positive real axis has recently attracted the attention of many mathematicians . By developing certain new methods of approach we successfully attacked ([3]-[6]) some of the related problems . This paper is a continuation of our earlier papers ([3]-[6] ) . The results of...

Rational quadratic approximation to real algebraic curves

An algorithm is proposed to give a global approximation of an implicit real plane algebraic curve with rational quadratic B-spline curves. The algorithm consists of four steps: topology determination, curve segmentation, segment approximation and curve tracing. Due to the detailed geometric analysis, high accuracy of approximation may be achieved with a small number of quadratic segments. The f...