18 citations · 128 across the 21 of their papers we have counts for
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Restricted linear properties of scalar product in T-geometry
Yuri A. Rylov
It is shown that scalar product of two vectors can be introduced in any geometry (metric space) independently of possibility of the linear space introduction. In general, linear pr…
Dynamics of stochastic systems and peculiarities of measurements in them
Yuri A. Rylov
One calls attention to the fact that the stochastic physical systems are not random completely. They have both random and regular components of their evolution. Dynamic system is c…
Deformation principle and problem of parallelism in geometry and physics
Yuri A. Rylov
The deformation principle admits one to obtain a very broad class of nonuniform geometries as a result of deformation of the proper Euclidean geometry. The Riemannian geometry is a…
The Euclidean geometry deformations and capacities of their application to microcosm space-time geometry
Yuri A. Rylov
Usually a Riemannian geometry is considered to be the most general geometry, which could be used as a space-time geometry. In fact, any Riemannian geometry is a result of some defo…
Asymmetric Nondegenerate Geometry
Yuri Rylov
Nondegenerate geometry (T-geometry) with nonsymmetric world function is considered. In application to the space-time geometry the asymmetry of world function means that the past an…
Associative delusions and problem of their overcoming
Yuri A. Rylov
Influence of associative delusions (AD) onto development of physics and mathematics is investigated. The associative delusion (AD) means a mistake, appearing from incorrect associa…