Emcient Evaluation of Polynomial Forms

Polynomial evaluation groupoids and their groups

In this paper, we show how certain metabelian groups can be found within polynomial evaluation groupoids. We show that every finite abelian group can beobtained as a polynomial evaluation groupoid.

Comparison of Diagnostic Value of Cast Analyzer X Iranian Software versus Curve Expert Software for Arch Form Construction based on Mathematical Models

  Objective: For the assessment of primary arch form, different methods have been used including qualitative classifications, inter-canine and inter-molar widths and quantitative and numerical methods using mathematical models. The purpose of this study was to compare the validity and reliability of Cast Analyzer X Iranian software with those of Curve Expert Professional version 1.1 for arch fo...

The Location of the Roots of Polynomial Equations by the Repeated Evaluation of Linear Forms* By

NoteEMcient Synthesis of a Sialyl T - antigen - } inked by the Chemoenzymatie Method Glycopeptide JSasA

glycopeptides are expected to greatly mediate their biological properties and functions.') The demand for easy synthesis of such peptides and proteins bearing sugar chains is thus increasing.2} The synthesis of N-linked glycopeptides has been performed by transglycosylating the entire structure of a high-mannose type or complex-type sugar chain to GlcNAc-linked peptides by utilizing endo N-acet...

The numerical stability of barycentric Lagrange interpolation

The Lagrange representation of the interpolating polynomial can be rewritten in two more computationally attractive forms: a modified Lagrange form and a barycentric form. We give an error analysis of the evaluation of the interpolating polynomial using these two forms. The modified Lagrange formula is shown to be backward stable. The barycentric formula has a less favourable error analysis, bu...