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On Angles between Linear Subspaces in \(\mathbb R^4\) and the Singularity

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Abstract

We generalize the Khinchin singularity phenomenon for the problem in which, for a given irrational linear subspace, rational subspaces forming the least angle with the given subspace are sought.

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Funding

The work was financially supported by the “Basis” Foundation under grant no. 21-7-1-33-1 and also by the Ministry of Education and Science of Russia as part of the implementation of the Program of the Moscow Center for Fundamental and Applied Mathematics under agreement no. 075-15-2022-284.

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Correspondence to A. O. Chebotarenko.

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Translated from Matematicheskie Zametki, 2024, Vol. 115, pp. 450–457 https://doi.org/10.4213/mzm13997.

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Chebotarenko, A.O. On Angles between Linear Subspaces in \(\mathbb R^4\) and the Singularity. Math Notes 115, 414–419 (2024). https://doi.org/10.1134/S0001434624030131

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  • DOI: https://doi.org/10.1134/S0001434624030131

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