The derivation formulas and equations for an affine space structure from the point of view of smooth manifolds
Using the derivation formulas of Akivis and the Laptev structure equations for smooth manifolds, two methods yield corresponding formulas and equations for an affine space are received. The hierarchy of smooth manifolds and a principal bundle of linear coframes over a smooth ...
Opposition of modalities in petition formulas as a reflection of the business correspondence culture in the Russian languagee of late XVII — early XVIII cc.
Using the texts of petitions as a genre of business correspondence in the initial period of the formation of the Russian language, the authors explore the specifics of the formulas that make up phraseological units. Employing a functional-semantic analysis of the modalities of possibility/impossibility in the texts of petitions, the authors identify the role of these modalities in the structure of business documents reflecting ...
Akivis derivation formulas and Laptev structure equations on the surface of an affine space
The smooth surface in affine space is considered. With the derivation formulas and equations of the structure of an affine space constructed three pairs Akivis-Laptev on the surface. It is shown that the surface of an affine space is a holonomic smooth manifold.
1. Акивис М. А. Многомерная дифференциальная ...