publication . Article . 2017

Пересечения полиномиальных линий с плоскостями

Поликанова, И.В.;
Open Access Russian
  • Published: 01 Nov 2017 Journal: Izvestiya of Altai State University (issn: 1561-9451, eissn: 1561-9443, Copyright policy)
  • Publisher: Izvestiya of Altai State University
There are different approaches to determining such characteristics of a curve as osculating plane, flattening and its order. The difference in approaches is because the curves are considered in different spaces: affine and projective. Therefore, the wordings are given in terms of the relevant structures: for curves in affine space – through a linear dependence or independence of the vector systems, for curves in the projective space – through the intersection multiplicity of a curve and the planes. The interpenetration of the two points of view can be realized through the common to both spaces concept of intersection multiplicity of a curve and a surface or thro...

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