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Дифференцируемое отображение, порожденное комплексами конусов

Дифференцируемое отображение, порожденное комплексами конусов

Abstract

В трехмерном эквиаффинном пространстве рассматривается дифференцируемое отображение, порожденное комплексами конусов со специальными свойствами ассоциированных образов. Геометрически охарактеризованы индикатриса и главное направление исследуемого отображения, характеристическое и фокальное многообразия образующего элемента комплекса.

In three-dimensional equiaffine space we consider differentiable mapping generated by complexes of cones with special properties of associated images. Indicatrix and the main direction of the investigated mapping, characteristic and focal manifold for the forming element of the complex are geometrically characterized.

Keywords

комплекс, эквиаффинное пространство, отображение, характеристическое многообразие, фокальное многообразие, индикатриса вектора, главное направление, индикатриса отображения, конгруэнция, система уравнений Пфаффа

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold