Titlebook: General Theory of Irregular Curves; A. D. Alexandrov,Yu. G. Reshetnyak Book 1989 Kluwer Academic Publishers 1989 convergence.differentiabl

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0169-6378 Overview: 978-94-010-7671-5978-94-009-2591-5Series ISSN 0169-6378

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General Notion of a Curve,chet. Here we are going to dwell in detail on the definition of a curve with the aim of clarifying certain peculiarities that are important while discussing the theory of curves, and of presenting the definition of a curve in a more geometrical form as compared to the classical definition by M. Frec

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Some Additional Remarks,nce (. ? 1) numbers of ., ., ... , . of the curvatures at the point of the curve. Let us set . where integration is carried out with respect to the arc length. The functions obtained in this way will be called integral curvatures of the curve. There arises a problem — to give such a definition of th