Error analysis for segment approximation to algebraic curve
Xikun Liang
Abstract
Xikun Liang
Abstract
Based on the error function of the segment approximation to algebraic curve,the profound theoretical analysis is developed.The general algorithm of the error bound is given according to the error formula.A new error is defined with intuitive geometric sense and simple calculation.With the numerical experiment,the practicality and effectiveness of the new error are demonstrated.
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Based on the error function of the segment approximation to algebraic curve,the profound theoretical analysis is developed.The general algorithm of the error bound is given according to the error formula.A new error is defined with intuitive geometric sense and simple calculation.With the numerical experiment,the practicality and effectiveness of the new error are demonstrated.
Key concepts: Error analysis, Approximation error, Simple (philosophy), Function (biology), Algebraic number, Mathematics, Error function, Round-off error