4 citations · 10 across the 6 of their papers we have counts for
6 papers
Sketches from the life of hypercomplex numbers
K. V. Andreev
In the article, the main ideas of the induction construction arXiv:1204.0194, arXiv:1110.4737, arXiv:1202.0941, arXiv:1208.4466 are considered in the form of sketches. The article…
On the classification of metric hypercomplex group alternative-elastic algebras for n=8
K. V. Andreev
In this article, the clarification to Note 4 (arXiv:1202.0941) for n=8 is considered. In this connection, answers to the following questions are given. 1. How to classify the metri…
Spinor formalism and the geometry of six-dimensional Riemannian spaces
K. V. Andreev
The article consists of the Russian and English variants of Ph.D. Thesis in which the answers is given on the following questions: 1. how to construct the spinor formalism for n=6;…
On the metric hypercomplex group alternative-elastic algebras for n mod 8 = 0
K. V. Andreev
In this article the hypercomplex orthogonal (homogenous) algebra definition is made. It is shown that 1. the hypercomplex orthogonal algebra is the metric hypercomplex group altern…
On the spinor formalism for even n
K. V. Andreev
Spinor formalism is the formalism induced by solutions of the Clifford equation (the connecting operators). For the space-time manifold (n = 4), these operators, connecting the tan…
Using of Phenomenological Piecewise Continuous Map for Modeling of Neurons Behaviour
K. V. Andreev, L. V. Krasichkov
A piecewise continuous map for modeling bursting and spiking behaviour of isolated neuron is proposed. The map was created from phenomenological viewpoint. The map demonstrates osc…