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One of these pairs is generated by a homology group, while the other is generated by a cohomology group.

A new method of analysis of mechanical and electric circuits is proposed, which consists of representing the main variables and matrices of oscillatory circuits in terms of multidimensional tensor objects. A solution for the problem of defining eigenvalues of pure-loop and pure-node circuits is obtained. A new method is developed for defining a full range of eigenvalues of linear oscillatory systems with a great number of degrees of freedom.

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It's mostly pretty standard linear algebra (from matrix operations to vector spa | Hacker News

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Advertisement Hide. Tensor-geometric methods for problems of the circuit theory. Authors Authors and affiliations A. This process is experimental and the keywords may be updated as the learning algorithm improves. This is a preview of subscription content, log in to check access.

Circuits, Matrices and Linear Vector Spaces (Paperback, Dover)

Aleksandrov, Combinatorial Topology [in Russian], Gostekhizdat Google Scholar. Andronov et al. MathSciNet Google Scholar. USA , — Press, Chicago Cartan and S. Courant and D. Fadeyev and V. Fomenko and D. Gantmakher and M. Gelfand and S.

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