Technological University Dublin

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20172026

most citedk-Nearest Neighbour Classifiers: 2nd Edition (with Python examples)

919 citations

Showing 2021 · math.GMShow all

4 papers · 2 filters

math.GM2021★ 1 cited

On Newton's Rule of Signs

Emil M. Prodanov

Analysing the cubic sectors of a real polynomial of degree n, a modification of the Newton Rule is Signs is proposed with which stricter upper bound on the number of real roots can…

math.GM2021★ 5 cited

Isolation Intervals of the Real Roots of the Parametric Cubic Equation and Improved Complete Root Classification

Emil M. Prodanov

The isolation intervals of the real roots of the real symbolic monic cubic polynomial $p (x) = x^{3} + a x^{2} + b x + c$ are found in terms of simple functions of the coefficients…

math.GM2021★ 10 cited

The Siebeck-Marden-Northshield Theorem and the Real Roots of the Symbolic Cubic Equation

Emil M. Prodanov

The isolation intervals of the real roots of the symbolic monic cubic polynomial $x^{3} + a x^{2} + b x + c$ are determined, in terms of the coefficients of the polynomial, by solving…

math.GM2021★ 5 cited

A Method for Locating the Real Roots of the Symbolic Quintic Equation Using Quadratic Equations

Emil M. Prodanov

A method is proposed with which the locations of the roots of the monic symbolic quintic polynomial $x^{5} + a_{4} x^{4} + a_{3} x^{3} + a_{2} x^{2} + a_{1} x + a_{0}$ can be determined using the ro…